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 |
55470.l1 |
55470j1 |
55470.l |
55470j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5 \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1.015180526$ |
$1$ |
|
$4$ |
$24640$ |
$0.410785$ |
$-77854483/5760$ |
$0.89293$ |
$2.70737$ |
$[1, 0, 1, -383, 3026]$ |
\(y^2+xy+y=x^3-383x+3026\) |
1720.2.0.? |
$[(-18, 73)]$ |
55470.t1 |
55470p1 |
55470.t |
55470p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5 \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1059520$ |
$2.291386$ |
$-77854483/5760$ |
$0.89293$ |
$4.77329$ |
$[1, 1, 1, -707281, -243437137]$ |
\(y^2+xy+y=x^3+x^2-707281x-243437137\) |
1720.2.0.? |
$[]$ |
166410.v1 |
166410bn1 |
166410.v |
166410bn |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5 \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$10.41004778$ |
$1$ |
|
$0$ |
$8476160$ |
$2.840691$ |
$-77854483/5760$ |
$0.89293$ |
$4.88539$ |
$[1, -1, 0, -6365529, 6566437165]$ |
\(y^2+xy=x^3-x^2-6365529x+6566437165\) |
1720.2.0.? |
$[(27199631/58, 134900560139/58)]$ |
166410.cc1 |
166410o1 |
166410.cc |
166410o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5 \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1.410596432$ |
$1$ |
|
$2$ |
$197120$ |
$0.960091$ |
$-77854483/5760$ |
$0.89293$ |
$3.00826$ |
$[1, -1, 1, -3443, -81709]$ |
\(y^2+xy+y=x^3-x^2-3443x-81709\) |
1720.2.0.? |
$[(183, 2230)]$ |
277350.bp1 |
277350bp1 |
277350.bp |
277350bp |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{7} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25428480$ |
$3.096104$ |
$-77854483/5760$ |
$0.89293$ |
$4.93082$ |
$[1, 0, 1, -17682026, -30394278052]$ |
\(y^2+xy+y=x^3-17682026x-30394278052\) |
1720.2.0.? |
$[]$ |
277350.cf1 |
277350cf1 |
277350.cf |
277350cf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{7} \cdot 43^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$0.220701692$ |
$1$ |
|
$20$ |
$591360$ |
$1.215504$ |
$-77854483/5760$ |
$0.89293$ |
$3.13020$ |
$[1, 1, 1, -9563, 378281]$ |
\(y^2+xy+y=x^3+x^2-9563x+378281\) |
1720.2.0.? |
$[(125, 1012), (75, 262)]$ |
443760.bd1 |
443760bd1 |
443760.bd |
443760bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{2} \cdot 5 \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$3.076973719$ |
$1$ |
|
$2$ |
$591360$ |
$1.103931$ |
$-77854483/5760$ |
$0.89293$ |
$2.91409$ |
$[0, -1, 0, -6120, -193680]$ |
\(y^2=x^3-x^2-6120x-193680\) |
1720.2.0.? |
$[(201, 2580)]$ |
443760.cd1 |
443760cd1 |
443760.cd |
443760cd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{2} \cdot 5 \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$5.230500290$ |
$1$ |
|
$0$ |
$25428480$ |
$2.984531$ |
$-77854483/5760$ |
$0.89293$ |
$4.64962$ |
$[0, 1, 0, -11316496, 15557343764]$ |
\(y^2=x^3+x^2-11316496x+15557343764\) |
1720.2.0.? |
$[(-469070/11, 45796032/11)]$ |