| 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 |
Manin constant |
| 57498.k2 |
57498m1 |
57498.k |
57498m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{2} \cdot 37^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5114880$ |
$3.099552$ |
$476562552731/780337152$ |
$0.98855$ |
$5.47398$ |
$[1, 0, 1, 8242720, 12320876846]$ |
\(y^2+xy+y=x^3+8242720x+12320876846\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[ ]$ |
$1$ |
| 57498.q2 |
57498w1 |
57498.q |
57498w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{2} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$0.300888648$ |
$1$ |
|
$11$ |
$138240$ |
$1.294094$ |
$476562552731/780337152$ |
$0.98855$ |
$3.49711$ |
$[1, 0, 0, 6021, 243729]$ |
\(y^2+xy=x^3+6021x+243729\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[(30, 657)]$ |
$1$ |
| 172494.n2 |
172494ba1 |
172494.n |
172494ba |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 37^{2} \) |
\( - 2^{16} \cdot 3^{11} \cdot 7^{2} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1105920$ |
$1.843401$ |
$476562552731/780337152$ |
$0.98855$ |
$3.72515$ |
$[1, -1, 0, 54189, -6580683]$ |
\(y^2+xy=x^3-x^2+54189x-6580683\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[ ]$ |
$1$ |
| 172494.s2 |
172494d1 |
172494.s |
172494d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 37^{2} \) |
\( - 2^{16} \cdot 3^{11} \cdot 7^{2} \cdot 37^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$7.857041321$ |
$1$ |
|
$3$ |
$40919040$ |
$3.648861$ |
$476562552731/780337152$ |
$0.98855$ |
$5.52191$ |
$[1, -1, 1, 74184484, -332663674849]$ |
\(y^2+xy+y=x^3-x^2+74184484x-332663674849\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[(64281, 16400905)]$ |
$1$ |
| 402486.g2 |
402486g1 |
402486.g |
402486g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 37^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{8} \cdot 37^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$38.38850296$ |
$1$ |
|
$1$ |
$245514240$ |
$4.072510$ |
$476562552731/780337152$ |
$0.98855$ |
$5.55330$ |
$[1, 1, 0, 403893304, -4225656864960]$ |
\(y^2+xy=x^3+x^2+403893304x-4225656864960\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[(734639448742735312/1276197, 629809924176618990947830904/1276197)]$ |
$1$ |
| 402486.df2 |
402486df1 |
402486.df |
402486df |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 37^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{8} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$2.267048$ |
$476562552731/780337152$ |
$0.98855$ |
$3.87451$ |
$[1, 1, 1, 295028, -83304019]$ |
\(y^2+xy+y=x^3+x^2+295028x-83304019\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[ ]$ |
$1$ |
| 459984.l2 |
459984l1 |
459984.l |
459984l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{28} \cdot 3^{5} \cdot 7^{2} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$7.716206868$ |
$1$ |
|
$3$ |
$3317760$ |
$1.987242$ |
$476562552731/780337152$ |
$0.98855$ |
$3.57731$ |
$[0, -1, 0, 96336, -15598656]$ |
\(y^2=x^3-x^2+96336x-15598656\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[(13493, 1567690)]$ |
$1$ |
| 459984.bj2 |
459984bj1 |
459984.bj |
459984bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{28} \cdot 3^{5} \cdot 7^{2} \cdot 37^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$65.80131081$ |
$1$ |
|
$1$ |
$122757120$ |
$3.792702$ |
$476562552731/780337152$ |
$0.98855$ |
$5.23891$ |
$[0, -1, 0, 131883528, -788536118160]$ |
\(y^2=x^3-x^2+131883528x-788536118160\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[(981665340941591858093712619676/12557048528287, 1036041030862242433200964609162249689858703360/12557048528287)]$ |
$1$ |
