| 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 |
| 114240.a.114240.1 |
114240.a |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
$1$ |
$5$ |
$\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.5, 3.90.1 |
|
|
$32$ |
\( 1 \) |
\(5.366838\) |
\(0.350941\) |
\(3.766882\) |
$[1256652,52204481283,17891676439496172,14280]$ |
$[1256652,30995939524,838652756430720,23286599174677950716,114240]$ |
$[16322019979578992366124730896/595,320367650677941067851565476/595,11592952003636922822112]$ |
$y^2 + (x^2 + 1)y = -51x^6 - 315x^4 - 104x^2 - 9$ |
| 177660.a.355320.1 |
177660.a |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 47 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 47 \) |
$0$ |
$4$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
|
|
$32$ |
\( 3 \) |
\(1.000000\) |
\(1.506646\) |
\(4.017722\) |
$[559644,461003553,82699923517551,45480960]$ |
$[139911,796420182,5937657235020,49114613777992524,355320]$ |
$[1985617259781851480912613/13160,40392811153642517443623/6580,654228089723507037/2]$ |
$y^2 + (x^2 + x)y = -18x^6 + 38x^5 - 72x^4 + 73x^3 - 72x^2 + 38x - 18$ |
| 723520.b.723520.1 |
723520.b |
\( 2^{6} \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{6} \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$32$ |
\( 1 \) |
\(1.000000\) |
\(0.519721\) |
\(4.157769\) |
$[2511060,7246265619,5859656464817220,90440]$ |
$[2511060,257895086404,34812153511640960,5226382651403630841596,723520]$ |
$[311986262674663376375229930000/2261,12760402085709289030358057700/2261,303385296722814907192800]$ |
$y^2 + (x^3 + x)y = -9x^6 - 107x^4 - 339x^2 - 323$ |
