| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 44520.x4 |
44520x3 |
44520.x |
44520x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 53^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.777351$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$4.14775$ |
$2$ |
$[0, 1, 0, 33040, -5047392]$ |
\(y^2=x^3+x^2+33040x-5047392\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 2120.24.0.?, 6360.48.0.? |
$[ ]$ |
$1$ |
| 89040.r4 |
89040h3 |
89040.r |
89040h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 53^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6360$ |
$48$ |
$0$ |
$3.280583906$ |
$1$ |
|
$7$ |
$884736$ |
$1.777351$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$3.89549$ |
$1$ |
$[0, -1, 0, 33040, 5047392]$ |
\(y^2=x^3-x^2+33040x+5047392\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 2120.24.0.?, 6360.48.0.? |
$[(-86, 1250)]$ |
$1$ |
| 133560.m4 |
133560bg4 |
133560.m |
133560bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 53^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6360$ |
$48$ |
$0$ |
$3.335803395$ |
$1$ |
|
$3$ |
$3538944$ |
$2.326656$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$4.32017$ |
$2$ |
$[0, 0, 0, 297357, 136576942]$ |
\(y^2=x^3+297357x+136576942\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[(566, 22050)]$ |
$1$ |
| 222600.p4 |
222600co3 |
222600.p |
222600co |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 53^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$19.05750513$ |
$1$ |
|
$1$ |
$10616832$ |
$2.582069$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$4.38986$ |
$2$ |
$[0, -1, 0, 825992, -632575988]$ |
\(y^2=x^3-x^2+825992x-632575988\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(80060769/377, 178686315874/377)]$ |
$1$ |
| 267120.u4 |
267120u3 |
267120.u |
267120u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 53^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.326656$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$4.08052$ |
$2$ |
$[0, 0, 0, 297357, -136576942]$ |
\(y^2=x^3+297357x-136576942\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[ ]$ |
$1$ |
| 311640.h4 |
311640h4 |
311640.h |
311640h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 53 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{8} \cdot 53^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$44520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21233664$ |
$2.750305$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$4.43269$ |
$2$ |
$[0, -1, 0, 1618944, 1734493356]$ |
\(y^2=x^3-x^2+1618944x+1734493356\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 28.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 356160.bb4 |
356160bb3 |
356160.bb |
356160bb |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 53^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7077888$ |
$2.123924$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$3.79838$ |
$2$ |
$[0, -1, 0, 132159, -40511295]$ |
\(y^2=x^3-x^2+132159x-40511295\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 356160.es4 |
356160es4 |
356160.es |
356160es |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 53^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6360$ |
$48$ |
$0$ |
$5.075925876$ |
$1$ |
|
$3$ |
$7077888$ |
$2.123924$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$3.79838$ |
$2$ |
$[0, 1, 0, 132159, 40511295]$ |
\(y^2=x^3+x^2+132159x+40511295\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[(261, 9636)]$ |
$1$ |
| 445200.gd4 |
445200gd4 |
445200.gd |
445200gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 53^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1.631793516$ |
$1$ |
|
$7$ |
$21233664$ |
$2.582069$ |
$1947604329004318/6524441476875$ |
$0.93329$ |
$4.15591$ |
$2$ |
$[0, 1, 0, 825992, 632575988]$ |
\(y^2=x^3+x^2+825992x+632575988\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(68, 26250)]$ |
$1$ |
