| 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 |
| 14440.e1 |
14440c1 |
14440.e |
14440c |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{4} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$142272$ |
$1.973743$ |
$-102053522/625$ |
$0.88090$ |
$5.18197$ |
$[0, -1, 0, -317800, 69427052]$ |
\(y^2=x^3-x^2-317800x+69427052\) |
8.2.0.a.1 |
$[]$ |
| 14440.i1 |
14440i1 |
14440.i |
14440i |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{4} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7488$ |
$0.501525$ |
$-102053522/625$ |
$0.88090$ |
$3.33742$ |
$[0, 1, 0, -880, -10400]$ |
\(y^2=x^3+x^2-880x-10400\) |
8.2.0.a.1 |
$[]$ |
| 28880.m1 |
28880i1 |
28880.m |
28880i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{4} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.146100398$ |
$1$ |
|
$8$ |
$14976$ |
$0.501525$ |
$-102053522/625$ |
$0.88090$ |
$3.11219$ |
$[0, -1, 0, -880, 10400]$ |
\(y^2=x^3-x^2-880x+10400\) |
8.2.0.a.1 |
$[(20, 20)]$ |
| 28880.w1 |
28880d1 |
28880.w |
28880d |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{4} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$284544$ |
$1.973743$ |
$-102053522/625$ |
$0.88090$ |
$4.83226$ |
$[0, 1, 0, -317800, -69427052]$ |
\(y^2=x^3+x^2-317800x-69427052\) |
8.2.0.a.1 |
$[]$ |
| 72200.n1 |
72200g1 |
72200.n |
72200g |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{10} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$179712$ |
$1.306244$ |
$-102053522/625$ |
$0.88090$ |
$3.72047$ |
$[0, -1, 0, -22008, -1255988]$ |
\(y^2=x^3-x^2-22008x-1255988\) |
8.2.0.a.1 |
$[]$ |
| 72200.y1 |
72200u1 |
72200.y |
72200u |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{10} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3414528$ |
$2.778461$ |
$-102053522/625$ |
$0.88090$ |
$5.29966$ |
$[0, 1, 0, -7945008, 8662491488]$ |
\(y^2=x^3+x^2-7945008x+8662491488\) |
8.2.0.a.1 |
$[]$ |
| 115520.t1 |
115520l1 |
115520.t |
115520l |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 19^{2} \) |
\( - 2^{17} \cdot 5^{4} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.220438089$ |
$1$ |
|
$12$ |
$119808$ |
$0.848099$ |
$-102053522/625$ |
$0.88090$ |
$3.09885$ |
$[0, -1, 0, -3521, -79679]$ |
\(y^2=x^3-x^2-3521x-79679\) |
8.2.0.a.1 |
$[(81, 400), (131, 1300)]$ |
| 115520.x1 |
115520bn1 |
115520.x |
115520bn |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 19^{2} \) |
\( - 2^{17} \cdot 5^{4} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2276352$ |
$2.320316$ |
$-102053522/625$ |
$0.88090$ |
$4.61436$ |
$[0, -1, 0, -1271201, -554145215]$ |
\(y^2=x^3-x^2-1271201x-554145215\) |
8.2.0.a.1 |
$[]$ |
| 115520.bx1 |
115520b1 |
115520.bx |
115520b |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 19^{2} \) |
\( - 2^{17} \cdot 5^{4} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.897006533$ |
$1$ |
|
$2$ |
$2276352$ |
$2.320316$ |
$-102053522/625$ |
$0.88090$ |
$4.61436$ |
$[0, 1, 0, -1271201, 554145215]$ |
\(y^2=x^3+x^2-1271201x+554145215\) |
8.2.0.a.1 |
$[(842, 9025)]$ |
| 115520.cb1 |
115520bw1 |
115520.cb |
115520bw |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 19^{2} \) |
\( - 2^{17} \cdot 5^{4} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.036507206$ |
$1$ |
|
$2$ |
$119808$ |
$0.848099$ |
$-102053522/625$ |
$0.88090$ |
$3.09885$ |
$[0, 1, 0, -3521, 79679]$ |
\(y^2=x^3+x^2-3521x+79679\) |
8.2.0.a.1 |
$[(-31, 400)]$ |
| 129960.d1 |
129960x1 |
129960.d |
129960x |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.869500524$ |
$1$ |
|
$2$ |
$224640$ |
$1.050831$ |
$-102053522/625$ |
$0.88090$ |
$3.27446$ |
$[0, 0, 0, -7923, 272878]$ |
\(y^2=x^3-7923x+272878\) |
8.2.0.a.1 |
$[(54, 50)]$ |
| 129960.e1 |
129960ca1 |
129960.e |
129960ca |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$56.92695398$ |
$1$ |
|
$0$ |
$4268160$ |
$2.523052$ |
$-102053522/625$ |
$0.88090$ |
$4.77481$ |
$[0, 0, 0, -2860203, -1871670202]$ |
\(y^2=x^3-2860203x-1871670202\) |
8.2.0.a.1 |
$[(21589498249841111740756826/70343293007, 91237710195012146870717283571617552100/70343293007)]$ |
| 144400.r1 |
144400cc1 |
144400.r |
144400cc |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{10} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.924270289$ |
$1$ |
|
$2$ |
$6829056$ |
$2.778461$ |
$-102053522/625$ |
$0.88090$ |
$4.99045$ |
$[0, -1, 0, -7945008, -8662491488]$ |
\(y^2=x^3-x^2-7945008x-8662491488\) |
8.2.0.a.1 |
$[(4212, 180500)]$ |
| 144400.bz1 |
144400cn1 |
144400.bz |
144400cn |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 5^{10} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$1.306244$ |
$-102053522/625$ |
$0.88090$ |
$3.50341$ |
$[0, 1, 0, -22008, 1255988]$ |
\(y^2=x^3+x^2-22008x+1255988\) |
8.2.0.a.1 |
$[]$ |
| 259920.dd1 |
259920dd1 |
259920.dd |
259920dd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$7.848389742$ |
$1$ |
|
$0$ |
$449280$ |
$1.050831$ |
$-102053522/625$ |
$0.88090$ |
$3.09242$ |
$[0, 0, 0, -7923, -272878]$ |
\(y^2=x^3-7923x-272878\) |
8.2.0.a.1 |
$[(19391/11, 2135050/11)]$ |
| 259920.de1 |
259920de1 |
259920.de |
259920de |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8536320$ |
$2.523052$ |
$-102053522/625$ |
$0.88090$ |
$4.50936$ |
$[0, 0, 0, -2860203, 1871670202]$ |
\(y^2=x^3-2860203x+1871670202\) |
8.2.0.a.1 |
$[]$ |
