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 |
113715.a1 |
113715a1 |
113715.a |
113715a |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{3} \cdot 5 \cdot 7 \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$0.954208756$ |
$1$ |
|
$10$ |
$195840$ |
$0.972243$ |
$-110592/665$ |
$0.79499$ |
$3.00726$ |
$[0, 0, 1, -1083, 46298]$ |
\(y^2+y=x^3-1083x+46298\) |
3990.2.0.? |
$[(19, 180), (114/5, 25388/5)]$ |
113715.b1 |
113715j1 |
113715.b |
113715j |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{23} \cdot 5 \cdot 7^{5} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4243200$ |
$2.465614$ |
$1410957725696/10852293597705$ |
$1.10936$ |
$4.54368$ |
$[0, 0, 1, 39957, 354402454]$ |
\(y^2+y=x^3+39957x+354402454\) |
3990.2.0.? |
$[]$ |
113715.c1 |
113715k1 |
113715.c |
113715k |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{14} \cdot 5^{7} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$26966016$ |
$3.308952$ |
$1616731009970176/25116328125$ |
$0.97576$ |
$5.59779$ |
$[0, 0, 1, -56566173, 161537864278]$ |
\(y^2+y=x^3-56566173x+161537864278\) |
10.2.0.a.1 |
$[]$ |
113715.d1 |
113715bb1 |
113715.d |
113715bb |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{6} \cdot 5^{5} \cdot 7^{2} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8755200$ |
$2.929108$ |
$196145197056/153125$ |
$1.05077$ |
$5.32908$ |
$[0, 0, 1, -19939113, 34246306244]$ |
\(y^2+y=x^3-19939113x+34246306244\) |
10.2.0.a.1 |
$[]$ |
113715.e1 |
113715ba1 |
113715.e |
113715ba |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1169280$ |
$1.831114$ |
$-100934332416/12635$ |
$0.88707$ |
$4.26032$ |
$[0, 0, 1, -315153, -68104726]$ |
\(y^2+y=x^3-315153x-68104726\) |
70.2.0.a.1 |
$[]$ |
113715.f1 |
113715z2 |
113715.f |
113715z |
$2$ |
$5$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 19^{16} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$3990$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$32400000$ |
$3.479443$ |
$-511416541770305536/214587319023035$ |
$0.98594$ |
$5.63328$ |
$[0, 0, 1, -54129423, -201326117346]$ |
\(y^2+y=x^3-54129423x-201326117346\) |
5.12.0.a.2, 70.24.1.d.2, 285.24.0.?, 3990.48.1.? |
$[]$ |
113715.f2 |
113715z1 |
113715.f |
113715z |
$2$ |
$5$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{6} \cdot 5^{5} \cdot 7^{5} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$3990$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6480000$ |
$2.674725$ |
$-1029077364736/18960396875$ |
$0.95599$ |
$4.75968$ |
$[0, 0, 1, -683373, 1246011084]$ |
\(y^2+y=x^3-683373x+1246011084\) |
5.12.0.a.1, 70.24.1.d.1, 285.24.0.?, 3990.48.1.? |
$[]$ |
113715.g1 |
113715r1 |
113715.g |
113715r |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{6} \cdot 5^{3} \cdot 7^{4} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.746465390$ |
$1$ |
|
$4$ |
$3151872$ |
$2.253384$ |
$533794816/300125$ |
$1.10061$ |
$4.31585$ |
$[0, 0, 1, -390963, -15866582]$ |
\(y^2+y=x^3-390963x-15866582\) |
10.2.0.a.1 |
$[(-361, 8844)]$ |
113715.h1 |
113715f1 |
113715.h |
113715f |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5^{3} \cdot 7^{5} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$0.272030362$ |
$1$ |
|
$24$ |
$9849600$ |
$2.780277$ |
$-337851576225792/39916625$ |
$0.94637$ |
$5.24058$ |
$[0, 0, 1, -14142897, 20473873220]$ |
\(y^2+y=x^3-14142897x+20473873220\) |
3990.2.0.? |
$[(-627, 170572), (2208, 3307)]$ |
113715.i1 |
113715bh1 |
113715.i |
113715bh |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5^{5} \cdot 7^{3} \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$0.092278671$ |
$1$ |
|
$32$ |
$441600$ |
$1.214619$ |
$-122023936/3215625$ |
$0.94317$ |
$3.25432$ |
$[0, 0, 1, -1767, 195030]$ |
\(y^2+y=x^3-1767x+195030\) |
3990.2.0.? |
$[(83, 787), (38, 427)]$ |
113715.j1 |
113715n4 |
113715.j |
113715n |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{7} \cdot 5^{2} \cdot 7 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1.442605505$ |
$1$ |
|
$4$ |
$8110080$ |
$3.012436$ |
$16651720753282540801/9975$ |
$0.97974$ |
$5.88564$ |
$[1, -1, 1, -172846868, 874705464056]$ |
\(y^2+xy+y=x^3-x^2-172846868x+874705464056\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.1, 48.24.0-8.n.1.5, $\ldots$ |
$[(7320, 36952)]$ |
113715.j2 |
113715n6 |
113715.j |
113715n |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 5 \cdot 7^{2} \cdot 19^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$11.54084404$ |
$1$ |
|
$0$ |
$16220160$ |
$3.359009$ |
$335414091635204401/37448756505405$ |
$0.96511$ |
$5.55021$ |
$[1, -1, 1, -47029343, -111509349334]$ |
\(y^2+xy+y=x^3-x^2-47029343x-111509349334\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(-217527/8, 49613897/8)]$ |
113715.j3 |
113715n3 |
113715.j |
113715n |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{10} \cdot 5^{2} \cdot 7^{4} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$15960$ |
$192$ |
$1$ |
$5.770422023$ |
$1$ |
|
$4$ |
$8110080$ |
$3.012436$ |
$4541390686576801/633623960025$ |
$0.94385$ |
$5.18065$ |
$[1, -1, 1, -11209118, 12586238156]$ |
\(y^2+xy+y=x^3-x^2-11209118x+12586238156\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0.c.1, 24.24.0-4.b.1.2, 56.24.0-4.b.1.5, $\ldots$ |
$[(747, 67666)]$ |
113715.j4 |
113715n2 |
113715.j |
113715n |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$15960$ |
$192$ |
$1$ |
$2.885211011$ |
$1$ |
|
$6$ |
$4055040$ |
$2.665863$ |
$4065433152958801/99500625$ |
$0.93982$ |
$5.17114$ |
$[1, -1, 1, -10802993, 13669129856]$ |
\(y^2+xy+y=x^3-x^2-10802993x+13669129856\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.3, 28.24.0-4.b.1.2, 40.24.0.m.1, $\ldots$ |
$[(822, 72691)]$ |
113715.j5 |
113715n1 |
113715.j |
113715n |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5^{8} \cdot 7 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$5.770422023$ |
$1$ |
|
$1$ |
$2027520$ |
$2.319290$ |
$-885012508801/155859375$ |
$0.88599$ |
$4.46962$ |
$[1, -1, 1, -649868, 230453606]$ |
\(y^2+xy+y=x^3-x^2-649868x+230453606\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.8, 28.12.0-4.c.1.2, $\ldots$ |
$[(7120/3, 381494/3)]$ |
113715.j6 |
113715n5 |
113715.j |
113715n |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{14} \cdot 5 \cdot 7^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$11.54084404$ |
$1$ |
|
$0$ |
$16220160$ |
$3.359009$ |
$19162556947522799/68270261146605$ |
$0.97409$ |
$5.44522$ |
$[1, -1, 1, 18113107, 67371883346]$ |
\(y^2+xy+y=x^3-x^2+18113107x+67371883346\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0.h.1, 24.24.0-8.n.1.7, $\ldots$ |
$[(2101227/14, 3338792099/14)]$ |
113715.k1 |
113715h2 |
113715.k |
113715h |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5836800$ |
$2.819363$ |
$2009438972659/275625$ |
$0.93106$ |
$5.27602$ |
$[1, -1, 1, -16228823, 25165014572]$ |
\(y^2+xy+y=x^3-x^2-16228823x+25165014572\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[]$ |
113715.k2 |
113715h1 |
113715.k |
113715h |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{7} \cdot 5^{2} \cdot 7^{4} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2918400$ |
$2.472786$ |
$633839779/180075$ |
$0.86719$ |
$4.58353$ |
$[1, -1, 1, -1104728, 319151306]$ |
\(y^2+xy+y=x^3-x^2-1104728x+319151306\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
113715.l1 |
113715x6 |
113715.l |
113715x |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{30} \cdot 5^{6} \cdot 7^{2} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$4560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$451215360$ |
$5.038879$ |
$51667200931417724201028999121/4108467163497046875$ |
$1.04303$ |
$7.76303$ |
$[1, -1, 1, -252104221913, -48721168996828594]$ |
\(y^2+xy+y=x^3-x^2-252104221913x-48721168996828594\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.6, $\ldots$ |
$[]$ |
113715.l2 |
113715x4 |
113715.l |
113715x |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{9} \cdot 5^{3} \cdot 7^{16} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$4560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$225607680$ |
$4.692307$ |
$32057060107551693105326401/40490171782737618375$ |
$1.02617$ |
$7.12865$ |
$[1, -1, 1, -21502206968, 1212272176209932]$ |
\(y^2+xy+y=x^3-x^2-21502206968x+1212272176209932\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 48.48.0-48.e.1.9, 60.12.0.h.1, $\ldots$ |
$[]$ |
113715.l3 |
113715x3 |
113715.l |
113715x |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{18} \cdot 5^{12} \cdot 7^{4} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$2280$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$225607680$ |
$4.692307$ |
$12695229840756170655249121/112459065576416015625$ |
$1.02391$ |
$7.04909$ |
$[1, -1, 1, -15790237538, -757842946547344]$ |
\(y^2+xy+y=x^3-x^2-15790237538x-757842946547344\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0-4.b.1.2, 24.48.0-24.i.1.29, $\ldots$ |
$[]$ |
113715.l4 |
113715x5 |
113715.l |
113715x |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{12} \cdot 5^{24} \cdot 7^{2} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$4560$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$451215360$ |
$5.038879$ |
$-348819718507793207040241/40453612804412841796875$ |
$1.06051$ |
$7.19605$ |
$[1, -1, 1, -4764772283, -1796560848593098]$ |
\(y^2+xy+y=x^3-x^2-4764772283x-1796560848593098\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.1, 24.48.0-24.bz.2.2, $\ldots$ |
$[]$ |
113715.l5 |
113715x2 |
113715.l |
113715x |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{12} \cdot 5^{6} \cdot 7^{8} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$2280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$112803840$ |
$4.345734$ |
$16115292555782480096401/8557487595112640625$ |
$1.02978$ |
$6.47620$ |
$[1, -1, 1, -1709705093, 7811350107932]$ |
\(y^2+xy+y=x^3-x^2-1709705093x+7811350107932\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.i.2.14, 40.48.0-40.i.1.25, $\ldots$ |
$[]$ |
113715.l6 |
113715x1 |
113715.l |
113715x |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5^{3} \cdot 7^{4} \cdot 19^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$4560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$56401920$ |
$3.999157$ |
$217975805967584185919/137624180157363375$ |
$1.01733$ |
$6.10656$ |
$[1, -1, 1, 407359552, 954601135706]$ |
\(y^2+xy+y=x^3-x^2+407359552x+954601135706\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0.bz.1, $\ldots$ |
$[]$ |
113715.m1 |
113715v1 |
113715.m |
113715v |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5^{5} \cdot 7 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$288000$ |
$1.382366$ |
$-526401738615601/65625$ |
$0.95330$ |
$3.98384$ |
$[1, -1, 1, -107798, 13649622]$ |
\(y^2+xy+y=x^3-x^2-107798x+13649622\) |
420.2.0.? |
$[]$ |
113715.n1 |
113715w6 |
113715.n |
113715w |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{7} \cdot 5^{8} \cdot 7 \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$10321920$ |
$3.185322$ |
$7316761561829228881/2961328125$ |
$0.97635$ |
$5.81500$ |
$[1, -1, 1, -131405873, -579756352044]$ |
\(y^2+xy+y=x^3-x^2-131405873x-579756352044\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[]$ |
113715.n2 |
113715w4 |
113715.n |
113715w |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 5 \cdot 7^{8} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5160960$ |
$2.838749$ |
$10835086336331041/4928904855$ |
$0.94527$ |
$5.25535$ |
$[1, -1, 1, -14977958, 22306383366]$ |
\(y^2+xy+y=x^3-x^2-14977958x+22306383366\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 60.12.0-4.c.1.1, 120.48.0.?, $\ldots$ |
$[]$ |
113715.n3 |
113715w3 |
113715.n |
113715w |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$15960$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$5160960$ |
$2.838749$ |
$1812322775712961/35919725625$ |
$0.93559$ |
$5.10174$ |
$[1, -1, 1, -8252528, -8965228638]$ |
\(y^2+xy+y=x^3-x^2-8252528x-8965228638\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 84.24.0.?, 120.48.0.?, $\ldots$ |
$[]$ |
113715.n4 |
113715w2 |
113715.n |
113715w |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{10} \cdot 5^{2} \cdot 7^{4} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$15960$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$2580480$ |
$2.492176$ |
$4158523459441/1755191025$ |
$0.91224$ |
$4.57971$ |
$[1, -1, 1, -1088483, 227673906]$ |
\(y^2+xy+y=x^3-x^2-1088483x+227673906\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 60.24.0-4.b.1.2, 120.48.0.?, $\ldots$ |
$[]$ |
113715.n5 |
113715w1 |
113715.n |
113715w |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{14} \cdot 5 \cdot 7^{2} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$2.145603$ |
$37899197279/30541455$ |
$0.87792$ |
$4.17616$ |
$[1, -1, 1, 227362, 26086452]$ |
\(y^2+xy+y=x^3-x^2+227362x+26086452\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
113715.n6 |
113715w5 |
113715.n |
113715w |
$6$ |
$8$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5^{2} \cdot 7 \cdot 19^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$10321920$ |
$3.185322$ |
$67867385039/8916370596525$ |
$1.05765$ |
$5.28559$ |
$[1, -1, 1, 276097, -26605836588]$ |
\(y^2+xy+y=x^3-x^2+276097x-26605836588\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.6, 84.12.0.?, $\ldots$ |
$[]$ |
113715.o1 |
113715be4 |
113715.o |
113715be |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{10} \cdot 5^{2} \cdot 7^{3} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15482880$ |
$3.292332$ |
$10625495353235512849/90517708575$ |
$1.03321$ |
$5.84705$ |
$[1, -1, 1, -148807517, 698723490966]$ |
\(y^2+xy+y=x^3-x^2-148807517x+698723490966\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0.h.1, 56.24.0-28.h.1.5, $\ldots$ |
$[]$ |
113715.o2 |
113715be3 |
113715.o |
113715be |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{7} \cdot 5^{2} \cdot 7^{12} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$15482880$ |
$3.292332$ |
$112293400033564849/19723834261425$ |
$0.96161$ |
$5.45621$ |
$[1, -1, 1, -32655767, -59935553634]$ |
\(y^2+xy+y=x^3-x^2-32655767x-59935553634\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.ba.1.5, 114.6.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
113715.o3 |
113715be2 |
113715.o |
113715be |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7741440$ |
$2.945759$ |
$2770485962938849/238901000625$ |
$0.93963$ |
$5.13820$ |
$[1, -1, 1, -9506642, 10410007416]$ |
\(y^2+xy+y=x^3-x^2-9506642x+10410007416\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.a.1.3, 228.24.0.?, 1596.48.0.? |
$[]$ |
113715.o4 |
113715be1 |
113715.o |
113715be |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5^{8} \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3870720$ |
$2.599186$ |
$871257511151/7637109375$ |
$0.92879$ |
$4.67304$ |
$[1, -1, 1, 646483, 752354916]$ |
\(y^2+xy+y=x^3-x^2+646483x+752354916\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.ba.1.13, 456.24.0.?, 798.6.0.?, $\ldots$ |
$[]$ |
113715.p1 |
113715bm1 |
113715.p |
113715bm |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5^{3} \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$0.259978740$ |
$1$ |
|
$6$ |
$62208$ |
$0.558932$ |
$463391/23625$ |
$0.85840$ |
$2.57648$ |
$[1, -1, 1, 103, 3746]$ |
\(y^2+xy+y=x^3-x^2+103x+3746\) |
420.2.0.? |
$[(6, 64)]$ |
113715.q1 |
113715bl1 |
113715.q |
113715bl |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{5} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$0.798215172$ |
$1$ |
|
$4$ |
$1296000$ |
$2.165741$ |
$28962726911/39916625$ |
$0.87484$ |
$4.18082$ |
$[1, -1, 1, 207868, 42823856]$ |
\(y^2+xy+y=x^3-x^2+207868x+42823856\) |
2660.2.0.? |
$[(-14, 6324)]$ |
113715.r1 |
113715bk4 |
113715.r |
113715bk |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{18} \cdot 5^{4} \cdot 7 \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3192$ |
$48$ |
$0$ |
$5.654015044$ |
$1$ |
|
$0$ |
$22118400$ |
$3.532478$ |
$2646218738827415809/303003411204375$ |
$0.97447$ |
$5.72763$ |
$[1, -1, 1, -93623252, -312259243624]$ |
\(y^2+xy+y=x^3-x^2-93623252x-312259243624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0.h.1, 56.24.0-28.h.1.5, $\ldots$ |
$[(493279/2, 344857367/2)]$ |
113715.r2 |
113715bk2 |
113715.r |
113715bk |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{12} \cdot 5^{8} \cdot 7^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$2.827007522$ |
$1$ |
|
$6$ |
$11059200$ |
$3.185905$ |
$36982286260265809/5037219140625$ |
$0.95496$ |
$5.36080$ |
$[1, -1, 1, -22551377, 36049801376]$ |
\(y^2+xy+y=x^3-x^2-22551377x+36049801376\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.a.1.3, 228.24.0.?, 1596.48.0.? |
$[(-4899, 172549)]$ |
113715.r3 |
113715bk1 |
113715.r |
113715bk |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{9} \cdot 5^{4} \cdot 7^{4} \cdot 19^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3192$ |
$48$ |
$0$ |
$1.413503761$ |
$1$ |
|
$11$ |
$5529600$ |
$2.839329$ |
$33202753467020929/769820625$ |
$0.95121$ |
$5.35154$ |
$[1, -1, 1, -21755372, 39061565894]$ |
\(y^2+xy+y=x^3-x^2-21755372x+39061565894\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.ba.1.13, 114.6.0.?, 228.24.0.?, $\ldots$ |
$[(2682, -869)]$ |
113715.r4 |
113715bk3 |
113715.r |
113715bk |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5^{16} \cdot 7 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3192$ |
$48$ |
$0$ |
$5.654015044$ |
$1$ |
|
$0$ |
$22118400$ |
$3.532478$ |
$147759857675855711/547943115234375$ |
$0.98363$ |
$5.62478$ |
$[1, -1, 1, 35784418, 191596365164]$ |
\(y^2+xy+y=x^3-x^2+35784418x+191596365164\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.ba.1.5, 456.24.0.?, 798.6.0.?, $\ldots$ |
$[(-12737/2, 1716483/2)]$ |
113715.s1 |
113715e1 |
113715.s |
113715e |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$691200$ |
$1.827560$ |
$47832147/23275$ |
$0.97429$ |
$3.88589$ |
$[1, -1, 1, -73712, 3091474]$ |
\(y^2+xy+y=x^3-x^2-73712x+3091474\) |
2.3.0.a.1, 84.6.0.?, 114.6.0.?, 532.6.0.?, 1596.12.0.? |
$[]$ |
113715.s2 |
113715e2 |
113715.s |
113715e |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5^{4} \cdot 7 \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$2.174133$ |
$2284322013/1579375$ |
$0.89964$ |
$4.21799$ |
$[1, -1, 1, 267433, 23423716]$ |
\(y^2+xy+y=x^3-x^2+267433x+23423716\) |
2.3.0.a.1, 84.6.0.?, 228.6.0.?, 532.6.0.?, 1596.12.0.? |
$[]$ |
113715.t1 |
113715l1 |
113715.t |
113715l |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5 \cdot 7^{7} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$5.444130120$ |
$1$ |
|
$2$ |
$1451520$ |
$2.308479$ |
$18067226624/234709755$ |
$0.97002$ |
$4.37586$ |
$[0, 0, 1, 177612, -133429842]$ |
\(y^2+y=x^3+177612x-133429842\) |
3990.2.0.? |
$[(518, 9877)]$ |
113715.u1 |
113715bc1 |
113715.u |
113715bc |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{10} \cdot 5 \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.842969311$ |
$1$ |
|
$4$ |
$156672$ |
$1.070244$ |
$94633984/19845$ |
$0.93650$ |
$3.15553$ |
$[0, 0, 1, -4332, -87633]$ |
\(y^2+y=x^3-4332x-87633\) |
10.2.0.a.1 |
$[(95, 598)]$ |
113715.v1 |
113715bd1 |
113715.v |
113715bd |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{10} \cdot 5 \cdot 7^{2} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2976768$ |
$2.542461$ |
$94633984/19845$ |
$0.93650$ |
$4.67309$ |
$[0, 0, 1, -1563852, 601073032]$ |
\(y^2+y=x^3-1563852x+601073032\) |
10.2.0.a.1 |
$[]$ |
113715.w1 |
113715bi3 |
113715.w |
113715bi |
$3$ |
$9$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5^{9} \cdot 7 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$11970$ |
$144$ |
$3$ |
$4.635933085$ |
$1$ |
|
$0$ |
$9331200$ |
$3.172562$ |
$-9667735243366334464/779296875$ |
$1.04676$ |
$5.83893$ |
$[0, 0, 1, -144194952, -666458680640]$ |
\(y^2+y=x^3-144194952x-666458680640\) |
3.4.0.a.1, 9.12.0.a.1, 57.8.0-3.a.1.1, 171.24.0.?, 210.8.0.?, $\ldots$ |
$[(74537/2, 14124121/2)]$ |
113715.w2 |
113715bi2 |
113715.w |
113715bi |
$3$ |
$9$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$11970$ |
$144$ |
$3$ |
$1.545311028$ |
$1$ |
|
$4$ |
$3110400$ |
$2.623257$ |
$-13117540040704/7940149875$ |
$0.94648$ |
$4.73989$ |
$[0, 0, 1, -1596342, -1110418943]$ |
\(y^2+y=x^3-1596342x-1110418943\) |
3.12.0.a.1, 57.24.0-3.a.1.1, 210.24.0.?, 1197.72.0.?, 3990.48.1.?, $\ldots$ |
$[(1577, 17147)]$ |
113715.w3 |
113715bi1 |
113715.w |
113715bi |
$3$ |
$9$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{15} \cdot 5 \cdot 7 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$11970$ |
$144$ |
$3$ |
$4.635933085$ |
$1$ |
|
$0$ |
$1036800$ |
$2.073952$ |
$12747309056/13089195$ |
$0.89432$ |
$4.08256$ |
$[0, 0, 1, 158118, 21295480]$ |
\(y^2+y=x^3+158118x+21295480\) |
3.4.0.a.1, 9.12.0.a.1, 57.8.0-3.a.1.2, 171.24.0.?, 210.8.0.?, $\ldots$ |
$[(-950/3, 49985/3)]$ |
113715.x1 |
113715bj3 |
113715.x |
113715bj |
$3$ |
$9$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$11970$ |
$144$ |
$3$ |
$3.591328354$ |
$1$ |
|
$0$ |
$1283040$ |
$2.148987$ |
$-250523582464/13671875$ |
$1.02112$ |
$4.34613$ |
$[0, 0, 1, -426702, -112228673]$ |
\(y^2+y=x^3-426702x-112228673\) |
3.4.0.a.1, 9.12.0.a.1, 57.8.0-3.a.1.1, 63.36.0.e.2, 70.2.0.a.1, $\ldots$ |
$[(15713/2, 1940371/2)]$ |