| 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.b2 |
51870e3 |
51870.b |
51870e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{9} \cdot 3^{3} \cdot 5 \cdot 7^{16} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$8.177292789$ |
$1$ |
|
$0$ |
$19464192$ |
$3.621918$ |
$399020725834811692396780472569/23683887027953031545003520$ |
$1.06514$ |
$6.27816$ |
$[1, 1, 0, -153375943, 692540686453]$ |
\(y^2+xy=x^3+x^2-153375943x+692540686453\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(216381/5, 13993639/5)]$ |
| 155610.er2 |
155610bb4 |
155610.er |
155610bb |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{9} \cdot 3^{9} \cdot 5 \cdot 7^{16} \cdot 13^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$155713536$ |
$4.171219$ |
$399020725834811692396780472569/23683887027953031545003520$ |
$1.06514$ |
$6.25260$ |
$[1, -1, 1, -1380383492, -18699978917721]$ |
\(y^2+xy+y=x^3-x^2-1380383492x-18699978917721\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 312.24.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
| 259350.gf2 |
259350gf3 |
259350.gf |
259350gf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 7^{16} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$0.620251515$ |
$1$ |
|
$10$ |
$467140608$ |
$4.426636$ |
$399020725834811692396780472569/23683887027953031545003520$ |
$1.06514$ |
$6.24225$ |
$[1, 0, 0, -3834398588, 86575254603792]$ |
\(y^2+xy=x^3-3834398588x+86575254603792\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(94012, 23553844)]$ |
| 363090.dj2 |
363090dj4 |
363090.dj |
363090dj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{9} \cdot 3^{3} \cdot 5 \cdot 7^{22} \cdot 13^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$934281216$ |
$4.594872$ |
$399020725834811692396780472569/23683887027953031545003520$ |
$1.06514$ |
$6.23588$ |
$[1, 0, 1, -7515421233, -237564001717052]$ |
\(y^2+xy+y=x^3-7515421233x-237564001717052\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 414960.fx2 |
414960fx4 |
414960.fx |
414960fx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{21} \cdot 3^{3} \cdot 5 \cdot 7^{16} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.370907648$ |
$1$ |
|
$5$ |
$467140608$ |
$4.315063$ |
$399020725834811692396780472569/23683887027953031545003520$ |
$1.06514$ |
$5.91195$ |
$[0, 1, 0, -2454015096, -44327511963180]$ |
\(y^2=x^3+x^2-2454015096x-44327511963180\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(505734, 357861504)]$ |
