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 |
19320.v3 |
19320x1 |
19320.v |
19320x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.857182$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.75738$ |
$[0, 1, 0, -93934356, -350448022656]$ |
\(y^2=x^3+x^2-93934356x-350448022656\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.4, 92.12.0.?, $\ldots$ |
$[]$ |
38640.c3 |
38640d1 |
38640.c |
38640d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.857182$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.31392$ |
$[0, -1, 0, -93934356, 350448022656]$ |
\(y^2=x^3-x^2-93934356x+350448022656\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.4, 92.12.0.?, $\ldots$ |
$[]$ |
57960.bo3 |
57960bc1 |
57960.bo |
57960bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$2.034865400$ |
$1$ |
|
$5$ |
$8847360$ |
$3.406487$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.68152$ |
$[0, 0, 0, -845409207, 9461251202506]$ |
\(y^2=x^3-845409207x+9461251202506\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 276.12.0.?, $\ldots$ |
$[(16782, 1120)]$ |
96600.r3 |
96600h1 |
96600.r |
96600h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 7^{5} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$26542080$ |
$3.661900$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.65119$ |
$[0, -1, 0, -2348358908, -43801306114188]$ |
\(y^2=x^3-x^2-2348358908x-43801306114188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
115920.dp3 |
115920bj1 |
115920.dp |
115920bj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$67.36285969$ |
$1$ |
|
$1$ |
$17694720$ |
$3.406487$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.28435$ |
$[0, 0, 0, -845409207, -9461251202506]$ |
\(y^2=x^3-845409207x-9461251202506\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 276.12.0.?, $\ldots$ |
$[(2533573924101836959234749613318/3151338283631, 4005308256972533177147964246802049118983742750/3151338283631)]$ |
135240.bs3 |
135240bj1 |
135240.bs |
135240bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{11} \cdot 23 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$53084160$ |
$3.830135$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.63264$ |
$[0, -1, 0, -4602783460, 120194466204100]$ |
\(y^2=x^3-x^2-4602783460x+120194466204100\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 322.6.0.?, 644.24.0.?, $\ldots$ |
$[]$ |
154560.de3 |
154560gb1 |
154560.de |
154560gb |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$3.986001066$ |
$1$ |
|
$3$ |
$17694720$ |
$3.203754$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$5.92943$ |
$[0, -1, 0, -375737425, -2803208443823]$ |
\(y^2=x^3-x^2-375737425x-2803208443823\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0-4.c.1.1, 184.12.0.?, $\ldots$ |
$[(46609, 8996400)]$ |
154560.hh3 |
154560bc1 |
154560.hh |
154560bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$2.436990306$ |
$1$ |
|
$5$ |
$17694720$ |
$3.203754$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$5.92943$ |
$[0, 1, 0, -375737425, 2803208443823]$ |
\(y^2=x^3+x^2-375737425x+2803208443823\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0-4.c.1.2, 184.12.0.?, $\ldots$ |
$[(11186, 915)]$ |
193200.fy3 |
193200fj1 |
193200.fy |
193200fj |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$6440$ |
$48$ |
$0$ |
$1.346706932$ |
$1$ |
|
$5$ |
$53084160$ |
$3.661900$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.27241$ |
$[0, 1, 0, -2348358908, 43801306114188]$ |
\(y^2=x^3+x^2-2348358908x+43801306114188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(27979, 294)]$ |
270480.hm3 |
270480hm1 |
270480.hm |
270480hm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{11} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6440$ |
$48$ |
$0$ |
$25.12534931$ |
$1$ |
|
$1$ |
$106168320$ |
$3.830135$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.26508$ |
$[0, 1, 0, -4602783460, -120194466204100]$ |
\(y^2=x^3+x^2-4602783460x-120194466204100\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 280.24.0.?, 322.6.0.?, 644.24.0.?, $\ldots$ |
$[(5261076176255/6919, 8771455199088802500/6919)]$ |
289800.l3 |
289800l1 |
289800.l |
289800l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$10.71859552$ |
$1$ |
|
$1$ |
$212336640$ |
$4.211205$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.59431$ |
$[0, 0, 0, -21135230175, 1182656400313250]$ |
\(y^2=x^3-21135230175x+1182656400313250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 280.12.0.?, 322.6.0.?, $\ldots$ |
$[(36978355/21, 389416600/21)]$ |
405720.q3 |
405720q1 |
405720.q |
405720q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{11} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$424673280$ |
$4.379440$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.57882$ |
$[0, 0, 0, -41425051143, -3245209162459558]$ |
\(y^2=x^3-41425051143x-3245209162459558\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 322.6.0.?, $\ldots$ |
$[]$ |
444360.ca3 |
444360ca1 |
444360.ca |
444360ca |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{5} \cdot 23^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$6.627397070$ |
$1$ |
|
$5$ |
$583925760$ |
$4.424927$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.57477$ |
$[0, 1, 0, -49691274500, 4263503561460000]$ |
\(y^2=x^3+x^2-49691274500x+4263503561460000\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 322.6.0.?, 644.24.0.?, $\ldots$ |
$[(33480, 51355320)]$ |
463680.t3 |
463680t1 |
463680.t |
463680t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$104.0002514$ |
$1$ |
|
$1$ |
$141557760$ |
$3.753059$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$5.93537$ |
$[0, 0, 0, -3381636828, -75690009620048]$ |
\(y^2=x^3-3381636828x-75690009620048\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[(12079047714597147383899931422280063138882580602/406114683194270050519, 558300711613335050222251370111987356874034480994825743350645950658112/406114683194270050519)]$ |
463680.gz3 |
463680gz1 |
463680.gz |
463680gz |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$141557760$ |
$3.753059$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$5.93537$ |
$[0, 0, 0, -3381636828, 75690009620048]$ |
\(y^2=x^3-3381636828x+75690009620048\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |