| 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 |
| 77610.bb3 |
77610ba2 |
77610.bb |
77610ba |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 199 \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{5} \cdot 13^{10} \cdot 199^{2} \) |
$1$ |
$\Z/10\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 5$ |
2.3.0.1, 5.24.0.1 |
2B, 5B.1.1 |
$310440$ |
$288$ |
$5$ |
$2.561010468$ |
$1$ |
|
$16$ |
$70080000$ |
$4.171402$ |
$86169418186840207524668053126801/33010505869278473338982400000$ |
$1.02137$ |
$6.53086$ |
$[1, 0, 0, -920187825, 6246414106857]$ |
\(y^2+xy=x^3-920187825x+6246414106857\) |
2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 40.144.1-40.bf.1.13, 31044.6.0.?, $\ldots$ |
$[(4554, 1464123)]$ |
| 232830.b3 |
232830b2 |
232830.b |
232830b |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 199 \) |
\( 2^{15} \cdot 3^{16} \cdot 5^{5} \cdot 13^{10} \cdot 199^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$310440$ |
$288$ |
$5$ |
$11.96803711$ |
$1$ |
|
$0$ |
$560640000$ |
$4.720711$ |
$86169418186840207524668053126801/33010505869278473338982400000$ |
$1.02137$ |
$6.48366$ |
$[1, -1, 0, -8281690425, -168653180885139]$ |
\(y^2+xy=x^3-x^2-8281690425x-168653180885139\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.1, 30.72.0-10.a.2.4, $\ldots$ |
$[(65891721/5, 534381390591/5)]$ |
| 388050.l3 |
388050l2 |
388050.l |
388050l |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 199 \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{11} \cdot 13^{10} \cdot 199^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.2 |
2B, 5B.1.4 |
$310440$ |
$288$ |
$5$ |
$94.35172309$ |
$1$ |
|
$0$ |
$1681920000$ |
$4.976120$ |
$86169418186840207524668053126801/33010505869278473338982400000$ |
$1.02137$ |
$6.46447$ |
$[1, 1, 0, -23004695625, 780801763357125]$ |
\(y^2+xy=x^3+x^2-23004695625x+780801763357125\) |
2.3.0.a.1, 5.24.0-5.a.1.1, 10.72.0-10.a.2.3, 40.144.1-40.bf.1.5, 31044.6.0.?, $\ldots$ |
$[(-643649929504691303036323578811761284858689/2494767241095903361, 704480636856373860993452441987583940435830418930166698393213803/2494767241095903361)]$ |
