| 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.bo2 |
51870br5 |
51870.bo |
51870br |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{54} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 9.24.0.3 |
2B, 3B.1.2 |
$622440$ |
$864$ |
$21$ |
$1$ |
$81$ |
$3$ |
$1$ |
$26873856$ |
$3.855167$ |
$-1834062617110722362185460981345641/26630595244574669537280$ |
$1.02556$ |
$7.05493$ |
$[1, 0, 1, -2550136823, -49567293320614]$ |
\(y^2+xy+y=x^3-2550136823x-49567293320614\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 9.24.0-9.a.1.1, 18.72.0-18.a.1.2, $\ldots$ |
$[]$ |
| 155610.dx2 |
155610bi5 |
155610.dx |
155610bi |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{54} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.24.0.1 |
2B, 3B.1.1 |
$622440$ |
$864$ |
$21$ |
$1$ |
$9$ |
$3$ |
$5$ |
$214990848$ |
$4.404472$ |
$-1834062617110722362185460981345641/26630595244574669537280$ |
$1.02556$ |
$6.95799$ |
$[1, -1, 1, -22951231403, 1338316919656571]$ |
\(y^2+xy+y=x^3-x^2-22951231403x+1338316919656571\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 9.24.0-9.a.1.2, 18.72.0-18.a.1.1, $\ldots$ |
$[]$ |
| 259350.el2 |
259350el5 |
259350.el |
259350el |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{54} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$622440$ |
$864$ |
$21$ |
$10.19139419$ |
$1$ |
|
$1$ |
$644972544$ |
$4.659889$ |
$-1834062617110722362185460981345641/26630595244574669537280$ |
$1.02556$ |
$6.91873$ |
$[1, 1, 1, -63753420563, -6195911665076719]$ |
\(y^2+xy+y=x^3+x^2-63753420563x-6195911665076719\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, $\ldots$ |
$[(577602075/19, 13691655151258/19)]$ |
| 363090.m2 |
363090m5 |
363090.m |
363090m |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{54} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$622440$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$1289945088$ |
$4.828125$ |
$-1834062617110722362185460981345641/26630595244574669537280$ |
$1.02556$ |
$6.89459$ |
$[1, 1, 0, -124956704303, 17001456652266213]$ |
\(y^2+xy=x^3+x^2-124956704303x+17001456652266213\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$ |
$[]$ |
| 414960.cx2 |
414960cx5 |
414960.cx |
414960cx |
$6$ |
$18$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{66} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$622440$ |
$864$ |
$21$ |
$1$ |
$9$ |
$3$ |
$1$ |
$644972544$ |
$4.548317$ |
$-1834062617110722362185460981345641/26630595244574669537280$ |
$1.02556$ |
$6.56385$ |
$[0, -1, 0, -40802189160, 3172306772519280]$ |
\(y^2=x^3-x^2-40802189160x+3172306772519280\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.9, $\ldots$ |
$[]$ |
