| 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 |
| 2016.a.4032.1 |
2016.a |
\( 2^{5} \cdot 3^{2} \cdot 7 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(8.388518\) |
\(0.524282\) |
$[320,52,2616,504]$ |
$[320,4232,76608,1651184,4032]$ |
$[52428800000/63,2166784000/63,1945600]$ |
$y^2 + y = -2x^6 - 6x^5 - 10x^4 - 10x^3 - 7x^2 - 3x - 1$ |
| 2016.b.12096.1 |
2016.b |
\( 2^{5} \cdot 3^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 7 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(1.000000\) |
\(9.446906\) |
\(0.590432\) |
$[896,820,243656,1512]$ |
$[896,32904,1584576,84276720,12096]$ |
$[1289027059712/27,5870190592/3,105168896]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^4 + x^2 - 8x - 10$ |
| 2016.c.774144.1 |
2016.c |
\( 2^{5} \cdot 3^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 7 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.180.3 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(1.000000\) |
\(4.743883\) |
\(0.592985\) |
$[0,1008,12060,3024]$ |
$[0,-2688,85760,-1806336,-774144]$ |
$[0,-702464/3,2680/9]$ |
$y^2 = x^5 + x^4 + 2x^3 - x^2 - x - 2$ |
