| 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 |
| 58344.c2 |
58344b2 |
58344.c |
58344b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{4} \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$884$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7409664$ |
$3.340874$ |
$938873405985183095624413648/138168614163375007641$ |
$1.10840$ |
$6.16468$ |
$[0, -1, 0, -129531212, -567311359020]$ |
\(y^2=x^3-x^2-129531212x-567311359020\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.1, 68.24.0-68.a.1.2, 884.48.0.? |
$[]$ |
| 116688.be2 |
116688f2 |
116688.be |
116688f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{4} \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$884$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$14819328$ |
$3.340874$ |
$938873405985183095624413648/138168614163375007641$ |
$1.10840$ |
$5.79844$ |
$[0, 1, 0, -129531212, 567311359020]$ |
\(y^2=x^3+x^2-129531212x+567311359020\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 68.24.0-68.a.1.1, 884.48.0.? |
$[]$ |
| 175032.f2 |
175032c2 |
175032.f |
175032c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{10} \cdot 11^{4} \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$59277312$ |
$3.890182$ |
$938873405985183095624413648/138168614163375007641$ |
$1.10840$ |
$6.14970$ |
$[0, 0, 0, -1165780911, 15318572474450]$ |
\(y^2=x^3-1165780911x+15318572474450\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 156.24.0.?, $\ldots$ |
$[]$ |
| 350064.n2 |
350064n2 |
350064.n |
350064n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{10} \cdot 11^{4} \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$118554624$ |
$3.890182$ |
$938873405985183095624413648/138168614163375007641$ |
$1.10840$ |
$5.81579$ |
$[0, 0, 0, -1165780911, -15318572474450]$ |
\(y^2=x^3-1165780911x-15318572474450\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 156.24.0.?, $\ldots$ |
$[]$ |
| 466752.q2 |
466752q2 |
466752.q |
466752q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{4} \cdot 11^{4} \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$118554624$ |
$3.687450$ |
$938873405985183095624413648/138168614163375007641$ |
$1.10840$ |
$5.50124$ |
$[0, -1, 0, -518124849, 4539008997009]$ |
\(y^2=x^3-x^2-518124849x+4539008997009\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 466752.cr2 |
466752cr2 |
466752.cr |
466752cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{4} \cdot 11^{4} \cdot 13^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1768$ |
$48$ |
$0$ |
$9.707348019$ |
$1$ |
|
$3$ |
$118554624$ |
$3.687450$ |
$938873405985183095624413648/138168614163375007641$ |
$1.10840$ |
$5.50124$ |
$[0, 1, 0, -518124849, -4539008997009]$ |
\(y^2=x^3+x^2-518124849x-4539008997009\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 104.24.0.?, $\ldots$ |
$[(-2241366/13, 4700619/13)]$ |
