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Add Statistics page for elliptic curves
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,193 @@ | ||
| {% extends 'homepage.html' %} | ||
| {% block content %} | ||
|
|
||
| <div> | ||
| The database currently contains the Cremona database of all | ||
| {{info.ncurves}} elliptic curves in {{info.nclasses}} isogeny classes, | ||
| with {{ KNOWL('ec.q.conductor',title = "conductor")}} at most | ||
| {{info.max_N}}, all of which have {{ KNOWL('ec.q.rank', | ||
| title="rank")}} ≤ {{info.max_rank}}. | ||
| </div> | ||
|
|
||
| <h2> Distribution of rank </h2> | ||
| <div> | ||
| <table border=1> | ||
| <tr> | ||
| <th>Rank</th> | ||
| {%for rc in info.rank_counts %} | ||
| <td>{{rc.r}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>number of curves</th> | ||
| {%for rc in info.rank_counts %} | ||
| <td>{{rc.ncurves}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>number of isogeny classes</th> | ||
| {%for rc in info.rank_counts %} | ||
| <td>{{rc.nclasses}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>proportion</th> | ||
| {%for rc in info.rank_counts %} | ||
| <td>{{rc.prop}}%</td> | ||
| {% endfor %} | ||
| </tr> | ||
| </table> | ||
| </div> | ||
|
|
||
| <h2> Distribution of torsion </h2> | ||
| <div> | ||
| <table border=1> | ||
| <tbody> | ||
| <tr> | ||
| <th>Torsion structure</th> | ||
| {%for tc in info.tor_counts[:11] %} | ||
| <td>{{tc.gp}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>Torsion order</th> | ||
| {%for tc in info.tor_counts[:11] %} | ||
| <td>{{tc.t}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>number of curves</th> | ||
| {%for tc in info.tor_counts[:11] %} | ||
| <td>{{tc.ncurves}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>proportion</th> | ||
| {%for tc in info.tor_counts[:11] %} | ||
| <td>{{tc.prop}}%</td> | ||
| {% endfor %} | ||
| </tr> | ||
| </tbody> | ||
| <tr> | ||
| <td style="border-left:none; border-right:none; border-top:none; border-bottom:none;"> </td> | ||
| </tr> | ||
| <tbody> | ||
| <tr> | ||
| <th>Torsion structure</th> | ||
| <td colspan=3 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[11:12] %} | ||
| <td>{{tc.gp}}</td> | ||
| {% endfor %} | ||
| <td colspan=3 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[12:13] %} | ||
| <td>{{tc.gp}}</td> | ||
| {% endfor %} | ||
| <td colspan=2 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[13:] %} | ||
| <td>{{tc.gp}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>Torsion order</th> | ||
| <td colspan=3 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[11:12] %} | ||
| <td>{{tc.t}}</td> | ||
| {% endfor %} | ||
| <td colspan=3 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[12:13] %} | ||
| <td>{{tc.t}}</td> | ||
| {% endfor %} | ||
| <td colspan=2 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[13:] %} | ||
| <td>{{tc.t}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>number of curves</th> | ||
| <td colspan=3 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[11:12] %} | ||
| <td>{{tc.ncurves}}</td> | ||
| {% endfor %} | ||
| <td colspan=3 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[12:13] %} | ||
| <td>{{tc.ncurves}}</td> | ||
| {% endfor %} | ||
| <td colspan=2 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[13:] %} | ||
| <td>{{tc.ncurves}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>proportion</th> | ||
| <td colspan=3 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[11:12] %} | ||
| <td>{{tc.prop}}%</td> | ||
| {% endfor %} | ||
| <td colspan=3 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[12:13] %} | ||
| <td>{{tc.prop}}%</td> | ||
| {% endfor %} | ||
| <td colspan=2 style="border-bottom:none; border-top:none;"> </td> | ||
| {%for tc in info.tor_counts[13:] %} | ||
| <td>{{tc.prop}}%</td> | ||
| {% endfor %} | ||
| </tr> | ||
| </tbody> | ||
| </table> | ||
| </div> | ||
|
|
||
| <h2> Distribution of {{KNOWL('ec.q.analytic_sha_order', | ||
| title='Ш\(_{an} \)') }} </h2> | ||
| <div> | ||
| <table border=1> | ||
| <tr> | ||
| <th>Ш\(_{an} \)</th> | ||
| {%for sc in info.sha_counts[:12] %} | ||
| <td>\({{sc.s}}^2\)</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>number of curves</th> | ||
| {%for sc in info.sha_counts[:12] %} | ||
| <td>{{sc.ncurves}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <td style="border-left:none; border-right:none;" colspan=13> </td> | ||
| </tr> | ||
| <tr> | ||
| <th>Ш\(_{an} \)</th> | ||
| {%for sc in info.sha_counts[12:24] %} | ||
| <td>\({{sc.s}}^2\)</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>number of curves</th> | ||
| {%for sc in info.sha_counts[12:24] %} | ||
| <td>{{sc.ncurves}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <td style="border-left:none; border-right:none;" colspan=10> </td> | ||
| <td style="border-left:none; border-right:none; border-bottom:none;" colspan=3> </td> | ||
| </tr> | ||
| <tr> | ||
| <th>Ш\(_{an} \)</th> | ||
| {%for sc in info.sha_counts[24:] %} | ||
| <td>\({{sc.s}}^2\)</td> | ||
| {% endfor %} | ||
| </tr> | ||
| <tr> | ||
| <th>number of curves</th> | ||
| {%for sc in info.sha_counts[24:] %} | ||
| <td>{{sc.ncurves}}</td> | ||
| {% endfor %} | ||
| </tr> | ||
| </table> | ||
| </div> | ||
|
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||
| <p> | ||
| </p> | ||
|
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||
| {% endblock %} | ||
| </html> |