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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
7770.q3 |
7770r2 |
7770.q |
7770r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5120$ |
$0.517971$ |
$8194759433281/2958272100$ |
$[1, 1, 1, -420, 1857]$ |
\(y^2+xy+y=x^3+x^2-420x+1857\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 444.24.0.?, 4440.48.0.? |
$[]$ |
23310.e3 |
23310h2 |
23310.e |
23310h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1.251363317$ |
$1$ |
|
$12$ |
$40960$ |
$1.067278$ |
$8194759433281/2958272100$ |
$[1, -1, 0, -3780, -53924]$ |
\(y^2+xy=x^3-x^2-3780x-53924\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 148.12.0.?, $\ldots$ |
$[(95, 614)]$ |
38850.bn3 |
38850bj2 |
38850.bn |
38850bj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1.252483413$ |
$1$ |
|
$10$ |
$122880$ |
$1.322689$ |
$8194759433281/2958272100$ |
$[1, 0, 1, -10501, 253148]$ |
\(y^2+xy+y=x^3-10501x+253148\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 444.12.0.?, $\ldots$ |
$[(-39, 796)]$ |
54390.cs3 |
54390cp2 |
54390.cs |
54390cp |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31080$ |
$48$ |
$0$ |
$6.701664003$ |
$1$ |
|
$2$ |
$245760$ |
$1.490927$ |
$8194759433281/2958272100$ |
$[1, 0, 0, -20581, -698755]$ |
\(y^2+xy=x^3-20581x-698755\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 280.24.0.?, 444.12.0.?, $\ldots$ |
$[(-3319/8, 258697/8)]$ |
62160.cz3 |
62160db2 |
62160.cz |
62160db |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$122880$ |
$1.211119$ |
$8194759433281/2958272100$ |
$[0, 1, 0, -6720, -132300]$ |
\(y^2=x^3+x^2-6720x-132300\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.1, 444.24.0.?, 4440.48.0.? |
$[]$ |
116550.fe3 |
116550ep2 |
116550.fe |
116550ep |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$983040$ |
$1.871996$ |
$8194759433281/2958272100$ |
$[1, -1, 1, -94505, -6835003]$ |
\(y^2+xy+y=x^3-x^2-94505x-6835003\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
163170.cq3 |
163170dm2 |
163170.cq |
163170dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31080$ |
$48$ |
$0$ |
$2.823654692$ |
$1$ |
|
$8$ |
$1966080$ |
$2.040234$ |
$8194759433281/2958272100$ |
$[1, -1, 0, -185229, 18866385]$ |
\(y^2+xy=x^3-x^2-185229x+18866385\) |
2.6.0.a.1, 40.12.0.a.1, 84.12.0.?, 444.12.0.?, 840.24.0.?, $\ldots$ |
$[(996, 28167)]$ |
186480.bs3 |
186480bq2 |
186480.bs |
186480bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$0.954252142$ |
$1$ |
|
$15$ |
$983040$ |
$1.760424$ |
$8194759433281/2958272100$ |
$[0, 0, 0, -60483, 3511618]$ |
\(y^2=x^3-60483x+3511618\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 148.12.0.?, $\ldots$ |
$[(-1, 1890)]$ |
248640.bf3 |
248640bf2 |
248640.bf |
248640bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$2.094085392$ |
$1$ |
|
$9$ |
$983040$ |
$1.557692$ |
$8194759433281/2958272100$ |
$[0, -1, 0, -26881, -1031519]$ |
\(y^2=x^3-x^2-26881x-1031519\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 444.12.0.?, $\ldots$ |
$[(-69, 700)]$ |
248640.fc3 |
248640fc2 |
248640.fc |
248640fc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$983040$ |
$1.557692$ |
$8194759433281/2958272100$ |
$[0, 1, 0, -26881, 1031519]$ |
\(y^2=x^3+x^2-26881x+1031519\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 444.12.0.?, $\ldots$ |
$[]$ |
271950.bh3 |
271950bh2 |
271950.bh |
271950bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5898240$ |
$2.295647$ |
$8194759433281/2958272100$ |
$[1, 1, 0, -514525, -87344375]$ |
\(y^2+xy=x^3+x^2-514525x-87344375\) |
2.6.0.a.1, 40.12.0.a.1, 56.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
287490.b3 |
287490b2 |
287490.b |
287490b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 37^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$5.201250667$ |
$1$ |
|
$4$ |
$7004160$ |
$2.323429$ |
$8194759433281/2958272100$ |
$[1, 1, 0, -575008, 102696748]$ |
\(y^2+xy=x^3+x^2-575008x+102696748\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 148.12.0.?, $\ldots$ |
$[(-356, 16378)]$ |
310800.bd3 |
310800bd2 |
310800.bd |
310800bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2949120$ |
$2.015839$ |
$8194759433281/2958272100$ |
$[0, -1, 0, -168008, -16201488]$ |
\(y^2=x^3-x^2-168008x-16201488\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 444.12.0.?, $\ldots$ |
$[]$ |
435120.y3 |
435120y2 |
435120.y |
435120y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5898240$ |
$2.184074$ |
$8194759433281/2958272100$ |
$[0, -1, 0, -329296, 44720320]$ |
\(y^2=x^3-x^2-329296x+44720320\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 280.24.0.?, 444.12.0.?, $\ldots$ |
$[]$ |