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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
6930.n1 |
6930e4 |
6930.n |
6930e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4620$ |
$96$ |
$1$ |
$2.446029809$ |
$1$ |
|
$2$ |
$41472$ |
$1.574360$ |
$382704614800227/27778076480$ |
$[1, -1, 0, -40839, -2960515]$ |
\(y^2+xy=x^3-x^2-40839x-2960515\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.r.1.8, 924.48.0.?, $\ldots$ |
$[(334, 4369)]$ |
6930.ba2 |
6930t2 |
6930.ba |
6930t |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$13824$ |
$1.025055$ |
$382704614800227/27778076480$ |
$[1, -1, 1, -4538, 111161]$ |
\(y^2+xy+y=x^3-x^2-4538x+111161\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.r.1.16, 924.48.0.?, $\ldots$ |
$[]$ |
34650.m2 |
34650b2 |
34650.m |
34650b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$0.342250324$ |
$1$ |
|
$32$ |
$331776$ |
$1.829773$ |
$382704614800227/27778076480$ |
$[1, -1, 0, -113442, 13781716]$ |
\(y^2+xy=x^3-x^2-113442x+13781716\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 15.8.0-3.a.1.2, $\ldots$ |
$[(249, 838), (524, 9638)]$ |
34650.co1 |
34650ck4 |
34650.co |
34650ck |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$995328$ |
$2.379078$ |
$382704614800227/27778076480$ |
$[1, -1, 1, -1020980, -371085353]$ |
\(y^2+xy+y=x^3-x^2-1020980x-371085353\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
48510.e1 |
48510c4 |
48510.e |
48510c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1990656$ |
$2.547318$ |
$382704614800227/27778076480$ |
$[1, -1, 0, -2001120, 1019458880]$ |
\(y^2+xy=x^3-x^2-2001120x+1019458880\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[]$ |
48510.dv2 |
48510ci2 |
48510.dv |
48510ci |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$0.644227370$ |
$1$ |
|
$6$ |
$663552$ |
$1.998011$ |
$382704614800227/27778076480$ |
$[1, -1, 1, -222347, -37683621]$ |
\(y^2+xy+y=x^3-x^2-222347x-37683621\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[(-271, 1752)]$ |
55440.s2 |
55440bt2 |
55440.s |
55440bt |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.718203$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -72603, -7041718]$ |
\(y^2=x^3-72603x-7041718\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$ |
$[]$ |
55440.dp1 |
55440ch4 |
55440.dp |
55440ch |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$2.267509$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -653427, 190126386]$ |
\(y^2=x^3-653427x+190126386\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0-6.a.1.3, $\ldots$ |
$[]$ |
76230.d2 |
76230b2 |
76230.d |
76230b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.224003$ |
$382704614800227/27778076480$ |
$[1, -1, 0, -549060, -146308464]$ |
\(y^2+xy=x^3-x^2-549060x-146308464\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.r.1, $\ldots$ |
$[]$ |
76230.ed1 |
76230cz4 |
76230.ed |
76230cz |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4976640$ |
$2.773308$ |
$382704614800227/27778076480$ |
$[1, -1, 1, -4941542, 3955270069]$ |
\(y^2+xy+y=x^3-x^2-4941542x+3955270069\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.r.1, $\ldots$ |
$[]$ |
221760.l1 |
221760hj4 |
221760.l |
221760hj |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{24} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.614082$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -2613708, 1521011088]$ |
\(y^2=x^3-2613708x+1521011088\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.r.1, $\ldots$ |
$[]$ |
221760.fh1 |
221760ni4 |
221760.fh |
221760ni |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{24} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$2.153964773$ |
$1$ |
|
$7$ |
$7962624$ |
$2.614082$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -2613708, -1521011088]$ |
\(y^2=x^3-2613708x-1521011088\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.r.1, $\ldots$ |
$[(-786, 6912)]$ |
221760.ja2 |
221760gg2 |
221760.ja |
221760gg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{24} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$2.064774$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -290412, -56333744]$ |
\(y^2=x^3-290412x-56333744\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.r.1, $\ldots$ |
$[]$ |
221760.lj2 |
221760ms2 |
221760.lj |
221760ms |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{24} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$4.020733117$ |
$1$ |
|
$1$ |
$2654208$ |
$2.064774$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -290412, 56333744]$ |
\(y^2=x^3-290412x+56333744\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.r.1, $\ldots$ |
$[(1846/3, 62720/3)]$ |
242550.gv2 |
242550gv2 |
242550.gv |
242550gv |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1.348653907$ |
$1$ |
|
$6$ |
$15925248$ |
$2.802727$ |
$382704614800227/27778076480$ |
$[1, -1, 0, -5558667, -4716011259]$ |
\(y^2+xy=x^3-x^2-5558667x-4716011259\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$ |
$[(-1202, 15693)]$ |
242550.jz1 |
242550jz4 |
242550.jz |
242550jz |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{7} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1.514782032$ |
$1$ |
|
$6$ |
$47775744$ |
$3.352036$ |
$382704614800227/27778076480$ |
$[1, -1, 1, -50028005, 127382331997]$ |
\(y^2+xy+y=x^3-x^2-50028005x+127382331997\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$ |
$[(1549, 230750)]$ |
277200.ic2 |
277200ic2 |
277200.ic |
277200ic |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$3.504378890$ |
$1$ |
|
$3$ |
$7962624$ |
$2.522923$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -1815075, -880214750]$ |
\(y^2=x^3-1815075x-880214750\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 60.48.0-60.r.1.9, 924.48.0.?, $\ldots$ |
$[(-745, 7650)]$ |
277200.mb1 |
277200mb4 |
277200.mb |
277200mb |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$3.072227$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -16335675, 23765798250]$ |
\(y^2=x^3-16335675x+23765798250\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 60.48.0-60.r.1.1, 924.48.0.?, $\ldots$ |
$[]$ |
381150.gq1 |
381150gq4 |
381150.gq |
381150gq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$5.871650147$ |
$1$ |
|
$2$ |
$119439360$ |
$3.578026$ |
$382704614800227/27778076480$ |
$[1, -1, 0, -123538542, 494285220116]$ |
\(y^2+xy=x^3-x^2-123538542x+494285220116\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$ |
$[(-52, 707634)]$ |
381150.pu2 |
381150pu2 |
381150.pu |
381150pu |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$39813120$ |
$3.028721$ |
$382704614800227/27778076480$ |
$[1, -1, 1, -13726505, -18302284503]$ |
\(y^2+xy+y=x^3-x^2-13726505x-18302284503\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$ |
$[]$ |
388080.fj1 |
388080fj4 |
388080.fj |
388080fj |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$47775744$ |
$3.240463$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -32017923, -65213350398]$ |
\(y^2=x^3-32017923x-65213350398\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$ |
$[]$ |
388080.ik2 |
388080ik2 |
388080.ik |
388080ik |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$15925248$ |
$2.691158$ |
$382704614800227/27778076480$ |
$[0, 0, 0, -3557547, 2415309274]$ |
\(y^2=x^3-3557547x+2415309274\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$ |
$[]$ |