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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
3336.b1 |
3336a1 |
3336.b |
3336a |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3328$ |
$0.536062$ |
$-82013318212/911979$ |
$[0, -1, 0, -912, -10404]$ |
\(y^2=x^3-x^2-912x-10404\) |
278.2.0.? |
$[]$ |
6672.j1 |
6672d1 |
6672.j |
6672d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 139 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$0.096141697$ |
$1$ |
|
$32$ |
$6656$ |
$0.536062$ |
$-82013318212/911979$ |
$[0, 1, 0, -912, 10404]$ |
\(y^2=x^3+x^2-912x+10404\) |
278.2.0.? |
$[(24, 54), (6, 72)]$ |
10008.h1 |
10008h1 |
10008.h |
10008h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{14} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26624$ |
$1.085367$ |
$-82013318212/911979$ |
$[0, 0, 0, -8211, 289118]$ |
\(y^2=x^3-8211x+289118\) |
278.2.0.? |
$[]$ |
20016.x1 |
20016c1 |
20016.x |
20016c |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{14} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53248$ |
$1.085367$ |
$-82013318212/911979$ |
$[0, 0, 0, -8211, -289118]$ |
\(y^2=x^3-8211x-289118\) |
278.2.0.? |
$[]$ |
26688.q1 |
26688be1 |
26688.q |
26688be |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 139 \) |
\( - 2^{16} \cdot 3^{8} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1.197647829$ |
$1$ |
|
$2$ |
$53248$ |
$0.882635$ |
$-82013318212/911979$ |
$[0, -1, 0, -3649, 86881]$ |
\(y^2=x^3-x^2-3649x+86881\) |
278.2.0.? |
$[(-5, 324)]$ |
26688.bo1 |
26688r1 |
26688.bo |
26688r |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 139 \) |
\( - 2^{16} \cdot 3^{8} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53248$ |
$0.882635$ |
$-82013318212/911979$ |
$[0, 1, 0, -3649, -86881]$ |
\(y^2=x^3+x^2-3649x-86881\) |
278.2.0.? |
$[]$ |
80064.e1 |
80064cs1 |
80064.e |
80064cs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 139 \) |
\( - 2^{16} \cdot 3^{14} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$425984$ |
$1.431942$ |
$-82013318212/911979$ |
$[0, 0, 0, -32844, -2312944]$ |
\(y^2=x^3-32844x-2312944\) |
278.2.0.? |
$[]$ |
80064.n1 |
80064z1 |
80064.n |
80064z |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 139 \) |
\( - 2^{16} \cdot 3^{14} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$425984$ |
$1.431942$ |
$-82013318212/911979$ |
$[0, 0, 0, -32844, 2312944]$ |
\(y^2=x^3-32844x+2312944\) |
278.2.0.? |
$[]$ |
83400.i1 |
83400o1 |
83400.i |
83400o |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$1.340780$ |
$-82013318212/911979$ |
$[0, 1, 0, -22808, -1346112]$ |
\(y^2=x^3+x^2-22808x-1346112\) |
278.2.0.? |
$[]$ |
163464.r1 |
163464m1 |
163464.r |
163464m |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1.359435437$ |
$1$ |
|
$2$ |
$778752$ |
$1.509016$ |
$-82013318212/911979$ |
$[0, 1, 0, -44704, 3657968]$ |
\(y^2=x^3+x^2-44704x+3657968\) |
278.2.0.? |
$[(116, 216)]$ |
166800.bb1 |
166800cg1 |
166800.bb |
166800cg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1.109056496$ |
$1$ |
|
$4$ |
$718848$ |
$1.340780$ |
$-82013318212/911979$ |
$[0, -1, 0, -22808, 1346112]$ |
\(y^2=x^3-x^2-22808x+1346112\) |
278.2.0.? |
$[(68, 324)]$ |
250200.a1 |
250200a1 |
250200.a |
250200a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$3.536862141$ |
$1$ |
|
$2$ |
$2875392$ |
$1.890087$ |
$-82013318212/911979$ |
$[0, 0, 0, -205275, 36139750]$ |
\(y^2=x^3-205275x+36139750\) |
278.2.0.? |
$[(359, 2952)]$ |
326928.ba1 |
326928ba1 |
326928.ba |
326928ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$7.107552355$ |
$1$ |
|
$0$ |
$1557504$ |
$1.509016$ |
$-82013318212/911979$ |
$[0, -1, 0, -44704, -3657968]$ |
\(y^2=x^3-x^2-44704x-3657968\) |
278.2.0.? |
$[(2356/3, 42776/3)]$ |
403656.a1 |
403656a1 |
403656.a |
403656a |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 11^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1.781023567$ |
$1$ |
|
$2$ |
$3960320$ |
$1.735010$ |
$-82013318212/911979$ |
$[0, -1, 0, -110392, 14289244]$ |
\(y^2=x^3-x^2-110392x+14289244\) |
278.2.0.? |
$[(214, 648)]$ |
463704.e1 |
463704e1 |
463704.e |
463704e |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 139^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 139^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64296960$ |
$3.003300$ |
$-82013318212/911979$ |
$[0, 1, 0, -17627192, 28751931456]$ |
\(y^2=x^3+x^2-17627192x+28751931456\) |
278.2.0.? |
$[]$ |
490392.b1 |
490392b1 |
490392.b |
490392b |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{14} \cdot 7^{6} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6230016$ |
$2.058323$ |
$-82013318212/911979$ |
$[0, 0, 0, -402339, -99167474]$ |
\(y^2=x^3-402339x-99167474\) |
278.2.0.? |
$[]$ |