| 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.j4 |
51870j1 |
51870.j |
51870j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 7^{3} \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$13832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.817225$ |
$36676733979624816169/19519718400000000$ |
$0.95571$ |
$4.14947$ |
$[1, 1, 0, -69218, -2015628]$ |
\(y^2+xy=x^3+x^2-69218x-2015628\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[]$ |
| 155610.eu4 |
155610a1 |
155610.eu |
155610a |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{8} \cdot 7^{3} \cdot 13 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$0.160128334$ |
$1$ |
|
$19$ |
$4718592$ |
$2.366531$ |
$36676733979624816169/19519718400000000$ |
$0.95571$ |
$4.31952$ |
$[1, -1, 1, -622967, 53798991]$ |
\(y^2+xy+y=x^3-x^2-622967x+53798991\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[(2171, 93414)]$ |
| 259350.fy4 |
259350fy1 |
259350.fy |
259350fy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{14} \cdot 7^{3} \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$69160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14155776$ |
$2.621944$ |
$36676733979624816169/19519718400000000$ |
$0.95571$ |
$4.38838$ |
$[1, 0, 0, -1730463, -248492583]$ |
\(y^2+xy=x^3-1730463x-248492583\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 363090.dy4 |
363090dy1 |
363090.dy |
363090dy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 7^{9} \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28311552$ |
$2.790180$ |
$36676733979624816169/19519718400000000$ |
$0.95571$ |
$4.43074$ |
$[1, 0, 1, -3391708, 681185306]$ |
\(y^2+xy+y=x^3-3391708x+681185306\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 76.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
| 414960.ei4 |
414960ei1 |
414960.ei |
414960ei |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{28} \cdot 3^{2} \cdot 5^{8} \cdot 7^{3} \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$13832$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14155776$ |
$2.510372$ |
$36676733979624816169/19519718400000000$ |
$0.95571$ |
$4.12544$ |
$[0, 1, 0, -1107496, 126785204]$ |
\(y^2=x^3+x^2-1107496x+126785204\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$ |
$[]$ |
