| 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 |
| 10080.a.60480.1 |
10080.a |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.180.7, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(0.556034\) |
\(0.834051\) |
$[161296,406586887,19127473723714,7560]$ |
$[161296,812958726,4856153621760,30594066098964471,60480]$ |
$[1705838896690345318825984/945,17767980154611986862208/315,6266846885932235776/3]$ |
$y^2 + xy = -15x^6 + 58x^4 - 60x^2 + 7$ |
| 10080.b.60480.1 |
10080.b |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$0$ |
$3$ |
$\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.5, 3.90.1 |
|
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(0.944615\) |
\(0.472308\) |
$[161296,406586887,19127473723714,7560]$ |
$[161296,812958726,4856153621760,30594066098964471,60480]$ |
$[1705838896690345318825984/945,17767980154611986862208/315,6266846885932235776/3]$ |
$y^2 + xy = -15x^6 - 58x^4 - 60x^2 - 7$ |
| 10080.c.141120.1 |
10080.c |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$2$ |
2.180.3, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2^{2} \) |
\(1.000000\) |
\(5.655296\) |
\(1.413824\) |
$[3388552,174712,197326050612,564480]$ |
$[1694276,119607102722,11258185829425920,1192153758196342556159,141120]$ |
$[218142768611210403574323981584/2205,9089279812657801356650662498/2205,229006686528379459553216]$ |
$y^2 + (x^3 + x)y = -x^6 + 35x^4 - 560x^2 + 2940$ |
| 10080.d.241920.1 |
10080.d |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$1$ |
$3$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.180.3, 3.90.1 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.532647\) |
\(12.085488\) |
\(0.804662\) |
$[182588,82357,5005132713,30240]$ |
$[182588,1389044168,14089048001280,160761848950725104,241920]$ |
$[113246073358644668236004/135,4718399886030325759138/135,1941575745370456496]$ |
$y^2 + (x^3 + x)y = 2x^6 - 25x^4 + 88x^2 - 105$ |
