| 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 |
| 830.a.6640.1 |
830.a |
\( 2 \cdot 5 \cdot 83 \) |
\( - 2^{4} \cdot 5 \cdot 83 \) |
$0$ |
$1$ |
$\Z/16\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$5$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(23.474917\) |
\(0.366796\) |
$[652,4273,1339719,849920]$ |
$[163,929,-521,-236991,6640]$ |
$[\frac{115063617043}{6640},\frac{4023263963}{6640},-\frac{13842449}{6640}]$ |
$y^2 + (x^3 + 1)y = -x^5 + x^4 - 2x^2 + x + 1$ |
| 1524.a.780288.1 |
1524.a |
\( 2^{2} \cdot 3 \cdot 127 \) |
\( - 2^{11} \cdot 3 \cdot 127 \) |
$0$ |
$1$ |
$\Z/16\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.15.1 |
✓ |
✓ |
$1$ |
\( 2^{4} \) |
\(1.000000\) |
\(8.089671\) |
\(0.505604\) |
$[2892,50505,46694139,99876864]$ |
$[723,19676,648944,20510384,780288]$ |
$[\frac{65852191393281}{260096},\frac{619684252191}{65024},\frac{7067121837}{16256}]$ |
$y^2 + (x^3 + x^2 + x)y = 2x^4 + 4x^3 + 8x^2 + 6x + 4$ |
| 1624.a.831488.1 |
1624.a |
\( 2^{3} \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 7 \cdot 29 \) |
$0$ |
$1$ |
$\Z/16\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$5$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{4} \) |
\(1.000000\) |
\(10.032196\) |
\(0.627012\) |
$[28,2269,13167,-103936]$ |
$[28,-1480,112,-546816,-831488]$ |
$[-\frac{2401}{116},\frac{9065}{232},-\frac{49}{464}]$ |
$y^2 + (x^3 + x)y = x^5 + 2x^3 + 2x^2 + x + 1$ |
