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
32.2-a1
32.2-a
$2$
$2$
3.3.316.1
$3$
$[3, 0]$
32.2
\( 2^{5} \)
\( 2^{15} \)
$2.83035$
$(a), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 1 \)
$1$
$87.39744262$
1.229122565
\( -7683 a^{2} + 341001 a + 653048 \)
\( \bigl[a^{2} + a - 2\) , \( a^{2} - 3\) , \( a^{2} + a - 2\) , \( 2488 a^{2} - 1312 a - 10563\) , \( 96592 a^{2} - 51120 a - 410419\bigr] \)
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}+a-2\right){y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(2488a^{2}-1312a-10563\right){x}+96592a^{2}-51120a-410419$
64.1-b1
64.1-b
$2$
$2$
3.3.316.1
$3$
$[3, 0]$
64.1
\( 2^{6} \)
\( 2^{15} \)
$3.17696$
$(a), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{2} \cdot 3 \)
$0.015793382$
$272.7740081$
2.181107688
\( -7683 a^{2} + 341001 a + 653048 \)
\( \bigl[a^{2} + a - 2\) , \( a^{2} - 4\) , \( a^{2} + a - 2\) , \( 5 a^{2} - 8 a - 31\) , \( -30 a^{2} + 14 a + 124\bigr] \)
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}+a-2\right){y}={x}^{3}+\left(a^{2}-4\right){x}^{2}+\left(5a^{2}-8a-31\right){x}-30a^{2}+14a+124$
128.5-d1
128.5-d
$2$
$2$
3.3.316.1
$3$
$[3, 0]$
128.5
\( 2^{7} \)
\( 2^{15} \)
$3.56602$
$(a), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 1 \)
$1$
$121.0507435$
1.702409086
\( -7683 a^{2} + 341001 a + 653048 \)
\( \bigl[a^{2} + a - 2\) , \( 1\) , \( 0\) , \( 2489 a^{2} - 1311 a - 10564\) , \( -97350 a^{2} + 51534 a + 413663\bigr] \)
${y}^2+\left(a^{2}+a-2\right){x}{y}={x}^{3}+{x}^{2}+\left(2489a^{2}-1311a-10564\right){x}-97350a^{2}+51534a+413663$
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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.