| 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 |
| 300.a1 |
300d1 |
300.a |
300d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$240$ |
$96$ |
$1$ |
$0.121183932$ |
$1$ |
|
$15$ |
$24$ |
$-0.435252$ |
$131072/9$ |
$1.20155$ |
$3.39852$ |
$[0, -1, 0, -13, 22]$ |
\(y^2=x^3-x^2-13x+22\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 12.12.0.n.1, $\ldots$ |
$[(1, 3)]$ |
| 300.a2 |
300d2 |
300.a |
300d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$240$ |
$96$ |
$1$ |
$0.242367865$ |
$1$ |
|
$11$ |
$48$ |
$-0.088679$ |
$5488/81$ |
$1.00175$ |
$3.88911$ |
$[0, -1, 0, 12, 72]$ |
\(y^2=x^3-x^2+12x+72\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 24.24.0.eb.1, $\ldots$ |
$[(2, 10)]$ |
| 300.b1 |
300a2 |
300.b |
300a |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$90$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$108$ |
$0.255217$ |
$-30866268160/3$ |
$1.11642$ |
$5.77108$ |
$[0, -1, 0, -1213, -15863]$ |
\(y^2=x^3-x^2-1213x-15863\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 18.24.0.c.1, 30.16.0-6.b.1.1, $\ldots$ |
$[]$ |
| 300.b2 |
300a1 |
300.b |
300a |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$-0.294089$ |
$-40960/27$ |
$1.02991$ |
$3.53183$ |
$[0, -1, 0, -13, -23]$ |
\(y^2=x^3-x^2-13x-23\) |
3.4.0.a.1, 6.24.0.c.1, 15.8.0-3.a.1.2, 30.48.0-6.c.1.2 |
$[]$ |
| 300.c1 |
300b2 |
300.c |
300b |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$18$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$540$ |
$1.059937$ |
$-30866268160/3$ |
$1.11642$ |
$7.46410$ |
$[0, 1, 0, -30333, -2043537]$ |
\(y^2=x^3+x^2-30333x-2043537\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1, 18.48.0-18.c.1.1 |
$[]$ |
| 300.c2 |
300b1 |
300.c |
300b |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$180$ |
$0.510630$ |
$-40960/27$ |
$1.02991$ |
$5.22485$ |
$[0, 1, 0, -333, -3537]$ |
\(y^2=x^3+x^2-333x-3537\) |
3.8.0-3.a.1.2, 6.48.0-6.c.1.2 |
$[]$ |
| 300.d1 |
300c1 |
300.d |
300c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$120$ |
$0.369467$ |
$131072/9$ |
$1.20155$ |
$5.09154$ |
$[0, 1, 0, -333, 2088]$ |
\(y^2=x^3+x^2-333x+2088\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 12.12.0.n.1, $\ldots$ |
$[]$ |
| 300.d2 |
300c2 |
300.d |
300c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$240$ |
$0.716041$ |
$5488/81$ |
$1.00175$ |
$5.58214$ |
$[0, 1, 0, 292, 9588]$ |
\(y^2=x^3+x^2+292x+9588\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 24.24.0.eb.1, $\ldots$ |
$[]$ |
