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
8.1-a1
8.1-a
$1$
$1$
\(\Q(\sqrt{46}) \)
$2$
$[2, 0]$
8.1
\( 2^{3} \)
\( 2^{8} \)
$2.03854$
$(-23a+156)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$0.809972776$
$17.55912210$
4.193960162
\( 256 \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1196 a + 8112\) , \( -140998 a + 956295\bigr] \)
${y}^2={x}^{3}+{x}^{2}+\left(-1196a+8112\right){x}-140998a+956295$
8.1-b1
8.1-b
$1$
$1$
\(\Q(\sqrt{46}) \)
$2$
$[2, 0]$
8.1
\( 2^{3} \)
\( 2^{8} \)
$2.03854$
$(-23a+156)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$0.809972776$
$17.55912210$
4.193960162
\( 256 \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( 1196 a + 8112\) , \( 140998 a + 956295\bigr] \)
${y}^2={x}^{3}+{x}^{2}+\left(1196a+8112\right){x}+140998a+956295$
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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.