Skip to content

Commit

Permalink
fixes for issue LMFDB#4943
Browse files Browse the repository at this point in the history
  • Loading branch information
@JohnCremona
JohnCremona committed Nov 18, 2024
1 parent cf61e53 commit 06ecfe6
Showing 1 changed file with 24 additions and 31 deletions.
55 changes: 24 additions & 31 deletions lmfdb/elliptic_curves/templates/ec-curve.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -178,20 +178,20 @@ <h2> Invariants </h2>

<tr>
<td>{{ KNOWL('ec.endomorphism_ring', title='Endomorphism ring') }}:</td>
<td>$\Z$</td>
<td>$\mathrm{End}(E)$</td><td>&nbsp;=&nbsp;</td><td>$\Z$</td>
</tr>

<tr>
<td>{{ KNOWL('ec.geom_endomorphism_ring', title='Geometric endomorphism ring') }}:</td>
<td>{{ data.data.EndE }}</td>
<td colspan="2">
<td>$\mathrm{End}(E_{\overline{\Q}})$</td><td>&nbsp;=&nbsp;</td>
<td>{{ data.data.EndE }}
{%if not data.data.CMD %}
(no {{ KNOWL('ec.complex_multiplication', title='potential complex multiplication')}})
&nbsp;&nbsp;(no {{ KNOWL('ec.complex_multiplication', title='potential complex multiplication')}})
{% else %}
({{ KNOWL('ec.complex_multiplication', title='potential complex multiplication')}})
&nbsp;&nbsp;({{ KNOWL('ec.complex_multiplication', title='potential complex multiplication')}})
{% endif %}
</td>
<td>{{ place_code('cm') }}
<td>{{ place_code('cm') }}</td>
</tr>

<tr>
Expand All @@ -201,29 +201,27 @@ <h2> Invariants </h2>

<tr>
<td>{{ KNOWL('ec.q.faltings_height', title='Faltings height') }}:</td>
<td>${{ data.faltings_height }}\dots$</td>
<td></td><td></td>
<td>$h_{\mathrm{Faltings}}$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.faltings_height }}$</td>
<td>{{ place_code('faltings') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.q.faltings_height', title='Stable Faltings height') }}:</td>
<td>${{ data.stable_faltings_height }}\dots$</td>
<td></td><td></td>
<td>$h_{\mathrm{stable}}$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.stable_faltings_height }}$</td>
<td>{{ place_code('stable_faltings') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.q.abc_quality', title='$abc$ quality') }}:</td>
<td>${{ data.abc_quality }}\dots$</td>
<td></td><td></td>
<td>$Q$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.abc_quality }}$</td>
<td></td>
<td>{{ place_code('abc_quality') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.q.szpiro_ratio', title='Szpiro ratio') }}:</td>
<td>${{ data.szpiro_ratio }}\dots$</td>
<td></td><td></td>
<td>$\sigma_{m}$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.szpiro_ratio }}$</td>
<td></td>
<td>{{ place_code('szpiro_ratio') }}</td>
</tr>

Expand All @@ -234,7 +232,7 @@ <h2> {{ KNOWL('ec.q.bsdconjecture', title='BSD invariants') }}</h2>
<tbody>
<tr>
<td>{{ KNOWL('ec.q.analytic_rank', title='Analytic rank') }}:</td>
<td> ${{ data.analytic_rank }}$
<td>$r_{\mathrm{an}}$</td><td>&nbsp;=&nbsp;</td><td>$ {{ data.analytic_rank }}$
</td>
<td>{{ place_code('analytic_rank') }}</td>
</tr>
Expand All @@ -245,23 +243,23 @@ <h2> {{ KNOWL('ec.q.bsdconjecture', title='BSD invariants') }}</h2>
<td>Not computed</td>
{% else %}
{% if data.rank==0 %}
<td> $1$</td>
<td> $\mathrm{Reg}(E/\Q)$</td><td>&nbsp;=&nbsp;</td><td>$1$</td>
{% else %}
<td> ${{ data.mwbsd.reg }}\dots$</td>
<td> $\mathrm{Reg}(E/\Q)$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.mwbsd.reg }}$</td>
{% endif %}
{% endif %}
<td>{{ place_code('reg') }}
</tr>

<tr>
<td>{{ KNOWL('ec.q.real_period', title='Real period') }}:</td>
<td> ${{ data.mwbsd.real_period }}\dots$</td>
<td> $\Omega$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.mwbsd.real_period }}$</td>
<td>{{ place_code('real_period') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.tamagawa_number', title='Tamagawa product') }}:</td>
<td>$ {{ data.mwbsd.tamagawa_product }} $
<td>$\prod_{p}c_p$</td><td>&nbsp;=&nbsp;</td><td>$ {{ data.mwbsd.tamagawa_product }} $
{% if data.mwbsd.tamagawa_factors %}
&nbsp;=&nbsp;$ {{ data.mwbsd.tamagawa_factors }} $
{% endif %}
Expand All @@ -271,24 +269,19 @@ <h2> {{ KNOWL('ec.q.bsdconjecture', title='BSD invariants') }}</h2>

<tr>
<td>{{ KNOWL('ec.torsion_order', title='Torsion order') }}:</td>
<td>${{ data.mwbsd.torsion }}$</td>
<td>$E(\Q)_{\mathrm{tors}}$</td><td>&nbsp;=&nbsp;</td><td>${{ data.mwbsd.torsion }}$</td>
<td>{{ place_code('ntors') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.analytic_sha_order', title='Analytic order of &#1064;') }}:</td>
<td>
{% if data.mwbsd.sha == '?' %}
Not computed
{% else %}
${{data.mwbsd.sha }}$
{% if data.mwbsd.sha > 1 %}
= {{data.mwbsd.sha2}}
{% endif %}
<td>{% if data.mwbsd.sha == '?' %}Not computed{% else %} &#1064;${}_{\mathrm{an}}$</td>
<td>{% if data.mwbsd.sha_is_exact %}&nbsp;=&nbsp;{% else %}&nbsp;&approx;&nbsp;{% endif %}</td>
<td>${{data.mwbsd.sha }}$ {% if data.mwbsd.sha > 1 %} = {{data.mwbsd.sha2}} {% endif %}&nbsp;&nbsp;
{% if data.mwbsd.sha_is_exact %}
({{ KNOWL('ec.analytic_sha_value',title="exact") }})
({{ KNOWL('ec.q.analytic_sha_value',title="exact") }})
{% else %}
({{ KNOWL('ec.analytic_sha_value',title="rounded") }})
({{ KNOWL('ec.q.analytic_sha_value',title="rounded") }})
{% endif %}
{% endif %}
</td>
Expand All @@ -302,7 +295,7 @@ <h2> {{ KNOWL('ec.q.bsdconjecture', title='BSD invariants') }}</h2>
{% endif %}
<tr>
<td>{{KNOWL('ec.q.special_value', title='Special value', special_value = data.special_value)}}:</td>
<td>$ {{ data.mwbsd.lder_name }} $ &approx; $ {{ data.mwbsd.special_value }} $</td>
<td>$ {{ data.mwbsd.lder_name }}$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.mwbsd.special_value }} $</td>
<td>{{ place_code('L1') }}</td>
</tr>
</tbody>
Expand Down

0 comments on commit 06ecfe6

Please sign in to comment.