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 |
1290.a1 |
1290a2 |
1290.a |
1290a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$0.252324$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.23074$ |
$[1, 1, 0, -507, -4611]$ |
\(y^2+xy=x^3+x^2-507x-4611\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
3870.r1 |
3870p2 |
3870.r |
3870p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.177360025$ |
$1$ |
|
$12$ |
$3840$ |
$0.801630$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.46603$ |
$[1, -1, 1, -4568, 119931]$ |
\(y^2+xy+y=x^3-x^2-4568x+119931\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(35, 27)]$ |
6450.bj1 |
6450bg2 |
6450.bj |
6450bg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$1.057043$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.55536$ |
$[1, 0, 0, -12688, -551008]$ |
\(y^2+xy=x^3-12688x-551008\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
10320.bi1 |
10320be2 |
10320.bi |
10320be |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.164362832$ |
$1$ |
|
$3$ |
$11520$ |
$0.945471$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.17882$ |
$[0, 1, 0, -8120, 278868]$ |
\(y^2=x^3+x^2-8120x+278868\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(6, 480)]$ |
19350.t1 |
19350t2 |
19350.t |
19350t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.649190555$ |
$1$ |
|
$6$ |
$92160$ |
$1.606348$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.71615$ |
$[1, -1, 0, -114192, 14877216]$ |
\(y^2+xy=x^3-x^2-114192x+14877216\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(199, -37)]$ |
30960.k1 |
30960bj2 |
30960.k |
30960bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.494778$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.37231$ |
$[0, 0, 0, -73083, -7602518]$ |
\(y^2=x^3-73083x-7602518\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
41280.m1 |
41280bw2 |
41280.m |
41280bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{23} \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.292044$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.02506$ |
$[0, -1, 0, -32481, 2263425]$ |
\(y^2=x^3-x^2-32481x+2263425\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
41280.cf1 |
41280bb2 |
41280.cf |
41280bb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{23} \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$4.991729581$ |
$1$ |
|
$1$ |
$92160$ |
$1.292044$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.02506$ |
$[0, 1, 0, -32481, -2263425]$ |
\(y^2=x^3+x^2-32481x-2263425\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(5323/3, 368000/3)]$ |
51600.bc1 |
51600bl2 |
51600.bc |
51600bl |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{17} \cdot 3 \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$1.750191$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.44893$ |
$[0, -1, 0, -203008, 35264512]$ |
\(y^2=x^3-x^2-203008x+35264512\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
55470.be1 |
55470bf2 |
55470.be |
55470bf |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$887040$ |
$2.132923$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.83993$ |
$[1, 0, 0, -938406, 349721220]$ |
\(y^2+xy=x^3-938406x+349721220\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
63210.v1 |
63210u2 |
63210.v |
63210u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$3.155759271$ |
$1$ |
|
$2$ |
$184320$ |
$1.225279$ |
$14457238157881/4437600$ |
$0.93485$ |
$3.79744$ |
$[1, 0, 1, -24869, 1506992]$ |
\(y^2+xy+y=x^3-24869x+1506992\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(200, 2031)]$ |
123840.fb1 |
123840cw2 |
123840.fb |
123840cw |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.841351$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.21008$ |
$[0, 0, 0, -292332, 60820144]$ |
\(y^2=x^3-292332x+60820144\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
123840.fc1 |
123840fs2 |
123840.fc |
123840fs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.841351$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.21008$ |
$[0, 0, 0, -292332, -60820144]$ |
\(y^2=x^3-292332x-60820144\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
154800.dl1 |
154800cm2 |
154800.dl |
154800cm |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.720725309$ |
$1$ |
|
$7$ |
$2211840$ |
$2.299496$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.59153$ |
$[0, 0, 0, -1827075, -950314750]$ |
\(y^2=x^3-1827075x-950314750\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(-785, 450)]$ |
156090.bg1 |
156090w2 |
156090.bg |
156090w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.532321487$ |
$1$ |
|
$4$ |
$691200$ |
$1.451271$ |
$14457238157881/4437600$ |
$0.93485$ |
$3.73715$ |
$[1, 1, 1, -61410, 5830287]$ |
\(y^2+xy+y=x^3+x^2-61410x+5830287\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(171, 519)]$ |
166410.z1 |
166410bp2 |
166410.z |
166410bp |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7096320$ |
$2.682232$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.94594$ |
$[1, -1, 0, -8445654, -9442472940]$ |
\(y^2+xy=x^3-x^2-8445654x-9442472940\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
189630.eo1 |
189630n2 |
189630.eo |
189630n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$3.027322494$ |
$1$ |
|
$2$ |
$1474560$ |
$1.774586$ |
$14457238157881/4437600$ |
$0.93485$ |
$3.99655$ |
$[1, -1, 1, -223817, -40688791]$ |
\(y^2+xy+y=x^3-x^2-223817x-40688791\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(723, 12868)]$ |
206400.co1 |
206400js2 |
206400.co |
206400js |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{23} \cdot 3 \cdot 5^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$6.894390357$ |
$1$ |
|
$3$ |
$2211840$ |
$2.096764$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.28480$ |
$[0, -1, 0, -812033, -281304063]$ |
\(y^2=x^3-x^2-812033x-281304063\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(10512, 1073625)]$ |
206400.ia1 |
206400bu2 |
206400.ia |
206400bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{23} \cdot 3 \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.096764$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.28480$ |
$[0, 1, 0, -812033, 281304063]$ |
\(y^2=x^3+x^2-812033x+281304063\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
218010.bn1 |
218010bc2 |
218010.bn |
218010bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$1.534798$ |
$14457238157881/4437600$ |
$0.93485$ |
$3.71712$ |
$[1, 1, 1, -85771, -9701671]$ |
\(y^2+xy+y=x^3+x^2-85771x-9701671\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
277350.o1 |
277350o2 |
277350.o |
277350o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{8} \cdot 43^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$14.95657318$ |
$1$ |
|
$6$ |
$21288960$ |
$2.937641$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.98890$ |
$[1, 1, 0, -23460150, 43715152500]$ |
\(y^2+xy=x^3+x^2-23460150x+43715152500\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(3221, 38143), (5263325/44, 410293575/44)]$ |
316050.fz1 |
316050fz2 |
316050.fz |
316050fz |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$2.354135439$ |
$1$ |
|
$16$ |
$4423680$ |
$2.029999$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.07736$ |
$[1, 1, 1, -621713, 188374031]$ |
\(y^2+xy+y=x^3+x^2-621713x+188374031\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(395, 1952), (461, -280)]$ |
372810.bi1 |
372810bi2 |
372810.bi |
372810bi |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 17^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$1.668930$ |
$14457238157881/4437600$ |
$0.93485$ |
$3.68713$ |
$[1, 0, 1, -146674, -21627484]$ |
\(y^2+xy+y=x^3-146674x-21627484\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
443760.i1 |
443760i2 |
443760.i |
443760i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$16.57348720$ |
$1$ |
|
$1$ |
$21288960$ |
$2.826073$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.70561$ |
$[0, -1, 0, -15014496, -22382158080]$ |
\(y^2=x^3-x^2-15014496x-22382158080\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(3724461281/568, 212338407750991/568)]$ |
465690.cm1 |
465690cm2 |
465690.cm |
465690cm |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \) |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 19^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.953710386$ |
$1$ |
|
$2$ |
$3317760$ |
$1.724543$ |
$14457238157881/4437600$ |
$0.93485$ |
$3.67541$ |
$[1, 0, 0, -183215, 30161625]$ |
\(y^2+xy=x^3-183215x+30161625\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(2082, 92097)]$ |
468270.n1 |
468270n2 |
468270.n |
468270n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5529600$ |
$2.000576$ |
$14457238157881/4437600$ |
$0.93485$ |
$3.92755$ |
$[1, -1, 0, -552690, -157970444]$ |
\(y^2+xy=x^3-x^2-552690x-157970444\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |