| 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.b3 |
51870e2 |
51870.b |
51870e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$4.088646394$ |
$1$ |
|
$6$ |
$9732096$ |
$3.275341$ |
$2591045694338778334837074169/606586705207219460505600$ |
$0.99878$ |
$5.81420$ |
$[1, 1, 0, -28614343, -45474082187]$ |
\(y^2+xy=x^3+x^2-28614343x-45474082187\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(-1851, 34888)]$ |
| 155610.er3 |
155610bb2 |
155610.er |
155610bb |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$77856768$ |
$3.824650$ |
$2591045694338778334837074169/606586705207219460505600$ |
$0.99878$ |
$5.83128$ |
$[1, -1, 1, -257529092, 1227542689959]$ |
\(y^2+xy+y=x^3-x^2-257529092x+1227542689959\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 156.24.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
| 259350.gf3 |
259350gf2 |
259350.gf |
259350gf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{8} \cdot 7^{8} \cdot 13^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$0.310125757$ |
$1$ |
|
$26$ |
$233570304$ |
$4.080063$ |
$2591045694338778334837074169/606586705207219460505600$ |
$0.99878$ |
$5.83819$ |
$[1, 0, 0, -715358588, -5682829556208]$ |
\(y^2+xy=x^3-715358588x-5682829556208\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[(88312, 24853444)]$ |
| 363090.dj3 |
363090dj2 |
363090.dj |
363090dj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 7^{14} \cdot 13^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$467140608$ |
$4.248299$ |
$2591045694338778334837074169/606586705207219460505600$ |
$0.99878$ |
$5.84244$ |
$[1, 0, 1, -1402102833, 15593403881668]$ |
\(y^2+xy+y=x^3-1402102833x+15593403881668\) |
2.6.0.a.1, 84.12.0.?, 120.12.0.?, 156.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 414960.fx3 |
414960fx2 |
414960.fx |
414960fx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{30} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$2.741815296$ |
$1$ |
|
$9$ |
$233570304$ |
$3.968491$ |
$2591045694338778334837074169/606586705207219460505600$ |
$0.99878$ |
$5.52257$ |
$[0, 1, 0, -457829496, 2909425600980]$ |
\(y^2=x^3+x^2-457829496x+2909425600980\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(4614, 946176)]$ |
