| 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 |
| 21984.a1 |
21984a2 |
21984.a |
21984a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 229 \) |
\( 2^{12} \cdot 3^{3} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$2.663527478$ |
$1$ |
|
$5$ |
$10368$ |
$0.562913$ |
$2449456192/1415907$ |
$1.11849$ |
$2.99427$ |
$[0, -1, 0, -449, 273]$ |
\(y^2=x^3-x^2-449x+273\) |
2.3.0.a.1, 12.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[(-17, 52)]$ |
| 21984.b1 |
21984b2 |
21984.b |
21984b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 229 \) |
\( 2^{12} \cdot 3^{3} \cdot 229^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10368$ |
$0.562913$ |
$2449456192/1415907$ |
$1.11849$ |
$2.99427$ |
$[0, 1, 0, -449, -273]$ |
\(y^2=x^3+x^2-449x-273\) |
2.3.0.a.1, 12.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[ ]$ |
| 43968.f2 |
43968i1 |
43968.f |
43968i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 229 \) |
\( 2^{6} \cdot 3^{3} \cdot 229^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10368$ |
$0.216340$ |
$2449456192/1415907$ |
$1.11849$ |
$2.41114$ |
$[0, -1, 0, -112, 22]$ |
\(y^2=x^3-x^2-112x+22\) |
2.3.0.a.1, 12.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[ ]$ |
| 43968.o2 |
43968o1 |
43968.o |
43968o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 229 \) |
\( 2^{6} \cdot 3^{3} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$3.188171211$ |
$1$ |
|
$1$ |
$10368$ |
$0.216340$ |
$2449456192/1415907$ |
$1.11849$ |
$2.41114$ |
$[0, 1, 0, -112, -22]$ |
\(y^2=x^3+x^2-112x-22\) |
2.3.0.a.1, 12.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[(-19/2, 165/2)]$ |
| 65952.c1 |
65952c2 |
65952.c |
65952c |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 229 \) |
\( 2^{12} \cdot 3^{9} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$3.139188708$ |
$1$ |
|
$3$ |
$82944$ |
$1.112219$ |
$2449456192/1415907$ |
$1.11849$ |
$3.29185$ |
$[0, 0, 0, -4044, -3328]$ |
\(y^2=x^3-4044x-3328\) |
2.3.0.a.1, 12.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[(-34, 308)]$ |
| 65952.d1 |
65952b2 |
65952.d |
65952b |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 229 \) |
\( 2^{12} \cdot 3^{9} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$1.586939465$ |
$1$ |
|
$3$ |
$82944$ |
$1.112219$ |
$2449456192/1415907$ |
$1.11849$ |
$3.29185$ |
$[0, 0, 0, -4044, 3328]$ |
\(y^2=x^3-4044x+3328\) |
2.3.0.a.1, 12.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[(86, 540)]$ |
| 131904.n2 |
131904g1 |
131904.n |
131904g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 229 \) |
\( 2^{6} \cdot 3^{9} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$1.725998356$ |
$1$ |
|
$3$ |
$82944$ |
$0.765646$ |
$2449456192/1415907$ |
$1.11849$ |
$2.74556$ |
$[0, 0, 0, -1011, -416]$ |
\(y^2=x^3-1011x-416\) |
2.3.0.a.1, 12.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[(-16, 108)]$ |
| 131904.q2 |
131904i1 |
131904.q |
131904i |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 229 \) |
\( 2^{6} \cdot 3^{9} \cdot 229^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2748$ |
$12$ |
$0$ |
$7.052925181$ |
$1$ |
|
$1$ |
$82944$ |
$0.765646$ |
$2449456192/1415907$ |
$1.11849$ |
$2.74556$ |
$[0, 0, 0, -1011, 416]$ |
\(y^2=x^3-1011x+416\) |
2.3.0.a.1, 12.6.0.a.1, 916.6.0.?, 2748.12.0.? |
$[(-599/10, 79101/10)]$ |
