| 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 |
| 110.a1 |
110c1 |
110.a |
110c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2^{7} \cdot 5 \cdot 11^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$28$ |
$-0.047191$ |
$-76711450249/851840$ |
$0.93960$ |
$5.33612$ |
$[1, 0, 1, -89, 316]$ |
\(y^2+xy+y=x^3-89x+316\) |
3.8.0-3.a.1.2, 440.2.0.?, 1320.16.0.? |
$[]$ |
| 110.a2 |
110c2 |
110.a |
110c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2^{21} \cdot 5^{3} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84$ |
$0.502115$ |
$2882081488391/2883584000$ |
$0.98944$ |
$6.10353$ |
$[1, 0, 1, 296, 1702]$ |
\(y^2+xy+y=x^3+296x+1702\) |
3.8.0-3.a.1.1, 440.2.0.?, 1320.16.0.? |
$[]$ |
| 110.b1 |
110a2 |
110.b |
110a |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2 \cdot 5 \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$100$ |
$0.645076$ |
$-23178622194826561/1610510$ |
$1.01294$ |
$8.01663$ |
$[1, 1, 1, -5940, -178685]$ |
\(y^2+xy+y=x^3+x^2-5940x-178685\) |
5.24.0-5.a.2.2, 440.48.1.? |
$[]$ |
| 110.b2 |
110a1 |
110.b |
110a |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2^{5} \cdot 5^{5} \cdot 11 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$20$ |
$-0.159643$ |
$109902239/1100000$ |
$0.94438$ |
$4.53272$ |
$[1, 1, 1, 10, -45]$ |
\(y^2+xy+y=x^3+x^2+10x-45\) |
5.24.0-5.a.1.2, 440.48.1.? |
$[]$ |
| 110.c1 |
110b1 |
110.c |
110b |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2^{3} \cdot 5 \cdot 11 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.807105$ |
$-117649/440$ |
$0.93815$ |
$2.91148$ |
$[1, 0, 0, -1, 1]$ |
\(y^2+xy=x^3-x+1\) |
3.8.0-3.a.1.2, 440.2.0.?, 1320.16.0.? |
$[]$ |
| 110.c2 |
110b2 |
110.c |
110b |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2 \cdot 5^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$-0.257799$ |
$80062991/332750$ |
$0.92204$ |
$4.25912$ |
$[1, 0, 0, 9, -25]$ |
\(y^2+xy=x^3+9x-25\) |
3.8.0-3.a.1.1, 440.2.0.?, 1320.16.0.? |
$[]$ |
