| 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 |
| 1700.a1 |
1700b2 |
1700.a |
1700b |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$0.431616694$ |
$1$ |
|
$6$ |
$216$ |
$0.204863$ |
$-115431760/4913$ |
$0.96165$ |
$3.68349$ |
$[0, -1, 0, -188, -968]$ |
\(y^2=x^3-x^2-188x-968\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 1020.16.0.? |
$[(18, 34)]$ |
| 1700.a2 |
1700b1 |
1700.a |
1700b |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1.294850084$ |
$1$ |
|
$2$ |
$72$ |
$-0.344443$ |
$27440/17$ |
$0.71045$ |
$2.55214$ |
$[0, -1, 0, 12, -8]$ |
\(y^2=x^3-x^2+12x-8\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 1020.16.0.? |
$[(1, 2)]$ |
| 1700.b1 |
1700a1 |
1700.b |
1700a |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{4} \cdot 5^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.353173$ |
$151732224/85$ |
$1.02320$ |
$4.20345$ |
$[0, 0, 0, -700, 7125]$ |
\(y^2=x^3-700x+7125\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 136.12.0.?, 170.6.0.?, $\ldots$ |
$[]$ |
| 1700.b2 |
1700a2 |
1700.b |
1700a |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 5^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.699746$ |
$-5256144/7225$ |
$0.89008$ |
$4.28765$ |
$[0, 0, 0, -575, 9750]$ |
\(y^2=x^3-575x+9750\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 136.12.0.?, 340.12.0.?, $\ldots$ |
$[]$ |
| 1700.c1 |
1700c2 |
1700.c |
1700c |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$204$ |
$16$ |
$0$ |
$11.06972454$ |
$1$ |
|
$0$ |
$1080$ |
$1.009583$ |
$-115431760/4913$ |
$0.96165$ |
$4.98171$ |
$[0, 1, 0, -4708, -130412]$ |
\(y^2=x^3+x^2-4708x-130412\) |
3.8.0-3.a.1.1, 68.2.0.a.1, 204.16.0.? |
$[(46447/21, 6887672/21)]$ |
| 1700.c2 |
1700c1 |
1700.c |
1700c |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 5^{8} \cdot 17 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$204$ |
$16$ |
$0$ |
$3.689908181$ |
$1$ |
|
$4$ |
$360$ |
$0.460276$ |
$27440/17$ |
$0.71045$ |
$3.85036$ |
$[0, 1, 0, 292, -412]$ |
\(y^2=x^3+x^2+292x-412\) |
3.8.0-3.a.1.2, 68.2.0.a.1, 204.16.0.? |
$[(92, 902)]$ |
