| 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 |
| 177870.r1 |
177870jc1 |
177870.r |
177870jc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{14} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$22579200$ |
$3.138424$ |
$3432365662485529/1757812500000$ |
$1.04515$ |
$5.04027$ |
$[1, 1, 0, -13785048, -6687466848]$ |
\(y^2+xy=x^3+x^2-13785048x-6687466848\) |
8.2.0.b.1 |
$[]$ |
| 177870.ds1 |
177870fb1 |
177870.ds |
177870fb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{14} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.963098468$ |
$1$ |
|
$4$ |
$3225600$ |
$2.165470$ |
$3432365662485529/1757812500000$ |
$1.04515$ |
$4.07447$ |
$[1, 0, 1, -281328, 19456798]$ |
\(y^2+xy+y=x^3-281328x+19456798\) |
8.2.0.b.1 |
$[(-526, 4950)]$ |
| 177870.ex1 |
177870eo1 |
177870.ex |
177870eo |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{14} \cdot 7^{8} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$4.571348927$ |
$1$ |
|
$2$ |
$248371200$ |
$4.337372$ |
$3432365662485529/1757812500000$ |
$1.04515$ |
$6.23041$ |
$[1, 1, 1, -1667990871, 8892678420429]$ |
\(y^2+xy+y=x^3+x^2-1667990871x+8892678420429\) |
8.2.0.b.1 |
$[(1075129, 1113446810)]$ |
| 177870.io1 |
177870r1 |
177870.io |
177870r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{14} \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35481600$ |
$3.364418$ |
$3432365662485529/1757812500000$ |
$1.04515$ |
$5.26460$ |
$[1, 0, 0, -34040630, -25931039100]$ |
\(y^2+xy=x^3-34040630x-25931039100\) |
8.2.0.b.1 |
$[]$ |
