| 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.e3 |
51870b2 |
51870.e |
51870b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$20748$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$327680$ |
$1.648970$ |
$1354958399265695661529/4304795040000$ |
$0.94657$ |
$4.48193$ |
$[1, 1, 0, -230533, -42699827]$ |
\(y^2+xy=x^3+x^2-230533x-42699827\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 156.24.0.?, 532.12.0.?, $\ldots$ |
$[]$ |
| 155610.eh3 |
155610u2 |
155610.eh |
155610u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$20748$ |
$48$ |
$0$ |
$0.478708137$ |
$1$ |
|
$18$ |
$2621440$ |
$2.198277$ |
$1354958399265695661529/4304795040000$ |
$0.94657$ |
$4.62143$ |
$[1, -1, 1, -2074802, 1150820529]$ |
\(y^2+xy+y=x^3-x^2-2074802x+1150820529\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 156.24.0.?, 1596.24.0.?, 6916.24.0.?, $\ldots$ |
$[(807, 831)]$ |
| 259350.gr3 |
259350gr2 |
259350.gr |
259350gr |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$103740$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7864320$ |
$2.453690$ |
$1354958399265695661529/4304795040000$ |
$0.94657$ |
$4.67792$ |
$[1, 0, 0, -5763338, -5325951708]$ |
\(y^2+xy=x^3-5763338x-5325951708\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 156.12.0.?, 260.12.0.?, 780.24.0.?, $\ldots$ |
$[]$ |
| 363090.ds3 |
363090ds2 |
363090.ds |
363090ds |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$20748$ |
$48$ |
$0$ |
$1.863630597$ |
$1$ |
|
$8$ |
$15728640$ |
$2.621925$ |
$1354958399265695661529/4304795040000$ |
$0.94657$ |
$4.71267$ |
$[1, 0, 1, -11296143, 14612152258]$ |
\(y^2+xy+y=x^3-11296143x+14612152258\) |
2.6.0.a.1, 76.12.0.?, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$ |
$[(1852, 5762)]$ |
| 414960.fp3 |
414960fp2 |
414960.fp |
414960fp |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$20748$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7864320$ |
$2.342117$ |
$1354958399265695661529/4304795040000$ |
$0.94657$ |
$4.40446$ |
$[0, 1, 0, -3688536, 2725411860]$ |
\(y^2=x^3+x^2-3688536x+2725411860\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 156.24.0.?, 532.12.0.?, $\ldots$ |
$[]$ |
