| 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 |
| 10920.c4 |
10920j1 |
10920.c |
10920j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5120$ |
$0.384027$ |
$35969456/2985255$ |
$0.86766$ |
$3.00076$ |
$[0, -1, 0, 44, -1340]$ |
\(y^2=x^3-x^2+44x-1340\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.y.1.1, $\ldots$ |
$[]$ |
| 21840.bo4 |
21840q1 |
21840.bo |
21840q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3640$ |
$48$ |
$0$ |
$1.208455069$ |
$1$ |
|
$5$ |
$10240$ |
$0.384027$ |
$35969456/2985255$ |
$0.86766$ |
$2.79258$ |
$[0, 1, 0, 44, 1340]$ |
\(y^2=x^3+x^2+44x+1340\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.y.1.9, $\ldots$ |
$[(-1, 36)]$ |
| 32760.x4 |
32760q1 |
32760.x |
32760q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.506700883$ |
$1$ |
|
$3$ |
$40960$ |
$0.933333$ |
$35969456/2985255$ |
$0.86766$ |
$3.31768$ |
$[0, 0, 0, 393, 35786]$ |
\(y^2=x^3+393x+35786\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.y.1, 84.12.0.?, $\ldots$ |
$[(35, 304)]$ |
| 54600.cr4 |
54600bb1 |
54600.cr |
54600bb |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.188745$ |
$35969456/2985255$ |
$0.86766$ |
$3.44329$ |
$[0, 1, 0, 1092, -165312]$ |
\(y^2=x^3+x^2+1092x-165312\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 52.12.0-4.c.1.2, 56.12.0.y.1, $\ldots$ |
$[]$ |
| 65520.ee4 |
65520bm1 |
65520.ee |
65520bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$81920$ |
$0.933333$ |
$35969456/2985255$ |
$0.86766$ |
$3.11032$ |
$[0, 0, 0, 393, -35786]$ |
\(y^2=x^3+393x-35786\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.y.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 76440.cz4 |
76440da1 |
76440.cz |
76440da |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$245760$ |
$1.356983$ |
$35969456/2985255$ |
$0.86766$ |
$3.51980$ |
$[0, 1, 0, 2140, 455328]$ |
\(y^2=x^3+x^2+2140x+455328\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.y.1.2, 520.24.0.?, 910.6.0.?, $\ldots$ |
$[]$ |
| 87360.dr4 |
87360fq1 |
87360.dr |
87360fq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3640$ |
$48$ |
$0$ |
$4.139950580$ |
$1$ |
|
$3$ |
$81920$ |
$0.730601$ |
$35969456/2985255$ |
$0.86766$ |
$2.81786$ |
$[0, -1, 0, 175, 10545]$ |
\(y^2=x^3-x^2+175x+10545\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.5, 520.24.0.?, $\ldots$ |
$[(237, 3648)]$ |
| 87360.ft4 |
87360dg1 |
87360.ft |
87360dg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$81920$ |
$0.730601$ |
$35969456/2985255$ |
$0.86766$ |
$2.81786$ |
$[0, 1, 0, 175, -10545]$ |
\(y^2=x^3+x^2+175x-10545\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.13, 520.24.0.?, $\ldots$ |
$[]$ |
| 109200.g4 |
109200l1 |
109200.g |
109200l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$8.708637112$ |
$1$ |
|
$9$ |
$245760$ |
$1.188745$ |
$35969456/2985255$ |
$0.86766$ |
$3.23756$ |
$[0, -1, 0, 1092, 165312]$ |
\(y^2=x^3-x^2+1092x+165312\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 52.12.0-4.c.1.1, 56.12.0.y.1, $\ldots$ |
$[(33, 486), (16, 432)]$ |
| 141960.bg4 |
141960bw1 |
141960.bg |
141960bw |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$15.30123008$ |
$1$ |
|
$1$ |
$860160$ |
$1.666502$ |
$35969456/2985255$ |
$0.86766$ |
$3.64922$ |
$[0, -1, 0, 7380, -2914380]$ |
\(y^2=x^3-x^2+7380x-2914380\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(5125198/187, 7438976544/187)]$ |
| 152880.cs4 |
152880ha1 |
152880.cs |
152880ha |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3640$ |
$48$ |
$0$ |
$19.47728329$ |
$1$ |
|
$5$ |
$491520$ |
$1.356983$ |
$35969456/2985255$ |
$0.86766$ |
$3.31542$ |
$[0, -1, 0, 2140, -455328]$ |
\(y^2=x^3-x^2+2140x-455328\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.y.1.10, 520.24.0.?, 910.6.0.?, $\ldots$ |
$[(117, 1176), (712/3, 12160/3)]$ |
| 163800.dg4 |
163800w1 |
163800.dg |
163800w |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{7} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1.606236152$ |
$1$ |
|
$5$ |
$983040$ |
$1.738052$ |
$35969456/2985255$ |
$0.86766$ |
$3.67724$ |
$[0, 0, 0, 9825, 4473250]$ |
\(y^2=x^3+9825x+4473250\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.y.1, 120.12.0.?, 156.12.0.?, $\ldots$ |
$[(-115, 1350)]$ |
| 229320.r4 |
229320ds1 |
229320.r |
229320ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5 \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$1.906288$ |
$35969456/2985255$ |
$0.86766$ |
$3.74056$ |
$[0, 0, 0, 19257, -12274598]$ |
\(y^2=x^3+19257x-12274598\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[]$ |
| 262080.cw4 |
262080cw1 |
262080.cw |
262080cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.271212983$ |
$1$ |
|
$3$ |
$655360$ |
$1.279907$ |
$35969456/2985255$ |
$0.86766$ |
$3.09806$ |
$[0, 0, 0, 1572, 286288]$ |
\(y^2=x^3+1572x+286288\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[(6, 544)]$ |
| 262080.eb4 |
262080eb1 |
262080.eb |
262080eb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.737365188$ |
$1$ |
|
$3$ |
$655360$ |
$1.279907$ |
$35969456/2985255$ |
$0.86766$ |
$3.09806$ |
$[0, 0, 0, 1572, -286288]$ |
\(y^2=x^3+1572x-286288\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[(122, 1312)]$ |
| 283920.hh4 |
283920hh1 |
283920.hh |
283920hh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$4.359909377$ |
$1$ |
|
$3$ |
$1720320$ |
$1.666502$ |
$35969456/2985255$ |
$0.86766$ |
$3.44777$ |
$[0, 1, 0, 7380, 2914380]$ |
\(y^2=x^3+x^2+7380x+2914380\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(603, 15066)]$ |
| 327600.gd4 |
327600gd1 |
327600.gd |
327600gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{7} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$6.243133438$ |
$1$ |
|
$3$ |
$1966080$ |
$1.738052$ |
$35969456/2985255$ |
$0.86766$ |
$3.47653$ |
$[0, 0, 0, 9825, -4473250]$ |
\(y^2=x^3+9825x-4473250\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.y.1, 120.12.0.?, 156.12.0.?, $\ldots$ |
$[(5045, 358400)]$ |
| 382200.el4 |
382200el1 |
382200.el |
382200el |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$2.161701$ |
$35969456/2985255$ |
$0.86766$ |
$3.83035$ |
$[0, -1, 0, 53492, 56809012]$ |
\(y^2=x^3-x^2+53492x+56809012\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 425880.cn4 |
425880cn1 |
425880.cn |
425880cn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6881280$ |
$2.215809$ |
$35969456/2985255$ |
$0.86766$ |
$3.84846$ |
$[0, 0, 0, 66417, 78621842]$ |
\(y^2=x^3+66417x+78621842\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.y.1, 60.12.0-4.c.1.2, 312.12.0.?, $\ldots$ |
$[]$ |
| 436800.ga4 |
436800ga1 |
436800.ga |
436800ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$1.535320$ |
$35969456/2985255$ |
$0.86766$ |
$3.21220$ |
$[0, -1, 0, 4367, -1326863]$ |
\(y^2=x^3-x^2+4367x-1326863\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 436800.nz4 |
436800nz1 |
436800.nz |
436800nz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$0.821947339$ |
$1$ |
|
$7$ |
$1966080$ |
$1.535320$ |
$35969456/2985255$ |
$0.86766$ |
$3.21220$ |
$[0, 1, 0, 4367, 1326863]$ |
\(y^2=x^3+x^2+4367x+1326863\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(23, 1200)]$ |
| 458640.gn4 |
458640gn1 |
458640.gn |
458640gn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5 \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3932160$ |
$1.906288$ |
$35969456/2985255$ |
$0.86766$ |
$3.54167$ |
$[0, 0, 0, 19257, 12274598]$ |
\(y^2=x^3+19257x+12274598\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[]$ |
