| 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 |
| 7406.g1 |
7406f1 |
7406.g |
7406f |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.163443881$ |
$1$ |
|
$8$ |
$2016$ |
$-0.060254$ |
$8947391/6272$ |
$1.06774$ |
$2.50031$ |
$[1, 1, 1, 35, 51]$ |
\(y^2+xy+y=x^3+x^2+35x+51\) |
8.2.0.a.1 |
$[(3, 12)]$ |
| 7406.h1 |
7406h1 |
7406.h |
7406h |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46368$ |
$1.507494$ |
$8947391/6272$ |
$1.06774$ |
$4.61174$ |
$[1, 1, 1, 18504, -437639]$ |
\(y^2+xy+y=x^3+x^2+18504x-437639\) |
8.2.0.a.1 |
$[]$ |
| 51842.n1 |
51842n1 |
51842.n |
51842n |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{7} \cdot 7^{8} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2225664$ |
$2.480450$ |
$8947391/6272$ |
$1.06774$ |
$4.86058$ |
$[1, 0, 0, 906695, 152830201]$ |
\(y^2+xy=x^3+906695x+152830201\) |
8.2.0.a.1 |
$[]$ |
| 51842.o1 |
51842m1 |
51842.o |
51842m |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{7} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$0.912702$ |
$8947391/6272$ |
$1.06774$ |
$3.12762$ |
$[1, 0, 0, 1714, -12412]$ |
\(y^2+xy=x^3+1714x-12412\) |
8.2.0.a.1 |
$[]$ |
| 59248.v1 |
59248ba1 |
59248.v |
59248ba |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{19} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.632894$ |
$8947391/6272$ |
$1.06774$ |
$2.78408$ |
$[0, 1, 0, 560, -2156]$ |
\(y^2=x^3+x^2+560x-2156\) |
8.2.0.a.1 |
$[]$ |
| 59248.x1 |
59248s1 |
59248.x |
59248s |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{19} \cdot 7^{2} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$4.676489941$ |
$1$ |
|
$2$ |
$1112832$ |
$2.200642$ |
$8947391/6272$ |
$1.06774$ |
$4.49599$ |
$[0, 1, 0, 296064, 28601012]$ |
\(y^2=x^3+x^2+296064x+28601012\) |
8.2.0.a.1 |
$[(-92, 770)]$ |
| 66654.a1 |
66654bc1 |
66654.a |
66654bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1391040$ |
$2.056801$ |
$8947391/6272$ |
$1.06774$ |
$4.29291$ |
$[1, -1, 0, 166536, 11982784]$ |
\(y^2+xy=x^3-x^2+166536x+11982784\) |
8.2.0.a.1 |
$[]$ |
| 66654.bc1 |
66654q1 |
66654.bc |
66654q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.640718016$ |
$1$ |
|
$0$ |
$60480$ |
$0.489053$ |
$8947391/6272$ |
$1.06774$ |
$2.59916$ |
$[1, -1, 0, 315, -1067]$ |
\(y^2+xy=x^3-x^2+315x-1067\) |
8.2.0.a.1 |
$[(51/2, 509/2)]$ |
| 185150.t1 |
185150cj1 |
185150.t |
185150cj |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 5^{6} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3709440$ |
$2.312214$ |
$8947391/6272$ |
$1.06774$ |
$4.18400$ |
$[1, 0, 1, 462599, -55630052]$ |
\(y^2+xy+y=x^3+462599x-55630052\) |
8.2.0.a.1 |
$[]$ |
| 185150.w1 |
185150ci1 |
185150.w |
185150ci |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{7} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.681857334$ |
$1$ |
|
$2$ |
$161280$ |
$0.744466$ |
$8947391/6272$ |
$1.06774$ |
$2.63292$ |
$[1, 0, 1, 874, 4648]$ |
\(y^2+xy+y=x^3+874x+4648\) |
8.2.0.a.1 |
$[(52, 411)]$ |
| 236992.w1 |
236992w1 |
236992.w |
236992w |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 23^{2} \) |
\( - 2^{25} \cdot 7^{2} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.883999455$ |
$1$ |
|
$2$ |
$8902656$ |
$2.547215$ |
$8947391/6272$ |
$1.06774$ |
$4.32841$ |
$[0, -1, 0, 1184255, 227623841]$ |
\(y^2=x^3-x^2+1184255x+227623841\) |
8.2.0.a.1 |
$[(-176, 3703)]$ |
| 236992.bc1 |
236992bc1 |
236992.bc |
236992bc |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 23^{2} \) |
\( - 2^{25} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$387072$ |
$0.979467$ |
$8947391/6272$ |
$1.06774$ |
$2.80827$ |
$[0, -1, 0, 2239, -19487]$ |
\(y^2=x^3-x^2+2239x-19487\) |
8.2.0.a.1 |
$[]$ |
| 236992.bt1 |
236992bt1 |
236992.bt |
236992bt |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 23^{2} \) |
\( - 2^{25} \cdot 7^{2} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$4.079199521$ |
$1$ |
|
$2$ |
$8902656$ |
$2.547215$ |
$8947391/6272$ |
$1.06774$ |
$4.32841$ |
$[0, 1, 0, 1184255, -227623841]$ |
\(y^2=x^3+x^2+1184255x-227623841\) |
8.2.0.a.1 |
$[(3627, 227584)]$ |
| 236992.bz1 |
236992bz1 |
236992.bz |
236992bz |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 23^{2} \) |
\( - 2^{25} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$387072$ |
$0.979467$ |
$8947391/6272$ |
$1.06774$ |
$2.80827$ |
$[0, 1, 0, 2239, 19487]$ |
\(y^2=x^3+x^2+2239x+19487\) |
8.2.0.a.1 |
$[]$ |
| 414736.o1 |
414736o1 |
414736.o |
414736o |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{19} \cdot 7^{8} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53415936$ |
$3.173595$ |
$8947391/6272$ |
$1.06774$ |
$4.72224$ |
$[0, -1, 0, 14507120, -9781132864]$ |
\(y^2=x^3-x^2+14507120x-9781132864\) |
8.2.0.a.1 |
$[]$ |
| 414736.x1 |
414736x1 |
414736.x |
414736x |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{19} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2322432$ |
$1.605848$ |
$8947391/6272$ |
$1.06774$ |
$3.26786$ |
$[0, -1, 0, 27424, 794368]$ |
\(y^2=x^3-x^2+27424x+794368\) |
8.2.0.a.1 |
$[]$ |
| 466578.b1 |
466578b1 |
466578.b |
466578b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$1.462008$ |
$8947391/6272$ |
$1.06774$ |
$3.10614$ |
$[1, -1, 0, 15426, 335124]$ |
\(y^2+xy=x^3-x^2+15426x+335124\) |
8.2.0.a.1 |
$[]$ |
| 466578.db1 |
466578db1 |
466578.db |
466578db |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{8} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$66769920$ |
$3.029755$ |
$8947391/6272$ |
$1.06774$ |
$4.54739$ |
$[1, -1, 0, 8160255, -4126415427]$ |
\(y^2+xy=x^3-x^2+8160255x-4126415427\) |
8.2.0.a.1 |
$[]$ |
