| 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 |
| 6630.v4 |
6630w4 |
6630.v |
6630w |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 17^{12} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.8, 3.8.0.1 |
2B, 3B.1.1 |
$5304$ |
$384$ |
$5$ |
$5.068018879$ |
$1$ |
|
$10$ |
$1105920$ |
$3.224892$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.52978$ |
$[1, 0, 0, -81373266, -282504599100]$ |
\(y^2+xy=x^3-81373266x-282504599100\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.2, 6.24.0-6.a.1.4, 12.96.0-12.c.3.7, $\ldots$ |
$[(-5166, 5490)]$ |
| 19890.n4 |
19890r4 |
19890.n |
19890r |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$5304$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$8847360$ |
$3.774197$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.35999$ |
$[1, -1, 0, -732359394, 7627624175700]$ |
\(y^2+xy=x^3-x^2-732359394x+7627624175700\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.3.3, $\ldots$ |
$[]$ |
| 33150.l4 |
33150b5 |
33150.l |
33150b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$5$ |
$43.90009559$ |
$1$ |
|
$0$ |
$26542080$ |
$4.029610$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.29324$ |
$[1, 1, 0, -2034331650, -35313074887500]$ |
\(y^2+xy=x^3+x^2-2034331650x-35313074887500\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(-49044725875285651909/43580591, 3441055967940854518512127326/43580591)]$ |
| 53040.s4 |
53040bp5 |
53040.s |
53040bp |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 17^{12} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$5304$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$3$ |
$26542080$ |
$3.918037$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$6.85508$ |
$[0, -1, 0, -1301972256, 18080294342400]$ |
\(y^2=x^3-x^2-1301972256x+18080294342400\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.3.8, $\ldots$ |
$[]$ |
| 86190.bm4 |
86190bm5 |
86190.bm |
86190bm |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{7} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$5304$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$185794560$ |
$4.507362$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.18451$ |
$[1, 0, 1, -13752081958, -620648852140744]$ |
\(y^2+xy+y=x^3-13752081958x-620648852140744\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.24.0-6.a.1.1, 12.96.0-12.c.3.2, $\ldots$ |
$[]$ |
| 99450.dq4 |
99450cr5 |
99450.dq |
99450cr |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 13 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$212336640$ |
$4.578918$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.16978$ |
$[1, -1, 1, -18308984855, 953434712977647]$ |
\(y^2+xy+y=x^3-x^2-18308984855x+953434712977647\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[]$ |
| 112710.cj4 |
112710cj5 |
112710.cj |
112710cj |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 17^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$5304$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$318504960$ |
$4.641495$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.15719$ |
$[1, 1, 1, -23516873880, -1387921578504423]$ |
\(y^2+xy+y=x^3+x^2-23516873880x-1387921578504423\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 159120.ek4 |
159120z5 |
159120.ek |
159120z |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{2} \cdot 13 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$384$ |
$5$ |
$44.45249262$ |
$1$ |
|
$1$ |
$212336640$ |
$4.467346$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$6.77665$ |
$[0, 0, 0, -11717750307, -488156229494494]$ |
\(y^2=x^3-11717750307x-488156229494494\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.3.4, $\ldots$ |
$[(-172650004142929059809/52370829, 22357788784935511745268280970/52370829)]$ |
| 212160.cc4 |
212160gf5 |
212160.cc |
212160gf |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$5304$ |
$384$ |
$5$ |
$11.72272093$ |
$1$ |
|
$1$ |
$212336640$ |
$4.264610$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$6.41935$ |
$[0, -1, 0, -5207889025, -144637146850175]$ |
\(y^2=x^3-x^2-5207889025x-144637146850175\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ |
$[(22684971/11, 98426978420/11)]$ |
| 212160.hq4 |
212160z4 |
212160.hq |
212160z |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$5304$ |
$384$ |
$5$ |
$3.963756636$ |
$1$ |
|
$3$ |
$212336640$ |
$4.264610$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$6.41935$ |
$[0, 1, 0, -5207889025, 144637146850175]$ |
\(y^2=x^3+x^2-5207889025x+144637146850175\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ |
$[(56210, 5431755)]$ |
| 258570.ef4 |
258570ef4 |
258570.ef |
258570ef |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{7} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$384$ |
$5$ |
$7.487270588$ |
$1$ |
|
$0$ |
$1486356480$ |
$5.056671$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.08009$ |
$[1, -1, 1, -123768737618, 16757519007800081]$ |
\(y^2+xy+y=x^3-x^2-123768737618x+16757519007800081\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.3, 12.96.0-12.c.3.6, $\ldots$ |
$[(5021331/5, 110113739/5)]$ |
| 265200.dz4 |
265200dz4 |
265200.dz |
265200dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{8} \cdot 13 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$5$ |
$12.05270626$ |
$1$ |
|
$1$ |
$637009920$ |
$4.722755$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$6.74488$ |
$[0, 1, 0, -32549306408, 2259971694187188]$ |
\(y^2=x^3+x^2-32549306408x+2259971694187188\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(17807812/13, 904708050/13)]$ |
| 324870.el4 |
324870el4 |
324870.el |
324870el |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$37128$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$318504960$ |
$4.197845$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$6.14070$ |
$[1, 1, 1, -3987290035, 96895090201265]$ |
\(y^2+xy+y=x^3+x^2-3987290035x+96895090201265\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[]$ |
| 338130.y4 |
338130y4 |
338130.y |
338130y |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13 \cdot 17^{18} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$384$ |
$5$ |
$25.24318688$ |
$1$ |
|
$0$ |
$2548039680$ |
$5.190804$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.05733$ |
$[1, -1, 0, -211651864920, 37473670967754496]$ |
\(y^2+xy=x^3-x^2-211651864920x+37473670967754496\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(184361590281152/27151, 268593574522146204080/27151)]$ |
| 430950.ep4 |
430950ep5 |
430950.ep |
430950ep |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13^{7} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26520$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$4459069440$ |
$5.312088$ |
$59589391972023341137821784609/8834417507562311995200$ |
$1.03505$ |
$7.03757$ |
$[1, 1, 1, -343802048938, -77581106517592969]$ |
\(y^2+xy+y=x^3+x^2-343802048938x-77581106517592969\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[]$ |
