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 |
232544.f1 |
232544f1 |
232544.f |
232544f |
$1$ |
$1$ |
\( 2^{5} \cdot 13^{2} \cdot 43 \) |
\( - 2^{12} \cdot 13^{8} \cdot 43^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$11$ |
11.55.1.1 |
11Nn |
$1892$ |
$220$ |
$13$ |
$1$ |
$25$ |
$5$ |
$0$ |
$160068480$ |
$4.531860$ |
$-47675785945529664000/929293739471222707$ |
$1.18476$ |
$6.28758$ |
$[0, 0, 0, -1129345880, -86028258620304]$ |
\(y^2=x^3-1129345880x-86028258620304\) |
11.55.1.b.1, 44.110.4.a.1, 86.2.0.?, 946.110.7.?, 1892.220.13.? |
$[ ]$ |
232544.g1 |
232544g1 |
232544.g |
232544g |
$1$ |
$1$ |
\( 2^{5} \cdot 13^{2} \cdot 43 \) |
\( - 2^{12} \cdot 13^{8} \cdot 43^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$11$ |
11.55.1.1 |
11Nn |
$1892$ |
$220$ |
$13$ |
$12.68553456$ |
$1$ |
|
$0$ |
$160068480$ |
$4.531860$ |
$-47675785945529664000/929293739471222707$ |
$1.18476$ |
$6.28758$ |
$[0, 0, 0, -1129345880, 86028258620304]$ |
\(y^2=x^3-1129345880x+86028258620304\) |
11.55.1.b.1, 44.110.4.a.1, 86.2.0.?, 946.110.7.?, 1892.220.13.? |
$[(4938477488/431, 692412898151716/431)]$ |
232544.h1 |
232544h1 |
232544.h |
232544h |
$1$ |
$1$ |
\( 2^{5} \cdot 13^{2} \cdot 43 \) |
\( - 2^{12} \cdot 13^{2} \cdot 43^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$11$ |
11.55.1.1 |
11Nn |
$1892$ |
$220$ |
$13$ |
$8.568552300$ |
$9$ |
$3$ |
$2$ |
$12312960$ |
$3.249382$ |
$-47675785945529664000/929293739471222707$ |
$1.18476$ |
$5.04214$ |
$[0, 0, 0, -6682520, -39157150032]$ |
\(y^2=x^3-6682520x-39157150032\) |
11.55.1.b.1, 44.110.4.a.1, 86.2.0.?, 946.110.7.?, 1892.220.13.? |
$[(12548, 1361140)]$ |
232544.i1 |
232544i1 |
232544.i |
232544i |
$1$ |
$1$ |
\( 2^{5} \cdot 13^{2} \cdot 43 \) |
\( - 2^{12} \cdot 13^{2} \cdot 43^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$11$ |
11.55.1.1 |
11Nn |
$1892$ |
$220$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$12312960$ |
$3.249382$ |
$-47675785945529664000/929293739471222707$ |
$1.18476$ |
$5.04214$ |
$[0, 0, 0, -6682520, 39157150032]$ |
\(y^2=x^3-6682520x+39157150032\) |
11.55.1.b.1, 44.110.4.a.1, 86.2.0.?, 946.110.7.?, 1892.220.13.? |
$[ ]$ |
465088.bc1 |
465088bc1 |
465088.bc |
465088bc |
$1$ |
$1$ |
\( 2^{6} \cdot 13^{2} \cdot 43 \) |
\( - 2^{6} \cdot 13^{2} \cdot 43^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$11$ |
11.55.1.1 |
11Nn |
$1892$ |
$220$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$12312960$ |
$2.902809$ |
$-47675785945529664000/929293739471222707$ |
$1.18476$ |
$4.45564$ |
$[0, 0, 0, -1670630, 4894643754]$ |
\(y^2=x^3-1670630x+4894643754\) |
11.55.1.b.1, 44.110.4.a.1, 86.2.0.?, 946.110.7.?, 1892.220.13.? |
$[ ]$ |
465088.bd1 |
465088bd1 |
465088.bd |
465088bd |
$1$ |
$1$ |
\( 2^{6} \cdot 13^{2} \cdot 43 \) |
\( - 2^{6} \cdot 13^{2} \cdot 43^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$11$ |
11.55.1.1 |
11Nn |
$1892$ |
$220$ |
$13$ |
$8.906882637$ |
$1$ |
|
$0$ |
$12312960$ |
$2.902809$ |
$-47675785945529664000/929293739471222707$ |
$1.18476$ |
$4.45564$ |
$[0, 0, 0, -1670630, -4894643754]$ |
\(y^2=x^3-1670630x-4894643754\) |
11.55.1.b.1, 44.110.4.a.1, 86.2.0.?, 946.110.7.?, 1892.220.13.? |
$[(2854433/23, 4604156071/23)]$ |
465088.be1 |
465088be1 |
465088.be |
465088be |
$1$ |
$1$ |
\( 2^{6} \cdot 13^{2} \cdot 43 \) |
\( - 2^{6} \cdot 13^{8} \cdot 43^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$11$ |
11.55.1.1 |
11Nn |
$1892$ |
$220$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$160068480$ |
$4.185287$ |
$-47675785945529664000/929293739471222707$ |
$1.18476$ |
$5.63492$ |
$[0, 0, 0, -282336470, 10753532327538]$ |
\(y^2=x^3-282336470x+10753532327538\) |
11.55.1.b.1, 44.110.4.a.1, 86.2.0.?, 946.110.7.?, 1892.220.13.? |
$[ ]$ |
465088.bf1 |
465088bf1 |
465088.bf |
465088bf |
$1$ |
$1$ |
\( 2^{6} \cdot 13^{2} \cdot 43 \) |
\( - 2^{6} \cdot 13^{8} \cdot 43^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$11$ |
11.55.1.1 |
11Nn |
$1892$ |
$220$ |
$13$ |
$10.33378037$ |
$1$ |
|
$0$ |
$160068480$ |
$4.185287$ |
$-47675785945529664000/929293739471222707$ |
$1.18476$ |
$5.63492$ |
$[0, 0, 0, -282336470, -10753532327538]$ |
\(y^2=x^3-282336470x-10753532327538\) |
11.55.1.b.1, 44.110.4.a.1, 86.2.0.?, 946.110.7.?, 1892.220.13.? |
$[(293243561/97, 2988228617153/97)]$ |