| 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.i3 |
51870h1 |
51870.i |
51870h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$2184$ |
$48$ |
$0$ |
$2.187774094$ |
$1$ |
|
$3$ |
$294912$ |
$1.591774$ |
$10903372803697816092169/354790800$ |
$0.95485$ |
$4.67401$ |
$[1, 1, 0, -461968, 120663088]$ |
\(y^2+xy=x^3+x^2-461968x+120663088\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[(428, 1040)]$ |
| 155610.et3 |
155610b1 |
155610.et |
155610b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2359296$ |
$2.141079$ |
$10903372803697816092169/354790800$ |
$0.95485$ |
$4.79586$ |
$[1, -1, 1, -4157717, -3262061091]$ |
\(y^2+xy+y=x^3-x^2-4157717x-3262061091\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[]$ |
| 259350.ga3 |
259350ga1 |
259350.ga |
259350ga |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.311954968$ |
$1$ |
|
$3$ |
$7077888$ |
$2.396492$ |
$10903372803697816092169/354790800$ |
$0.95485$ |
$4.84520$ |
$[1, 0, 0, -11549213, 15105984417]$ |
\(y^2+xy=x^3-11549213x+15105984417\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 104.12.0.?, 168.12.0.?, $\ldots$ |
$[(2218, 18955)]$ |
| 363090.dz3 |
363090dz1 |
363090.dz |
363090dz |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 13 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.538680279$ |
$1$ |
|
$3$ |
$14155776$ |
$2.564728$ |
$10903372803697816092169/354790800$ |
$0.95485$ |
$4.87555$ |
$[1, 0, 1, -22636458, -41455348532]$ |
\(y^2+xy+y=x^3-22636458x-41455348532\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$ |
$[(5534, 49785)]$ |
| 414960.eh3 |
414960eh1 |
414960.eh |
414960eh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2184$ |
$48$ |
$0$ |
$6.142823017$ |
$1$ |
|
$3$ |
$7077888$ |
$2.284920$ |
$10903372803697816092169/354790800$ |
$0.95485$ |
$4.56566$ |
$[0, 1, 0, -7391496, -7737220620]$ |
\(y^2=x^3+x^2-7391496x-7737220620\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[(6174, 426624)]$ |
