Content Category:
Adult Content: No
Type: Page
$8.95
DOMAIN VALUE
ABOUT DOMAIN
Welcome to the LMFDB, the database of L-functions, modular forms, and related objects. These pages are intended to be a modern handbook including tables, formulas, links, and references for L-functions and their underlying objects.
Lmfdb.org DomainSpy Website Analytics Score
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Lmfdb.org Traffic Check
How many visitors are reaching your site, how often they come and how long they stay.
5,138,427
RANK
1,020
Monthly Unique Visitors
3,060
Monthly pageviews
$0
Revenue Per Day
Top 5 Countries By Traffic
| Country Code | Rank | Page Views | Users |
|---|
Lmfdb.org Google PageSpeed and YSlow Score
Measuring the strength of your website’s page load time
84/100
Google PageSpeed Score
78/100
YSlow Score
1.22
Page Size [megabytes]
0.5
Page Load Time [s]
Serve static assets with an efficient cache policy
Type: Cookie
Priority: High
A long cache lifetime can speed up repeat visits to your page.
Click here to learn how to optimize this | URL | Cache TTL [duration] | Size [kb] |
|---|---|---|
| https://www.lmfdb.org/style.css | 600000 | 39255 |
| https://www.gstatic.com/charts/loader.js | 3600000 | 14458 |
| https://ssl.google-analytics.com/ga.js | 7200000 | 17838 |
| https://www.lmfdb.org/static/jquery.dataTables.js | 43200000 | 361606 |
| https://www.lmfdb.org/static/images/smalluniverse.png | 43200000 | 147521 |
| https://www.lmfdb.org/static/images/sp_image.png | 43200000 | 56097 |
| https://www.lmfdb.org/static/images/families.png | 43200000 | 35761 |
| https://www.lmfdb.org/static/images/plot.png | 43200000 | 28181 |
| https://www.lmfdb.org/static/lmfdb.js | 43200000 | 21657 |
| https://www.lmfdb.org/static/images/compute.png | 43200000 | 16174 |
| https://www.lmfdb.org/static/images/search2.png | 43200000 | 15950 |
| https://www.lmfdb.org/static/showdown.min.js | 43200000 | 10142 |
| https://www.lmfdb.org/static/images/lmfdb-logo.png | 43200000 | 9790 |
| https://www.lmfdb.org/static/jquery.watermark.min.js | 43200000 | 4993 |
| https://www.lmfdb.org/static/jquery.dataTables.plugins.js | 43200000 | 4233 |
Eliminate render-blocking resources
Type: CSS/JS
Priority: High
Resources are blocking the first paint of your page. Consider delivering critical JS/CSS inline and deferring all non-critical JS/styles.
Click here to learn how to optimize this | URL | Size [Bytes] | Potential Savings |
|---|---|---|
| https://www.lmfdb.org/style.css | 39255 | 390 |
| https://ajax.googleapis.com/ajax/libs/jquery/3.2.1/jquery.min.js | 31053 | 510 |
| https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.js | 68696 | 710 |
| https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/themes/smoothness/jquery-ui.css | 9161 | 310 |
| https://www.lmfdb.org/static/jquery.watermark.min.js | 4993 | 190 |
| https://www.lmfdb.org/static/lmfdb.js | 21657 | 310 |
| https://www.lmfdb.org/static/showdown.min.js | 10142 | 230 |
| https://www.lmfdb.org/static/jquery.dataTables.js | 361606 | 990 |
| https://www.lmfdb.org/static/jquery.dataTables.plugins.js | 4233 | 150 |
| https://www.google.com/jsapi | 550 | 230 |
| https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css | 3699 | 230 |
| https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/copy-tex.css | 1055 | 150 |
| https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/copy-tex.min.js | 1772 | 150 |
Overall Saving: 827[ms]
First Contentful Paint
Type: Content
Priority: Medium
First Contentful Paint marks the time at which the first text or image is painted.
Click here to learn how to optimize this First Meaningful Paint
Type: Content
Priority: Medium
First Meaningful Paint measures when the primary content of a page is visible.
Click here to learn how to optimize this Enable text compression
Type: Server
Priority: Medium
Text-based resources should be served with compression (gzip, deflate or brotli) to minimize total network bytes.
Click here to learn how to optimize this | URL | Size [Bytes] | Potential Savings [Bytes] |
|---|---|---|
| https://www.lmfdb.org/static/jquery.dataTables.js | 361238 | 279878 |
| https://www.lmfdb.org/style.css | 39058 | 30701 |
| https://www.lmfdb.org/static/lmfdb.js | 21291 | 14269 |
| https://www.lmfdb.org/ | 15588 | 11281 |
| https://www.lmfdb.org/static/showdown.min.js | 9779 | 6350 |
| https://www.lmfdb.org/static/jquery.watermark.min.js | 4629 | 2794 |
| https://www.lmfdb.org/static/jquery.dataTables.plugins.js | 3869 | 2415 |
Overall Saving: 400[ms], 347688[Bytes]
Minify JavaScript
Type: JS
Priority: Low
Minifying JavaScript files can reduce payload sizes and script parse time.
Click here to learn how to optimize this | URL | Size [Bytes] | Potential Savings [Bytes] |
|---|---|---|
| https://www.lmfdb.org/static/jquery.dataTables.js | 361606 | 253174 |
| https://www.lmfdb.org/static/lmfdb.js | 21657 | 9417 |
Overall Saving: 200[ms], 262591[Bytes]
Speed Index
Type: Content
Priority: Low
Speed Index shows how quickly the contents of a page are visibly populated.
Click here to learn how to optimize this Properly Compress Your Images
Type: Images
Priority: Low
Serve images that are appropriately-sized to save cellular data and improve load time.
Click here to learn how to optimize this | URL | Size [Bytes] | Potential Savings [Bytes] |
|---|---|---|
| https://www.lmfdb.org/static/images/smalluniverse.png | 147166 | 142453 |
| https://www.lmfdb.org/static/images/sp_image.png | 55744 | 35993 |
| https://www.lmfdb.org/static/images/plot.png | 27829 | 24895 |
| https://www.lmfdb.org/static/images/families.png | 35408 | 19870 |
| https://www.lmfdb.org/static/images/search2.png | 15597 | 7021 |
| https://www.lmfdb.org/static/images/compute.png | 15821 | 6327 |
| https://www.lmfdb.org/static/images/lmfdb-logo.png | 9439 | 6218 |
Overall Saving: 160[ms], 242777[Bytes]
Max Potential First Input Delay
Type: Server
Priority: Low
The maximum potential First Input Delay that your users could experience is the duration, in milliseconds, of the longest task.
Click here to learn how to optimize this Remove unused CSS
Type: CSS
Priority: Low
Remove dead rules from stylesheets and defer the loading of CSS not used for above-the-fold content to reduce unnecessary bytes consumed by network activity.
Click here to learn how to optimize this | URL | Size [Bytes] | Potential Savings [Bytes] |
|---|---|---|
| https://www.lmfdb.org/style.css | 39255 | 33856 |
Overall Saving: 120[ms], 33856[Bytes]
Serve images in next-gen formats
Type: Images
Priority: Low
Image formats like JPEG 2000, JPEG XR, and WebP often provide better compression than PNG or JPEG, which means faster downloads and less data consumption.
Click here to learn how to optimize this | URL | Size [Bytes] | Potential Savings [Bytes] |
|---|---|---|
| https://www.lmfdb.org/static/images/smalluniverse.png | 147166 | 97444 |
| https://www.lmfdb.org/static/images/sp_image.png | 55744 | 48358 |
| https://www.lmfdb.org/static/images/families.png | 35408 | 26112 |
| https://www.lmfdb.org/static/images/plot.png | 27829 | 19317 |
| https://www.lmfdb.org/static/images/search2.png | 15597 | 9341 |
Overall Saving: 120[ms], 200572[Bytes]
Minify CSS
Type: CSS
Priority: Low
Minifying CSS files can reduce network payload sizes.
Click here to learn how to optimize this | URL | Size [Bytes] | Potential Savings [Bytes] |
|---|---|---|
| https://www.lmfdb.org/style.css | 39255 | 13185 |
Overall Saving: 40[ms], 13185[Bytes]
First CPU Idle
Type: CSS/JS
Priority: Low
First CPU Idle marks the first time at which the page's main thread is quiet enough to handle input.
Click here to learn how to optimize this Time to Interactive
Type: Content
Priority: Low
Time to interactive is the amount of time it takes for the page to become fully interactive.
Click here to learn how to optimize this Defer offscreen images
Type: Images
Priority: Low
Consider lazy-loading offscreen and hidden images after all critical resources have finished loading to lower time to interactive.
Click here to learn how to optimize this Overall Saving: 0[ms], 0[Bytes]
Avoids enormous network payloads
Type: Content
Priority: Low
Large network payloads cost users real money and are highly correlated with long load times.
Click here to learn how to optimize this | URL | Size |
|---|---|
| https://www.lmfdb.org/static/jquery.dataTables.js | 361606 |
| https://www.lmfdb.org/static/images/smalluniverse.png | 147521 |
| https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.js | 68696 |
| https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js | 62268 |
| https://www.lmfdb.org/static/images/sp_image.png | 56097 |
| https://www.lmfdb.org/style.css | 39255 |
| https://www.lmfdb.org/static/images/families.png | 35761 |
| https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_AMS-Regular.woff2 | 33735 |
| https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-Regular.woff2 | 33255 |
| https://ajax.googleapis.com/ajax/libs/jquery/3.2.1/jquery.min.js | 31053 |
Minimizes main-thread work
Type: CSS/JS
Priority: Low
Consider reducing the time spent parsing, compiling and executing JS. You may find delivering smaller JS payloads helps with this.
Click here to learn how to optimize this | Category | Time Spent |
|---|---|
| Script Evaluation | 128.24 |
| Style & Layout | 64.46 |
| Other | 52.3 |
| Script Parsing & Compilation | 26.65 |
| Parse HTML & CSS | 17.39 |
| Rendering | 9.74 |
Avoids an excessive DOM size
Type: Content
Priority: Low
A large DOM will increase memory usage, cause longer [style calculations](https://developers.google.com/web/fundamentals/performance/rendering/reduce-the-scope-and-complexity-of-style-calculations), and produce costly [layout reflows](https://developers.google.com/speed/articles/reflow).
Click here to learn how to optimize this | Statistic | Element | Value |
|---|---|---|
| Total DOM Elements | --- | 429 |
| Maximum DOM Depth | --- | 29 |
| Maximum Child Elements | --- | 16 |
Preload key requests
Type: JS
Priority: Low
Consider using `` to prioritize fetching resources that are currently requested later in page load.
Click here to learn how to optimize this Overall Saving: 0[ms]
Avoid multiple page redirects
Type: Server
Priority: Low
Redirects introduce additional delays before the page can be loaded.
Click here to learn how to optimize this Overall Saving: 0[ms]
Server response times are low (TTFB)
Type: Server
Priority: Low
Time To First Byte identifies the time at which your server sends a response.
Click here to learn how to optimize this Overall Saving: -488.464[ms]
Efficiently encode images
Type: Images
Priority: Low
Optimized images load faster and consume less cellular data.
Click here to learn how to optimize this Overall Saving: 0[ms], 0[Bytes]
Estimated Input Latency
Type: Server
Priority: Low
Estimated Input Latency is an estimate of how long your app takes to respond to user input, in milliseconds, during the busiest 5s window of page load. If your latency is higher than 50 ms, users may perceive your app as laggy.
Click here to learn how to optimize this JavaScript execution time
Type: JS
Priority: Low
Consider reducing the time spent parsing, compiling, and executing JS. You may find delivering smaller JS payloads helps with this.
Click here to learn how to optimize this | URL | Total CPU Time | Script Evaluation | Script Parse |
|---|---|---|---|
| Other | 146.62 | 3.42 | 0.99 |
Statistics by component
doc
# of requests: 1
Size: 15588 bytes
css
# of requests: 4
Size: 98324 bytes
font
# of requests: 20
Size: 334532 bytes
js
# of requests: 12
Size: 515522 bytes
image
# of requests: 7
Size: 307004 bytes
favicon
# of requests: 1
Size: 4158 bytes
Statistics by component (primed cache)
doc
# of requests: 1
Size: 15588 bytes
css
# of requests: 1
Size: 39058 bytes
js
# of requests: 7
Size: 11554 bytes
image
# of requests: 7
Size: 0 bytes
favicon
# of requests: 1
Size: 4158 bytes
Components found on the page
| Type | Url | Size | Response time | Gzip | Expires |
|---|---|---|---|---|---|
| doc | https://www.lmfdb.org/ | 15588 | 128 | --- | |
| css | https://www.lmfdb.org/style.css | 39058 | 166 | --- | 2020/5/19 |
| css | https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/themes/smoothness/jquery-ui.css | 36536 | 218 | 36536 | 2021/5/19 |
| css | https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css | 22268 | 226 | 22268 | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_AMS-Regular.woff2 | 32944 | 34 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Caligraphic-Bold.woff2 | 10448 | 27 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Caligraphic-Regular.woff2 | 10240 | 32 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Fraktur-Bold.woff2 | 20360 | 35 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Fraktur-Regular.woff2 | 19784 | 33 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-Bold.woff2 | 30244 | 29 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-BoldItalic.woff2 | 21944 | 31 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-Italic.woff2 | 22748 | 34 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-Regular.woff2 | 32464 | 30 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Math-BoldItalic.woff2 | 19720 | 30 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Math-Italic.woff2 | 20096 | 38 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_SansSerif-Bold.woff2 | 15732 | 29 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_SansSerif-Italic.woff2 | 15024 | 32 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_SansSerif-Regular.woff2 | 13708 | 33 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Script-Regular.woff2 | 12064 | 83 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Size1-Regular.woff2 | 5592 | 44 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Size2-Regular.woff2 | 5392 | 29 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Size3-Regular.woff2 | 3728 | 33 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Size4-Regular.woff2 | 5028 | 30 | --- | 2021/5/19 |
| font | https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Typewriter-Regular.woff2 | 17272 | 34 | --- | 2021/5/19 |
| css | https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/copy-tex.css | 462 | 258 | 462 | 2021/5/19 |
| js | https://ssl.google-analytics.com/ga.js | 46274 | 428 | 46274 | 2020/5/19 |
| js | https://ajax.googleapis.com/ajax/libs/jquery/3.2.1/jquery.min.js | 86659 | 160 | 7328 | 2021/5/19 |
| js | https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.js | 253668 | 192 | 42890 | 2021/5/19 |
| js | https://www.lmfdb.org/static/jquery.watermark.min.js | 4629 | 217 | --- | 2020/5/20 |
| js | https://www.lmfdb.org/static/lmfdb.js | 21291 | 217 | --- | 2020/5/20 |
| js | https://www.lmfdb.org/static/showdown.min.js | 9779 | 217 | --- | 2020/5/20 |
| js | https://www.lmfdb.org/static/jquery.dataTables.js | 361238 | 227 | --- | 2020/5/20 |
| js | https://www.lmfdb.org/static/jquery.dataTables.plugins.js | 3869 | 217 | --- | 2020/5/20 |
| js | https://www.google.com/jsapi | 26828 | 297 | 11554 | 2020/5/19 |
| js | https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js | 247649 | 240 | 902 | 2021/5/19 |
| js | https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js | 3453 | 245 | 3453 | 2021/5/19 |
| js | https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/copy-tex.min.js | 2315 | 250 | 2315 | 2021/5/19 |
| image | https://www.lmfdb.org/static/images/lmfdb-logo.png | 9439 | 427 | --- | 2020/5/20 |
| image | https://www.lmfdb.org/static/images/families.png | 35408 | 461 | --- | 2020/5/20 |
| image | https://www.lmfdb.org/static/images/plot.png | 27829 | 460 | --- | 2020/5/20 |
| image | https://www.lmfdb.org/static/images/search2.png | 15597 | 461 | --- | 2020/5/20 |
| image | https://www.lmfdb.org/static/images/sp_image.png | 55744 | 460 | --- | 2020/5/20 |
| image | https://www.lmfdb.org/static/images/smalluniverse.png | 147166 | 482 | --- | 2020/5/20 |
| image | https://www.lmfdb.org/static/images/compute.png | 15821 | 462 | --- | 2020/5/20 |
| favicon | https://www.lmfdb.org/favicon.ico | 4158 | 57 | --- |
Lmfdb.org is Built With These Technologies
Detected Technologies
DataTables
jQuery
jQuery UI
Webserver Info
California, Mountain View, United States Of America, 94043
IP: 35.241.19.59
Location
37.406
Latitude
-122.079
Longitude
Whois
| Created | n/a |
|---|---|
| Changed | n/a |
| Sponsor | n/a |
| Name Server | n/a |
Lmfdb.org SEO Stats and Top Pages
How well your site increases the quality and quantity of search engine results through organic traffic.
37
Domain Authority
42.3m
Unique Domain Links
6,806
Outgong Links
8,701
External Links
5
Spam Score
Top Pages
Ranking the most visited pages on your website.
| # | Link |
|---|---|
| 1 | www.lmfdb.org/ |
| 2 | www.lmfdb.org/EllipticCurve/Q/ |
| 3 | www.lmfdb.org/Character/Dirichlet/ |
| 4 | www.lmfdb.org/intro |
| 5 | www.lmfdb.org/zeros/zeta/ |
| 6 | www.lmfdb.org/L/Riemann/ |
| 7 | www.lmfdb.org/acknowledgment |
| 8 | www.lmfdb.org/universe |
| 9 | www.lmfdb.org/knowledge/show/ec.weierstrass_coeffs |
| 10 | www.lmfdb.org/ModularForm/GL2/Q/holomorphic/ |
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