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
96.1-a5
96.1-a
$6$
$8$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
96.1
\( 2^{5} \cdot 3 \)
\( 2^{6} \cdot 3^{2} \)
$1.37029$
$(-a+2), (a+3)$
$1$
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{2} \)
$1.351603734$
$43.91120043$
1.514359844
\( \frac{7301384}{3} \)
\( \bigl[a\) , \( -1\) , \( a\) , \( -11\) , \( 6\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-11{x}+6$
96.1-b5
96.1-b
$6$
$8$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
96.1
\( 2^{5} \cdot 3 \)
\( 2^{6} \cdot 3^{2} \)
$1.37029$
$(-a+2), (a+3)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$4$
\( 2^{2} \)
$1$
$8.017247373$
1.636513767
\( \frac{7301384}{3} \)
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -162 a - 394\) , \( -1646 a - 4031\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-162a-394\right){x}-1646a-4031$
96.1-c5
96.1-c
$6$
$8$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
96.1
\( 2^{5} \cdot 3 \)
\( 2^{6} \cdot 3^{2} \)
$1.37029$
$(-a+2), (a+3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{2} \)
$2.480678691$
$8.017247373$
2.029832415
\( \frac{7301384}{3} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( -6\) , \( -15\bigr] \)
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-6{x}-15$
96.1-d5
96.1-d
$6$
$8$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
96.1
\( 2^{5} \cdot 3 \)
\( 2^{6} \cdot 3^{2} \)
$1.37029$
$(-a+2), (a+3)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{2} \)
$1$
$43.91120043$
2.240834063
\( \frac{7301384}{3} \)
\( \bigl[a\) , \( a + 1\) , \( a\) , \( -160 a - 395\) , \( 1485 a + 3636\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-160a-395\right){x}+1485a+3636$
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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.