| 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 |
| 25270.j1 |
25270g2 |
25270.j |
25270g |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5^{3} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$0.889485800$ |
$1$ |
|
$2$ |
$7776$ |
$0.198857$ |
$-1742943169/85750$ |
$0.85158$ |
$2.68801$ |
$[1, 1, 0, -178, 882]$ |
\(y^2+xy=x^3+x^2-178x+882\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 280.2.0.?, 840.8.0.?, 15960.16.0.? |
$[(9, 6)]$ |
| 25270.n1 |
25270r2 |
25270.n |
25270r |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5^{3} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$840$ |
$16$ |
$0$ |
$3.497110227$ |
$1$ |
|
$0$ |
$147744$ |
$1.671076$ |
$-1742943169/85750$ |
$0.85158$ |
$4.43073$ |
$[1, 0, 0, -64446, -6564710]$ |
\(y^2+xy=x^3-64446x-6564710\) |
3.8.0-3.a.1.1, 280.2.0.?, 840.16.0.? |
$[(5535/2, 398785/2)]$ |
| 126350.bp1 |
126350f2 |
126350.bp |
126350f |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5^{9} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$19.96932076$ |
$1$ |
|
$0$ |
$3545856$ |
$2.475796$ |
$-1742943169/85750$ |
$0.85158$ |
$4.64574$ |
$[1, 1, 0, -1611150, -820588750]$ |
\(y^2+xy=x^3+x^2-1611150x-820588750\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 168.8.0.?, 280.2.0.?, 840.16.0.? |
$[(1983098825/707, 82368743003350/707)]$ |
| 126350.ci1 |
126350co2 |
126350.ci |
126350co |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5^{9} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$3.440307581$ |
$1$ |
|
$0$ |
$186624$ |
$1.003576$ |
$-1742943169/85750$ |
$0.85158$ |
$3.14178$ |
$[1, 0, 0, -4463, 119167]$ |
\(y^2+xy=x^3-4463x+119167\) |
3.4.0.a.1, 280.2.0.?, 285.8.0.?, 840.8.0.?, 3192.8.0.?, $\ldots$ |
$[(143/2, 457/2)]$ |
| 176890.m1 |
176890cq2 |
176890.m |
176890cq |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2 \cdot 5^{3} \cdot 7^{9} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$2.486765715$ |
$1$ |
|
$10$ |
$373248$ |
$1.171812$ |
$-1742943169/85750$ |
$0.85158$ |
$3.22137$ |
$[1, 0, 1, -8748, -328744]$ |
\(y^2+xy+y=x^3-8748x-328744\) |
3.4.0.a.1, 280.2.0.?, 399.8.0.?, 840.8.0.?, 2280.8.0.?, $\ldots$ |
$[(130, 792), (816, 22744)]$ |
| 176890.ej1 |
176890bz2 |
176890.ej |
176890bz |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2 \cdot 5^{3} \cdot 7^{9} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7091712$ |
$2.644032$ |
$-1742943169/85750$ |
$0.85158$ |
$4.68345$ |
$[1, 1, 1, -3157855, 2248537675]$ |
\(y^2+xy+y=x^3+x^2-3157855x+2248537675\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 120.8.0.?, 280.2.0.?, 840.16.0.? |
$[]$ |
| 202160.d1 |
202160k2 |
202160.d |
202160k |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{13} \cdot 5^{3} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$6.160583915$ |
$1$ |
|
$2$ |
$186624$ |
$0.892004$ |
$-1742943169/85750$ |
$0.85158$ |
$2.91132$ |
$[0, 1, 0, -2856, -62156]$ |
\(y^2=x^3+x^2-2856x-62156\) |
3.4.0.a.1, 228.8.0.?, 280.2.0.?, 840.8.0.?, 15960.16.0.? |
$[(916, 27690)]$ |
| 202160.cm1 |
202160by2 |
202160.cm |
202160by |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{13} \cdot 5^{3} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3545856$ |
$2.364223$ |
$-1742943169/85750$ |
$0.85158$ |
$4.35741$ |
$[0, -1, 0, -1031136, 420141440]$ |
\(y^2=x^3-x^2-1031136x+420141440\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 280.2.0.?, 840.16.0.? |
$[]$ |
| 227430.ct1 |
227430dm2 |
227430.ct |
227430dm |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{3} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3545856$ |
$2.220383$ |
$-1742943169/85750$ |
$0.85158$ |
$4.17587$ |
$[1, -1, 0, -580014, 177247170]$ |
\(y^2+xy=x^3-x^2-580014x+177247170\) |
3.8.0-3.a.1.2, 280.2.0.?, 840.16.0.? |
$[]$ |
| 227430.fw1 |
227430i2 |
227430.fw |
227430i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{3} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$186624$ |
$0.748163$ |
$-1742943169/85750$ |
$0.85158$ |
$2.74358$ |
$[1, -1, 1, -1607, -25419]$ |
\(y^2+xy+y=x^3-x^2-1607x-25419\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 280.2.0.?, 840.8.0.?, 15960.16.0.? |
$[]$ |
