| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 61017.a1 |
61017a4 |
61017.a |
61017a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 43^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11352$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$487872$ |
$1.867968$ |
$347873904937/395307$ |
$1.00913$ |
$4.45982$ |
$[1, 0, 0, -270917, -54244602]$ |
\(y^2+xy=x^3-270917x-54244602\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
| 61017.a2 |
61017a2 |
61017.a |
61017a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 43^{2} \) |
\( 3^{6} \cdot 11^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5676$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$243936$ |
$1.521395$ |
$169112377/88209$ |
$1.00669$ |
$3.76746$ |
$[1, 0, 0, -21302, -377685]$ |
\(y^2+xy=x^3-21302x-377685\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 132.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
| 61017.a3 |
61017a1 |
61017.a |
61017a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 43^{2} \) |
\( 3^{3} \cdot 11 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11352$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$121968$ |
$1.174820$ |
$30664297/297$ |
$1.09706$ |
$3.61250$ |
$[1, 0, 0, -12057, 504288]$ |
\(y^2+xy=x^3-12057x+504288\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 61017.a4 |
61017a3 |
61017.a |
61017a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 43^{2} \) |
\( - 3^{12} \cdot 11 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11352$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$487872$ |
$1.867968$ |
$9090072503/5845851$ |
$1.03763$ |
$4.12905$ |
$[1, 0, 0, 80393, -2920060]$ |
\(y^2+xy=x^3+80393x-2920060\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
