| 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 |
| 8452.a.16904.1 |
8452.a |
\( 2^{2} \cdot 2113 \) |
\( 2^{3} \cdot 2113 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.006277\) |
\(23.655401\) |
\(0.445472\) |
$[900,20193,5380497,2163712]$ |
$[225,1268,4224,-164356,16904]$ |
$[576650390625/16904,3610828125/4226,26730000/2113]$ |
$y^2 + (x^3 + x + 1)y = x^5 - 2x^4 - 3x^3 + x^2 + x$ |
| 8452.b.16904.1 |
8452.b |
\( 2^{2} \cdot 2113 \) |
\( 2^{3} \cdot 2113 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$6$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.011089\) |
\(19.600598\) |
\(0.652067\) |
$[10724,47809,168584513,2163712]$ |
$[2681,297498,43749444,7196799840,16904]$ |
$[138510937865757401/16904,2866450831711509/8452,78615136838721/4226]$ |
$y^2 + (x^3 + x^2 + 1)y = -3x^4 - 4x^3 + 10x^2 + 5x - 12$ |
| 8452.c.270464.1 |
8452.c |
\( 2^{2} \cdot 2113 \) |
\( - 2^{7} \cdot 2113 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$6$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 11 \) |
\(0.008031\) |
\(8.961183\) |
\(0.791681\) |
$[2444,17353,12477563,34619392]$ |
$[611,14832,477424,17929460,270464]$ |
$[85154195684051/270464,211447894437/16904,11139525319/16904]$ |
$y^2 + (x^3 + x^2 + x)y = x^4 + x^3 + 4x^2 + 2x + 4$ |
