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
9.1-b1
9.1-b
$2$
$2$
4.4.17428.1
$4$
$[4, 0]$
9.1
\( 3^{2} \)
\( 3^{3} \)
$15.52539$
$(a^2-a-3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$96.49308126$
0.365462148
\( -14286680089 a^{3} - 7516966892 a^{2} + 74247864474 a + 56166863598 \)
\( \bigl[a^{3} - 4 a\) , \( a^{3} - a^{2} - 3 a + 3\) , \( a^{3} - 4 a - 1\) , \( -5 a^{3} + 16 a^{2} + 18 a - 54\) , \( -32 a^{3} + 62 a^{2} + 150 a - 266\bigr] \)
${y}^2+\left(a^{3}-4a\right){x}{y}+\left(a^{3}-4a-1\right){y}={x}^{3}+\left(a^{3}-a^{2}-3a+3\right){x}^{2}+\left(-5a^{3}+16a^{2}+18a-54\right){x}-32a^{3}+62a^{2}+150a-266$
9.1-e2
9.1-e
$2$
$2$
4.4.17428.1
$4$
$[4, 0]$
9.1
\( 3^{2} \)
\( 3^{9} \)
$15.52539$
$(a^2-a-3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$227.9784583$
0.863455661
\( -14286680089 a^{3} - 7516966892 a^{2} + 74247864474 a + 56166863598 \)
\( \bigl[a^{3} - 4 a\) , \( -a^{3} + a^{2} + 3 a - 3\) , \( 1\) , \( -79 a^{3} - 106 a^{2} + 216 a + 198\) , \( 554 a^{3} + 760 a^{2} - 1529 a - 1406\bigr] \)
${y}^2+\left(a^{3}-4a\right){x}{y}+{y}={x}^{3}+\left(-a^{3}+a^{2}+3a-3\right){x}^{2}+\left(-79a^{3}-106a^{2}+216a+198\right){x}+554a^{3}+760a^{2}-1529a-1406$
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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.