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
131043.2-a1
131043.2-a
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
131043.2
\( 3 \cdot 11^{2} \cdot 19^{2} \)
\( 3^{6} \cdot 11^{2} \cdot 19^{6} \)
$2.94478$
$(-2a+1), (-5a+3), (-5a+2), (11)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$3$
3B.1.1[2]
$1$
\( 2 \cdot 3^{3} \)
$2.100833613$
$0.146556391$
4.266257205
\( -\frac{3004935183806464000}{2037123} \)
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 30063 a\) , \( -2016358\bigr] \)
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+30063a{x}-2016358$
131043.2-a2
131043.2-a
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
131043.2
\( 3 \cdot 11^{2} \cdot 19^{2} \)
\( 3^{18} \cdot 11^{6} \cdot 19^{2} \)
$2.94478$
$(-2a+1), (-5a+3), (-5a+2), (11)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$3$
3B.1.1[2]
$1$
\( 2 \cdot 3^{3} \)
$0.700277871$
$0.439669174$
4.266257205
\( -\frac{5304438784000}{497763387} \)
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 363 a\) , \( -2995\bigr] \)
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+363a{x}-2995$
131043.2-b1
131043.2-b
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
131043.2
\( 3 \cdot 11^{2} \cdot 19^{2} \)
\( 3^{2} \cdot 11^{2} \cdot 19^{2} \)
$2.94478$
$(-2a+1), (-5a+3), (-5a+2), (11)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$1$
\( 2 \)
$0.202737939$
$4.712264881$
4.412595152
\( -\frac{262144}{627} \)
\( \bigl[0\) , \( -a\) , \( 1\) , \( -a + 1\) , \( -2\bigr] \)
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-a+1\right){x}-2$
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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.