| 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.n3 |
51870o2 |
51870.n |
51870o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 13^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$737280$ |
$1.948530$ |
$1388898286900270148521/28874886258254400$ |
$0.94700$ |
$4.48421$ |
$[1, 1, 0, -232442, 42255444]$ |
\(y^2+xy=x^3+x^2-232442x+42255444\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 76.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 155610.dj3 |
155610bx2 |
155610.dj |
155610bx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$3.188324396$ |
$1$ |
|
$6$ |
$5898240$ |
$2.497837$ |
$1388898286900270148521/28874886258254400$ |
$0.94700$ |
$4.62350$ |
$[1, -1, 1, -2091983, -1142988969]$ |
\(y^2+xy+y=x^3-x^2-2091983x-1142988969\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 228.12.0.?, $\ldots$ |
$[(-765, 3422)]$ |
| 259350.gg3 |
259350gg2 |
259350.gg |
259350gg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$0.293958072$ |
$1$ |
|
$24$ |
$17694720$ |
$2.753250$ |
$1388898286900270148521/28874886258254400$ |
$0.94700$ |
$4.67991$ |
$[1, 0, 0, -5811063, 5293552617]$ |
\(y^2+xy=x^3-5811063x+5293552617\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 380.24.0.?, 456.24.0.?, $\ldots$ |
$[(1122, 13089)]$ |
| 363090.ch3 |
363090ch2 |
363090.ch |
363090ch |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15960$ |
$48$ |
$0$ |
$1.218209614$ |
$1$ |
|
$14$ |
$35389440$ |
$2.921486$ |
$1388898286900270148521/28874886258254400$ |
$0.94700$ |
$4.71460$ |
$[1, 0, 1, -11389684, -14527786318]$ |
\(y^2+xy+y=x^3-11389684x-14527786318\) |
2.6.0.a.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, 380.12.0.?, $\ldots$ |
$[(-2039, 15839)]$ |
| 414960.hu3 |
414960hu2 |
414960.hu |
414960hu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 13^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$17694720$ |
$2.641678$ |
$1388898286900270148521/28874886258254400$ |
$0.94700$ |
$4.40637$ |
$[0, 1, 0, -3719080, -2711786572]$ |
\(y^2=x^3+x^2-3719080x-2711786572\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 76.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
