Label
Class
Class size
Class degree
Base field
Field degree
Field signature
Conductor
Conductor norm
Discriminant norm
Root analytic conductor
Bad primes
Rank
Torsion
CM
CM
Sato-Tate
$\Q$-curve
Base change
Semistable
Potentially good
Nonmax $\ell$
mod-$\ell$ images
$Ш_{\textrm{an}}$
Tamagawa
Regulator
Period
Leading coeff
j-invariant
Weierstrass coefficients
Weierstrass equation
23104.4-a1
23104.4-a
$1$
$1$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
23104.4
\( 2^{6} \cdot 19^{2} \)
\( 2^{16} \cdot 19^{2} \)
$2.91480$
$(a), (-a+1), (19)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2^{4} \)
$0.035079726$
$3.397222379$
5.765555048
\( -\frac{1024}{19} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1\) , \( 3\bigr] \)
${y}^2={x}^{3}+{x}^{2}-{x}+3$
23104.4-b1
23104.4-b
$1$
$1$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
23104.4
\( 2^{6} \cdot 19^{2} \)
\( 2^{22} \cdot 19^{2} \)
$2.91480$
$(a), (-a+1), (19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 1 \)
$1$
$2.303331491$
1.741154947
\( -\frac{31250}{19} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -8\) , \( -16\bigr] \)
${y}^2={x}^{3}+{x}^{2}-8{x}-16$
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*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.