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 |
49818.c1 |
49818b1 |
49818.c |
49818b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{5} \cdot 19^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$216000$ |
$1.548956$ |
$1743381413738875/33697824768$ |
$1.04194$ |
$4.06133$ |
$[1, 1, 0, -47640, 3915072]$ |
\(y^2+xy=x^3+x^2-47640x+3915072\) |
2.3.0.a.1, 24.6.0.j.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[ ]$ |
49818.be1 |
49818be1 |
49818.be |
49818be |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{5} \cdot 19^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4104000$ |
$3.021175$ |
$1743381413738875/33697824768$ |
$1.04194$ |
$5.69469$ |
$[1, 0, 0, -17198228, -26991064176]$ |
\(y^2+xy=x^3-17198228x-26991064176\) |
2.3.0.a.1, 24.6.0.j.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[ ]$ |
149454.u1 |
149454bz1 |
149454.u |
149454bz |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{11} \cdot 19^{9} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$15.37583383$ |
$1$ |
|
$9$ |
$32832000$ |
$3.570480$ |
$1743381413738875/33697824768$ |
$1.04194$ |
$5.72284$ |
$[1, -1, 0, -154784052, 728758732752]$ |
\(y^2+xy=x^3-x^2-154784052x+728758732752\) |
2.3.0.a.1, 24.6.0.j.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(7944, 16764), (-6392, 1210236)]$ |
149454.ce1 |
149454p1 |
149454.ce |
149454p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{11} \cdot 19^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.322666484$ |
$1$ |
|
$7$ |
$1728000$ |
$2.098263$ |
$1743381413738875/33697824768$ |
$1.04194$ |
$4.24009$ |
$[1, -1, 1, -428765, -106135707]$ |
\(y^2+xy+y=x^3-x^2-428765x-106135707\) |
2.3.0.a.1, 24.6.0.j.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-409, 1032)]$ |
398544.t1 |
398544t1 |
398544.t |
398544t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \cdot 23 \) |
\( 2^{30} \cdot 3^{5} \cdot 19^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98496000$ |
$3.714321$ |
$1743381413738875/33697824768$ |
$1.04194$ |
$5.42142$ |
$[0, -1, 0, -275171648, 1727428107264]$ |
\(y^2=x^3-x^2-275171648x+1727428107264\) |
2.3.0.a.1, 24.6.0.j.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[ ]$ |
398544.cb1 |
398544cb1 |
398544.cb |
398544cb |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \cdot 23 \) |
\( 2^{30} \cdot 3^{5} \cdot 19^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$2.415251991$ |
$1$ |
|
$3$ |
$5184000$ |
$2.242104$ |
$1743381413738875/33697824768$ |
$1.04194$ |
$4.05144$ |
$[0, 1, 0, -762248, -252089100]$ |
\(y^2=x^3+x^2-762248x-252089100\) |
2.3.0.a.1, 24.6.0.j.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-500, 2070)]$ |