| 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 |
| 11310.m3 |
11310n4 |
11310.m |
11310n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 13^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$3480$ |
$48$ |
$0$ |
$0.369026030$ |
$1$ |
|
$8$ |
$276480$ |
$2.286785$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.43715$ |
$[1, 0, 0, -79075, -121103143]$ |
\(y^2+xy=x^3-79075x-121103143\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 1160.24.0.?, 3480.48.0.? |
$[(584, 5363)]$ |
| 33930.f3 |
33930g3 |
33930.f |
33930g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{12} \cdot 13^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2211840$ |
$2.836090$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.49643$ |
$[1, -1, 0, -711675, 3269784861]$ |
\(y^2+xy=x^3-x^2-711675x+3269784861\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
| 56550.g3 |
56550i3 |
56550.g |
56550i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{18} \cdot 13^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3480$ |
$48$ |
$0$ |
$8.632483855$ |
$1$ |
|
$2$ |
$6635520$ |
$3.091503$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.51993$ |
$[1, 1, 0, -1976875, -15137892875]$ |
\(y^2+xy=x^3+x^2-1976875x-15137892875\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(3861, 184631)]$ |
| 90480.v3 |
90480bg3 |
90480.v |
90480bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{12} \cdot 13^{2} \cdot 29^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6635520$ |
$2.979935$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.17530$ |
$[0, -1, 0, -1265200, 7750601152]$ |
\(y^2=x^3-x^2-1265200x+7750601152\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 1160.24.0.?, 3480.48.0.? |
$[]$ |
| 147030.u3 |
147030bu3 |
147030.u |
147030bu |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 13^{8} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$19.16972265$ |
$1$ |
|
$0$ |
$46448640$ |
$3.569260$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.55849$ |
$[1, 0, 1, -13363679, -266050241494]$ |
\(y^2+xy+y=x^3-13363679x-266050241494\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 52.12.0-4.c.1.1, 312.24.0.?, $\ldots$ |
$[(347179446/145, 6084146569096/145)]$ |
| 169650.eo3 |
169650bc4 |
169650.eo |
169650bc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{18} \cdot 13^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3480$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$53084160$ |
$3.640812$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.56373$ |
$[1, -1, 1, -17791880, 408705315747]$ |
\(y^2+xy+y=x^3-x^2-17791880x+408705315747\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 271440.u3 |
271440u3 |
271440.u |
271440u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{12} \cdot 13^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3480$ |
$48$ |
$0$ |
$21.62076060$ |
$1$ |
|
$1$ |
$53084160$ |
$3.529240$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.24772$ |
$[0, 0, 0, -11386803, -209254844302]$ |
\(y^2=x^3-11386803x-209254844302\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[(8948734063/1159, 159851943661194/1159)]$ |
| 327990.g3 |
327990g3 |
327990.g |
327990g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 13^{2} \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3480$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$232243200$ |
$3.970432$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.58638$ |
$[1, 1, 0, -66502092, -2953451550456]$ |
\(y^2+xy=x^3+x^2-66502092x-2953451550456\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.5, 116.12.0.?, $\ldots$ |
$[]$ |
| 361920.bd3 |
361920bd3 |
361920.bd |
361920bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{12} \cdot 13^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3480$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$53084160$ |
$3.326508$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$4.93969$ |
$[0, -1, 0, -5060801, -61999748415]$ |
\(y^2=x^3-x^2-5060801x-61999748415\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
| 361920.dq3 |
361920dq4 |
361920.dq |
361920dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{12} \cdot 13^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3480$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$53084160$ |
$3.326508$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$4.93969$ |
$[0, 1, 0, -5060801, 61999748415]$ |
\(y^2=x^3+x^2-5060801x+61999748415\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[]$ |
| 441090.dq3 |
441090dq4 |
441090.dq |
441090dq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{12} \cdot 13^{8} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$371589120$ |
$4.118568$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.59581$ |
$[1, -1, 1, -120273107, 7183356520331]$ |
\(y^2+xy+y=x^3-x^2-120273107x+7183356520331\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
| 452400.em3 |
452400em4 |
452400.em |
452400em |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{18} \cdot 13^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3480$ |
$48$ |
$0$ |
$5.717364663$ |
$1$ |
|
$3$ |
$159252480$ |
$3.784653$ |
$-54681655838565466801/6303365630859375000$ |
$1.01787$ |
$5.27723$ |
$[0, 1, 0, -31630008, 968761883988]$ |
\(y^2=x^3+x^2-31630008x+968761883988\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(30252, 5262978)]$ |
