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 |
168.b1 |
168a3 |
168.b |
168a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$0.006959$ |
$381775972/567$ |
$0.96461$ |
$5.20921$ |
$[0, 1, 0, -152, 672]$ |
\(y^2=x^3+x^2-152x+672\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 28.24.0-28.h.1.2, 168.48.0.? |
$[]$ |
336.c1 |
336b3 |
336.c |
336b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$0.006959$ |
$381775972/567$ |
$0.96461$ |
$4.58850$ |
$[0, -1, 0, -152, -672]$ |
\(y^2=x^3-x^2-152x-672\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 28.24.0-28.h.1.1, 168.48.0.? |
$[]$ |
504.b1 |
504f3 |
504.b |
504f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1.149717591$ |
$1$ |
|
$7$ |
$256$ |
$0.556265$ |
$381775972/567$ |
$0.96461$ |
$5.34883$ |
$[0, 0, 0, -1371, -19514]$ |
\(y^2=x^3-1371x-19514\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$ |
$[(-21, 4)]$ |
1008.e1 |
1008g3 |
1008.e |
1008g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$0.688154321$ |
$1$ |
|
$7$ |
$512$ |
$0.556265$ |
$381775972/567$ |
$0.96461$ |
$4.81273$ |
$[0, 0, 0, -1371, 19514]$ |
\(y^2=x^3-1371x+19514\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$ |
$[(19, 18)]$ |
1176.a1 |
1176c3 |
1176.a |
1176c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.979914$ |
$381775972/567$ |
$0.96461$ |
$5.42687$ |
$[0, -1, 0, -7464, -245412]$ |
\(y^2=x^3-x^2-7464x-245412\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 28.24.0-28.h.1.1, 168.48.0.? |
$[]$ |
1344.c1 |
1344b3 |
1344.c |
1344b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{16} \cdot 3^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$0.516548486$ |
$1$ |
|
$11$ |
$512$ |
$0.353533$ |
$381775972/567$ |
$0.96461$ |
$4.28279$ |
$[0, -1, 0, -609, 5985]$ |
\(y^2=x^3-x^2-609x+5985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.14, 28.12.0.h.1, $\ldots$ |
$[(17, 16)]$ |
1344.n1 |
1344t3 |
1344.n |
1344t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{16} \cdot 3^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.353533$ |
$381775972/567$ |
$0.96461$ |
$4.28279$ |
$[0, 1, 0, -609, -5985]$ |
\(y^2=x^3+x^2-609x-5985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.6, 28.12.0.h.1, $\ldots$ |
$[]$ |
2352.q1 |
2352i3 |
2352.q |
2352i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1.525670448$ |
$1$ |
|
$11$ |
$3072$ |
$0.979914$ |
$381775972/567$ |
$0.96461$ |
$4.94231$ |
$[0, 1, 0, -7464, 245412]$ |
\(y^2=x^3+x^2-7464x+245412\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 28.24.0-28.h.1.2, 168.48.0.? |
$[(48, 6)]$ |
3528.w1 |
3528x3 |
3528.w |
3528x |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.529221$ |
$381775972/567$ |
$0.96461$ |
$5.50395$ |
$[0, 0, 0, -67179, 6693302]$ |
\(y^2=x^3-67179x+6693302\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.z.1.5, $\ldots$ |
$[]$ |
4032.be1 |
4032f3 |
4032.be |
4032f |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{10} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.902839$ |
$381775972/567$ |
$0.96461$ |
$4.51003$ |
$[0, 0, 0, -5484, -156112]$ |
\(y^2=x^3-5484x-156112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.10, 28.12.0.h.1, $\ldots$ |
$[]$ |
4032.bj1 |
4032bh3 |
4032.bj |
4032bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{10} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.902839$ |
$381775972/567$ |
$0.96461$ |
$4.51003$ |
$[0, 0, 0, -5484, 156112]$ |
\(y^2=x^3-5484x+156112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.2, 28.12.0.h.1, $\ldots$ |
$[]$ |
4200.i1 |
4200q3 |
4200.i |
4200q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.241539922$ |
$1$ |
|
$5$ |
$4096$ |
$0.811678$ |
$381775972/567$ |
$0.96461$ |
$4.35684$ |
$[0, -1, 0, -3808, 91612]$ |
\(y^2=x^3-x^2-3808x+91612\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 28.12.0.h.1, $\ldots$ |
$[(46, 108)]$ |
7056.br1 |
7056v3 |
7056.br |
7056v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$168$ |
$48$ |
$0$ |
$2.030838047$ |
$1$ |
|
$3$ |
$24576$ |
$1.529221$ |
$381775972/567$ |
$0.96461$ |
$5.07344$ |
$[0, 0, 0, -67179, -6693302]$ |
\(y^2=x^3-67179x-6693302\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.z.1.13, $\ldots$ |
$[(371, 4410)]$ |
8400.bx1 |
8400r3 |
8400.bx |
8400r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.811678$ |
$381775972/567$ |
$0.96461$ |
$4.02263$ |
$[0, 1, 0, -3808, -91612]$ |
\(y^2=x^3+x^2-3808x-91612\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 28.12.0.h.1, $\ldots$ |
$[]$ |
9408.bc1 |
9408ca3 |
9408.bc |
9408ca |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1.349957621$ |
$1$ |
|
$5$ |
$24576$ |
$1.326488$ |
$381775972/567$ |
$0.96461$ |
$4.64802$ |
$[0, -1, 0, -29857, 1993153]$ |
\(y^2=x^3-x^2-29857x+1993153\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.3, 28.12.0.h.1, $\ldots$ |
$[(96, 49)]$ |
9408.cy1 |
9408bd3 |
9408.cy |
9408bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$2.001475842$ |
$1$ |
|
$5$ |
$24576$ |
$1.326488$ |
$381775972/567$ |
$0.96461$ |
$4.64802$ |
$[0, 1, 0, -29857, -1993153]$ |
\(y^2=x^3+x^2-29857x-1993153\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.11, 28.12.0.h.1, $\ldots$ |
$[(-101, 48)]$ |
12600.bw1 |
12600q3 |
12600.bw |
12600q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.573771872$ |
$1$ |
|
$3$ |
$32768$ |
$1.360985$ |
$381775972/567$ |
$0.96461$ |
$4.54804$ |
$[0, 0, 0, -34275, -2439250]$ |
\(y^2=x^3-34275x-2439250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(214, 162)]$ |
20328.bd1 |
20328bc3 |
20328.bd |
20328bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.570174833$ |
$1$ |
|
$1$ |
$46080$ |
$1.205906$ |
$381775972/567$ |
$0.96461$ |
$4.14115$ |
$[0, 1, 0, -18432, -968112]$ |
\(y^2=x^3+x^2-18432x-968112\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(2296/3, 89540/3)]$ |
25200.bp1 |
25200u4 |
25200.bp |
25200u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.360985$ |
$381775972/567$ |
$0.96461$ |
$4.23698$ |
$[0, 0, 0, -34275, 2439250]$ |
\(y^2=x^3-34275x+2439250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
28224.bl1 |
28224cd4 |
28224.bl |
28224cd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$1.287559334$ |
$1$ |
|
$7$ |
$196608$ |
$1.875793$ |
$381775972/567$ |
$0.96461$ |
$4.79295$ |
$[0, 0, 0, -268716, 53546416]$ |
\(y^2=x^3-268716x+53546416\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.z.1.15, 28.12.0.h.1, $\ldots$ |
$[(14, 7056)]$ |
28224.bm1 |
28224ga4 |
28224.bm |
28224ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.875793$ |
$381775972/567$ |
$0.96461$ |
$4.79295$ |
$[0, 0, 0, -268716, -53546416]$ |
\(y^2=x^3-268716x-53546416\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.z.1.7, 28.12.0.h.1, $\ldots$ |
$[]$ |
28392.x1 |
28392bc4 |
28392.x |
28392bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.289434$ |
$381775972/567$ |
$0.96461$ |
$4.10397$ |
$[0, 1, 0, -25744, 1579280]$ |
\(y^2=x^3+x^2-25744x+1579280\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
29400.dl1 |
29400dz4 |
29400.dl |
29400dz |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.784634$ |
$381775972/567$ |
$0.96461$ |
$4.66761$ |
$[0, 1, 0, -186608, -31049712]$ |
\(y^2=x^3+x^2-186608x-31049712\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 28.12.0.h.1, $\ldots$ |
$[]$ |
33600.bd1 |
33600ed4 |
33600.bd |
33600ed |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{6} \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$8.501213613$ |
$1$ |
|
$9$ |
$65536$ |
$1.158251$ |
$381775972/567$ |
$0.96461$ |
$3.88661$ |
$[0, -1, 0, -15233, -717663]$ |
\(y^2=x^3-x^2-15233x-717663\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.1, $\ldots$ |
$[(-69, 12), (327, 5400)]$ |
33600.gi1 |
33600cr4 |
33600.gi |
33600cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.946935364$ |
$1$ |
|
$7$ |
$65536$ |
$1.158251$ |
$381775972/567$ |
$0.96461$ |
$3.88661$ |
$[0, 1, 0, -15233, 717663]$ |
\(y^2=x^3+x^2-15233x+717663\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.2, $\ldots$ |
$[(67, 48)]$ |
40656.bi1 |
40656i4 |
40656.bi |
40656i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.205906$ |
$381775972/567$ |
$0.96461$ |
$3.87068$ |
$[0, -1, 0, -18432, 968112]$ |
\(y^2=x^3-x^2-18432x+968112\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
48552.f1 |
48552i4 |
48552.f |
48552i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.423565$ |
$381775972/567$ |
$0.96461$ |
$4.04907$ |
$[0, -1, 0, -44024, 3565500]$ |
\(y^2=x^3-x^2-44024x+3565500\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
56784.g1 |
56784b4 |
56784.g |
56784b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.328432696$ |
$1$ |
|
$1$ |
$147456$ |
$1.289434$ |
$381775972/567$ |
$0.96461$ |
$3.84411$ |
$[0, -1, 0, -25744, -1579280]$ |
\(y^2=x^3-x^2-25744x-1579280\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(1849/3, 35828/3)]$ |
58800.ch1 |
58800r4 |
58800.ch |
58800r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.784634$ |
$381775972/567$ |
$0.96461$ |
$4.37301$ |
$[0, -1, 0, -186608, 31049712]$ |
\(y^2=x^3-x^2-186608x+31049712\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 28.12.0.h.1, $\ldots$ |
$[]$ |
60648.s1 |
60648v4 |
60648.s |
60648v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$5.197151253$ |
$1$ |
|
$1$ |
$221184$ |
$1.479179$ |
$381775972/567$ |
$0.96461$ |
$4.02788$ |
$[0, -1, 0, -54992, -4938948]$ |
\(y^2=x^3-x^2-54992x-4938948\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 76.12.0.?, $\ldots$ |
$[(-1226/3, 2060/3)]$ |
60984.s1 |
60984bh4 |
60984.s |
60984bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.755213$ |
$381775972/567$ |
$0.96461$ |
$4.32649$ |
$[0, 0, 0, -165891, 25973134]$ |
\(y^2=x^3-165891x+25973134\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 88.12.0.?, $\ldots$ |
$[]$ |
85176.bu1 |
85176bc4 |
85176.bu |
85176bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$9.608215982$ |
$1$ |
|
$1$ |
$589824$ |
$1.838739$ |
$381775972/567$ |
$0.96461$ |
$4.28745$ |
$[0, 0, 0, -231699, -42872258]$ |
\(y^2=x^3-231699x-42872258\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 104.12.0.?, $\ldots$ |
$[(131014/15, 14956838/15)]$ |
88200.dy1 |
88200bx4 |
88200.dy |
88200bx |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.309521714$ |
$1$ |
|
$7$ |
$1572864$ |
$2.333939$ |
$381775972/567$ |
$0.96461$ |
$4.79616$ |
$[0, 0, 0, -1679475, 836662750]$ |
\(y^2=x^3-1679475x+836662750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(791, 1764)]$ |
88872.r1 |
88872r4 |
88872.r |
88872r |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$394240$ |
$1.574707$ |
$381775972/567$ |
$0.96461$ |
$3.99342$ |
$[0, 1, 0, -80584, -8820448]$ |
\(y^2=x^3+x^2-80584x-8820448\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 92.12.0.?, $\ldots$ |
$[]$ |
97104.bx1 |
97104s4 |
97104.bx |
97104s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.423565$ |
$381775972/567$ |
$0.96461$ |
$3.80467$ |
$[0, 1, 0, -44024, -3565500]$ |
\(y^2=x^3+x^2-44024x-3565500\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
100800.dt1 |
100800lb4 |
100800.dt |
100800lb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.155825922$ |
$1$ |
|
$5$ |
$524288$ |
$1.707558$ |
$381775972/567$ |
$0.96461$ |
$4.08814$ |
$[0, 0, 0, -137100, 19514000]$ |
\(y^2=x^3-137100x+19514000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.4, $\ldots$ |
$[(301, 2349)]$ |
100800.mb1 |
100800em4 |
100800.mb |
100800em |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.803558903$ |
$1$ |
|
$5$ |
$524288$ |
$1.707558$ |
$381775972/567$ |
$0.96461$ |
$4.08814$ |
$[0, 0, 0, -137100, -19514000]$ |
\(y^2=x^3-137100x-19514000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.4, $\ldots$ |
$[(-216, 148)]$ |
121296.dh1 |
121296bm4 |
121296.dh |
121296bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.479179$ |
$381775972/567$ |
$0.96461$ |
$3.78938$ |
$[0, 1, 0, -54992, 4938948]$ |
\(y^2=x^3+x^2-54992x+4938948\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 76.12.0.?, $\ldots$ |
$[]$ |
121968.bg1 |
121968bk4 |
121968.bg |
121968bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$5.778374023$ |
$1$ |
|
$3$ |
$737280$ |
$1.755213$ |
$381775972/567$ |
$0.96461$ |
$4.07043$ |
$[0, 0, 0, -165891, -25973134]$ |
\(y^2=x^3-165891x-25973134\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 88.12.0.?, $\ldots$ |
$[(2674, 136566)]$ |
141288.g1 |
141288m3 |
141288.g |
141288m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 29^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$774144$ |
$1.690607$ |
$381775972/567$ |
$0.96461$ |
$3.95458$ |
$[0, -1, 0, -128112, 17669628]$ |
\(y^2=x^3-x^2-128112x+17669628\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 116.12.0.?, $\ldots$ |
$[]$ |
142296.j1 |
142296ba3 |
142296.j |
142296ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{7} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$3.580468092$ |
$1$ |
|
$13$ |
$2211840$ |
$2.178864$ |
$381775972/567$ |
$0.96461$ |
$4.44599$ |
$[0, -1, 0, -903184, 330256060]$ |
\(y^2=x^3-x^2-903184x+330256060\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(502, 1764), (453, 3724)]$ |
145656.bj1 |
145656r4 |
145656.bj |
145656r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1179648$ |
$1.972872$ |
$381775972/567$ |
$0.96461$ |
$4.22935$ |
$[0, 0, 0, -396219, -95872282]$ |
\(y^2=x^3-396219x-95872282\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 136.12.0.?, $\ldots$ |
$[]$ |
161448.n1 |
161448bj4 |
161448.n |
161448bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 31^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5208$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$921600$ |
$1.723953$ |
$381775972/567$ |
$0.96461$ |
$3.94396$ |
$[0, -1, 0, -146392, -21482372]$ |
\(y^2=x^3-x^2-146392x-21482372\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 124.12.0.?, $\ldots$ |
$[]$ |
162624.bb1 |
162624hc4 |
162624.bb |
162624hc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$3.081473885$ |
$1$ |
|
$5$ |
$737280$ |
$1.552481$ |
$381775972/567$ |
$0.96461$ |
$3.77009$ |
$[0, -1, 0, -73729, -7671167]$ |
\(y^2=x^3-x^2-73729x-7671167\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 88.12.0.?, $\ldots$ |
$[(-152, 27)]$ |
162624.fi1 |
162624j3 |
162624.fi |
162624j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.552481$ |
$381775972/567$ |
$0.96461$ |
$3.77009$ |
$[0, 1, 0, -73729, 7671167]$ |
\(y^2=x^3+x^2-73729x+7671167\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 88.12.0.?, $\ldots$ |
$[]$ |
170352.eu1 |
170352fj3 |
170352.eu |
170352fj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$7.787447808$ |
$1$ |
|
$7$ |
$1179648$ |
$1.838739$ |
$381775972/567$ |
$0.96461$ |
$4.04074$ |
$[0, 0, 0, -231699, 42872258]$ |
\(y^2=x^3-231699x+42872258\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 104.12.0.?, $\ldots$ |
$[(259, 486), (139, 3654)]$ |
176400.jf1 |
176400oy4 |
176400.jf |
176400oy |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.528045340$ |
$1$ |
|
$3$ |
$3145728$ |
$2.333939$ |
$381775972/567$ |
$0.96461$ |
$4.52097$ |
$[0, 0, 0, -1679475, -836662750]$ |
\(y^2=x^3-1679475x-836662750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(15106, 1849554)]$ |
177744.l1 |
177744da3 |
177744.l |
177744da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$788480$ |
$1.574707$ |
$381775972/567$ |
$0.96461$ |
$3.76443$ |
$[0, -1, 0, -80584, 8820448]$ |
\(y^2=x^3-x^2-80584x+8820448\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 92.12.0.?, $\ldots$ |
$[]$ |
181944.e1 |
181944bj3 |
181944.e |
181944bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1.932851949$ |
$1$ |
|
$7$ |
$1769472$ |
$2.028484$ |
$381775972/567$ |
$0.96461$ |
$4.20677$ |
$[0, 0, 0, -494931, 133846526]$ |
\(y^2=x^3-494931x+133846526\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 152.12.0.?, $\ldots$ |
$[(391, 324)]$ |
198744.bd1 |
198744bv4 |
198744.bd |
198744bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.465532807$ |
$1$ |
|
$3$ |
$3538944$ |
$2.262390$ |
$381775972/567$ |
$0.96461$ |
$4.40639$ |
$[0, -1, 0, -1261472, -544215972]$ |
\(y^2=x^3-x^2-1261472x-544215972\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(1358, 15660)]$ |