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LMFDB#4943 added N=, Delta=, j=
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JohnCremona committed Nov 19, 2024
1 parent 70bb82d commit 61e3117
Showing 1 changed file with 13 additions and 15 deletions.
28 changes: 13 additions & 15 deletions lmfdb/elliptic_curves/templates/ec-curve.html
Original file line number Diff line number Diff line change
Expand Up @@ -154,37 +154,37 @@ <h2> Invariants </h2>

<tr>
<td>{{ KNOWL('ec.q.conductor', title='Conductor') }}:</td>
<td>{{ data.data.cond_latex }}</td>
<td>$N$</td>
<td>&nbsp;=&nbsp;</td>
<td>${{ data.data.cond_factor }}$</td>
<td>{{ data.data.cond_latex }}</td><td>&nbsp;=&nbsp;</td><td>${{ data.data.cond_factor }}$</td>
<td>{{ place_code('cond') }} </td>
</tr>

<tr>
<td>{{ KNOWL('ec.discriminant', title='Discriminant') }}:</td>
<td>${{ data.data.disc }} $</td>
<td>$\Delta$</td>
<td>&nbsp;=&nbsp;</td>
<td>${{ data.data.disc_factor }} $</td>
<td>${{ data.data.disc }}$</td><td>&nbsp;=&nbsp;</td><td>${{ data.data.disc_factor }} $</td>
<td>{{ place_code('disc') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.j_invariant', title='j-invariant') }}:</td>
<td>{{ data.data.j_inv_latex }}</td>
<td>$j$</td>
<td>&nbsp;=&nbsp;</td>
<td>${{ data.data.j_inv_factor }}$</td>
<td>{{ data.data.j_inv_latex }}</td><td>&nbsp;=&nbsp;</td><td>${{ data.data.j_inv_factor }}$</td>
<td>{{ place_code('jinv') }}
</tr>

<tr>
<td>{{ KNOWL('ec.endomorphism_ring', title='Endomorphism ring') }}:</td>
<td>$\mathrm{End}(E)$</td><td>&nbsp;=&nbsp;</td><td>$\Z$</td>
<td>$\mathrm{End}(E)$</td><td>&nbsp;=&nbsp;</td><td colspan=3>$\Z$</td>
</tr>

<tr>
<td>{{ KNOWL('ec.geom_endomorphism_ring', title='Geometric endomorphism ring') }}:</td>
<td>$\mathrm{End}(E_{\overline{\Q}})$</td><td>&nbsp;=&nbsp;</td>
<td>{{ data.data.EndE }}
<td colspan=3>{{ data.data.EndE }}
{%if not data.data.CMD %}
&nbsp;&nbsp;(no {{ KNOWL('ec.complex_multiplication', title='potential complex multiplication')}})
{% else %}
Expand All @@ -196,32 +196,30 @@ <h2> Invariants </h2>

<tr>
<td>{{ KNOWL('st_group.definition', title='Sato-Tate group') }}:</td>
<td>$\mathrm{ST}(E)$</td><td>&nbsp;=&nbsp;</td><td>{{ data.data.ST|safe }}</td>
<td>$\mathrm{ST}(E)$</td><td>&nbsp;=&nbsp;</td><td colspan=3>{{ data.data.ST|safe }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.q.faltings_height', title='Faltings height') }}:</td>
<td>$h_{\mathrm{Faltings}}$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.faltings_height }}$</td>
<td>$h_{\mathrm{Faltings}}$</td><td>&nbsp;&approx;&nbsp;</td><td colspan=3>${{ data.faltings_height }}$</td>
<td>{{ place_code('faltings') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.q.faltings_height', title='Stable Faltings height') }}:</td>
<td>$h_{\mathrm{stable}}$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.stable_faltings_height }}$</td>
<td>$h_{\mathrm{stable}}$</td><td>&nbsp;&approx;&nbsp;</td><td colspan=3>${{ data.stable_faltings_height }}$</td>
<td>{{ place_code('stable_faltings') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.q.abc_quality', title='$abc$ quality') }}:</td>
<td>$Q$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.abc_quality }}$</td>
<td></td>
<td>$Q$</td><td>&nbsp;&approx;&nbsp;</td><td colspan=3>${{ data.abc_quality }}$</td>
<td>{{ place_code('abc_quality') }}</td>
</tr>

<tr>
<td>{{ KNOWL('ec.q.szpiro_ratio', title='Szpiro ratio') }}:</td>
<td>$\sigma_{m}$</td><td>&nbsp;&approx;&nbsp;</td><td>${{ data.szpiro_ratio }}$</td>
<td></td>
<td>$\sigma_{m}$</td><td>&nbsp;&approx;&nbsp;</td><td colspan=3>${{ data.szpiro_ratio }}$</td>
<td>{{ place_code('szpiro_ratio') }}</td>
</tr>

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