| 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 |
| 1088.b.2176.1 |
1088.b |
\( 2^{6} \cdot 17 \) |
\( - 2^{7} \cdot 17 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.45.1, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(5.893944\) |
\(0.491162\) |
$[7572,68115,166006308,272]$ |
$[7572,2343556,952909568,430794130940,2176]$ |
$[194465720403941544/17,7948719687495546/17,25108109106912]$ |
$y^2 + (x^3 + x)y = 4x^4 + 24x^2 + 34$ |
| 1088.b.2176.2 |
1088.b |
\( 2^{6} \cdot 17 \) |
\( 2^{7} \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.90.1, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(23.575776\) |
\(0.491162\) |
$[7572,68115,166006308,272]$ |
$[7572,2343556,952909568,430794130940,2176]$ |
$[194465720403941544/17,7948719687495546/17,25108109106912]$ |
$y^2 + (x^3 + x)y = -5x^4 + 24x^2 - 34$ |
| 2176.a.69632.2 |
2176.a |
\( 2^{7} \cdot 17 \) |
\( - 2^{12} \cdot 17 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.45.1, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(4.167648\) |
\(0.694608\) |
$[7572,68115,166006308,272]$ |
$[15144,9374224,7623276544,6892706095040,69632]$ |
$[194465720403941544/17,7948719687495546/17,25108109106912]$ |
$y^2 + xy = x^6 + 9x^4 + 24x^2 + 17$ |
| 2176.a.69632.1 |
2176.a |
\( 2^{7} \cdot 17 \) |
\( 2^{12} \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(16.670591\) |
\(0.694608\) |
$[7572,68115,166006308,272]$ |
$[15144,9374224,7623276544,6892706095040,69632]$ |
$[194465720403941544/17,7948719687495546/17,25108109106912]$ |
$y^2 + xy = x^6 - 9x^4 + 24x^2 - 17$ |
