| 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 |
| 13524.f1 |
13524a1 |
13524.f |
13524a |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9792$ |
$0.430091$ |
$-3211264/1587$ |
$0.90846$ |
$3.04117$ |
$[0, -1, 0, -261, -2127]$ |
\(y^2=x^3-x^2-261x-2127\) |
6.2.0.a.1 |
$[]$ |
| 13524.h1 |
13524h1 |
13524.h |
13524h |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 7^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$68544$ |
$1.403046$ |
$-3211264/1587$ |
$0.90846$ |
$4.26859$ |
$[0, 1, 0, -12805, 755159]$ |
\(y^2=x^3+x^2-12805x+755159\) |
6.2.0.a.1 |
$[]$ |
| 40572.a1 |
40572n1 |
40572.a |
40572n |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.119609506$ |
$1$ |
|
$28$ |
$78336$ |
$0.979398$ |
$-3211264/1587$ |
$0.90846$ |
$3.34752$ |
$[0, 0, 0, -2352, 59780]$ |
\(y^2=x^3-2352x+59780\) |
6.2.0.a.1 |
$[(28, 126), (64, 414)]$ |
| 40572.x1 |
40572z1 |
40572.x |
40572z |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.302906842$ |
$1$ |
|
$2$ |
$548352$ |
$1.952353$ |
$-3211264/1587$ |
$0.90846$ |
$4.44786$ |
$[0, 0, 0, -115248, -20504540]$ |
\(y^2=x^3-115248x-20504540\) |
6.2.0.a.1 |
$[(2220, 103270)]$ |
| 54096.a1 |
54096cc1 |
54096.a |
54096cc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 7^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$274176$ |
$1.403046$ |
$-3211264/1587$ |
$0.90846$ |
$3.72563$ |
$[0, -1, 0, -12805, -755159]$ |
\(y^2=x^3-x^2-12805x-755159\) |
6.2.0.a.1 |
$[]$ |
| 54096.dh1 |
54096cj1 |
54096.dh |
54096cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$39168$ |
$0.430091$ |
$-3211264/1587$ |
$0.90846$ |
$2.65434$ |
$[0, 1, 0, -261, 2127]$ |
\(y^2=x^3+x^2-261x+2127\) |
6.2.0.a.1 |
$[]$ |
| 162288.h1 |
162288d1 |
162288.h |
162288d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.285211675$ |
$1$ |
|
$4$ |
$313344$ |
$0.979398$ |
$-3211264/1587$ |
$0.90846$ |
$2.96071$ |
$[0, 0, 0, -2352, -59780]$ |
\(y^2=x^3-2352x-59780\) |
6.2.0.a.1 |
$[(74, 414)]$ |
| 162288.gr1 |
162288cx1 |
162288.gr |
162288cx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2193408$ |
$1.952353$ |
$-3211264/1587$ |
$0.90846$ |
$3.93390$ |
$[0, 0, 0, -115248, 20504540]$ |
\(y^2=x^3-115248x+20504540\) |
6.2.0.a.1 |
$[]$ |
| 216384.f1 |
216384cl1 |
216384.f |
216384cl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3 \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.914314805$ |
$1$ |
|
$2$ |
$313344$ |
$0.776665$ |
$-3211264/1587$ |
$0.90846$ |
$2.69334$ |
$[0, -1, 0, -1045, 18061]$ |
\(y^2=x^3-x^2-1045x+18061\) |
6.2.0.a.1 |
$[(20, 69)]$ |
| 216384.eh1 |
216384ix1 |
216384.eh |
216384ix |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3 \cdot 7^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2193408$ |
$1.749620$ |
$-3211264/1587$ |
$0.90846$ |
$3.64374$ |
$[0, -1, 0, -51221, 6092493]$ |
\(y^2=x^3-x^2-51221x+6092493\) |
6.2.0.a.1 |
$[]$ |
| 216384.ep1 |
216384es1 |
216384.ep |
216384es |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3 \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$313344$ |
$0.776665$ |
$-3211264/1587$ |
$0.90846$ |
$2.69334$ |
$[0, 1, 0, -1045, -18061]$ |
\(y^2=x^3+x^2-1045x-18061\) |
6.2.0.a.1 |
$[]$ |
| 216384.iy1 |
216384cg1 |
216384.iy |
216384cg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3 \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$45.55169161$ |
$1$ |
|
$0$ |
$2193408$ |
$1.749620$ |
$-3211264/1587$ |
$0.90846$ |
$3.64374$ |
$[0, 1, 0, -51221, -6092493]$ |
\(y^2=x^3+x^2-51221x-6092493\) |
6.2.0.a.1 |
$[(247939054435464212782/554837967, 3725506549633096226765725509475/554837967)]$ |
| 311052.a1 |
311052a1 |
311052.a |
311052a |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7^{4} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$7.215828707$ |
$1$ |
|
$0$ |
$5170176$ |
$1.997839$ |
$-3211264/1587$ |
$0.90846$ |
$3.77470$ |
$[0, -1, 0, -138245, 26984721]$ |
\(y^2=x^3-x^2-138245x+26984721\) |
6.2.0.a.1 |
$[(26520/7, 3604077/7)]$ |
| 311052.bk1 |
311052bk1 |
311052.bk |
311052bk |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7^{10} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$170.7479197$ |
$1$ |
|
$0$ |
$36191232$ |
$2.970795$ |
$-3211264/1587$ |
$0.90846$ |
$4.69782$ |
$[0, 1, 0, -6774021, -9242211273]$ |
\(y^2=x^3+x^2-6774021x-9242211273\) |
6.2.0.a.1 |
$[(3280399175432400127230105479224808110148804294254793690562072820939804291138/56906058770351148650940881308227711, 187883577092027323274914199433938916661848027143847245674289872655569409930475485016872914002957362800609860470965/56906058770351148650940881308227711)]$ |
| 338100.bp1 |
338100bp1 |
338100.bp |
338100bp |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 7^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5483520$ |
$2.207764$ |
$-3211264/1587$ |
$0.90846$ |
$3.94785$ |
$[0, -1, 0, -320133, 95035137]$ |
\(y^2=x^3-x^2-320133x+95035137\) |
6.2.0.a.1 |
$[]$ |
| 338100.dp1 |
338100dp1 |
338100.dp |
338100dp |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$783360$ |
$1.234810$ |
$-3211264/1587$ |
$0.90846$ |
$3.03076$ |
$[0, 1, 0, -6533, -278937]$ |
\(y^2=x^3+x^2-6533x-278937\) |
6.2.0.a.1 |
$[]$ |
