| 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 |
| 2445.c1 |
2445c3 |
2445.c |
2445c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 163 \) |
\( 3^{5} \cdot 5 \cdot 163^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$19560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$1.077246$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.89489$ |
$2$ |
$[1, 0, 1, -7034, 222041]$ |
\(y^2+xy+y=x^3-7034x+222041\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 60.24.0-60.h.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 7335.c1 |
7335c3 |
7335.c |
7335c |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 163 \) |
\( 3^{11} \cdot 5 \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$19560$ |
$48$ |
$0$ |
$10.08141573$ |
$1$ |
|
$0$ |
$30720$ |
$1.626553$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$5.03130$ |
$2$ |
$[1, -1, 1, -63302, -5995114]$ |
\(y^2+xy+y=x^3-x^2-63302x-5995114\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 3912.24.0.?, 6520.24.0.?, $\ldots$ |
$[(-31121/14, 722189/14)]$ |
$1$ |
| 12225.d1 |
12225b3 |
12225.d |
12225b |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 163 \) |
\( 3^{5} \cdot 5^{7} \cdot 163^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$92160$ |
$1.881966$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$5.08387$ |
$1$ |
$[1, 1, 1, -175838, 27755156]$ |
\(y^2+xy+y=x^3+x^2-175838x+27755156\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 3912.24.0.?, 6520.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 36675.i1 |
36675f4 |
36675.i |
36675f |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 163 \) |
\( 3^{11} \cdot 5^{7} \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19560$ |
$48$ |
$0$ |
$6.301775552$ |
$1$ |
|
$0$ |
$737280$ |
$2.431271$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$5.17964$ |
$2$ |
$[1, -1, 0, -1582542, -750971759]$ |
\(y^2+xy=x^3-x^2-1582542x-750971759\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$ |
$[(1427561/8, 1697146681/8)]$ |
$1$ |
| 39120.f1 |
39120v4 |
39120.f |
39120v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 163 \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19560$ |
$48$ |
$0$ |
$9.195831903$ |
$1$ |
|
$1$ |
$245760$ |
$1.770393$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.39805$ |
$2$ |
$[0, -1, 0, -112536, -14210640]$ |
\(y^2=x^3-x^2-112536x-14210640\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$ |
$[(-25934/11, 176058/11)]$ |
$1$ |
| 117360.bo1 |
117360bx4 |
117360.bo |
117360bx |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 163 \) |
\( 2^{12} \cdot 3^{11} \cdot 5 \cdot 163^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19560$ |
$48$ |
$0$ |
$14.77798569$ |
$1$ |
|
$3$ |
$1966080$ |
$2.319698$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.54882$ |
$1$ |
$[0, 0, 0, -1012827, 384700106]$ |
\(y^2=x^3-1012827x+384700106\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 3912.24.0.?, 6520.24.0.?, $\ldots$ |
$[(6045199/87, 6079806550/87)]$ |
$1$ |
| 119805.k1 |
119805h4 |
119805.k |
119805h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 163 \) |
\( 3^{5} \cdot 5 \cdot 7^{6} \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$136920$ |
$48$ |
$0$ |
$16.42832832$ |
$1$ |
|
$0$ |
$1474560$ |
$2.050201$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.26424$ |
$2$ |
$[1, 1, 0, -344642, -76504791]$ |
\(y^2+xy=x^3+x^2-344642x-76504791\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0.h.1, 84.12.0.?, 140.12.0.?, $\ldots$ |
$[(-15536885/222, -8869451681/222)]$ |
$1$ |
| 156480.bi1 |
156480cy3 |
156480.bi |
156480cy |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 163 \) |
\( 2^{18} \cdot 3^{5} \cdot 5 \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19560$ |
$48$ |
$0$ |
$5.531078200$ |
$1$ |
|
$1$ |
$1966080$ |
$2.116966$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.23601$ |
$2$ |
$[0, -1, 0, -450145, 114135265]$ |
\(y^2=x^3-x^2-450145x+114135265\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.2, 60.12.0.h.1, $\ldots$ |
$[(57529/15, 13368608/15)]$ |
$1$ |
| 156480.de1 |
156480g4 |
156480.de |
156480g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 163 \) |
\( 2^{18} \cdot 3^{5} \cdot 5 \cdot 163^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19560$ |
$48$ |
$0$ |
$17.05131004$ |
$1$ |
|
$9$ |
$1966080$ |
$2.116966$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.23601$ |
$2$ |
$[0, 1, 0, -450145, -114135265]$ |
\(y^2=x^3+x^2-450145x-114135265\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.1, 60.12.0.h.1, $\ldots$ |
$[(-427, 636), (-382, 1491)]$ |
$1$ |
| 195600.cv1 |
195600x4 |
195600.cv |
195600x |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 163 \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{7} \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$19560$ |
$48$ |
$0$ |
$4.795306294$ |
$1$ |
|
$3$ |
$5898240$ |
$2.575111$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.60966$ |
$2$ |
$[0, 1, 0, -2813408, -1781956812]$ |
\(y^2=x^3+x^2-2813408x-1781956812\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 3912.24.0.?, 6520.24.0.?, $\ldots$ |
$[(1948, 11550)]$ |
$1$ |
| 295845.f1 |
295845f4 |
295845.f |
295845f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 163 \) |
\( 3^{5} \cdot 5 \cdot 11^{6} \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$215160$ |
$48$ |
$0$ |
$3.737455466$ |
$1$ |
|
$0$ |
$4915200$ |
$2.276192$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.17352$ |
$2$ |
$[1, 0, 0, -851056, -296387959]$ |
\(y^2+xy=x^3-851056x-296387959\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0.h.1, 132.12.0.?, 220.12.0.?, $\ldots$ |
$[(-1885/2, 4063/2)]$ |
$1$ |
| 359415.j1 |
359415j3 |
359415.j |
359415j |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 163 \) |
\( 3^{11} \cdot 5 \cdot 7^{6} \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$136920$ |
$48$ |
$0$ |
$2.343120643$ |
$1$ |
|
$6$ |
$11796480$ |
$2.599506$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.41331$ |
$2$ |
$[1, -1, 1, -3101783, 2062527576]$ |
\(y^2+xy+y=x^3-x^2-3101783x+2062527576\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 60.12.0.h.1, 420.24.0.?, $\ldots$ |
$[(1136, 1416)]$ |
$1$ |
| 398535.c1 |
398535c4 |
398535.c |
398535c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 163^{2} \) |
\( 3^{5} \cdot 5 \cdot 163^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$19560$ |
$48$ |
$0$ |
$91.31944204$ |
$1$ |
|
$0$ |
$102021120$ |
$3.624123$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$5.33141$ |
$2$ |
$[1, 1, 1, -186873615, -964220705418]$ |
\(y^2+xy+y=x^3+x^2-186873615x-964220705418\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(-5679974891059201001746986165245600024585/834438984133810254, 79108373395088581539627719781452181384282762415319118411709/834438984133810254)]$ |
$1$ |
| 413205.d1 |
413205d3 |
413205.d |
413205d |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13^{2} \cdot 163 \) |
\( 3^{5} \cdot 5 \cdot 13^{6} \cdot 163^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$254280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8847360$ |
$2.359722$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.14320$ |
$2$ |
$[1, 0, 0, -1188665, 489013290]$ |
\(y^2+xy=x^3-1188665x+489013290\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0.h.1, 156.12.0.?, 260.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 469440.bj1 |
469440bj4 |
469440.bj |
469440bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) |
\( 2^{18} \cdot 3^{11} \cdot 5 \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$19560$ |
$48$ |
$0$ |
$3.108021458$ |
$1$ |
|
$3$ |
$15728640$ |
$2.666271$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.38441$ |
$2$ |
$[0, 0, 0, -4051308, -3077600848]$ |
\(y^2=x^3-4051308x-3077600848\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(10933, 1122255)]$ |
$1$ |
| 469440.bn1 |
469440bn3 |
469440.bn |
469440bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) |
\( 2^{18} \cdot 3^{11} \cdot 5 \cdot 163^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$19560$ |
$48$ |
$0$ |
$25.12427369$ |
$1$ |
|
$1$ |
$15728640$ |
$2.666271$ |
$38480618749557529/857682789615$ |
$0.94763$ |
$4.38441$ |
$2$ |
$[0, 0, 0, -4051308, 3077600848]$ |
\(y^2=x^3-4051308x+3077600848\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(176711657904/9545, 43624858178708708/9545)]$ |
$1$ |
