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 |
29963.b2 |
29963b2 |
29963.b |
29963b |
$2$ |
$2$ |
\( 19^{2} \cdot 83 \) |
\( - 19^{9} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$154280$ |
$1.630619$ |
$5177717/6889$ |
$0.78719$ |
$4.09611$ |
$[1, 0, 0, 24721, 1707244]$ |
\(y^2+xy=x^3+24721x+1707244\) |
2.3.0.a.1, 38.6.0.b.1, 332.6.0.?, 6308.12.0.? |
$[]$ |
29963.d2 |
29963a2 |
29963.d |
29963a |
$2$ |
$2$ |
\( 19^{2} \cdot 83 \) |
\( - 19^{3} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8120$ |
$0.158400$ |
$5177717/6889$ |
$0.78719$ |
$2.38218$ |
$[1, 1, 0, 69, -220]$ |
\(y^2+xy=x^3+x^2+69x-220\) |
2.3.0.a.1, 38.6.0.b.1, 332.6.0.?, 6308.12.0.? |
$[]$ |
269667.e2 |
269667e2 |
269667.e |
269667e |
$2$ |
$2$ |
\( 3^{2} \cdot 19^{2} \cdot 83 \) |
\( - 3^{6} \cdot 19^{3} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$194880$ |
$0.707706$ |
$5177717/6889$ |
$0.78719$ |
$2.49074$ |
$[1, -1, 1, 616, 6558]$ |
\(y^2+xy+y=x^3-x^2+616x+6558\) |
2.3.0.a.1, 38.6.0.b.1, 332.6.0.?, 6308.12.0.? |
$[]$ |
269667.m2 |
269667m2 |
269667.m |
269667m |
$2$ |
$2$ |
\( 3^{2} \cdot 19^{2} \cdot 83 \) |
\( - 3^{6} \cdot 19^{9} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6308$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3702720$ |
$2.179924$ |
$5177717/6889$ |
$0.78719$ |
$3.90351$ |
$[1, -1, 0, 222489, -46095588]$ |
\(y^2+xy=x^3-x^2+222489x-46095588\) |
2.3.0.a.1, 38.6.0.b.1, 332.6.0.?, 6308.12.0.? |
$[]$ |
479408.d2 |
479408d2 |
479408.d |
479408d |
$2$ |
$2$ |
\( 2^{4} \cdot 19^{2} \cdot 83 \) |
\( - 2^{12} \cdot 19^{3} \cdot 83^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6308$ |
$12$ |
$0$ |
$2.793793038$ |
$1$ |
|
$13$ |
$519680$ |
$0.851547$ |
$5177717/6889$ |
$0.78719$ |
$2.51314$ |
$[0, 1, 0, 1096, 16276]$ |
\(y^2=x^3+x^2+1096x+16276\) |
2.3.0.a.1, 38.6.0.b.1, 332.6.0.?, 6308.12.0.? |
$[(6, 152), (734, 19920)]$ |
479408.y2 |
479408y2 |
479408.y |
479408y |
$2$ |
$2$ |
\( 2^{4} \cdot 19^{2} \cdot 83 \) |
\( - 2^{12} \cdot 19^{9} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6308$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$9873920$ |
$2.323765$ |
$5177717/6889$ |
$0.78719$ |
$3.86377$ |
$[0, -1, 0, 395536, -109263616]$ |
\(y^2=x^3-x^2+395536x-109263616\) |
2.3.0.a.1, 38.6.0.b.1, 332.6.0.?, 6308.12.0.? |
$[]$ |