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 |
46410.be8 |
46410be4 |
46410.be |
46410be |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 7^{12} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$185640$ |
$384$ |
$5$ |
$3.348319737$ |
$1$ |
|
$8$ |
$1216512$ |
$2.451466$ |
$855567391070976980759/45363085180055574750$ |
$0.99157$ |
$4.90495$ |
$[1, 0, 1, 197777, 322291256]$ |
\(y^2+xy+y=x^3+197777x+322291256\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[(892, 34319)]$ |
139230.df8 |
139230z4 |
139230.df |
139230z |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2 \cdot 3^{9} \cdot 5^{3} \cdot 7^{12} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$185640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$9732096$ |
$3.000771$ |
$855567391070976980759/45363085180055574750$ |
$0.99157$ |
$5.00652$ |
$[1, -1, 1, 1779997, -8701863919]$ |
\(y^2+xy+y=x^3-x^2+1779997x-8701863919\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[]$ |
232050.ek8 |
232050ek5 |
232050.ek |
232050ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 5^{9} \cdot 7^{12} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$16.41930221$ |
$4$ |
$2$ |
$0$ |
$29196288$ |
$3.256184$ |
$855567391070976980759/45363085180055574750$ |
$0.99157$ |
$5.04760$ |
$[1, 1, 1, 4944437, 40286407031]$ |
\(y^2+xy+y=x^3+x^2+4944437x+40286407031\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ |
$[(-9706139/180, 1149321880151/180)]$ |
324870.m8 |
324870m4 |
324870.m |
324870m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 7^{18} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$15.91176169$ |
$4$ |
$2$ |
$0$ |
$58392576$ |
$3.424419$ |
$855567391070976980759/45363085180055574750$ |
$0.99157$ |
$5.07285$ |
$[1, 1, 0, 9691097, -110536209797]$ |
\(y^2+xy=x^3+x^2+9691097x-110536209797\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(96611931/55, 949869197381/55)]$ |
371280.by8 |
371280by4 |
371280.by |
371280by |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{3} \cdot 7^{12} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$29196288$ |
$3.144611$ |
$855567391070976980759/45363085180055574750$ |
$0.99157$ |
$4.75822$ |
$[0, -1, 0, 3164440, -20626640400]$ |
\(y^2=x^3-x^2+3164440x-20626640400\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.8, $\ldots$ |
$[]$ |