| 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 |
| 54978.g1 |
54978g1 |
54978.g |
54978g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{18} \cdot 7^{10} \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7854$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$18724608$ |
$3.724991$ |
$-171327409922416869625/648555833326148352$ |
$1.02323$ |
$6.23651$ |
$[1, 1, 0, -75920870, -699250397292]$ |
\(y^2+xy=x^3+x^2-75920870x-699250397292\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 374.2.0.?, 1122.8.0.?, 7854.16.0.? |
$[]$ |
| 54978.x1 |
54978n1 |
54978.x |
54978n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{18} \cdot 7^{4} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1122$ |
$16$ |
$0$ |
$1.111223167$ |
$1$ |
|
$10$ |
$2674944$ |
$2.752037$ |
$-171327409922416869625/648555833326148352$ |
$1.02323$ |
$5.16681$ |
$[1, 0, 1, -1549406, 2038409552]$ |
\(y^2+xy+y=x^3-1549406x+2038409552\) |
3.8.0-3.a.1.2, 374.2.0.?, 1122.16.0.? |
$[(1173, 42253)]$ |
| 164934.dd1 |
164934v1 |
164934.dd |
164934v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{24} \cdot 7^{10} \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7854$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$149796864$ |
$4.274300$ |
$-171327409922416869625/648555833326148352$ |
$1.02323$ |
$6.21488$ |
$[1, -1, 1, -683287835, 18879077439051]$ |
\(y^2+xy+y=x^3-x^2-683287835x+18879077439051\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 374.2.0.?, 1122.8.0.?, 7854.16.0.? |
$[]$ |
| 164934.de1 |
164934bc1 |
164934.de |
164934bc |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{24} \cdot 7^{4} \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1122$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21399552$ |
$3.301342$ |
$-171327409922416869625/648555833326148352$ |
$1.02323$ |
$5.24301$ |
$[1, -1, 1, -13944650, -55037057911]$ |
\(y^2+xy+y=x^3-x^2-13944650x-55037057911\) |
3.8.0-3.a.1.1, 374.2.0.?, 1122.16.0.? |
$[]$ |
| 439824.bs1 |
439824bs1 |
439824.bs |
439824bs |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{20} \cdot 3^{18} \cdot 7^{4} \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64198656$ |
$3.445183$ |
$-171327409922416869625/648555833326148352$ |
$1.02323$ |
$4.98009$ |
$[0, -1, 0, -24790488, -130458211344]$ |
\(y^2=x^3-x^2-24790488x-130458211344\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 374.2.0.?, 1122.8.0.?, 2244.16.0.? |
$[]$ |
| 439824.ex1 |
439824ex1 |
439824.ex |
439824ex |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{20} \cdot 3^{18} \cdot 7^{10} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15708$ |
$16$ |
$0$ |
$1.828821550$ |
$1$ |
|
$2$ |
$449390592$ |
$4.418137$ |
$-171327409922416869625/648555833326148352$ |
$1.02323$ |
$5.87861$ |
$[0, 1, 0, -1214733928, 44749595958836]$ |
\(y^2=x^3+x^2-1214733928x+44749595958836\) |
3.4.0.a.1, 84.8.0.?, 374.2.0.?, 1122.8.0.?, 15708.16.0.? |
$[(5774, 6158592)]$ |
