| 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 |
| 6534.g1 |
6534a1 |
6534.g |
6534a |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$0.905138084$ |
$1$ |
|
$4$ |
$2592$ |
$0.450417$ |
$3375/64$ |
$1.08801$ |
$3.26290$ |
$[1, -1, 0, 93, -1963]$ |
\(y^2+xy=x^3-x^2+93x-1963\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(14, 37)]$ |
| 6534.h1 |
6534h1 |
6534.h |
6534h |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$9504$ |
$1.100060$ |
$3375/64$ |
$1.08801$ |
$4.15031$ |
$[1, -1, 0, 1248, -95936]$ |
\(y^2+xy=x^3-x^2+1248x-95936\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 6534.w1 |
6534v1 |
6534.w |
6534v |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$0.241189991$ |
$1$ |
|
$6$ |
$864$ |
$-0.098889$ |
$3375/64$ |
$1.08801$ |
$2.51254$ |
$[1, -1, 1, 10, 69]$ |
\(y^2+xy+y=x^3-x^2+10x+69\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(3, 9)]$ |
| 6534.x1 |
6534p1 |
6534.x |
6534p |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$28512$ |
$1.649364$ |
$3375/64$ |
$1.08801$ |
$4.90066$ |
$[1, -1, 1, 11230, 2579041]$ |
\(y^2+xy+y=x^3-x^2+11230x+2579041\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 52272.bi1 |
52272bh1 |
52272.bi |
52272bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$228096$ |
$1.793205$ |
$3375/64$ |
$1.08801$ |
$4.12154$ |
$[0, 0, 0, 19965, 6119938]$ |
\(y^2=x^3+19965x+6119938\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 52272.bj1 |
52272cl1 |
52272.bj |
52272cl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$3.774862493$ |
$1$ |
|
$2$ |
$684288$ |
$2.342510$ |
$3375/64$ |
$1.08801$ |
$4.72827$ |
$[0, 0, 0, 179685, -165238326]$ |
\(y^2=x^3+179685x-165238326\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(13431, 1557270)]$ |
| 52272.bv1 |
52272ck1 |
52272.bv |
52272ck |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1.010548519$ |
$1$ |
|
$4$ |
$62208$ |
$1.143564$ |
$3375/64$ |
$1.08801$ |
$3.40398$ |
$[0, 0, 0, 1485, 124146]$ |
\(y^2=x^3+1485x+124146\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(-33, 198)]$ |
| 52272.bw1 |
52272bg1 |
52272.bw |
52272bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.594258$ |
$3375/64$ |
$1.08801$ |
$2.79725$ |
$[0, 0, 0, 165, -4598]$ |
\(y^2=x^3+165x-4598\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 163350.o1 |
163350fn1 |
163350.o |
163350fn |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 11^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$2.430817703$ |
$1$ |
|
$12$ |
$4105728$ |
$2.454082$ |
$3375/64$ |
$1.08801$ |
$4.39098$ |
$[1, -1, 0, 280758, 322660916]$ |
\(y^2+xy=x^3-x^2+280758x+322660916\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(1180, 47326), (-151, 16713)]$ |
| 163350.dw1 |
163350ik1 |
163350.dw |
163350ik |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$0.871409374$ |
$1$ |
|
$4$ |
$124416$ |
$0.705830$ |
$3375/64$ |
$1.08801$ |
$2.64326$ |
$[1, -1, 0, 258, 8916]$ |
\(y^2+xy=x^3-x^2+258x+8916\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(4, 98)]$ |
| 163350.ex1 |
163350db1 |
163350.ex |
163350db |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1368576$ |
$1.904778$ |
$3375/64$ |
$1.08801$ |
$3.84184$ |
$[1, -1, 1, 31195, -11960803]$ |
\(y^2+xy+y=x^3-x^2+31195x-11960803\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 163350.ie1 |
163350bw1 |
163350.ie |
163350bw |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$0.598807100$ |
$1$ |
|
$4$ |
$373248$ |
$1.255136$ |
$3375/64$ |
$1.08801$ |
$3.19240$ |
$[1, -1, 1, 2320, -243053]$ |
\(y^2+xy+y=x^3-x^2+2320x-243053\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(289, 4805)]$ |
| 209088.dl1 |
209088v1 |
209088.dl |
209088v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$6.085417975$ |
$1$ |
|
$0$ |
$1824768$ |
$2.139778$ |
$3375/64$ |
$1.08801$ |
$3.99462$ |
$[0, 0, 0, 79860, 48959504]$ |
\(y^2=x^3+79860x+48959504\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(11132/7, 3045328/7)]$ |
| 209088.dm1 |
209088eq1 |
209088.dm |
209088eq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{9} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$2.065388997$ |
$1$ |
|
$10$ |
$497664$ |
$1.490137$ |
$3375/64$ |
$1.08801$ |
$3.35826$ |
$[0, 0, 0, 5940, -993168]$ |
\(y^2=x^3+5940x-993168\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(174, 2304), (264, 4356)]$ |
| 209088.dn1 |
209088cu1 |
209088.dn |
209088cu |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$5474304$ |
$2.689087$ |
$3375/64$ |
$1.08801$ |
$4.53269$ |
$[0, 0, 0, 718740, -1321906608]$ |
\(y^2=x^3+718740x-1321906608\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 209088.do1 |
209088gq1 |
209088.do |
209088gq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1.081970926$ |
$1$ |
|
$4$ |
$165888$ |
$0.940832$ |
$3375/64$ |
$1.08801$ |
$2.82019$ |
$[0, 0, 0, 660, 36784]$ |
\(y^2=x^3+660x+36784\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(198, 2816)]$ |
| 209088.el1 |
209088da1 |
209088.el |
209088da |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{9} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.490137$ |
$3375/64$ |
$1.08801$ |
$3.35826$ |
$[0, 0, 0, 5940, 993168]$ |
\(y^2=x^3+5940x+993168\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 209088.em1 |
209088gx1 |
209088.em |
209088gx |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$7.658907721$ |
$1$ |
|
$0$ |
$1824768$ |
$2.139778$ |
$3375/64$ |
$1.08801$ |
$3.99462$ |
$[0, 0, 0, 79860, -48959504]$ |
\(y^2=x^3+79860x-48959504\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(35358/7, 6724864/7)]$ |
| 209088.en1 |
209088bc1 |
209088.en |
209088bc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$5.240354421$ |
$1$ |
|
$2$ |
$165888$ |
$0.940832$ |
$3375/64$ |
$1.08801$ |
$2.82019$ |
$[0, 0, 0, 660, -36784]$ |
\(y^2=x^3+660x-36784\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(1232, 43252)]$ |
| 209088.eo1 |
209088ew1 |
209088.eo |
209088ew |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{24} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$5474304$ |
$2.689087$ |
$3375/64$ |
$1.08801$ |
$4.53269$ |
$[0, 0, 0, 718740, 1321906608]$ |
\(y^2=x^3+718740x+1321906608\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 320166.ce1 |
320166ce1 |
320166.ce |
320166ce |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3136320$ |
$2.073013$ |
$3375/64$ |
$1.08801$ |
$3.79715$ |
$[1, -1, 0, 61143, 32783757]$ |
\(y^2+xy=x^3-x^2+61143x+32783757\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
| 320166.cf1 |
320166cf1 |
320166.cf |
320166cf |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1.223870995$ |
$1$ |
|
$2$ |
$855360$ |
$1.423372$ |
$3375/64$ |
$1.08801$ |
$3.18218$ |
$[1, -1, 0, 4548, 664208]$ |
\(y^2+xy=x^3-x^2+4548x+664208\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(-8, 796)]$ |
| 320166.gl1 |
320166gl1 |
320166.gl |
320166gl |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$2.084910784$ |
$1$ |
|
$2$ |
$285120$ |
$0.874066$ |
$3375/64$ |
$1.08801$ |
$2.66220$ |
$[1, -1, 1, 505, -24769]$ |
\(y^2+xy+y=x^3-x^2+505x-24769\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[(25, 42)]$ |
| 320166.gm1 |
320166gm1 |
320166.gm |
320166gm |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.6.0.1 |
3Ns |
$132$ |
$96$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$9408960$ |
$2.622318$ |
$3375/64$ |
$1.08801$ |
$4.31714$ |
$[1, -1, 1, 550285, -885711725]$ |
\(y^2+xy+y=x^3-x^2+550285x-885711725\) |
3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? |
$[]$ |
