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
\( -7683 a^{2} + 341001 a + 653048 \)
\( \bigl[a^{2} + a - 2\) , \( a^{2} - 3\) , \( a^{2} + a - 2\) , \( 2488 a^{2} - 1312 a - 10563\) , \( 96592 a^{2} - 51120 a - 410419\bigr] \)
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}+a-2\right){y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(2488a^{2}-1312a-10563\right){x}+96592a^{2}-51120a-410419$
32.2-a2
32.2-a
$2$
$2$
3.3.316.1
$3$
$[3, 0]$
32.2
\( 2^{5} \)
\( - 2^{18} \)
$2.83035$
$(a), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$43.69872131$
1.229122565
\( 24 a^{2} - 198 a - 262 \)
\( \bigl[a^{2} + a - 2\) , \( -a^{2} + a + 4\) , \( a^{2} + a - 2\) , \( 9 a^{2} - 2 a - 33\) , \( 68 a^{2} - 31 a - 280\bigr] \)
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}+a-2\right){y}={x}^{3}+\left(-a^{2}+a+4\right){x}^{2}+\left(9a^{2}-2a-33\right){x}+68a^{2}-31a-280$
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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.