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 |
445280.m1 |
445280m1 |
445280.m |
445280m |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 11^{2} \cdot 23 \) |
\( - 2^{9} \cdot 5^{9} \cdot 11^{9} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52005888$ |
$3.341022$ |
$-14605154817835672/546564453125$ |
$0.95014$ |
$5.00537$ |
$[0, -1, 0, -54224496, 158597991796]$ |
\(y^2=x^3-x^2-54224496x+158597991796\) |
440.2.0.? |
$[]$ |
445280.n1 |
445280n1 |
445280.n |
445280n |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 11^{2} \cdot 23 \) |
\( - 2^{9} \cdot 5^{9} \cdot 11^{3} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$7.577539910$ |
$1$ |
|
$0$ |
$4727808$ |
$2.142075$ |
$-14605154817835672/546564453125$ |
$0.95014$ |
$3.89920$ |
$[0, -1, 0, -448136, -118994060]$ |
\(y^2=x^3-x^2-448136x-118994060\) |
440.2.0.? |
$[(210604/15, 56549042/15)]$ |
445280.be1 |
445280be1 |
445280.be |
445280be |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 11^{2} \cdot 23 \) |
\( - 2^{9} \cdot 5^{9} \cdot 11^{3} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4727808$ |
$2.142075$ |
$-14605154817835672/546564453125$ |
$0.95014$ |
$3.89920$ |
$[0, 1, 0, -448136, 118994060]$ |
\(y^2=x^3+x^2-448136x+118994060\) |
440.2.0.? |
$[]$ |
445280.bf1 |
445280bf1 |
445280.bf |
445280bf |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 11^{2} \cdot 23 \) |
\( - 2^{9} \cdot 5^{9} \cdot 11^{9} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$31.04346081$ |
$1$ |
|
$0$ |
$52005888$ |
$3.341022$ |
$-14605154817835672/546564453125$ |
$0.95014$ |
$5.00537$ |
$[0, 1, 0, -54224496, -158597991796]$ |
\(y^2=x^3+x^2-54224496x-158597991796\) |
440.2.0.? |
$[(10993931354755615/384157, 1146875380476883166304866/384157)]$ |