| 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 |
| 58080.a1 |
58080bf2 |
58080.a |
58080bf |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2027520$ |
$2.556259$ |
$1546408574144/455625$ |
$1.16637$ |
$5.28423$ |
$[0, -1, 0, -5130561, 4473535761]$ |
\(y^2=x^3-x^2-5130561x+4473535761\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.bv.1, 44.12.0.l.1, $\ldots$ |
$[]$ |
| 58080.a2 |
58080bf1 |
58080.a |
58080bf |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1013760$ |
$2.209686$ |
$-15926924096/13286025$ |
$1.06016$ |
$4.56935$ |
$[0, -1, 0, -279066, 88754580]$ |
\(y^2=x^3-x^2-279066x+88754580\) |
2.3.0.a.1, 4.6.0.e.1, 22.6.0.a.1, 24.12.0.bq.1, 40.12.0.bs.1, $\ldots$ |
$[]$ |
| 58080.b1 |
58080bj1 |
58080.b |
58080bj |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{13} \cdot 5^{5} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$9.317706103$ |
$1$ |
|
$0$ |
$648960$ |
$2.011589$ |
$689102501118152/4982259375$ |
$1.03729$ |
$4.55773$ |
$[0, -1, 0, -360136, 82784440]$ |
\(y^2=x^3-x^2-360136x+82784440\) |
120.2.0.? |
$[(15429/7, 243986/7)]$ |
| 58080.c1 |
58080bk1 |
58080.c |
58080bk |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{15} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.180218981$ |
$1$ |
|
$2$ |
$1198080$ |
$2.354351$ |
$-510585996566086144/5605041796875$ |
$1.05183$ |
$4.91420$ |
$[0, -1, 0, -1317741, 588163941]$ |
\(y^2=x^3-x^2-1317741x+588163941\) |
6.2.0.a.1 |
$[(-889, 32500)]$ |
| 58080.d1 |
58080bi1 |
58080.d |
58080bi |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.479142625$ |
$1$ |
|
$2$ |
$20736$ |
$0.314541$ |
$18073352/3375$ |
$0.86077$ |
$2.52918$ |
$[0, -1, 0, -216, 1080]$ |
\(y^2=x^3-x^2-216x+1080\) |
120.2.0.? |
$[(5, 10)]$ |
| 58080.e1 |
58080bh4 |
58080.e |
58080bh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.167622510$ |
$1$ |
|
$5$ |
$81920$ |
$1.035679$ |
$14526784/15$ |
$1.00337$ |
$3.57321$ |
$[0, -1, 0, -9841, 378721]$ |
\(y^2=x^3-x^2-9841x+378721\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0.bb.1, 60.12.0.h.1, $\ldots$ |
$[(15, 484)]$ |
| 58080.e2 |
58080bh3 |
58080.e |
58080bh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.670490043$ |
$1$ |
|
$3$ |
$81920$ |
$1.035679$ |
$38614472/405$ |
$1.12730$ |
$3.47277$ |
$[0, -1, 0, -6816, -212364]$ |
\(y^2=x^3-x^2-6816x-212364\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0.v.1, 88.12.0.?, $\ldots$ |
$[(273, 4266)]$ |
| 58080.e3 |
58080bh1 |
58080.e |
58080bh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$2.335245021$ |
$1$ |
|
$7$ |
$40960$ |
$0.689106$ |
$438976/225$ |
$1.06534$ |
$2.87508$ |
$[0, -1, 0, -766, 3016]$ |
\(y^2=x^3-x^2-766x+3016\) |
2.6.0.a.1, 24.12.0.a.1, 40.12.0.a.1, 60.12.0.a.1, 88.12.0.?, $\ldots$ |
$[(31, 90)]$ |
| 58080.e4 |
58080bh2 |
58080.e |
58080bh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.670490043$ |
$1$ |
|
$1$ |
$81920$ |
$1.035679$ |
$2863288/1875$ |
$0.98987$ |
$3.23560$ |
$[0, -1, 0, 2864, 20440]$ |
\(y^2=x^3-x^2+2864x+20440\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0.bb.1, 88.12.0.?, $\ldots$ |
$[(37/3, 4850/3)]$ |
| 58080.f1 |
58080bg4 |
58080.f |
58080bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1320$ |
$48$ |
$0$ |
$12.06065623$ |
$1$ |
|
$1$ |
$368640$ |
$1.834461$ |
$6922005943112/185625$ |
$1.02720$ |
$4.57551$ |
$[0, -1, 0, -384336, -91579464]$ |
\(y^2=x^3-x^2-384336x-91579464\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 132.12.0.?, $\ldots$ |
$[(804229/13, 714691050/13)]$ |
| 58080.f2 |
58080bg3 |
58080.f |
58080bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1320$ |
$48$ |
$0$ |
$3.015164059$ |
$1$ |
|
$3$ |
$368640$ |
$1.834461$ |
$18483505984/1976535$ |
$1.01683$ |
$4.22489$ |
$[0, -1, 0, -106641, 12137985]$ |
\(y^2=x^3-x^2-106641x+12137985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(136, 363)]$ |
| 58080.f3 |
58080bg1 |
58080.f |
58080bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$6.030328119$ |
$1$ |
|
$5$ |
$184320$ |
$1.487886$ |
$15179306176/2205225$ |
$1.13395$ |
$3.82781$ |
$[0, -1, 0, -24966, -1305720]$ |
\(y^2=x^3-x^2-24966x-1305720\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 120.24.0.?, 132.12.0.?, $\ldots$ |
$[(4743, 326430)]$ |
| 58080.f4 |
58080bg2 |
58080.f |
58080bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5 \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1320$ |
$48$ |
$0$ |
$12.06065623$ |
$1$ |
|
$1$ |
$368640$ |
$1.834461$ |
$8767302328/29229255$ |
$0.94319$ |
$4.10959$ |
$[0, -1, 0, 41584, -7135500]$ |
\(y^2=x^3-x^2+41584x-7135500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 220.12.0.?, $\ldots$ |
$[(4555361/31, 9730282302/31)]$ |
| 58080.g1 |
58080b4 |
58080.g |
58080b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.763498$ |
$5468520153032/22275$ |
$1.02592$ |
$4.55402$ |
$[0, -1, 0, -355296, 81632520]$ |
\(y^2=x^3-x^2-355296x+81632520\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.3, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 58080.g2 |
58080b3 |
58080.g |
58080b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.763498$ |
$4775581504/1098075$ |
$0.90824$ |
$4.10152$ |
$[0, -1, 0, -67921, -5266655]$ |
\(y^2=x^3-x^2-67921x-5266655\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[]$ |
| 58080.g3 |
58080b1 |
58080.g |
58080b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$122880$ |
$1.416925$ |
$11179320256/680625$ |
$0.90955$ |
$3.79993$ |
$[0, -1, 0, -22546, 1240120]$ |
\(y^2=x^3-x^2-22546x+1240120\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.3, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 58080.g4 |
58080b2 |
58080.g |
58080b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.763498$ |
$640503928/12890625$ |
$0.95701$ |
$4.04968$ |
$[0, -1, 0, 17384, 5121316]$ |
\(y^2=x^3-x^2+17384x+5121316\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.11, 88.24.0.?, $\ldots$ |
$[]$ |
| 58080.h1 |
58080c1 |
58080.h |
58080c |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$228096$ |
$1.513489$ |
$18073352/3375$ |
$0.86077$ |
$3.84075$ |
$[0, -1, 0, -26176, -1332824]$ |
\(y^2=x^3-x^2-26176x-1332824\) |
120.2.0.? |
$[]$ |
| 58080.i1 |
58080e1 |
58080.i |
58080e |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{15} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$13178880$ |
$3.553299$ |
$-510585996566086144/5605041796875$ |
$1.05183$ |
$6.22577$ |
$[0, -1, 0, -159446701, -782208418715]$ |
\(y^2=x^3-x^2-159446701x-782208418715\) |
6.2.0.a.1 |
$[]$ |
| 58080.j1 |
58080d1 |
58080.j |
58080d |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{13} \cdot 5^{5} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$7138560$ |
$3.210537$ |
$689102501118152/4982259375$ |
$1.03729$ |
$5.86930$ |
$[0, -1, 0, -43576496, -110011783704]$ |
\(y^2=x^3-x^2-43576496x-110011783704\) |
120.2.0.? |
$[]$ |
| 58080.k1 |
58080f4 |
58080.k |
58080f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.764587$ |
$1261112198464/675$ |
$1.05532$ |
$4.60985$ |
$[0, -1, 0, -435761, -110573439]$ |
\(y^2=x^3-x^2-435761x-110573439\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[]$ |
| 58080.k2 |
58080f3 |
58080.k |
58080f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.764587$ |
$26410345352/10546875$ |
$1.03973$ |
$4.06786$ |
$[0, -1, 0, -60056, 3173700]$ |
\(y^2=x^3-x^2-60056x+3173700\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 58080.k3 |
58080f1 |
58080.k |
58080f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$245760$ |
$1.418015$ |
$20034997696/455625$ |
$1.03014$ |
$3.85311$ |
$[0, -1, 0, -27386, -1700664]$ |
\(y^2=x^3-x^2-27386x-1700664\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 58080.k4 |
58080f2 |
58080.k |
58080f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.764587$ |
$2863288/13286025$ |
$1.17383$ |
$4.05508$ |
$[0, -1, 0, 2864, -5282264]$ |
\(y^2=x^3-x^2+2864x-5282264\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 58080.l1 |
58080a2 |
58080.l |
58080a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$2.291332311$ |
$1$ |
|
$5$ |
$184320$ |
$1.357311$ |
$1546408574144/455625$ |
$1.16637$ |
$3.97266$ |
$[0, -1, 0, -42401, -3345615]$ |
\(y^2=x^3-x^2-42401x-3345615\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.bv.1, 44.12.0.l.1, $\ldots$ |
$[(-119, 28)]$ |
| 58080.l2 |
58080a1 |
58080.l |
58080a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$4.582664622$ |
$1$ |
|
$3$ |
$92160$ |
$1.010736$ |
$-15926924096/13286025$ |
$1.06016$ |
$3.25778$ |
$[0, -1, 0, -2306, -65844]$ |
\(y^2=x^3-x^2-2306x-65844\) |
2.3.0.a.1, 4.6.0.e.1, 22.6.0.a.1, 24.12.0.bq.1, 40.12.0.bs.1, $\ldots$ |
$[(108, 966)]$ |
| 58080.m1 |
58080o1 |
58080.m |
58080o |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.376396697$ |
$1$ |
|
$6$ |
$709632$ |
$1.785467$ |
$-1931776/16875$ |
$0.91616$ |
$4.07977$ |
$[0, -1, 0, -24845, 6055557]$ |
\(y^2=x^3-x^2-24845x+6055557\) |
6.2.0.a.1 |
$[(-161, 2420)]$ |
| 58080.n1 |
58080bs2 |
58080.n |
58080bs |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 11^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$3.476526023$ |
$1$ |
|
$13$ |
$1105920$ |
$2.205109$ |
$157079401546816/408375$ |
$0.98784$ |
$5.04969$ |
$[0, -1, 0, -2176225, 1236396625]$ |
\(y^2=x^3-x^2-2176225x+1236396625\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? |
$[(840, 605), (855, 140)]$ |
| 58080.n2 |
58080bs1 |
58080.n |
58080bs |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$0.869131505$ |
$1$ |
|
$21$ |
$552960$ |
$1.858536$ |
$-2365396076224/125296875$ |
$0.96041$ |
$4.29605$ |
$[0, -1, 0, -134350, 19847500]$ |
\(y^2=x^3-x^2-134350x+19847500\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? |
$[(-150, 6050), (180, 1210)]$ |
| 58080.o1 |
58080br4 |
58080.o |
58080br |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{4} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$184320$ |
$1.433115$ |
$10105715528/20625$ |
$0.90093$ |
$3.98029$ |
$[0, -1, 0, -43600, 3512500]$ |
\(y^2=x^3-x^2-43600x+3512500\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 264.24.0.?, 440.24.0.?, $\ldots$ |
$[]$ |
| 58080.o2 |
58080br3 |
58080.o |
58080br |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.433115$ |
$768575296/4455$ |
$0.94232$ |
$3.93499$ |
$[0, -1, 0, -36945, -2707263]$ |
\(y^2=x^3-x^2-36945x-2707263\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 220.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 58080.o3 |
58080br1 |
58080.o |
58080br |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$92160$ |
$1.086542$ |
$48228544/27225$ |
$1.02963$ |
$3.30347$ |
$[0, -1, 0, -3670, 14632]$ |
\(y^2=x^3-x^2-3670x+14632\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 220.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 58080.o4 |
58080br2 |
58080.o |
58080br |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5 \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$184320$ |
$1.433115$ |
$370146232/219615$ |
$0.94680$ |
$3.67882$ |
$[0, -1, 0, 14480, 101752]$ |
\(y^2=x^3-x^2+14480x+101752\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
| 58080.p1 |
58080h2 |
58080.p |
58080h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{3} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1216512$ |
$2.346306$ |
$4707843776/820125$ |
$0.96233$ |
$4.75600$ |
$[0, -1, 0, -743585, 206584017]$ |
\(y^2=x^3-x^2-743585x+206584017\) |
2.3.0.a.1, 20.6.0.e.1, 44.6.0.c.1, 220.12.0.? |
$[]$ |
| 58080.p2 |
58080h1 |
58080.p |
58080h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$608256$ |
$1.999733$ |
$504358336/1265625$ |
$0.97769$ |
$4.28308$ |
$[0, -1, 0, 88290, 18413892]$ |
\(y^2=x^3-x^2+88290x+18413892\) |
2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.? |
$[]$ |
| 58080.q1 |
58080bm2 |
58080.q |
58080bm |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$3.914502601$ |
$1$ |
|
$3$ |
$36864$ |
$0.633487$ |
$367061696/45$ |
$1.11709$ |
$3.21184$ |
$[0, -1, 0, -2625, -50895]$ |
\(y^2=x^3-x^2-2625x-50895\) |
2.3.0.a.1, 20.6.0.e.1, 44.6.0.c.1, 220.12.0.? |
$[(71, 340)]$ |
| 58080.q2 |
58080bm1 |
58080.q |
58080bm |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.957251300$ |
$1$ |
|
$5$ |
$18432$ |
$0.286913$ |
$-4410944/2025$ |
$0.86960$ |
$2.48289$ |
$[0, -1, 0, -150, -900]$ |
\(y^2=x^3-x^2-150x-900\) |
2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.? |
$[(26, 110)]$ |
| 58080.r1 |
58080k2 |
58080.r |
58080k |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{4} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.740458435$ |
$1$ |
|
$5$ |
$7372800$ |
$3.209267$ |
$14254800421166387776/269055826875$ |
$1.05954$ |
$6.09037$ |
$[0, -1, 0, -97795265, 372268086225]$ |
\(y^2=x^3-x^2-97795265x+372268086225\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(5680, 3025)]$ |
| 58080.r2 |
58080k1 |
58080.r |
58080k |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{8} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.370229217$ |
$1$ |
|
$7$ |
$3686400$ |
$2.862694$ |
$-201440287521417664/30700866796875$ |
$1.04820$ |
$5.34426$ |
$[0, -1, 0, -5910890, 6219113100]$ |
\(y^2=x^3-x^2-5910890x+6219113100\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(-2570, 66550)]$ |
| 58080.s1 |
58080l2 |
58080.s |
58080l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.906862644$ |
$1$ |
|
$5$ |
$245760$ |
$1.491844$ |
$1544804416/9075$ |
$1.12972$ |
$3.99863$ |
$[0, -1, 0, -46625, -3839823]$ |
\(y^2=x^3-x^2-46625x-3839823\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(-128, 121)]$ |
| 58080.s2 |
58080l1 |
58080.s |
58080l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.953431322$ |
$1$ |
|
$9$ |
$122880$ |
$1.145271$ |
$-1906624/61875$ |
$1.00136$ |
$3.37766$ |
$[0, -1, 0, -1250, -128148]$ |
\(y^2=x^3-x^2-1250x-128148\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(92, 726)]$ |
| 58080.t1 |
58080bq1 |
58080.t |
58080bq |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$295680$ |
$1.721674$ |
$1391566088/10935$ |
$0.91201$ |
$4.23673$ |
$[0, -1, 0, -111360, -14168988]$ |
\(y^2=x^3-x^2-111360x-14168988\) |
120.2.0.? |
$[]$ |
| 58080.u1 |
58080bo4 |
58080.u |
58080bo |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$92160$ |
$1.074751$ |
$890277128/15$ |
$0.98337$ |
$3.75883$ |
$[0, -1, 0, -19400, 1046520]$ |
\(y^2=x^3-x^2-19400x+1046520\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.ba.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 58080.u2 |
58080bo3 |
58080.u |
58080bo |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.074751$ |
$14172488/1875$ |
$1.11851$ |
$3.38140$ |
$[0, -1, 0, -4880, -113628]$ |
\(y^2=x^3-x^2-4880x-113628\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.ba.1, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 58080.u3 |
58080bo1 |
58080.u |
58080bo |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$46080$ |
$0.728177$ |
$1906624/225$ |
$0.92155$ |
$3.00897$ |
$[0, -1, 0, -1250, 15600]$ |
\(y^2=x^3-x^2-1250x+15600\) |
2.6.0.a.1, 20.12.0.a.1, 24.12.0.b.1, 44.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 58080.u4 |
58080bo2 |
58080.u |
58080bo |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 5 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.074751$ |
$85184/405$ |
$1.20074$ |
$3.28490$ |
$[0, -1, 0, 1775, 76705]$ |
\(y^2=x^3-x^2+1775x+76705\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0.y.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 58080.v1 |
58080bn4 |
58080.v |
58080bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{16} \cdot 5^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$14745600$ |
$3.698311$ |
$151020262560470148771848/35809491031875$ |
$1.05664$ |
$6.74569$ |
$[0, -1, 0, -1073937960, -13545821173608]$ |
\(y^2=x^3-x^2-1073937960x-13545821173608\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 88.48.0.? |
$[]$ |
| 58080.v2 |
58080bn3 |
58080.v |
58080bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{16} \cdot 11^{9} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.54 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$14745600$ |
$3.698311$ |
$35529391776305786176/16450653076171875$ |
$1.06542$ |
$6.17362$ |
$[0, -1, 0, -132594865, 262801564225]$ |
\(y^2=x^3-x^2-132594865x+262801564225\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 44.24.0-44.h.1.2, 88.48.0.? |
$[]$ |
| 58080.v3 |
58080bn1 |
58080.v |
58080bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$88$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$7372800$ |
$3.351738$ |
$298244193811346574784/4540317078515625$ |
$1.05063$ |
$5.98844$ |
$[0, -1, 0, -67369210, -209993118608]$ |
\(y^2=x^3-x^2-67369210x-209993118608\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 44.24.0-44.a.1.1, 88.48.0.? |
$[]$ |
| 58080.v4 |
58080bn2 |
58080.v |
58080bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{4} \cdot 11^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14745600$ |
$3.698311$ |
$-27851742625371848/158882936571500625$ |
$1.11843$ |
$6.17047$ |
$[0, -1, 0, -6112960, -577604126108]$ |
\(y^2=x^3-x^2-6112960x-577604126108\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 44.12.0-4.c.1.2, 88.48.0.? |
$[]$ |
