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 |
8732.b1 |
8732a1 |
8732.b |
8732a |
$1$ |
$1$ |
\( 2^{2} \cdot 37 \cdot 59 \) |
\( - 2^{4} \cdot 37 \cdot 59 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$0.559253810$ |
$1$ |
|
$14$ |
$456$ |
$-0.449064$ |
$-6912/2183$ |
$0.81119$ |
$1.97445$ |
$[0, 0, 0, -1, 9]$ |
\(y^2=x^3-x+9\) |
4366.2.0.? |
$[(1, 3), (-1, 3)]$ |
34928.c1 |
34928f1 |
34928.c |
34928f |
$1$ |
$1$ |
\( 2^{4} \cdot 37 \cdot 59 \) |
\( - 2^{4} \cdot 37 \cdot 59 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$2.710239926$ |
$1$ |
|
$0$ |
$1824$ |
$-0.449064$ |
$-6912/2183$ |
$0.81119$ |
$1.71279$ |
$[0, 0, 0, -1, -9]$ |
\(y^2=x^3-x-9\) |
4366.2.0.? |
$[(9/2, 3/2)]$ |
78588.m1 |
78588i1 |
78588.m |
78588i |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 37 \cdot 59 \) |
\( - 2^{4} \cdot 3^{6} \cdot 37 \cdot 59 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14592$ |
$0.100242$ |
$-6912/2183$ |
$0.81119$ |
$2.17435$ |
$[0, 0, 0, -9, -243]$ |
\(y^2=x^3-9x-243\) |
4366.2.0.? |
$[]$ |
139712.i1 |
139712l1 |
139712.i |
139712l |
$1$ |
$1$ |
\( 2^{6} \cdot 37 \cdot 59 \) |
\( - 2^{10} \cdot 37 \cdot 59 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$3.310311250$ |
$1$ |
|
$0$ |
$14592$ |
$-0.102490$ |
$-6912/2183$ |
$0.81119$ |
$1.86341$ |
$[0, 0, 0, -4, 72]$ |
\(y^2=x^3-4x+72\) |
4366.2.0.? |
$[(9/2, 69/2)]$ |
139712.j1 |
139712e1 |
139712.j |
139712e |
$1$ |
$1$ |
\( 2^{6} \cdot 37 \cdot 59 \) |
\( - 2^{10} \cdot 37 \cdot 59 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$6.713373593$ |
$1$ |
|
$0$ |
$14592$ |
$-0.102490$ |
$-6912/2183$ |
$0.81119$ |
$1.86341$ |
$[0, 0, 0, -4, -72]$ |
\(y^2=x^3-4x-72\) |
4366.2.0.? |
$[(641/8, 15297/8)]$ |
218300.e1 |
218300f1 |
218300.e |
218300f |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 37 \cdot 59 \) |
\( - 2^{4} \cdot 5^{6} \cdot 37 \cdot 59 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$2.815968947$ |
$1$ |
|
$2$ |
$58368$ |
$0.355655$ |
$-6912/2183$ |
$0.81119$ |
$2.24297$ |
$[0, 0, 0, -25, 1125]$ |
\(y^2=x^3-25x+1125\) |
4366.2.0.? |
$[(4, 33)]$ |
314352.cc1 |
314352cc1 |
314352.cc |
314352cc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 37 \cdot 59 \) |
\( - 2^{4} \cdot 3^{6} \cdot 37 \cdot 59 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$1.304506921$ |
$1$ |
|
$2$ |
$58368$ |
$0.100242$ |
$-6912/2183$ |
$0.81119$ |
$1.93623$ |
$[0, 0, 0, -9, 243]$ |
\(y^2=x^3-9x+243\) |
4366.2.0.? |
$[(-6, 9)]$ |
323084.e1 |
323084e1 |
323084.e |
323084e |
$1$ |
$1$ |
\( 2^{2} \cdot 37^{2} \cdot 59 \) |
\( - 2^{4} \cdot 37^{7} \cdot 59 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$4.408287489$ |
$1$ |
|
$0$ |
$623808$ |
$1.356396$ |
$-6912/2183$ |
$0.81119$ |
$3.12030$ |
$[0, 0, 0, -1369, 455877]$ |
\(y^2=x^3-1369x+455877\) |
4366.2.0.? |
$[(2849/2, 151959/2)]$ |
427868.c1 |
427868c1 |
427868.c |
427868c |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 37 \cdot 59 \) |
\( - 2^{4} \cdot 7^{6} \cdot 37 \cdot 59 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4366$ |
$2$ |
$0$ |
$9.230382735$ |
$1$ |
|
$6$ |
$172368$ |
$0.523891$ |
$-6912/2183$ |
$0.81119$ |
$2.28226$ |
$[0, 0, 0, -49, -3087]$ |
\(y^2=x^3-49x-3087\) |
4366.2.0.? |
$[(29, 141), (16, 15)]$ |