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 |
20510.b1 |
20510a2 |
20510.b |
20510a |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( 2^{12} \cdot 5^{15} \cdot 7^{3} \cdot 293 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$123060$ |
$16$ |
$0$ |
$3.259049849$ |
$1$ |
|
$2$ |
$336960$ |
$2.359051$ |
$26744657491710624461689/12562375000000000000$ |
$0.97021$ |
$5.20116$ |
$[1, 0, 1, -623024, 82090366]$ |
\(y^2+xy+y=x^3-623024x+82090366\) |
3.8.0-3.a.1.1, 41020.2.0.?, 123060.16.0.? |
$[(121, 2851)]$ |
102550.r1 |
102550r2 |
102550.r |
102550r |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 293 \) |
\( 2^{12} \cdot 5^{21} \cdot 7^{3} \cdot 293 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$123060$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8087040$ |
$3.163773$ |
$26744657491710624461689/12562375000000000000$ |
$0.97021$ |
$5.31259$ |
$[1, 1, 1, -15575588, 10261295781]$ |
\(y^2+xy+y=x^3+x^2-15575588x+10261295781\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24612.8.0.?, 41020.2.0.?, 123060.16.0.? |
$[]$ |
143570.d1 |
143570l2 |
143570.d |
143570l |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \) |
\( 2^{12} \cdot 5^{15} \cdot 7^{9} \cdot 293 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$123060$ |
$16$ |
$0$ |
$0.473287865$ |
$1$ |
|
$6$ |
$16174080$ |
$3.332008$ |
$26744657491710624461689/12562375000000000000$ |
$0.97021$ |
$5.33207$ |
$[1, 1, 0, -30528152, -28187523776]$ |
\(y^2+xy=x^3+x^2-30528152x-28187523776\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 17580.8.0.?, 41020.2.0.?, 123060.16.0.? |
$[(-1387, 107881)]$ |
164080.c1 |
164080f2 |
164080.c |
164080f |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 293 \) |
\( 2^{24} \cdot 5^{15} \cdot 7^{3} \cdot 293 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$123060$ |
$16$ |
$0$ |
$18.56752235$ |
$1$ |
|
$0$ |
$8087040$ |
$3.052200$ |
$26744657491710624461689/12562375000000000000$ |
$0.97021$ |
$4.99316$ |
$[0, -1, 0, -9968376, -5253783440]$ |
\(y^2=x^3-x^2-9968376x-5253783440\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 41020.2.0.?, 61530.8.0.?, 123060.16.0.? |
$[(-60131510/273, 967909395790/273)]$ |
184590.ba1 |
184590b2 |
184590.ba |
184590b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 293 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{15} \cdot 7^{3} \cdot 293 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$123060$ |
$16$ |
$0$ |
$2.078542286$ |
$1$ |
|
$6$ |
$10108800$ |
$2.908360$ |
$26744657491710624461689/12562375000000000000$ |
$0.97021$ |
$4.80231$ |
$[1, -1, 1, -5607212, -2216439889]$ |
\(y^2+xy+y=x^3-x^2-5607212x-2216439889\) |
3.8.0-3.a.1.2, 41020.2.0.?, 123060.16.0.? |
$[(-419, 7909)]$ |