| 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 |
| 51870.i2 |
51870h2 |
51870.i |
51870h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1.093887047$ |
$1$ |
|
$10$ |
$589824$ |
$1.938347$ |
$10904788983938472043849/1966820496322500$ |
$0.95486$ |
$4.67402$ |
$[1, 1, 0, -461988, 120652092]$ |
\(y^2+xy=x^3+x^2-461988x+120652092\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.12.0.?, 104.24.0.?, $\ldots$ |
$[(46, 9952)]$ |
| 155610.et2 |
155610b2 |
155610.et |
155610b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4718592$ |
$2.487652$ |
$10904788983938472043849/1966820496322500$ |
$0.95486$ |
$4.79587$ |
$[1, -1, 1, -4157897, -3261764379]$ |
\(y^2+xy+y=x^3-x^2-4157897x-3261764379\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
| 259350.ga2 |
259350ga2 |
259350.ga |
259350ga |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1.655977484$ |
$1$ |
|
$6$ |
$14155776$ |
$2.743065$ |
$10904788983938472043849/1966820496322500$ |
$0.95486$ |
$4.84521$ |
$[1, 0, 0, -11549713, 15104610917]$ |
\(y^2+xy=x^3-11549713x+15104610917\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 104.12.0.?, 168.12.0.?, 260.12.0.?, $\ldots$ |
$[(-34, 124505)]$ |
| 363090.dz2 |
363090dz2 |
363090.dz |
363090dz |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$2.769340139$ |
$1$ |
|
$8$ |
$28311552$ |
$2.911301$ |
$10904788983938472043849/1966820496322500$ |
$0.95486$ |
$4.87556$ |
$[1, 0, 1, -22637438, -41451579844]$ |
\(y^2+xy+y=x^3-22637438x-41451579844\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 104.12.0.?, 168.24.0.?, $\ldots$ |
$[(-2745, 3907)]$ |
| 414960.eh2 |
414960eh2 |
414960.eh |
414960eh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$3.071411508$ |
$1$ |
|
$9$ |
$14155776$ |
$2.631493$ |
$10904788983938472043849/1966820496322500$ |
$0.95486$ |
$4.56567$ |
$[0, 1, 0, -7391816, -7736517516]$ |
\(y^2=x^3+x^2-7391816x-7736517516\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.12.0.?, 104.24.0.?, $\ldots$ |
$[(-1580, 858)]$ |
