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 |
51870.c1 |
51870c1 |
51870.c |
51870c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{7} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 13^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$29640$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$1.597593$ |
$-253695042842616649/1534055250000000$ |
$[1, 1, 0, -13188, -1978032]$ |
\(y^2+xy=x^3+x^2-13188x-1978032\) |
29640.2.0.? |
$[]$ |
155610.el1 |
155610z1 |
155610.el |
155610z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{9} \cdot 7^{2} \cdot 13^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29640$ |
$2$ |
$0$ |
$0.035189731$ |
$1$ |
|
$18$ |
$2322432$ |
$2.146900$ |
$-253695042842616649/1534055250000000$ |
$[1, -1, 1, -118697, 53288169]$ |
\(y^2+xy+y=x^3-x^2-118697x+53288169\) |
29640.2.0.? |
$[(-253, 8316)]$ |
259350.gq1 |
259350gq1 |
259350.gq |
259350gq |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{7} \cdot 3 \cdot 5^{15} \cdot 7^{2} \cdot 13^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29640$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6967296$ |
$2.402313$ |
$-253695042842616649/1534055250000000$ |
$[1, 0, 0, -329713, -246594583]$ |
\(y^2+xy=x^3-329713x-246594583\) |
29640.2.0.? |
$[]$ |
363090.dq1 |
363090dq1 |
363090.dq |
363090dq |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{7} \cdot 3 \cdot 5^{9} \cdot 7^{8} \cdot 13^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29640$ |
$2$ |
$0$ |
$2.805245901$ |
$1$ |
|
$2$ |
$13934592$ |
$2.570549$ |
$-253695042842616649/1534055250000000$ |
$[1, 0, 1, -646238, 676526288]$ |
\(y^2+xy+y=x^3-646238x+676526288\) |
29640.2.0.? |
$[(704, 23535)]$ |
414960.fq1 |
414960fq1 |
414960.fq |
414960fq |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{19} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 13^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29640$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6967296$ |
$2.290741$ |
$-253695042842616649/1534055250000000$ |
$[0, 1, 0, -211016, 126172020]$ |
\(y^2=x^3+x^2-211016x+126172020\) |
29640.2.0.? |
$[]$ |