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
99372.5-h5
99372.5-h
$6$
$8$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99372.5
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)
\( 2^{16} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \)
$2.74799$
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (4a-3), (2)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{4} \cdot 3 \)
$0.615546328$
$1.252332353$
5.340734201
\( \frac{19968681097}{628992} \)
\( \bigl[a\) , \( 0\) , \( 1\) , \( 56 a\) , \( -164\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+56a{x}-164$
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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.