| 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 |
| 57354.i1 |
57354i1 |
57354.i |
57354i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 79 \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{8} \cdot 79 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$474$ |
$2$ |
$0$ |
$0.613604587$ |
$1$ |
|
$16$ |
$2217600$ |
$2.568306$ |
$3197587935334791625/2764368$ |
$1.05670$ |
$5.63951$ |
$[1, 0, 1, -18368771, 30300256622]$ |
\(y^2+xy+y=x^3-18368771x+30300256622\) |
474.2.0.? |
$[(2430, 2596), (2475, -1184)]$ |
| 57354.w1 |
57354t1 |
57354.w |
57354t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 79 \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{2} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$474$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$201600$ |
$1.369358$ |
$3197587935334791625/2764368$ |
$1.05670$ |
$4.32643$ |
$[1, 0, 0, -151808, -22778832]$ |
\(y^2+xy=x^3-151808x-22778832\) |
474.2.0.? |
$[ ]$ |
| 172062.o1 |
172062bh1 |
172062.o |
172062bh |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 79 \) |
\( 2^{4} \cdot 3^{13} \cdot 11^{2} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$474$ |
$2$ |
$0$ |
$1.198503530$ |
$1$ |
|
$4$ |
$1612800$ |
$1.918663$ |
$3197587935334791625/2764368$ |
$1.05670$ |
$4.47894$ |
$[1, -1, 0, -1366272, 615028464]$ |
\(y^2+xy=x^3-x^2-1366272x+615028464\) |
474.2.0.? |
$[(675, -333)]$ |
| 172062.bg1 |
172062f1 |
172062.bg |
172062f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 79 \) |
\( 2^{4} \cdot 3^{13} \cdot 11^{8} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$474$ |
$2$ |
$0$ |
$15.86320846$ |
$1$ |
|
$0$ |
$17740800$ |
$3.117611$ |
$3197587935334791625/2764368$ |
$1.05670$ |
$5.67236$ |
$[1, -1, 1, -165318935, -818106928801]$ |
\(y^2+xy+y=x^3-x^2-165318935x-818106928801\) |
474.2.0.? |
$[(197554977/97, 2024405575996/97)]$ |
| 458832.s1 |
458832s1 |
458832.s |
458832s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 79 \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{2} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$474$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4838400$ |
$2.062504$ |
$3197587935334791625/2764368$ |
$1.05670$ |
$4.27436$ |
$[0, -1, 0, -2428928, 1457845248]$ |
\(y^2=x^3-x^2-2428928x+1457845248\) |
474.2.0.? |
$[ ]$ |
| 458832.u1 |
458832u1 |
458832.u |
458832u |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 79 \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{8} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$474$ |
$2$ |
$0$ |
$52.54560657$ |
$1$ |
|
$0$ |
$53222400$ |
$3.261452$ |
$3197587935334791625/2764368$ |
$1.05670$ |
$5.37799$ |
$[0, -1, 0, -293900328, -1939216423824]$ |
\(y^2=x^3-x^2-293900328x-1939216423824\) |
474.2.0.? |
$[(-45705455108706449505111932/67955006939, 11936444279547947301629601456141120/67955006939)]$ |
