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 |
30446.f1 |
30446d2 |
30446.f |
30446d |
$2$ |
$3$ |
\( 2 \cdot 13 \cdot 1171 \) |
\( 2^{18} \cdot 13^{2} \cdot 1171^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$14052$ |
$16$ |
$0$ |
$1.723669262$ |
$1$ |
|
$0$ |
$321408$ |
$1.923306$ |
$124137466544322579817/71137289216720896$ |
$0.97070$ |
$4.48171$ |
$[1, 0, 1, -103927, -1282982]$ |
\(y^2+xy+y=x^3-103927x-1282982\) |
3.8.0-3.a.1.1, 4684.2.0.?, 14052.16.0.? |
$[(-30961/11, 4066708/11)]$ |
243568.g1 |
243568g2 |
243568.g |
243568g |
$2$ |
$3$ |
\( 2^{4} \cdot 13 \cdot 1171 \) |
\( 2^{30} \cdot 13^{2} \cdot 1171^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14052$ |
$16$ |
$0$ |
$10.97629412$ |
$1$ |
|
$0$ |
$7713792$ |
$2.616451$ |
$124137466544322579817/71137289216720896$ |
$0.97070$ |
$4.40095$ |
$[0, -1, 0, -1662824, 82110832]$ |
\(y^2=x^3-x^2-1662824x+82110832\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 4684.2.0.?, 7026.8.0.?, 14052.16.0.? |
$[(-295406/15, 2134522/15)]$ |
274014.m1 |
274014m2 |
274014.m |
274014m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 1171 \) |
\( 2^{18} \cdot 3^{6} \cdot 13^{2} \cdot 1171^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$14052$ |
$16$ |
$0$ |
$3.865742028$ |
$1$ |
|
$4$ |
$9642240$ |
$2.472610$ |
$124137466544322579817/71137289216720896$ |
$0.97070$ |
$4.22170$ |
$[1, -1, 1, -935339, 34640507]$ |
\(y^2+xy+y=x^3-x^2-935339x+34640507\) |
3.8.0-3.a.1.2, 4684.2.0.?, 14052.16.0.? |
$[(19, 4098)]$ |
395798.t1 |
395798t2 |
395798.t |
395798t |
$2$ |
$3$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{18} \cdot 13^{8} \cdot 1171^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$182676$ |
$16$ |
$0$ |
$0.539153684$ |
$1$ |
|
$4$ |
$53996544$ |
$3.205780$ |
$124137466544322579817/71137289216720896$ |
$0.97070$ |
$4.78387$ |
$[1, 0, 0, -17563582, -2801147324]$ |
\(y^2+xy=x^3-17563582x-2801147324\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 4684.2.0.?, 14052.8.0.?, 182676.16.0.? |
$[(75180, 20543906)]$ |