| 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 |
| 5280.a.633600.1 |
5280.a |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$10$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2^{4} \) |
\(0.008232\) |
\(16.181823\) |
\(0.532826\) |
$[1304,57976,30026254,79200]$ |
$[1304,32200,-7557136,-2722836336,633600]$ |
$[14728142981504/2475,11156004272/99,-50196386596/2475]$ |
$y^2 + (x^2 + 1)y = x^5 + 12x^4 + 5x^3 + 4x^2 + 2x$ |
| 5280.b.675840.1 |
5280.b |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 11 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.180.3 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(15.484726\) |
\(0.967795\) |
$[992,13792,4108572,2640]$ |
$[1984,127232,9130240,481603584,675840]$ |
$[7504960159744/165,242583584768/165,1754832128/33]$ |
$y^2 = 4x^5 + 9x^4 - 8x^2 - x + 2$ |
| 5280.c.84480.1 |
5280.c |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 11 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(9.640036\) |
\(1.205005\) |
$[1014360,22497,7606321185,10560]$ |
$[1014360,42871910402,2415973367470080,153166510877458636799,84480]$ |
$[139829677203278295877320000/11,5826234511928725040734650/11,29425406243910243321600]$ |
$y^2 + xy = 24x^6 - 95x^4 + 125x^2 - 55$ |
| 5280.d.84480.1 |
5280.d |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{9} \cdot 3 \cdot 5 \cdot 11 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(4.119112\) |
\(1.029778\) |
$[1014360,22497,7606321185,10560]$ |
$[1014360,42871910402,2415973367470080,153166510877458636799,84480]$ |
$[139829677203278295877320000/11,5826234511928725040734650/11,29425406243910243321600]$ |
$y^2 + xy = 24x^6 + 95x^4 + 125x^2 + 55$ |
