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.b3 |
168a1 |
168.b |
168a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.686188$ |
$2725888/21$ |
$0.93026$ |
$3.43306$ |
$[0, 1, 0, -7, -10]$ |
\(y^2=x^3+x^2-7x-10\) |
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, $\ldots$ |
$[]$ |
336.c3 |
336b1 |
336.c |
336b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16$ |
$-0.686188$ |
$2725888/21$ |
$0.93026$ |
$3.02399$ |
$[0, -1, 0, -7, 10]$ |
\(y^2=x^3-x^2-7x+10\) |
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, $\ldots$ |
$[]$ |
504.b3 |
504f1 |
504.b |
504f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1.149717591$ |
$1$ |
|
$9$ |
$64$ |
$-0.136882$ |
$2725888/21$ |
$0.93026$ |
$3.88626$ |
$[0, 0, 0, -66, 205]$ |
\(y^2=x^3-66x+205\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 42.6.0.a.1, 56.24.0-56.ba.1.13, $\ldots$ |
$[(6, 5)]$ |
1008.e3 |
1008g1 |
1008.e |
1008g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$2.752617286$ |
$1$ |
|
$3$ |
$128$ |
$-0.136882$ |
$2725888/21$ |
$0.93026$ |
$3.49675$ |
$[0, 0, 0, -66, -205]$ |
\(y^2=x^3-66x-205\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 42.6.0.a.1, 56.24.0-56.ba.1.5, $\ldots$ |
$[(11, 20)]$ |
1176.a3 |
1176c1 |
1176.a |
1176c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$384$ |
$0.286767$ |
$2725888/21$ |
$0.93026$ |
$4.13959$ |
$[0, -1, 0, -359, 2724]$ |
\(y^2=x^3-x^2-359x+2724\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 42.6.0.a.1, 56.24.0-56.ba.1.4, $\ldots$ |
$[]$ |
1344.c3 |
1344b1 |
1344.c |
1344b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$2.066193945$ |
$1$ |
|
$3$ |
$128$ |
$-0.339614$ |
$2725888/21$ |
$0.93026$ |
$3.01937$ |
$[0, -1, 0, -29, -51]$ |
\(y^2=x^3-x^2-29x-51\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.10, 42.6.0.a.1, $\ldots$ |
$[(13, 40)]$ |
1344.n3 |
1344t1 |
1344.n |
1344t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$128$ |
$-0.339614$ |
$2725888/21$ |
$0.93026$ |
$3.01937$ |
$[0, 1, 0, -29, 51]$ |
\(y^2=x^3+x^2-29x+51\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.2, 42.6.0.a.1, $\ldots$ |
$[]$ |
2352.q3 |
2352i1 |
2352.q |
2352i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$6.102681793$ |
$1$ |
|
$1$ |
$768$ |
$0.286767$ |
$2725888/21$ |
$0.93026$ |
$3.76997$ |
$[0, 1, 0, -359, -2724]$ |
\(y^2=x^3+x^2-359x-2724\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 42.6.0.a.1, 56.24.0-56.ba.1.12, $\ldots$ |
$[(3028/3, 166600/3)]$ |
3528.w3 |
3528x1 |
3528.w |
3528x |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.836073$ |
$2725888/21$ |
$0.93026$ |
$4.38980$ |
$[0, 0, 0, -3234, -70315]$ |
\(y^2=x^3-3234x-70315\) |
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, $\ldots$ |
$[]$ |
4032.be3 |
4032f1 |
4032.be |
4032f |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.209692$ |
$2725888/21$ |
$0.93026$ |
$3.41380$ |
$[0, 0, 0, -264, 1640]$ |
\(y^2=x^3-264x+1640\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.14, 42.6.0.a.1, $\ldots$ |
$[]$ |
4032.bj3 |
4032bh1 |
4032.bj |
4032bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.209692$ |
$2725888/21$ |
$0.93026$ |
$3.41380$ |
$[0, 0, 0, -264, -1640]$ |
\(y^2=x^3-264x-1640\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.6, 42.6.0.a.1, $\ldots$ |
$[]$ |
4200.i3 |
4200q1 |
4200.i |
4200q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.241539922$ |
$1$ |
|
$7$ |
$1024$ |
$0.118531$ |
$2725888/21$ |
$0.93026$ |
$3.26598$ |
$[0, -1, 0, -183, -888]$ |
\(y^2=x^3-x^2-183x-888\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 42.6.0.a.1, $\ldots$ |
$[(-7, 1)]$ |
7056.br3 |
7056v1 |
7056.br |
7056v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$168$ |
$48$ |
$0$ |
$2.030838047$ |
$1$ |
|
$3$ |
$6144$ |
$0.836073$ |
$2725888/21$ |
$0.93026$ |
$4.04644$ |
$[0, 0, 0, -3234, 70315]$ |
\(y^2=x^3-3234x+70315\) |
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, $\ldots$ |
$[(23, 90)]$ |
8400.bx3 |
8400r1 |
8400.bx |
8400r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.118531$ |
$2725888/21$ |
$0.93026$ |
$3.01544$ |
$[0, 1, 0, -183, 888]$ |
\(y^2=x^3+x^2-183x+888\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 42.6.0.a.1, $\ldots$ |
$[]$ |
9408.bc3 |
9408ca1 |
9408.bc |
9408ca |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$5.399830486$ |
$1$ |
|
$1$ |
$6144$ |
$0.633341$ |
$2725888/21$ |
$0.93026$ |
$3.65330$ |
$[0, -1, 0, -1437, -20355]$ |
\(y^2=x^3-x^2-1437x-20355\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.11, 42.6.0.a.1, $\ldots$ |
$[(-343/4, 755/4)]$ |
9408.cy3 |
9408bd1 |
9408.cy |
9408bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$2.001475842$ |
$1$ |
|
$3$ |
$6144$ |
$0.633341$ |
$2725888/21$ |
$0.93026$ |
$3.65330$ |
$[0, 1, 0, -1437, 20355]$ |
\(y^2=x^3+x^2-1437x+20355\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.3, 42.6.0.a.1, $\ldots$ |
$[(86, 735)]$ |
12600.bw3 |
12600q1 |
12600.bw |
12600q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.893442968$ |
$1$ |
|
$7$ |
$8192$ |
$0.667837$ |
$2725888/21$ |
$0.93026$ |
$3.58411$ |
$[0, 0, 0, -1650, 25625]$ |
\(y^2=x^3-1650x+25625\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 42.6.0.a.1, $\ldots$ |
$[(20, 25)]$ |
20328.bd3 |
20328bc1 |
20328.bd |
20328bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.570174833$ |
$1$ |
|
$1$ |
$11520$ |
$0.512759$ |
$2725888/21$ |
$0.93026$ |
$3.22370$ |
$[0, 1, 0, -887, 9810]$ |
\(y^2=x^3+x^2-887x+9810\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[(187/3, 755/3)]$ |
25200.bp3 |
25200u1 |
25200.bp |
25200u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.667837$ |
$2725888/21$ |
$0.93026$ |
$3.33898$ |
$[0, 0, 0, -1650, -25625]$ |
\(y^2=x^3-1650x-25625\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
28224.bl3 |
28224cd1 |
28224.bl |
28224cd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$1.287559334$ |
$1$ |
|
$5$ |
$49152$ |
$1.182646$ |
$2725888/21$ |
$0.93026$ |
$3.90488$ |
$[0, 0, 0, -12936, -562520]$ |
\(y^2=x^3-12936x-562520\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.z.1.7, 42.6.0.a.1, $\ldots$ |
$[(-63, 49)]$ |
28224.bm3 |
28224ga1 |
28224.bm |
28224ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.182646$ |
$2725888/21$ |
$0.93026$ |
$3.90488$ |
$[0, 0, 0, -12936, 562520]$ |
\(y^2=x^3-12936x+562520\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.z.1.15, 42.6.0.a.1, $\ldots$ |
$[]$ |
28392.x3 |
28392bc1 |
28392.x |
28392bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$18432$ |
$0.596287$ |
$2725888/21$ |
$0.93026$ |
$3.21641$ |
$[0, 1, 0, -1239, -17094]$ |
\(y^2=x^3+x^2-1239x-17094\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
29400.dl3 |
29400dz1 |
29400.dl |
29400dz |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.091486$ |
$2725888/21$ |
$0.93026$ |
$3.78306$ |
$[0, 1, 0, -8983, 322538]$ |
\(y^2=x^3+x^2-8983x+322538\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
33600.bd3 |
33600ed1 |
33600.bd |
33600ed |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$2.125303403$ |
$1$ |
|
$11$ |
$16384$ |
$0.465105$ |
$2725888/21$ |
$0.93026$ |
$3.01339$ |
$[0, -1, 0, -733, 7837]$ |
\(y^2=x^3-x^2-733x+7837\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.4, 42.6.0.a.1, $\ldots$ |
$[(12, 25), (-28, 75)]$ |
33600.gi3 |
33600cr1 |
33600.gi |
33600cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.787741458$ |
$1$ |
|
$1$ |
$16384$ |
$0.465105$ |
$2725888/21$ |
$0.93026$ |
$3.01339$ |
$[0, 1, 0, -733, -7837]$ |
\(y^2=x^3+x^2-733x-7837\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.4, 42.6.0.a.1, $\ldots$ |
$[(157/2, 1275/2)]$ |
40656.bi3 |
40656i1 |
40656.bi |
40656i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$23040$ |
$0.512759$ |
$2725888/21$ |
$0.93026$ |
$3.01315$ |
$[0, -1, 0, -887, -9810]$ |
\(y^2=x^3-x^2-887x-9810\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
48552.f3 |
48552i1 |
48552.f |
48552i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.730418$ |
$2725888/21$ |
$0.93026$ |
$3.20565$ |
$[0, -1, 0, -2119, -36596]$ |
\(y^2=x^3-x^2-2119x-36596\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
56784.g3 |
56784b1 |
56784.g |
56784b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.328432696$ |
$1$ |
|
$1$ |
$36864$ |
$0.596287$ |
$2725888/21$ |
$0.93026$ |
$3.01275$ |
$[0, -1, 0, -1239, 17094]$ |
\(y^2=x^3-x^2-1239x+17094\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[(262/3, 1880/3)]$ |
58800.ch3 |
58800r1 |
58800.ch |
58800r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.091486$ |
$2725888/21$ |
$0.93026$ |
$3.54429$ |
$[0, -1, 0, -8983, -322538]$ |
\(y^2=x^3-x^2-8983x-322538\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
60648.s3 |
60648v1 |
60648.s |
60648v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$5.197151253$ |
$1$ |
|
$3$ |
$55296$ |
$0.786032$ |
$2725888/21$ |
$0.93026$ |
$3.20149$ |
$[0, -1, 0, -2647, 52960]$ |
\(y^2=x^3-x^2-2647x+52960\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[(257, 4035)]$ |
60984.s3 |
60984bh1 |
60984.s |
60984bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.062065$ |
$2725888/21$ |
$0.93026$ |
$3.50051$ |
$[0, 0, 0, -7986, -272855]$ |
\(y^2=x^3-7986x-272855\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
85176.bu3 |
85176bc1 |
85176.bu |
85176bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$2.402053995$ |
$1$ |
|
$3$ |
$147456$ |
$1.145592$ |
$2725888/21$ |
$0.93026$ |
$3.48578$ |
$[0, 0, 0, -11154, 450385]$ |
\(y^2=x^3-11154x+450385\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(53, 90)]$ |
88200.dy3 |
88200bx1 |
88200.dy |
88200bx |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.309521714$ |
$1$ |
|
$7$ |
$393216$ |
$1.640793$ |
$2725888/21$ |
$0.93026$ |
$3.99694$ |
$[0, 0, 0, -80850, -8789375]$ |
\(y^2=x^3-80850x-8789375\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.3, 42.6.0.a.1, $\ldots$ |
$[(-160, 225)]$ |
88872.r3 |
88872r1 |
88872.r |
88872r |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98560$ |
$0.881559$ |
$2725888/21$ |
$0.93026$ |
$3.19474$ |
$[0, 1, 0, -3879, 91086]$ |
\(y^2=x^3+x^2-3879x+91086\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
97104.bx3 |
97104s1 |
97104.bx |
97104s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.730418$ |
$2725888/21$ |
$0.93026$ |
$3.01215$ |
$[0, 1, 0, -2119, 36596]$ |
\(y^2=x^3+x^2-2119x+36596\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
100800.dt3 |
100800lb1 |
100800.dt |
100800lb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.155825922$ |
$1$ |
|
$3$ |
$131072$ |
$1.014410$ |
$2725888/21$ |
$0.93026$ |
$3.29819$ |
$[0, 0, 0, -6600, -205000]$ |
\(y^2=x^3-6600x-205000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.1, 42.6.0.a.1, $\ldots$ |
$[(94, 72)]$ |
100800.mb3 |
100800em1 |
100800.mb |
100800em |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.950889725$ |
$1$ |
|
$7$ |
$131072$ |
$1.014410$ |
$2725888/21$ |
$0.93026$ |
$3.29819$ |
$[0, 0, 0, -6600, 205000]$ |
\(y^2=x^3-6600x+205000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.2, 42.6.0.a.1, $\ldots$ |
$[(65, 225)]$ |
121296.dh3 |
121296bm1 |
121296.dh |
121296bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$110592$ |
$0.786032$ |
$2725888/21$ |
$0.93026$ |
$3.01192$ |
$[0, 1, 0, -2647, -52960]$ |
\(y^2=x^3+x^2-2647x-52960\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
121968.bg3 |
121968bk1 |
121968.bg |
121968bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$5.778374023$ |
$1$ |
|
$1$ |
$184320$ |
$1.062065$ |
$2725888/21$ |
$0.93026$ |
$3.29333$ |
$[0, 0, 0, -7986, 272855]$ |
\(y^2=x^3-7986x+272855\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(511/3, 1340/3)]$ |
141288.g3 |
141288m1 |
141288.g |
141288m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 29^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$193536$ |
$0.997459$ |
$2725888/21$ |
$0.93026$ |
$3.18712$ |
$[0, -1, 0, -6167, -183120]$ |
\(y^2=x^3-x^2-6167x-183120\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
142296.j3 |
142296ba1 |
142296.j |
142296ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{7} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$14.32187237$ |
$1$ |
|
$7$ |
$552960$ |
$1.485714$ |
$2725888/21$ |
$0.93026$ |
$3.67900$ |
$[0, -1, 0, -43479, -3451776]$ |
\(y^2=x^3-x^2-43479x-3451776\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(313, 3675), (-112, 20)]$ |
145656.bj3 |
145656r1 |
145656.bj |
145656r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.279724$ |
$2725888/21$ |
$0.93026$ |
$3.46386$ |
$[0, 0, 0, -19074, 1007165]$ |
\(y^2=x^3-19074x+1007165\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
161448.n3 |
161448bj1 |
161448.n |
161448bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 31^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5208$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$230400$ |
$1.030806$ |
$2725888/21$ |
$0.93026$ |
$3.18504$ |
$[0, -1, 0, -7047, 228540]$ |
\(y^2=x^3-x^2-7047x+228540\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
162624.bb3 |
162624hc1 |
162624.bb |
162624hc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3 \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$3.081473885$ |
$1$ |
|
$3$ |
$184320$ |
$0.859333$ |
$2725888/21$ |
$0.93026$ |
$3.01163$ |
$[0, -1, 0, -3549, 82029]$ |
\(y^2=x^3-x^2-3549x+82029\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[(53, 200)]$ |
162624.fi3 |
162624j1 |
162624.fi |
162624j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3 \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$184320$ |
$0.859333$ |
$2725888/21$ |
$0.93026$ |
$3.01163$ |
$[0, 1, 0, -3549, -82029]$ |
\(y^2=x^3+x^2-3549x-82029\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
170352.eu3 |
170352fj1 |
170352.eu |
170352fj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$31.14979123$ |
$1$ |
|
$3$ |
$294912$ |
$1.145592$ |
$2725888/21$ |
$0.93026$ |
$3.28520$ |
$[0, 0, 0, -11154, -450385]$ |
\(y^2=x^3-11154x-450385\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(-1481/5, 6228/5), (335, 5780)]$ |
176400.jf3 |
176400oy1 |
176400.jf |
176400oy |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.382011335$ |
$1$ |
|
$5$ |
$786432$ |
$1.640793$ |
$2725888/21$ |
$0.93026$ |
$3.76761$ |
$[0, 0, 0, -80850, 8789375]$ |
\(y^2=x^3-80850x+8789375\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.3, 42.6.0.a.1, $\ldots$ |
$[(35, 2450)]$ |
177744.l3 |
177744da1 |
177744.l |
177744da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$197120$ |
$0.881559$ |
$2725888/21$ |
$0.93026$ |
$3.01155$ |
$[0, -1, 0, -3879, -91086]$ |
\(y^2=x^3-x^2-3879x-91086\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
181944.e3 |
181944bj1 |
181944.e |
181944bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$7.731407799$ |
$1$ |
|
$1$ |
$442368$ |
$1.335337$ |
$2725888/21$ |
$0.93026$ |
$3.45534$ |
$[0, 0, 0, -23826, -1406095]$ |
\(y^2=x^3-23826x-1406095\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[(37601/8, 7008815/8)]$ |
198744.bd3 |
198744bv1 |
198744.bd |
198744bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.465532807$ |
$1$ |
|
$1$ |
$884736$ |
$1.569242$ |
$2725888/21$ |
$0.93026$ |
$3.66040$ |
$[0, -1, 0, -60727, 5741800]$ |
\(y^2=x^3-x^2-60727x+5741800\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(2593/3, 93835/3)]$ |