| 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 |
| 2400.a1 |
2400v2 |
2400.a |
2400v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.370359$ |
$1261112198464/675$ |
$1.05532$ |
$5.88926$ |
$2$ |
$[0, -1, 0, -90033, -10368063]$ |
\(y^2=x^3-x^2-90033x-10368063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 20.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.a2 |
2400v3 |
2400.a |
2400v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.370359$ |
$26410345352/10546875$ |
$1.03973$ |
$5.12538$ |
$2$ |
$[0, -1, 0, -12408, 300312]$ |
\(y^2=x^3-x^2-12408x+300312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.a3 |
2400v1 |
2400.a |
2400v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$1.023787$ |
$20034997696/455625$ |
$1.03014$ |
$4.82271$ |
$1$ |
$[0, -1, 0, -5658, -158688]$ |
\(y^2=x^3-x^2-5658x-158688\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.a4 |
2400v4 |
2400.a |
2400v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.370359$ |
$2863288/13286025$ |
$1.17383$ |
$5.10737$ |
$2$ |
$[0, -1, 0, 592, -496188]$ |
\(y^2=x^3-x^2+592x-496188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 24.24.0.n.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.b1 |
2400d2 |
2400.b |
2400d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.109 |
2B |
$240$ |
$192$ |
$3$ |
$5.501043185$ |
$1$ |
|
$1$ |
$3072$ |
$0.897038$ |
$23937672968/45$ |
$1.01090$ |
$5.11275$ |
$2$ |
$[0, -1, 0, -12008, -502488]$ |
\(y^2=x^3-x^2-12008x-502488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 20.12.0-4.c.1.1, 40.48.0-40.by.1.6, $\ldots$ |
$[(973/2, 26425/2)]$ |
$1$ |
| 2400.b2 |
2400d3 |
2400.b |
2400d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.113 |
2B |
$240$ |
$192$ |
$3$ |
$1.375260796$ |
$1$ |
|
$7$ |
$3072$ |
$0.897038$ |
$111980168/32805$ |
$0.98174$ |
$4.42346$ |
$2$ |
$[0, -1, 0, -2008, 25012]$ |
\(y^2=x^3-x^2-2008x+25012\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 20.12.0-4.c.1.2, 40.48.0-40.by.1.8, $\ldots$ |
$[(12, 50)]$ |
$1$ |
| 2400.b3 |
2400d1 |
2400.b |
2400d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.30 |
2Cs |
$240$ |
$192$ |
$3$ |
$2.750521592$ |
$1$ |
|
$7$ |
$1536$ |
$0.550465$ |
$48228544/2025$ |
$1.02099$ |
$4.04806$ |
$1$ |
$[0, -1, 0, -758, -7488]$ |
\(y^2=x^3-x^2-758x-7488\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.4, 20.24.0-4.a.1.1, 24.48.0-24.j.1.6, $\ldots$ |
$[(-17, 14)]$ |
$1$ |
| 2400.b4 |
2400d4 |
2400.b |
2400d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.73 |
2B |
$240$ |
$192$ |
$3$ |
$1.375260796$ |
$1$ |
|
$5$ |
$3072$ |
$0.897038$ |
$85184/5625$ |
$1.15009$ |
$4.37547$ |
$2$ |
$[0, -1, 0, 367, -28863]$ |
\(y^2=x^3-x^2+367x-28863\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.2, 20.24.0-4.d.1.1, 24.48.0-24.z.1.7, $\ldots$ |
$[(47, 300)]$ |
$1$ |
| 2400.c1 |
2400y2 |
2400.c |
2400y |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.703050583$ |
$1$ |
|
$9$ |
$384$ |
$-0.133183$ |
$195112/9$ |
$0.92060$ |
$2.98693$ |
$1$ |
$[0, -1, 0, -48, -108]$ |
\(y^2=x^3-x^2-48x-108\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[(-4, 2)]$ |
$1$ |
| 2400.c2 |
2400y1 |
2400.c |
2400y |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1.406101167$ |
$1$ |
|
$5$ |
$192$ |
$-0.479756$ |
$64/3$ |
$1.29203$ |
$2.25204$ |
$1$ |
$[0, -1, 0, 2, -8]$ |
\(y^2=x^3-x^2+2x-8\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[(3, 4)]$ |
$1$ |
| 2400.d1 |
2400e2 |
2400.d |
2400e |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.671536$ |
$195112/9$ |
$0.92060$ |
$4.22763$ |
$1$ |
$[0, -1, 0, -1208, 15912]$ |
\(y^2=x^3-x^2-1208x+15912\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[ ]$ |
$1$ |
| 2400.d2 |
2400e1 |
2400.d |
2400e |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$960$ |
$0.324963$ |
$64/3$ |
$1.29203$ |
$3.49273$ |
$1$ |
$[0, -1, 0, 42, 912]$ |
\(y^2=x^3-x^2+42x+912\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[ ]$ |
$1$ |
| 2400.e1 |
2400s1 |
2400.e |
2400s |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.993302$ |
$12800/27$ |
$1.00841$ |
$4.47655$ |
$1$ |
$[0, -1, 0, 1667, 42037]$ |
\(y^2=x^3-x^2+1667x+42037\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 2400.f1 |
2400b1 |
2400.f |
2400b |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.481366420$ |
$1$ |
|
$4$ |
$192$ |
$-0.253030$ |
$-2560/3$ |
$0.82699$ |
$2.63275$ |
$1$ |
$[0, -1, 0, -13, 37]$ |
\(y^2=x^3-x^2-13x+37\) |
6.2.0.a.1 |
$[(3, 4)]$ |
$1$ |
| 2400.g1 |
2400w1 |
2400.g |
2400w |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.508270896$ |
$1$ |
|
$4$ |
$960$ |
$0.551688$ |
$-2560/3$ |
$0.82699$ |
$3.87345$ |
$1$ |
$[0, -1, 0, -333, -3963]$ |
\(y^2=x^3-x^2-333x-3963\) |
6.2.0.a.1 |
$[(23, 4)]$ |
$1$ |
| 2400.h1 |
2400x1 |
2400.h |
2400x |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.444935150$ |
$1$ |
|
$6$ |
$576$ |
$0.188584$ |
$12800/27$ |
$1.00841$ |
$3.23586$ |
$1$ |
$[0, -1, 0, 67, -363]$ |
\(y^2=x^3-x^2+67x-363\) |
6.2.0.a.1 |
$[(7, 20)]$ |
$1$ |
| 2400.i1 |
2400a3 |
2400.i |
2400a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$3.183533955$ |
$1$ |
|
$5$ |
$1536$ |
$0.680522$ |
$890277128/15$ |
$0.98337$ |
$4.68983$ |
$1$ |
$[0, -1, 0, -4008, 99012]$ |
\(y^2=x^3-x^2-4008x+99012\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.13, 40.24.0-40.ba.1.4, 120.48.0.? |
$[(137, 1450)]$ |
$1$ |
| 2400.i2 |
2400a2 |
2400.i |
2400a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$3.183533955$ |
$1$ |
|
$3$ |
$1536$ |
$0.680522$ |
$14172488/1875$ |
$1.11851$ |
$4.15789$ |
$2$ |
$[0, -1, 0, -1008, -10488]$ |
\(y^2=x^3-x^2-1008x-10488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 24.24.0-24.s.1.6, $\ldots$ |
$[(-19, 38)]$ |
$1$ |
| 2400.i3 |
2400a1 |
2400.i |
2400a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1.591766977$ |
$1$ |
|
$9$ |
$768$ |
$0.333948$ |
$1906624/225$ |
$0.92155$ |
$3.63299$ |
$1$ |
$[0, -1, 0, -258, 1512]$ |
\(y^2=x^3-x^2-258x+1512\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 24.24.0-24.b.1.6, 120.48.0.? |
$[(6, 12)]$ |
$1$ |
| 2400.i4 |
2400a4 |
2400.i |
2400a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$0.795883488$ |
$1$ |
|
$7$ |
$1536$ |
$0.680522$ |
$85184/405$ |
$1.20074$ |
$4.02188$ |
$2$ |
$[0, -1, 0, 367, 7137]$ |
\(y^2=x^3-x^2+367x+7137\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 24.24.0-24.y.1.5, 120.48.0.? |
$[(7, 100)]$ |
$1$ |
| 2400.j1 |
2400r3 |
2400.j |
2400r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.641451$ |
$14526784/15$ |
$1.00337$ |
$4.42823$ |
$1$ |
$[0, -1, 0, -2033, 35937]$ |
\(y^2=x^3-x^2-2033x+35937\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 40.24.0-40.bb.1.2, 60.24.0-60.h.1.3, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.j2 |
2400r2 |
2400.j |
2400r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.641451$ |
$38614472/405$ |
$1.12730$ |
$4.28667$ |
$2$ |
$[0, -1, 0, -1408, -19688]$ |
\(y^2=x^3-x^2-1408x-19688\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 40.24.0-40.v.1.1, 120.48.0.? |
$[ ]$ |
$1$ |
| 2400.j3 |
2400r1 |
2400.j |
2400r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.294878$ |
$438976/225$ |
$1.06534$ |
$3.44429$ |
$1$ |
$[0, -1, 0, -158, 312]$ |
\(y^2=x^3-x^2-158x+312\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 40.24.0-40.a.1.4, 60.24.0-60.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.j4 |
2400r4 |
2400.j |
2400r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.641451$ |
$2863288/1875$ |
$0.98987$ |
$3.95240$ |
$2$ |
$[0, -1, 0, 592, 1812]$ |
\(y^2=x^3-x^2+592x+1812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 40.24.0-40.bb.1.5, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.k1 |
2400g1 |
2400.k |
2400g |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10560$ |
$1.453543$ |
$-5624320/177147$ |
$1.12683$ |
$5.23574$ |
$1$ |
$[0, -1, 0, -4333, -815963]$ |
\(y^2=x^3-x^2-4333x-815963\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 2400.l1 |
2400c1 |
2400.l |
2400c |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$60$ |
$60$ |
$3$ |
$3.154513962$ |
$1$ |
|
$2$ |
$960$ |
$0.365477$ |
$-425920000/243$ |
$1.15063$ |
$4.03527$ |
$1$ |
$[0, -1, 0, -733, -7403]$ |
\(y^2=x^3-x^2-733x-7403\) |
5.15.0.a.1, 6.2.0.a.1, 20.30.0.b.1, 30.30.2.b.1, 60.60.3.j.1 |
$[(51, 292)]$ |
$1$ |
| 2400.m1 |
2400f1 |
2400.m |
2400f |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$60$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$4800$ |
$1.170197$ |
$-425920000/243$ |
$1.15063$ |
$5.27596$ |
$1$ |
$[0, -1, 0, -18333, 962037]$ |
\(y^2=x^3-x^2-18333x+962037\) |
5.15.0.a.1, 6.2.0.a.1, 20.30.0.b.1, 30.30.2.b.1, 60.60.3.j.1 |
$[ ]$ |
$1$ |
| 2400.n1 |
2400t1 |
2400.n |
2400t |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2112$ |
$0.648824$ |
$-5624320/177147$ |
$1.12683$ |
$3.99504$ |
$1$ |
$[0, -1, 0, -173, 6597]$ |
\(y^2=x^3-x^2-173x+6597\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 2400.o1 |
2400z1 |
2400.o |
2400z |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$1.229189032$ |
$1$ |
|
$5$ |
$3840$ |
$1.006235$ |
$2156689088/81$ |
$1.10723$ |
$5.15669$ |
$1$ |
$[0, -1, 0, -13458, 605412]$ |
\(y^2=x^3-x^2-13458x+605412\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bc.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ |
$[(66, 18)]$ |
$1$ |
| 2400.o2 |
2400z2 |
2400.o |
2400z |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$2.458378065$ |
$1$ |
|
$5$ |
$7680$ |
$1.352810$ |
$-29218112/6561$ |
$1.09201$ |
$5.18049$ |
$1$ |
$[0, -1, 0, -12833, 663537]$ |
\(y^2=x^3-x^2-12833x+663537\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bp.1, 20.12.0.l.1, 40.48.1.jp.1, $\ldots$ |
$[(-8, 875)]$ |
$1$ |
| 2400.p1 |
2400h1 |
2400.p |
2400h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.201517$ |
$2156689088/81$ |
$1.10723$ |
$3.91599$ |
$1$ |
$[0, -1, 0, -538, -4628]$ |
\(y^2=x^3-x^2-538x-4628\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bc.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.p2 |
2400h2 |
2400.p |
2400h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.548090$ |
$-29218112/6561$ |
$1.09201$ |
$3.93979$ |
$1$ |
$[0, -1, 0, -513, -5103]$ |
\(y^2=x^3-x^2-513x-5103\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bp.1, 20.12.0.l.1, 40.48.1.jp.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.q1 |
2400u3 |
2400.q |
2400u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$7301384/3$ |
$1.03749$ |
$4.07267$ |
$2$ |
$[0, -1, 0, -808, 9112]$ |
\(y^2=x^3-x^2-808x+9112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.q2 |
2400u2 |
2400.q |
2400u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$140608/3$ |
$1.02705$ |
$3.83236$ |
$2$ |
$[0, -1, 0, -433, -3263]$ |
\(y^2=x^3-x^2-433x-3263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 20.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.q3 |
2400u1 |
2400.q |
2400u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.031925$ |
$21952/9$ |
$1.09175$ |
$3.05942$ |
$1$ |
$[0, -1, 0, -58, 112]$ |
\(y^2=x^3-x^2-58x+112\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.q4 |
2400u4 |
2400.q |
2400u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$97336/81$ |
$1.05989$ |
$3.51794$ |
$2$ |
$[0, -1, 0, 192, 612]$ |
\(y^2=x^3-x^2+192x+612\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 24.24.0.n.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.r1 |
2400m2 |
2400.r |
2400m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$7301384/3$ |
$1.03749$ |
$4.07267$ |
$2$ |
$[0, 1, 0, -808, -9112]$ |
\(y^2=x^3+x^2-808x-9112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.r2 |
2400m3 |
2400.r |
2400m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$140608/3$ |
$1.02705$ |
$3.83236$ |
$2$ |
$[0, 1, 0, -433, 3263]$ |
\(y^2=x^3+x^2-433x+3263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 20.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.r3 |
2400m1 |
2400.r |
2400m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.031925$ |
$21952/9$ |
$1.09175$ |
$3.05942$ |
$1$ |
$[0, 1, 0, -58, -112]$ |
\(y^2=x^3+x^2-58x-112\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.r4 |
2400m4 |
2400.r |
2400m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$97336/81$ |
$1.05989$ |
$3.51794$ |
$2$ |
$[0, 1, 0, 192, -612]$ |
\(y^2=x^3+x^2+192x-612\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 24.24.0.n.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.s1 |
2400bh1 |
2400.s |
2400bh |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$1.006235$ |
$2156689088/81$ |
$1.10723$ |
$5.15669$ |
$1$ |
$[0, 1, 0, -13458, -605412]$ |
\(y^2=x^3+x^2-13458x-605412\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bc.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.s2 |
2400bh2 |
2400.s |
2400bh |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.352810$ |
$-29218112/6561$ |
$1.09201$ |
$5.18049$ |
$1$ |
$[0, 1, 0, -12833, -663537]$ |
\(y^2=x^3+x^2-12833x-663537\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bp.1, 20.12.0.l.1, 40.48.1.jp.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2400.t1 |
2400q1 |
2400.t |
2400q |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$0.319425305$ |
$1$ |
|
$9$ |
$768$ |
$0.201517$ |
$2156689088/81$ |
$1.10723$ |
$3.91599$ |
$1$ |
$[0, 1, 0, -538, 4628]$ |
\(y^2=x^3+x^2-538x+4628\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bc.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ |
$[(8, 30)]$ |
$1$ |
| 2400.t2 |
2400q2 |
2400.t |
2400q |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$0.159712652$ |
$1$ |
|
$15$ |
$1536$ |
$0.548090$ |
$-29218112/6561$ |
$1.09201$ |
$3.93979$ |
$1$ |
$[0, 1, 0, -513, 5103]$ |
\(y^2=x^3+x^2-513x+5103\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bp.1, 20.12.0.l.1, 40.48.1.jp.1, $\ldots$ |
$[(3, 60)]$ |
$1$ |
| 2400.u1 |
2400bd1 |
2400.u |
2400bd |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.295749244$ |
$1$ |
|
$6$ |
$2112$ |
$0.648824$ |
$-5624320/177147$ |
$1.12683$ |
$3.99504$ |
$1$ |
$[0, 1, 0, -173, -6597]$ |
\(y^2=x^3+x^2-173x-6597\) |
6.2.0.a.1 |
$[(49, 324)]$ |
$1$ |
| 2400.v1 |
2400bc1 |
2400.v |
2400bc |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$60$ |
$60$ |
$3$ |
$0.164529988$ |
$1$ |
|
$8$ |
$960$ |
$0.365477$ |
$-425920000/243$ |
$1.15063$ |
$4.03527$ |
$1$ |
$[0, 1, 0, -733, 7403]$ |
\(y^2=x^3+x^2-733x+7403\) |
5.15.0.a.1, 6.2.0.a.1, 20.30.0.b.1, 30.30.2.b.1, 60.60.3.j.1 |
$[(17, 12)]$ |
$1$ |
| 2400.w1 |
2400bg1 |
2400.w |
2400bg |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$60$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$4800$ |
$1.170197$ |
$-425920000/243$ |
$1.15063$ |
$5.27596$ |
$1$ |
$[0, 1, 0, -18333, -962037]$ |
\(y^2=x^3+x^2-18333x-962037\) |
5.15.0.a.1, 6.2.0.a.1, 20.30.0.b.1, 30.30.2.b.1, 60.60.3.j.1 |
$[ ]$ |
$1$ |
| 2400.x1 |
2400p1 |
2400.x |
2400p |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.115826605$ |
$1$ |
|
$10$ |
$10560$ |
$1.453543$ |
$-5624320/177147$ |
$1.12683$ |
$5.23574$ |
$1$ |
$[0, 1, 0, -4333, 815963]$ |
\(y^2=x^3+x^2-4333x+815963\) |
6.2.0.a.1 |
$[(-67, 900)]$ |
$1$ |
| 2400.y1 |
2400bb2 |
2400.y |
2400bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1.267896143$ |
$1$ |
|
$3$ |
$1536$ |
$0.641451$ |
$14526784/15$ |
$1.00337$ |
$4.42823$ |
$2$ |
$[0, 1, 0, -2033, -35937]$ |
\(y^2=x^3+x^2-2033x-35937\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 40.24.0-40.bb.1.10, 60.24.0-60.h.1.1, $\ldots$ |
$[(63, 300)]$ |
$1$ |
| 2400.y2 |
2400bb3 |
2400.y |
2400bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1.267896143$ |
$1$ |
|
$9$ |
$1536$ |
$0.641451$ |
$38614472/405$ |
$1.12730$ |
$4.28667$ |
$1$ |
$[0, 1, 0, -1408, 19688]$ |
\(y^2=x^3+x^2-1408x+19688\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 40.24.0-40.v.1.3, 120.48.0.? |
$[(14, 54)]$ |
$1$ |
