| 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 |
| 6928.a.27712.1 |
6928.a |
\( 2^{4} \cdot 433 \) |
\( - 2^{6} \cdot 433 \) |
$1$ |
$2$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$8$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.133686\) |
\(17.643759\) |
\(0.589683\) |
$[8,-3080,146932,110848]$ |
$[4,514,-16896,-82945,27712]$ |
$[16/433,514/433,-4224/433]$ |
$y^2 + (x^3 + x)y = x^5 - x^4 - 2x^3 - x^2 + x + 1$ |
| 6928.b.110848.1 |
6928.b |
\( 2^{4} \cdot 433 \) |
\( - 2^{8} \cdot 433 \) |
$0$ |
$0$ |
$\Z/5\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(7.192002\) |
\(1.438400\) |
$[2820,4701,4336437,13856]$ |
$[2820,328216,50511856,8679422816,110848]$ |
$[696635458762500/433,28751936991750/433,1569103451775/433]$ |
$y^2 + xy = x^6 - 2x^5 + 6x^4 - 7x^3 + 10x^2 - 6x + 5$ |
| 6928.c.443392.1 |
6928.c |
\( 2^{4} \cdot 433 \) |
\( - 2^{10} \cdot 433 \) |
$0$ |
$0$ |
$\Z/13\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,13$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 13 \) |
\(1.000000\) |
\(16.670347\) |
\(1.282334\) |
$[804,10701,3153213,55424]$ |
$[804,19800,-6544,-99325344,443392]$ |
$[328080401001/433,20098487475/866,-16524009/1732]$ |
$y^2 + (x + 1)y = x^6 - 4x^5 + 3x^4 + x^3 + 2x^2 + x$ |
