| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 2110.a1 |
2110d1 |
2110.a |
2110d |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{6} \cdot 5 \cdot 211 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2110$ |
$2$ |
$0$ |
$0.297946214$ |
$1$ |
|
$6$ |
$192$ |
$-0.359889$ |
$-217081801/67520$ |
$0.78615$ |
$2.56399$ |
$1$ |
$[1, 1, 0, -12, 16]$ |
\(y^2+xy=x^3+x^2-12x+16\) |
2110.2.0.? |
$[(0, 4)]$ |
$1$ |
| 2110.b1 |
2110c1 |
2110.b |
2110c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{2} \cdot 5^{5} \cdot 211 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2110$ |
$2$ |
$0$ |
$0.157680087$ |
$1$ |
|
$8$ |
$320$ |
$-0.087021$ |
$214921799/2637500$ |
$0.84743$ |
$2.89920$ |
$1$ |
$[1, 1, 0, 13, -71]$ |
\(y^2+xy=x^3+x^2+13x-71\) |
2110.2.0.? |
$[(8, 21)]$ |
$1$ |
| 2110.c1 |
2110a3 |
2110.c |
2110a |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{36} \cdot 5 \cdot 211 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$18990$ |
$144$ |
$3$ |
$11.22097069$ |
$1$ |
|
$0$ |
$10368$ |
$1.661968$ |
$-391548577623122867401/72499047956480$ |
$0.98239$ |
$6.19470$ |
$1$ |
$[1, 0, 1, -152413, -22918664]$ |
\(y^2+xy+y=x^3-152413x-22918664\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 1899.72.0.?, 2110.2.0.?, 6330.16.0.?, $\ldots$ |
$[(37990723/33, 233521204478/33)]$ |
$1$ |
| 2110.c2 |
2110a1 |
2110.c |
2110a |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{4} \cdot 5^{9} \cdot 211 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$18990$ |
$144$ |
$3$ |
$1.246774522$ |
$1$ |
|
$6$ |
$1152$ |
$0.563356$ |
$-27027009001/6593750000$ |
$0.94570$ |
$3.92798$ |
$3$ |
$[1, 0, 1, -63, 3906]$ |
\(y^2+xy+y=x^3-63x+3906\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 1899.72.0.?, 2110.2.0.?, 6330.16.0.?, $\ldots$ |
$[(15, 72)]$ |
$1$ |
| 2110.c3 |
2110a2 |
2110.c |
2110a |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{12} \cdot 5^{3} \cdot 211^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$18990$ |
$144$ |
$3$ |
$3.740323566$ |
$1$ |
|
$4$ |
$3456$ |
$1.112663$ |
$19680813080999/4809692672000$ |
$1.03732$ |
$4.78859$ |
$1$ |
$[1, 0, 1, 562, -105344]$ |
\(y^2+xy+y=x^3+562x-105344\) |
3.24.0-3.a.1.1, 1899.72.0.?, 2110.2.0.?, 6330.48.1.?, 18990.144.3.? |
$[(34885, 6498237)]$ |
$1$ |
| 2110.d1 |
2110b1 |
2110.d |
2110b |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{8} \cdot 5 \cdot 211 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2110$ |
$2$ |
$0$ |
$0.491365364$ |
$1$ |
|
$4$ |
$256$ |
$-0.251189$ |
$-594823321/270080$ |
$0.92320$ |
$2.71515$ |
$1$ |
$[1, 0, 1, -18, 36]$ |
\(y^2+xy+y=x^3-18x+36\) |
2110.2.0.? |
$[(-3, 9)]$ |
$1$ |
| 2110.e1 |
2110h1 |
2110.e |
2110h |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{14} \cdot 5^{7} \cdot 211 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$14770$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$5600$ |
$1.077579$ |
$-125180837135497521/270080000000$ |
$1.02427$ |
$5.14371$ |
$1$ |
$[1, -1, 1, -10422, 412869]$ |
\(y^2+xy+y=x^3-x^2-10422x+412869\) |
7.48.0-7.a.1.2, 2110.2.0.?, 14770.96.2.? |
$[ ]$ |
$1$ |
| 2110.e2 |
2110h2 |
2110.e |
2110h |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{2} \cdot 5 \cdot 211^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$14770$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$39200$ |
$2.050533$ |
$225376208668020879/372397865250251420$ |
$1.07166$ |
$6.25952$ |
$1$ |
$[1, -1, 1, 12678, -29358411]$ |
\(y^2+xy+y=x^3-x^2+12678x-29358411\) |
7.48.0-7.a.2.2, 2110.2.0.?, 14770.96.2.? |
$[ ]$ |
$1$ |
| 2110.f1 |
2110e2 |
2110.f |
2110e |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{2} \cdot 5 \cdot 211^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$2110$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4800$ |
$1.181635$ |
$-13741393887617761/8364544041020$ |
$0.94510$ |
$4.94849$ |
$1$ |
$[1, 1, 1, -4990, -196425]$ |
\(y^2+xy+y=x^3+x^2-4990x-196425\) |
5.24.0-5.a.2.2, 2110.48.1.? |
$[ ]$ |
$1$ |
| 2110.f2 |
2110e1 |
2110.f |
2110e |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{10} \cdot 5^{5} \cdot 211 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$2110$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$960$ |
$0.376916$ |
$-80677568161/675200000$ |
$0.89700$ |
$3.63868$ |
$1$ |
$[1, 1, 1, -90, 1255]$ |
\(y^2+xy+y=x^3+x^2-90x+1255\) |
5.24.0-5.a.1.2, 2110.48.1.? |
$[ ]$ |
$1$ |
| 2110.g1 |
2110g1 |
2110.g |
2110g |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{20} \cdot 5^{7} \cdot 211 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147840$ |
$2.493130$ |
$-546175974532075194624254001/17285120000000$ |
$1.04682$ |
$8.04304$ |
$1$ |
$[1, -1, 1, -17029542, -27044826059]$ |
\(y^2+xy+y=x^3-x^2-17029542x-27044826059\) |
2110.2.0.? |
$[ ]$ |
$1$ |
| 2110.h1 |
2110f1 |
2110.h |
2110f |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{2} \cdot 5 \cdot 211 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$-0.617640$ |
$4019679/4220$ |
$0.73880$ |
$1.98665$ |
$1$ |
$[1, -1, 1, 3, 1]$ |
\(y^2+xy+y=x^3-x^2+3x+1\) |
2110.2.0.? |
$[ ]$ |
$1$ |