| 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 |
| 9408.2-e2 |
9408.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9408.2 |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{24} \cdot 7^{2} \) |
$1.52431$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.347712966$ |
1.606017398 |
\( \frac{6522128932}{3720087} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -392\) , \( -228\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-392{x}-228$ |
| 37632.2-h2 |
37632.2-h |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
37632.2 |
\( 2^{8} \cdot 3 \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{24} \cdot 7^{2} \) |
$2.15570$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.347712966$ |
2.409026097 |
\( \frac{6522128932}{3720087} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -392\) , \( 228\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-392{x}+228$ |
| 112896.2-l2 |
112896.2-l |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.2 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{30} \cdot 7^{2} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$4.147281140$ |
$0.200752174$ |
3.845502474 |
\( \frac{6522128932}{3720087} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1178 a - 1177\) , \( -2545 a + 1861\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(1178a-1177\right){x}-2545a+1861$ |
| 112896.2-t2 |
112896.2-t |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.2 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{30} \cdot 7^{2} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$4.147281140$ |
$0.200752174$ |
3.845502474 |
\( \frac{6522128932}{3720087} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1178 a - 1177\) , \( 2545 a - 1861\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(1178a-1177\right){x}+2545a-1861$ |
*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.
