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.bc1 |
75810ba1 |
75810.bc |
75810ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7^{6} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$4.553250519$ |
$1$ |
|
$3$ |
$30643200$ |
$3.673401$ |
$1690513270434786979/164670952320000$ |
$1.00643$ |
$6.09395$ |
$[1, 1, 0, -170225947, -779657288291]$ |
\(y^2+xy=x^3+x^2-170225947x-779657288291\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(-7642, 277661)]$ |
75810.dt1 |
75810dr1 |
75810.dt |
75810dr |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$0.058793765$ |
$1$ |
|
$27$ |
$1612800$ |
$2.201183$ |
$1690513270434786979/164670952320000$ |
$1.00643$ |
$4.52162$ |
$[1, 0, 0, -471540, 113619600]$ |
\(y^2+xy=x^3-471540x+113619600\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(240, 3660)]$ |
227430.y1 |
227430eq1 |
227430.y |
227430eq |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{13} \cdot 5^{4} \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1.165230696$ |
$1$ |
|
$7$ |
$12902400$ |
$2.750488$ |
$1690513270434786979/164670952320000$ |
$1.00643$ |
$4.65330$ |
$[1, -1, 0, -4243860, -3067729200]$ |
\(y^2+xy=x^3-x^2-4243860x-3067729200\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(-1287, 16803)]$ |
227430.el1 |
227430bi1 |
227430.el |
227430bi |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{13} \cdot 5^{4} \cdot 7^{6} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245145600$ |
$4.222710$ |
$1690513270434786979/164670952320000$ |
$1.00643$ |
$6.08558$ |
$[1, -1, 1, -1532033528, 21049214750331]$ |
\(y^2+xy+y=x^3-x^2-1532033528x+21049214750331\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[]$ |
379050.p1 |
379050p1 |
379050.p |
379050p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{10} \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$10.93332261$ |
$1$ |
|
$1$ |
$38707200$ |
$3.005901$ |
$1690513270434786979/164670952320000$ |
$1.00643$ |
$4.70685$ |
$[1, 1, 0, -11788500, 14202450000]$ |
\(y^2+xy=x^3+x^2-11788500x+14202450000\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(1150195/17, 846069080/17)]$ |
379050.ii1 |
379050ii1 |
379050.ii |
379050ii |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{10} \cdot 7^{6} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$6.196727126$ |
$1$ |
|
$5$ |
$735436800$ |
$4.478119$ |
$1690513270434786979/164670952320000$ |
$1.00643$ |
$6.08218$ |
$[1, 0, 0, -4255648688, -97448649739008]$ |
\(y^2+xy=x^3-4255648688x-97448649739008\) |
2.3.0.a.1, 114.6.0.?, 168.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(-28814, 1132930)]$ |