| 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 |
| 4290.q2 |
4290t2 |
4290.q |
4290t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$0.388317215$ |
$1$ |
|
$16$ |
$2304$ |
$0.386432$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.52476$ |
$[1, 1, 1, -386, 2639]$ |
\(y^2+xy+y=x^3+x^2-386x+2639\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 572.12.0.?, $\ldots$ |
$[(3, 37)]$ |
| 12870.m2 |
12870t2 |
12870.m |
12870t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1.210030144$ |
$1$ |
|
$12$ |
$18432$ |
$0.935738$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.81214$ |
$[1, -1, 0, -3474, -74732]$ |
\(y^2+xy=x^3-x^2-3474x-74732\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 120.24.0.?, 1144.12.0.?, $\ldots$ |
$[(-36, 70)]$ |
| 21450.bm2 |
21450bf2 |
21450.bm |
21450bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$55296$ |
$1.191151$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.92420$ |
$[1, 0, 1, -9651, 349198]$ |
\(y^2+xy+y=x^3-9651x+349198\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 1144.12.0.?, $\ldots$ |
$[]$ |
| 34320.bu2 |
34320bt2 |
34320.bu |
34320bt |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$3.443585446$ |
$1$ |
|
$5$ |
$55296$ |
$1.079578$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.61939$ |
$[0, 1, 0, -6176, -181260]$ |
\(y^2=x^3+x^2-6176x-181260\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 572.12.0.?, $\ldots$ |
$[(207, 2730)]$ |
| 47190.h2 |
47190h2 |
47190.h |
47190h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$3.000995336$ |
$1$ |
|
$8$ |
$276480$ |
$1.585379$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.07628$ |
$[1, 1, 0, -46708, -3746288]$ |
\(y^2+xy=x^3+x^2-46708x-3746288\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 88.12.0.?, 120.12.0.?, 660.12.0.?, $\ldots$ |
$[(-144, 212)]$ |
| 55770.s2 |
55770l2 |
55770.s |
55770l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$387072$ |
$1.668907$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.10568$ |
$[1, 1, 0, -65237, 6124461]$ |
\(y^2+xy=x^3+x^2-65237x+6124461\) |
2.6.0.a.1, 44.12.0-2.a.1.1, 104.12.0.?, 120.12.0.?, 780.12.0.?, $\ldots$ |
$[]$ |
| 64350.fb2 |
64350dy2 |
64350.fb |
64350dy |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$442368$ |
$1.740458$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.13017$ |
$[1, -1, 1, -86855, -9428353]$ |
\(y^2+xy+y=x^3-x^2-86855x-9428353\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 1144.24.0.?, 8580.24.0.?, $\ldots$ |
$[]$ |
| 102960.es2 |
102960en2 |
102960.es |
102960en |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$2.206666640$ |
$1$ |
|
$9$ |
$442368$ |
$1.628885$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.84598$ |
$[0, 0, 0, -55587, 4838434]$ |
\(y^2=x^3-55587x+4838434\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 120.24.0.?, 1144.12.0.?, $\ldots$ |
$[(15, 2002)]$ |
| 137280.dr2 |
137280cr2 |
137280.dr |
137280cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$5.630602741$ |
$1$ |
|
$5$ |
$442368$ |
$1.426153$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.54681$ |
$[0, -1, 0, -24705, -1425375]$ |
\(y^2=x^3-x^2-24705x-1425375\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 1144.24.0.?, 8580.24.0.?, $\ldots$ |
$[(1512, 58443)]$ |
| 137280.fs2 |
137280ea2 |
137280.fs |
137280ea |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$442368$ |
$1.426153$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.54681$ |
$[0, 1, 0, -24705, 1425375]$ |
\(y^2=x^3+x^2-24705x+1425375\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 1144.24.0.?, 8580.24.0.?, $\ldots$ |
$[]$ |
| 141570.fb2 |
141570x2 |
141570.fb |
141570x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2211840$ |
$2.134686$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.25447$ |
$[1, -1, 1, -420377, 100729401]$ |
\(y^2+xy+y=x^3-x^2-420377x+100729401\) |
2.6.0.a.1, 120.12.0.?, 156.12.0.?, 220.12.0.?, 264.12.0.?, $\ldots$ |
$[]$ |
| 167310.ei2 |
167310bt2 |
167310.ei |
167310bt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3096576$ |
$2.218212$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.27871$ |
$[1, -1, 1, -587138, -165947583]$ |
\(y^2+xy+y=x^3-x^2-587138x-165947583\) |
2.6.0.a.1, 120.12.0.?, 132.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 171600.h2 |
171600ds2 |
171600.h |
171600ds |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1.812078123$ |
$1$ |
|
$13$ |
$1327104$ |
$1.884298$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.93728$ |
$[0, -1, 0, -154408, -22348688]$ |
\(y^2=x^3-x^2-154408x-22348688\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 1144.12.0.?, $\ldots$ |
$[(562, 8250)]$ |
| 210210.fk2 |
210210c2 |
210210.fk |
210210c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$120120$ |
$48$ |
$0$ |
$1.696494020$ |
$1$ |
|
$8$ |
$663552$ |
$1.359386$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.35813$ |
$[1, 0, 0, -18915, -961983]$ |
\(y^2+xy=x^3-18915x-961983\) |
2.6.0.a.1, 56.12.0-2.a.1.1, 120.12.0.?, 420.12.0.?, 840.24.0.?, $\ldots$ |
$[(-76, 233)]$ |
| 235950.gt2 |
235950gt2 |
235950.gt |
235950gt |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6635520$ |
$2.390099$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.32654$ |
$[1, 0, 0, -1167713, -465950583]$ |
\(y^2+xy=x^3-1167713x-465950583\) |
2.6.0.a.1, 120.12.0.?, 132.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 278850.gy2 |
278850gy2 |
278850.gy |
278850gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$2.163883761$ |
$1$ |
|
$8$ |
$9289728$ |
$2.473625$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.34884$ |
$[1, 0, 0, -1630938, 768819492]$ |
\(y^2+xy=x^3-1630938x+768819492\) |
2.6.0.a.1, 120.12.0.?, 156.12.0.?, 220.12.0.?, 264.12.0.?, $\ldots$ |
$[(512, 7994)]$ |
| 377520.dz2 |
377520dz2 |
377520.dz |
377520dz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$3.325501270$ |
$1$ |
|
$7$ |
$6635520$ |
$2.278526$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.06393$ |
$[0, 1, 0, -747336, 238267764]$ |
\(y^2=x^3+x^2-747336x+238267764\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 88.12.0.?, 120.12.0.?, 660.12.0.?, $\ldots$ |
$[(606, 2880)]$ |
| 411840.ba2 |
411840ba2 |
411840.ba |
411840ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3538944$ |
$1.975458$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.75527$ |
$[0, 0, 0, -222348, -38707472]$ |
\(y^2=x^3-222348x-38707472\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 1144.12.0.?, $\ldots$ |
$[]$ |
| 411840.ga2 |
411840ga2 |
411840.ga |
411840ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3538944$ |
$1.975458$ |
$6361447449889/294465600$ |
$0.89636$ |
$3.75527$ |
$[0, 0, 0, -222348, 38707472]$ |
\(y^2=x^3-222348x+38707472\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 1144.12.0.?, $\ldots$ |
$[]$ |
| 446160.hc2 |
446160hc2 |
446160.hc |
446160hc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$9.546858245$ |
$1$ |
|
$3$ |
$9289728$ |
$2.362053$ |
$6361447449889/294465600$ |
$0.89636$ |
$4.08879$ |
$[0, 1, 0, -1043800, -394053100]$ |
\(y^2=x^3+x^2-1043800x-394053100\) |
2.6.0.a.1, 44.12.0-2.a.1.1, 104.12.0.?, 120.12.0.?, 780.12.0.?, $\ldots$ |
$[(203558/11, 68049216/11)]$ |
