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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
8372.g1 |
8372e1 |
8372.g |
8372e |
$2$ |
$3$ |
\( 2^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1794$ |
$16$ |
$0$ |
$2.289319781$ |
$1$ |
|
$4$ |
$3456$ |
$0.471578$ |
$-2932006912/7750379$ |
$[0, 1, 0, -189, 2303]$ |
\(y^2=x^3+x^2-189x+2303\) |
3.8.0-3.a.1.2, 598.2.0.?, 1794.16.0.? |
$[(-14, 49)]$ |
33488.n1 |
33488p1 |
33488.n |
33488p |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3588$ |
$16$ |
$0$ |
$2.399915519$ |
$1$ |
|
$2$ |
$13824$ |
$0.471578$ |
$-2932006912/7750379$ |
$[0, -1, 0, -189, -2303]$ |
\(y^2=x^3-x^2-189x-2303\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 3588.16.0.? |
$[(49, 322)]$ |
58604.b1 |
58604f1 |
58604.b |
58604f |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13 \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$0.802672484$ |
$1$ |
|
$14$ |
$165888$ |
$1.444532$ |
$-2932006912/7750379$ |
$[0, -1, 0, -9277, -808471]$ |
\(y^2=x^3-x^2-9277x-808471\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 12558.16.0.? |
$[(635, 15778), (152, 1127)]$ |
75348.c1 |
75348o1 |
75348.c |
75348o |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1794$ |
$16$ |
$0$ |
$7.846467888$ |
$1$ |
|
$0$ |
$103680$ |
$1.020884$ |
$-2932006912/7750379$ |
$[0, 0, 0, -1704, -63884]$ |
\(y^2=x^3-1704x-63884\) |
3.8.0-3.a.1.1, 598.2.0.?, 1794.16.0.? |
$[(4357/9, 7021/9)]$ |
108836.g1 |
108836c1 |
108836.g |
108836c |
$2$ |
$3$ |
\( 2^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1794$ |
$16$ |
$0$ |
$0.639122285$ |
$1$ |
|
$2$ |
$580608$ |
$1.754053$ |
$-2932006912/7750379$ |
$[0, 1, 0, -31997, 5187599]$ |
\(y^2=x^3+x^2-31997x+5187599\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 138.8.0.?, 598.2.0.?, 1794.16.0.? |
$[(914, 27209)]$ |
133952.v1 |
133952cb1 |
133952.v |
133952cb |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$0.836239405$ |
$1$ |
|
$2$ |
$110592$ |
$0.818151$ |
$-2932006912/7750379$ |
$[0, -1, 0, -757, 19181]$ |
\(y^2=x^3-x^2-757x+19181\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[(-20, 161)]$ |
133952.bt1 |
133952y1 |
133952.bt |
133952y |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$0.818151$ |
$-2932006912/7750379$ |
$[0, 1, 0, -757, -19181]$ |
\(y^2=x^3+x^2-757x-19181\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[]$ |
192556.l1 |
192556l1 |
192556.l |
192556l |
$2$ |
$3$ |
\( 2^{2} \cdot 7 \cdot 13 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 13 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1794$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1824768$ |
$2.039326$ |
$-2932006912/7750379$ |
$[0, 1, 0, -100157, -28821409]$ |
\(y^2=x^3+x^2-100157x-28821409\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 78.8.0.?, 598.2.0.?, 1794.16.0.? |
$[]$ |
209300.e1 |
209300e1 |
209300.e |
209300e |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8970$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$1.276297$ |
$-2932006912/7750379$ |
$[0, -1, 0, -4733, 297337]$ |
\(y^2=x^3-x^2-4733x+297337\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 8970.16.0.? |
$[]$ |
234416.bi1 |
234416bi1 |
234416.bi |
234416bi |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25116$ |
$16$ |
$0$ |
$1.305353264$ |
$1$ |
|
$4$ |
$663552$ |
$1.444532$ |
$-2932006912/7750379$ |
$[0, 1, 0, -9277, 808471]$ |
\(y^2=x^3+x^2-9277x+808471\) |
3.4.0.a.1, 84.8.0.?, 598.2.0.?, 1794.8.0.?, 25116.16.0.? |
$[(51, 686)]$ |
301392.i1 |
301392i1 |
301392.i |
301392i |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3588$ |
$16$ |
$0$ |
$0.537581569$ |
$1$ |
|
$4$ |
$414720$ |
$1.020884$ |
$-2932006912/7750379$ |
$[0, 0, 0, -1704, 63884]$ |
\(y^2=x^3-1704x+63884\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 3588.16.0.? |
$[(50, 322)]$ |
435344.p1 |
435344p1 |
435344.p |
435344p |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3588$ |
$16$ |
$0$ |
$1.111406347$ |
$1$ |
|
$4$ |
$2322432$ |
$1.754053$ |
$-2932006912/7750379$ |
$[0, -1, 0, -31997, -5187599]$ |
\(y^2=x^3-x^2-31997x-5187599\) |
3.4.0.a.1, 156.8.0.?, 276.8.0.?, 598.2.0.?, 1794.8.0.?, $\ldots$ |
$[(269, 2366)]$ |