| 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 |
| 220.a1 |
220a4 |
220.a |
220a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$660$ |
$96$ |
$1$ |
$4.388142733$ |
$1$ |
|
$3$ |
$216$ |
$0.714450$ |
$154639330142416/33275$ |
$0.97344$ |
$7.08564$ |
$[0, 1, 0, -7100, -232652]$ |
\(y^2=x^3+x^2-7100x-232652\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(131, 1050)]$ |
| 220.a2 |
220a3 |
220.a |
220a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$660$ |
$96$ |
$1$ |
$2.194071366$ |
$1$ |
|
$3$ |
$108$ |
$0.367877$ |
$610462990336/8857805$ |
$1.02612$ |
$5.54545$ |
$[0, 1, 0, -445, -3720]$ |
\(y^2=x^3+x^2-445x-3720\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 10.6.0.a.1, 30.48.0-30.a.1.2, $\ldots$ |
$[(-12, 6)]$ |
| 220.a3 |
220a2 |
220.a |
220a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \) |
\( 2^{8} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$660$ |
$96$ |
$1$ |
$1.462714244$ |
$1$ |
|
$13$ |
$72$ |
$0.165144$ |
$436334416/171875$ |
$0.87819$ |
$4.71651$ |
$[0, 1, 0, -100, -252]$ |
\(y^2=x^3+x^2-100x-252\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(-8, 10)]$ |
| 220.a4 |
220a1 |
220.a |
220a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$660$ |
$96$ |
$1$ |
$0.731357122$ |
$1$ |
|
$17$ |
$36$ |
$-0.181429$ |
$643956736/15125$ |
$0.96705$ |
$4.27462$ |
$[0, 1, 0, -45, 100]$ |
\(y^2=x^3+x^2-45x+100\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 10.6.0.a.1, 30.48.0-30.a.1.4, $\ldots$ |
$[(3, 1)]$ |
| 220.b1 |
220b2 |
220.b |
220b |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \) |
\( 2^{8} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24$ |
$-0.199074$ |
$94875856/275$ |
$0.82986$ |
$4.43361$ |
$[0, -1, 0, -60, 200]$ |
\(y^2=x^3-x^2-60x+200\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[]$ |
| 220.b2 |
220b1 |
220.b |
220b |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12$ |
$-0.545648$ |
$1048576/605$ |
$1.25294$ |
$3.08429$ |
$[0, -1, 0, -5, 2]$ |
\(y^2=x^3-x^2-5x+2\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[]$ |
