| 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 |
| 75810.o1 |
75810i1 |
75810.o |
75810i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2626560$ |
$2.394604$ |
$4616586342451/3307500$ |
$0.93706$ |
$4.95378$ |
$[1, 1, 0, -2379358, 1410794848]$ |
\(y^2+xy=x^3+x^2-2379358x+1410794848\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[]$ |
| 75810.df1 |
75810dc1 |
75810.df |
75810dc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$0.922382$ |
$4616586342451/3307500$ |
$0.93706$ |
$3.38146$ |
$[1, 0, 0, -6591, -206379]$ |
\(y^2+xy=x^3-6591x-206379\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[]$ |
| 227430.ci1 |
227430dd1 |
227430.ci |
227430dd |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$0.518043839$ |
$1$ |
|
$31$ |
$1105920$ |
$1.471689$ |
$4616586342451/3307500$ |
$0.93706$ |
$3.61468$ |
$[1, -1, 0, -59319, 5572233]$ |
\(y^2+xy=x^3-x^2-59319x+5572233\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(117, 414), (157, 254)]$ |
| 227430.fo1 |
227430c1 |
227430.fo |
227430c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$12.44071580$ |
$1$ |
|
$1$ |
$21012480$ |
$2.943909$ |
$4616586342451/3307500$ |
$0.93706$ |
$5.04697$ |
$[1, -1, 1, -21414227, -38112875121]$ |
\(y^2+xy+y=x^3-x^2-21414227x-38112875121\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(66943407/34, 544776817199/34)]$ |
| 379050.y1 |
379050y1 |
379050.y |
379050y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$5.283315086$ |
$1$ |
|
$1$ |
$3317760$ |
$1.727102$ |
$4616586342451/3307500$ |
$0.93706$ |
$3.70954$ |
$[1, 1, 0, -164775, -25797375]$ |
\(y^2+xy=x^3+x^2-164775x-25797375\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(-2126/3, -59/3)]$ |
| 379050.iq1 |
379050iq1 |
379050.iq |
379050iq |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$12.30005897$ |
$1$ |
|
$1$ |
$63037440$ |
$3.199322$ |
$4616586342451/3307500$ |
$0.93706$ |
$5.08487$ |
$[1, 0, 0, -59483963, 176468323917]$ |
\(y^2+xy=x^3-59483963x+176468323917\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(671458/19, 1837456933/19)]$ |
