| Label |
Class |
Conductor |
Discriminant |
Rank* |
2-Selmer rank |
Torsion |
$\textrm{End}^0(J_{\overline\Q})$ |
$\textrm{End}^0(J)$ |
$\GL_2\textsf{-type}$ |
Sato-Tate |
Nonmaximal primes |
$\Q$-simple |
\(\overline{\Q}\)-simple |
\(\Aut(X)\) |
\(\Aut(X_{\overline{\Q}})\) |
$\Q$-points |
$\Q$-Weierstrass points |
mod-$\ell$ images |
Locally solvable |
Square Ш* |
Analytic Ш* |
Tamagawa |
Regulator |
Real period |
Leading coefficient |
Igusa-Clebsch invariants |
Igusa invariants |
G2-invariants |
Equation |
| 100277.a.100277.1 |
100277.a |
\( 149 \cdot 673 \) |
\( 149 \cdot 673 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$8$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.067136\) |
\(18.915020\) |
\(1.269881\) |
$[452,20449,572017,12835456]$ |
$[113,-320,22140,599855,100277]$ |
$[18424351793/100277,-461727040/100277,282705660/100277]$ |
$y^2 + (x^3 + x^2 + 1)y = 2x^4 + 3x^3 - x^2 - x$ |
| 100277.b.100277.1 |
100277.b |
\( 149 \cdot 673 \) |
\( 149 \cdot 673 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(5.063459\) |
\(5.063459\) |
$[24088,9051808,81756374264,401108]$ |
$[12044,4535446,7341036,-5120463745333,100277]$ |
$[253427496970010676224/100277,7923776934359848064/100277,1064875530261696/100277]$ |
$y^2 + y = x^5 + x^4 - 19x^3 - 11x^2 + 92x + 13$ |
| 100277.c.100277.1 |
100277.c |
\( 149 \cdot 673 \) |
\( 149 \cdot 673 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$5$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.169546\) |
\(14.812084\) |
\(2.511336\) |
$[704,5824,1359616,401108]$ |
$[352,4192,44800,-450816,100277]$ |
$[5403974828032/100277,182830759936/100277,5550899200/100277]$ |
$y^2 + y = x^5 - 4x^4 + 4x^2 - 2x$ |
