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 |
75810.bp1 |
75810bn1 |
75810.bp |
75810bn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3 \cdot 5^{5} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60480$ |
$0.652292$ |
$1552110194161/6431250$ |
$0.91439$ |
$3.02239$ |
$[1, 0, 1, -1718, -27442]$ |
\(y^2+xy+y=x^3-1718x-27442\) |
840.2.0.? |
$[]$ |
75810.cl1 |
75810cj1 |
75810.cl |
75810cj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3 \cdot 5^{5} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1.742357103$ |
$1$ |
|
$0$ |
$1149120$ |
$2.124512$ |
$1552110194161/6431250$ |
$0.91439$ |
$4.59471$ |
$[1, 1, 1, -620025, 186982917]$ |
\(y^2+xy+y=x^3+x^2-620025x+186982917\) |
840.2.0.? |
$[(1683/2, 5533/2)]$ |
227430.c1 |
227430ez1 |
227430.c |
227430ez |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{5} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9192960$ |
$2.673817$ |
$1552110194161/6431250$ |
$0.91439$ |
$4.71988$ |
$[1, -1, 0, -5580225, -5054118989]$ |
\(y^2+xy=x^3-x^2-5580225x-5054118989\) |
840.2.0.? |
$[]$ |
227430.dl1 |
227430bu1 |
227430.dl |
227430bu |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{5} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.201597$ |
$1552110194161/6431250$ |
$0.91439$ |
$3.28760$ |
$[1, -1, 1, -15458, 740927]$ |
\(y^2+xy+y=x^3-x^2-15458x+740927\) |
840.2.0.? |
$[]$ |
379050.ey1 |
379050ey1 |
379050.ey |
379050ey |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3 \cdot 5^{11} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$3.579321023$ |
$1$ |
|
$2$ |
$27578880$ |
$2.929230$ |
$1552110194161/6431250$ |
$0.91439$ |
$4.77079$ |
$[1, 0, 1, -15500626, 23403865898]$ |
\(y^2+xy+y=x^3-15500626x+23403865898\) |
840.2.0.? |
$[(-4302, 104494)]$ |
379050.ho1 |
379050ho1 |
379050.ho |
379050ho |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3 \cdot 5^{11} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$1.457010$ |
$1552110194161/6431250$ |
$0.91439$ |
$3.39546$ |
$[1, 1, 1, -42938, -3430219]$ |
\(y^2+xy+y=x^3+x^2-42938x-3430219\) |
840.2.0.? |
$[]$ |