| 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 |
| 169050.bw1 |
169050hq2 |
169050.bw |
169050hq |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3 \cdot 5^{8} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$2.204150054$ |
$1$ |
|
$2$ |
$466560$ |
$1.228802$ |
$-11151419545/292008$ |
$0.87144$ |
$3.31837$ |
$[1, 1, 0, -12450, 541500]$ |
\(y^2+xy=x^3+x^2-12450x+541500\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 552.8.0.?, 3864.16.0.? |
$[(35, 370)]$ |
| 169050.dz1 |
169050fq2 |
169050.dz |
169050fq |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3 \cdot 5^{8} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$552$ |
$16$ |
$0$ |
$29.65808026$ |
$1$ |
|
$0$ |
$3265920$ |
$2.201759$ |
$-11151419545/292008$ |
$0.87144$ |
$4.28826$ |
$[1, 0, 1, -610076, -187564702]$ |
\(y^2+xy+y=x^3-610076x-187564702\) |
3.8.0-3.a.1.1, 552.16.0.? |
$[(6910463690843/38786, 17750146612496321799/38786)]$ |
| 169050.gr1 |
169050et2 |
169050.gr |
169050et |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2760$ |
$16$ |
$0$ |
$6.277724261$ |
$1$ |
|
$0$ |
$653184$ |
$1.397039$ |
$-11151419545/292008$ |
$0.87144$ |
$3.48608$ |
$[1, 1, 1, -24403, -1510279]$ |
\(y^2+xy+y=x^3+x^2-24403x-1510279\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 552.8.0.?, 2760.16.0.? |
$[(4561/5, 37226/5)]$ |
| 169050.ix1 |
169050bw2 |
169050.ix |
169050bw |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19320$ |
$16$ |
$0$ |
$1.040095188$ |
$1$ |
|
$2$ |
$93312$ |
$0.424084$ |
$-11151419545/292008$ |
$0.87144$ |
$2.51619$ |
$[1, 0, 0, -498, 4332]$ |
\(y^2+xy=x^3-498x+4332\) |
3.4.0.a.1, 105.8.0.?, 552.8.0.?, 19320.16.0.? |
$[(-22, 80)]$ |
