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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
75810.a1 |
75810g1 |
75810.a |
75810g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{5} \cdot 5^{5} \cdot 7^{7} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$604800$ |
$1.776487$ |
$1045624609074291409/5003023725000$ |
$[1, 1, 0, -150563, 22330917]$ |
\(y^2+xy=x^3+x^2-150563x+22330917\) |
840.2.0.? |
$[]$ |
75810.cq1 |
75810cu1 |
75810.cq |
75810cu |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{5} \cdot 5^{5} \cdot 7^{7} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$4.365809536$ |
$1$ |
|
$0$ |
$11491200$ |
$3.248707$ |
$1045624609074291409/5003023725000$ |
$[1, 0, 0, -54353431, -153602586655]$ |
\(y^2+xy=x^3-54353431x-153602586655\) |
840.2.0.? |
$[(-17569/2, 177853/2)]$ |
227430.cg1 |
227430en1 |
227430.cg |
227430en |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{11} \cdot 5^{5} \cdot 7^{7} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1.770006226$ |
$1$ |
|
$2$ |
$91929600$ |
$3.798016$ |
$1045624609074291409/5003023725000$ |
$[1, -1, 0, -489180879, 4147269839685]$ |
\(y^2+xy=x^3-x^2-489180879x+4147269839685\) |
840.2.0.? |
$[(7491, 946587)]$ |
227430.fk1 |
227430bd1 |
227430.fk |
227430bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{11} \cdot 5^{5} \cdot 7^{7} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$3.079255441$ |
$1$ |
|
$2$ |
$4838400$ |
$2.325794$ |
$1045624609074291409/5003023725000$ |
$[1, -1, 1, -1355072, -604289829]$ |
\(y^2+xy+y=x^3-x^2-1355072x-604289829\) |
840.2.0.? |
$[(-649, 1539)]$ |
379050.bc1 |
379050bc1 |
379050.bc |
379050bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{5} \cdot 5^{11} \cdot 7^{7} \cdot 19^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$4.065721499$ |
$1$ |
|
$6$ |
$275788800$ |
$4.053429$ |
$1045624609074291409/5003023725000$ |
$[1, 1, 0, -1358835775, -19200323331875]$ |
\(y^2+xy=x^3+x^2-1358835775x-19200323331875\) |
840.2.0.? |
$[(-184565/3, 5804660/3), (330465, 188570080)]$ |
379050.iy1 |
379050iy1 |
379050.iy |
379050iy |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{5} \cdot 5^{11} \cdot 7^{7} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$0.192383328$ |
$1$ |
|
$8$ |
$14515200$ |
$2.581207$ |
$1045624609074291409/5003023725000$ |
$[1, 0, 0, -3764088, 2798892792]$ |
\(y^2+xy=x^3-3764088x+2798892792\) |
840.2.0.? |
$[(4482, 273384)]$ |