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 |
19320.e3 |
19320m1 |
19320.e |
19320m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1288$ |
$48$ |
$0$ |
$3.589802588$ |
$1$ |
|
$3$ |
$49152$ |
$1.278906$ |
$554483565352358224/326025$ |
$[0, -1, 0, -108676, -13753340]$ |
\(y^2=x^3-x^2-108676x-13753340\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.bb.1.1, $\ldots$ |
$[(388, 1530)]$ |
38640.bx3 |
38640q1 |
38640.bx |
38640q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1288$ |
$48$ |
$0$ |
$1.301860568$ |
$1$ |
|
$7$ |
$98304$ |
$1.278906$ |
$554483565352358224/326025$ |
$[0, 1, 0, -108676, 13753340]$ |
\(y^2=x^3+x^2-108676x+13753340\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.bb.1.9, $\ldots$ |
$[(191, 24)]$ |
57960.br3 |
57960y1 |
57960.br |
57960y |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$4.447734392$ |
$1$ |
|
$3$ |
$393216$ |
$1.828213$ |
$554483565352358224/326025$ |
$[0, 0, 0, -978087, 372318266]$ |
\(y^2=x^3-978087x+372318266\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.bb.1, 84.12.0.?, $\ldots$ |
$[(827, 11360)]$ |
96600.bu3 |
96600bc1 |
96600.bu |
96600bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$8.823861027$ |
$1$ |
|
$3$ |
$1179648$ |
$2.083626$ |
$554483565352358224/326025$ |
$[0, 1, 0, -2716908, -1724601312]$ |
\(y^2=x^3+x^2-2716908x-1724601312\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.bb.1, 140.12.0.?, $\ldots$ |
$[(30024, 5194464)]$ |
115920.cz3 |
115920bg1 |
115920.cz |
115920bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$4.878854854$ |
$4$ |
$2$ |
$3$ |
$786432$ |
$1.828213$ |
$554483565352358224/326025$ |
$[0, 0, 0, -978087, -372318266]$ |
\(y^2=x^3-978087x-372318266\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.bb.1, 84.12.0.?, $\ldots$ |
$[(1193, 12600)]$ |
135240.dj3 |
135240f1 |
135240.dj |
135240f |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$2.922650806$ |
$1$ |
|
$7$ |
$2359296$ |
$2.251862$ |
$554483565352358224/326025$ |
$[0, 1, 0, -5325140, 4728045888]$ |
\(y^2=x^3+x^2-5325140x+4728045888\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.bb.1.2, 184.24.0.?, 322.6.0.?, $\ldots$ |
$[(1396, 4080)]$ |
154560.ct3 |
154560cy1 |
154560.ct |
154560cy |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.625479$ |
$554483565352358224/326025$ |
$[0, -1, 0, -434705, 110461425]$ |
\(y^2=x^3-x^2-434705x+110461425\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.bb.1.5, 184.24.0.?, $\ldots$ |
$[]$ |
154560.hx3 |
154560ec1 |
154560.hx |
154560ec |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$786432$ |
$1.625479$ |
$554483565352358224/326025$ |
$[0, 1, 0, -434705, -110461425]$ |
\(y^2=x^3+x^2-434705x-110461425\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.bb.1.13, 184.24.0.?, $\ldots$ |
$[]$ |
193200.cp3 |
193200gz1 |
193200.cp |
193200gz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.083626$ |
$554483565352358224/326025$ |
$[0, -1, 0, -2716908, 1724601312]$ |
\(y^2=x^3-x^2-2716908x+1724601312\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.bb.1, 140.12.0.?, $\ldots$ |
$[]$ |
270480.dv3 |
270480dv1 |
270480.dv |
270480dv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4718592$ |
$2.251862$ |
$554483565352358224/326025$ |
$[0, -1, 0, -5325140, -4728045888]$ |
\(y^2=x^3-x^2-5325140x-4728045888\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.bb.1.10, 184.24.0.?, 322.6.0.?, $\ldots$ |
$[]$ |
289800.bm3 |
289800bm1 |
289800.bm |
289800bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$3.493139120$ |
$1$ |
|
$3$ |
$9437184$ |
$2.632931$ |
$554483565352358224/326025$ |
$[0, 0, 0, -24452175, 46539783250]$ |
\(y^2=x^3-24452175x+46539783250\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.bb.1, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(1235, 135000)]$ |
405720.ce3 |
405720ce1 |
405720.ce |
405720ce |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$18874368$ |
$2.801167$ |
$554483565352358224/326025$ |
$[0, 0, 0, -47926263, -127705165238]$ |
\(y^2=x^3-47926263x-127705165238\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.bb.1, 168.24.0.?, $\ldots$ |
$[]$ |
444360.t3 |
444360t1 |
444360.t |
444360t |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$25952256$ |
$2.846653$ |
$554483565352358224/326025$ |
$[0, -1, 0, -57489780, 167796805572]$ |
\(y^2=x^3-x^2-57489780x+167796805572\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.bb.1.15, 184.24.0.?, 322.6.0.?, $\ldots$ |
$[]$ |
463680.ce3 |
463680ce1 |
463680.ce |
463680ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$13.06143561$ |
$1$ |
|
$1$ |
$6291456$ |
$2.174786$ |
$554483565352358224/326025$ |
$[0, 0, 0, -3912348, -2978546128]$ |
\(y^2=x^3-3912348x-2978546128\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.bb.1, 168.24.0.?, $\ldots$ |
$[(4081978/37, 5517556704/37)]$ |
463680.fy3 |
463680fy1 |
463680.fy |
463680fy |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6291456$ |
$2.174786$ |
$554483565352358224/326025$ |
$[0, 0, 0, -3912348, 2978546128]$ |
\(y^2=x^3-3912348x+2978546128\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.bb.1, 168.24.0.?, $\ldots$ |
$[]$ |