| 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 |
| 65814.a.394884.1 |
65814.a |
\( 2 \cdot 3 \cdot 7 \cdot 1567 \) |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 1567 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$22$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.011922\) |
\(16.312533\) |
\(0.777941\) |
$[1900,55033,39721043,-50545152]$ |
$[475,7108,-1044,-12754891,-394884]$ |
$[-24180654296875/394884,-190444421875/98721,6543125/10969]$ |
$y^2 + (x^3 + 1)y = x^5 + x^4 - x^2 - 3x + 2$ |
| 70450.c.704500.1 |
70450.c |
\( 2 \cdot 5^{2} \cdot 1409 \) |
\( - 2^{2} \cdot 5^{3} \cdot 1409 \) |
$3$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$22$ |
$0$ |
2.15.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.046458\) |
\(16.521294\) |
\(0.767540\) |
$[1012,58105,13468045,-90176000]$ |
$[253,246,20576,1286303,-704500]$ |
$[-1036579476493/704500,-1991896071/352250,-329262296/176125]$ |
$y^2 + (x^3 + 1)y = -2x^4 + x^3 + 4x^2 - 3x$ |
| 93162.a.558972.1 |
93162.a |
\( 2 \cdot 3 \cdot 15527 \) |
\( - 2^{2} \cdot 3^{2} \cdot 15527 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$22$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.014248\) |
\(16.004244\) |
\(0.912114\) |
$[460,39913,11017259,71548416]$ |
$[115,-1112,-96372,-3079831,558972]$ |
$[20113571875/558972,-422803250/139743,-35403325/15527]$ |
$y^2 + (x^3 + 1)y = -2x^4 + x^3 + 2x^2 - 3x + 2$ |
