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 |
57960.x2 |
57960bg2 |
57960.x |
57960bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$3.395538067$ |
$1$ |
|
$3$ |
$92160$ |
$1.043623$ |
$147704148/92575$ |
$[0, 0, 0, 2997, 18198]$ |
\(y^2=x^3+2997x+18198\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[(43, 476)]$ |
57960.bp2 |
57960f2 |
57960.bp |
57960f |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.494317$ |
$147704148/92575$ |
$[0, 0, 0, 333, -674]$ |
\(y^2=x^3+333x-674\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[]$ |
115920.h2 |
115920c2 |
115920.h |
115920c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.043623$ |
$147704148/92575$ |
$[0, 0, 0, 2997, -18198]$ |
\(y^2=x^3+2997x-18198\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[]$ |
115920.ds2 |
115920i2 |
115920.ds |
115920i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$0.494317$ |
$147704148/92575$ |
$[0, 0, 0, 333, 674]$ |
\(y^2=x^3+333x+674\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[]$ |
289800.e2 |
289800e2 |
289800.e |
289800e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$4.427802360$ |
$1$ |
|
$13$ |
$737280$ |
$1.299036$ |
$147704148/92575$ |
$[0, 0, 0, 8325, -84250]$ |
\(y^2=x^3+8325x-84250\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[(35, 500), (410, 8500)]$ |
289800.bw2 |
289800bw2 |
289800.bw |
289800bw |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$1.848341$ |
$147704148/92575$ |
$[0, 0, 0, 74925, 2274750]$ |
\(y^2=x^3+74925x+2274750\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[]$ |
405720.k2 |
405720k2 |
405720.k |
405720k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$0.909031410$ |
$1$ |
|
$7$ |
$1474560$ |
$1.467272$ |
$147704148/92575$ |
$[0, 0, 0, 16317, 231182]$ |
\(y^2=x^3+16317x+231182\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[(7, 588)]$ |
405720.gm2 |
405720gm2 |
405720.gm |
405720gm |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.016579$ |
$147704148/92575$ |
$[0, 0, 0, 146853, -6241914]$ |
\(y^2=x^3+146853x-6241914\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[]$ |
463680.i2 |
463680i2 |
463680.i |
463680i |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$2.762863124$ |
$1$ |
|
$13$ |
$491520$ |
$0.840890$ |
$147704148/92575$ |
$[0, 0, 0, 1332, 5392]$ |
\(y^2=x^3+1332x+5392\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[(42, 368), (12, 152)]$ |
463680.gp2 |
463680gp2 |
463680.gp |
463680gp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$2.982332455$ |
$1$ |
|
$5$ |
$491520$ |
$0.840890$ |
$147704148/92575$ |
$[0, 0, 0, 1332, -5392]$ |
\(y^2=x^3+1332x-5392\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[(8, 76)]$ |
463680.kh2 |
463680kh2 |
463680.kh |
463680kh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.390196$ |
$147704148/92575$ |
$[0, 0, 0, 11988, -145584]$ |
\(y^2=x^3+11988x-145584\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[]$ |
463680.lf2 |
463680lf2 |
463680.lf |
463680lf |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$4.075688620$ |
$1$ |
|
$3$ |
$1474560$ |
$1.390196$ |
$147704148/92575$ |
$[0, 0, 0, 11988, 145584]$ |
\(y^2=x^3+11988x+145584\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[(4, 440)]$ |