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 |
840.d2 |
840f3 |
840.d |
840f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.6 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.196597963$ |
$1$ |
|
$7$ |
$512$ |
$0.586342$ |
$34008619684/4862025$ |
$0.94251$ |
$4.63085$ |
$[0, -1, 0, -680, -5700]$ |
\(y^2=x^3-x^2-680x-5700\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.i.2.1, 40.48.0-40.e.1.10, 56.48.0-56.h.2.5, $\ldots$ |
$[(-15, 30)]$ |
1680.t2 |
1680j3 |
1680.t |
1680j |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.5 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$1024$ |
$0.586342$ |
$34008619684/4862025$ |
$0.94251$ |
$4.19863$ |
$[0, 1, 0, -680, 5700]$ |
\(y^2=x^3+x^2-680x+5700\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.2.9, 40.48.0-40.e.1.1, 56.48.0-56.h.2.1, $\ldots$ |
$[]$ |
2520.f2 |
2520e3 |
2520.f |
2520e |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$1.135647$ |
$34008619684/4862025$ |
$0.94251$ |
$4.82290$ |
$[0, 0, 0, -6123, 160022]$ |
\(y^2=x^3-6123x+160022\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.1, 24.48.0-24.i.2.10, $\ldots$ |
$[]$ |
4200.bb2 |
4200o3 |
4200.bb |
4200o |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.285407217$ |
$1$ |
|
$11$ |
$12288$ |
$1.391060$ |
$34008619684/4862025$ |
$0.94251$ |
$4.89497$ |
$[0, 1, 0, -17008, -746512]$ |
\(y^2=x^3+x^2-17008x-746512\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 20.24.0-4.b.1.1, 24.48.0-24.i.2.22, $\ldots$ |
$[(-76, 336)]$ |
5040.l2 |
5040m3 |
5040.l |
5040m |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$840$ |
$192$ |
$1$ |
$0.814397455$ |
$1$ |
|
$17$ |
$8192$ |
$1.135647$ |
$34008619684/4862025$ |
$0.94251$ |
$4.43077$ |
$[0, 0, 0, -6123, -160022]$ |
\(y^2=x^3-6123x-160022\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 12.24.0-4.b.1.3, 24.48.0-24.i.2.2, $\ldots$ |
$[(-51, 140)]$ |
5880.t2 |
5880bf3 |
5880.t |
5880bf |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.559296$ |
$34008619684/4862025$ |
$0.94251$ |
$4.93781$ |
$[0, 1, 0, -33336, 2021760]$ |
\(y^2=x^3+x^2-33336x+2021760\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.i.2.14, 28.24.0-4.b.1.1, $\ldots$ |
$[]$ |
6720.m2 |
6720bm3 |
6720.m |
6720bm |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$840$ |
$192$ |
$1$ |
$0.866263689$ |
$1$ |
|
$15$ |
$8192$ |
$0.932915$ |
$34008619684/4862025$ |
$0.94251$ |
$4.01008$ |
$[0, -1, 0, -2721, 48321]$ |
\(y^2=x^3-x^2-2721x+48321\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 20.24.0-4.b.1.2, 24.48.0-24.i.2.3, $\ldots$ |
$[(53, 224)]$ |
6720.bl2 |
6720q3 |
6720.bl |
6720q |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$0.932915$ |
$34008619684/4862025$ |
$0.94251$ |
$4.01008$ |
$[0, 1, 0, -2721, -48321]$ |
\(y^2=x^3+x^2-2721x-48321\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 20.24.0-4.b.1.2, 24.48.0-24.i.2.11, $\ldots$ |
$[]$ |
8400.l2 |
8400c3 |
8400.l |
8400c |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.601163015$ |
$1$ |
|
$13$ |
$24576$ |
$1.391060$ |
$34008619684/4862025$ |
$0.94251$ |
$4.51948$ |
$[0, -1, 0, -17008, 746512]$ |
\(y^2=x^3-x^2-17008x+746512\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 20.24.0-4.b.1.3, 24.48.0-24.i.2.30, $\ldots$ |
$[(48, 196)]$ |
11760.o2 |
11760e3 |
11760.o |
11760e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.559296$ |
$34008619684/4862025$ |
$0.94251$ |
$4.57263$ |
$[0, -1, 0, -33336, -2021760]$ |
\(y^2=x^3-x^2-33336x-2021760\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.i.2.6, 28.24.0-4.b.1.3, $\ldots$ |
$[]$ |
12600.ck2 |
12600cb3 |
12600.ck |
12600cb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.940367$ |
$34008619684/4862025$ |
$0.94251$ |
$5.02355$ |
$[0, 0, 0, -153075, 20002750]$ |
\(y^2=x^3-153075x+20002750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.i.2.29, 40.48.0-40.e.1.6, $\ldots$ |
$[]$ |
17640.cq2 |
17640bd3 |
17640.cq |
17640bd |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$196608$ |
$2.108604$ |
$34008619684/4862025$ |
$0.94251$ |
$5.05716$ |
$[0, 0, 0, -300027, -54887546]$ |
\(y^2=x^3-300027x-54887546\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.i.2.5, 40.48.0-40.e.1.14, $\ldots$ |
$[]$ |
20160.da2 |
20160cd3 |
20160.da |
20160cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.372426524$ |
$1$ |
|
$9$ |
$65536$ |
$1.482222$ |
$34008619684/4862025$ |
$0.94251$ |
$4.23065$ |
$[0, 0, 0, -24492, 1280176]$ |
\(y^2=x^3-24492x+1280176\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.i.2.4, 40.48.0-40.e.1.4, $\ldots$ |
$[(-34, 1440)]$ |
20160.fg2 |
20160fg3 |
20160.fg |
20160fg |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.994257181$ |
$1$ |
|
$11$ |
$65536$ |
$1.482222$ |
$34008619684/4862025$ |
$0.94251$ |
$4.23065$ |
$[0, 0, 0, -24492, -1280176]$ |
\(y^2=x^3-24492x-1280176\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.i.2.12, 40.48.0-40.e.1.6, $\ldots$ |
$[(-67, 245)]$ |
25200.q2 |
25200be4 |
25200.q |
25200be |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.940367$ |
$34008619684/4862025$ |
$0.94251$ |
$4.67997$ |
$[0, 0, 0, -153075, -20002750]$ |
\(y^2=x^3-153075x-20002750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.i.2.21, 40.48.0-40.e.1.4, $\ldots$ |
$[]$ |
29400.i2 |
29400r4 |
29400.i |
29400r |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$2.364014$ |
$34008619684/4862025$ |
$0.94251$ |
$5.10397$ |
$[0, -1, 0, -833408, 254386812]$ |
\(y^2=x^3-x^2-833408x+254386812\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.i.2.25, 40.48.0-40.e.1.15, $\ldots$ |
$[]$ |
33600.dp2 |
33600x4 |
33600.dp |
33600x |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.737635$ |
$34008619684/4862025$ |
$0.94251$ |
$4.31737$ |
$[0, -1, 0, -68033, -5904063]$ |
\(y^2=x^3-x^2-68033x-5904063\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.i.2.32, 40.48.0-40.e.1.11, 56.48.0-56.h.2.32, $\ldots$ |
$[]$ |
33600.dx2 |
33600gg4 |
33600.dx |
33600gg |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.762290069$ |
$1$ |
|
$9$ |
$196608$ |
$1.737635$ |
$34008619684/4862025$ |
$0.94251$ |
$4.31737$ |
$[0, 1, 0, -68033, 5904063]$ |
\(y^2=x^3+x^2-68033x+5904063\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.i.2.24, 40.48.0-40.e.1.7, 56.48.0-56.h.2.28, $\ldots$ |
$[(-47, 3000)]$ |
35280.dm2 |
35280cq4 |
35280.dm |
35280cq |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$393216$ |
$2.108604$ |
$34008619684/4862025$ |
$0.94251$ |
$4.72239$ |
$[0, 0, 0, -300027, 54887546]$ |
\(y^2=x^3-300027x+54887546\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.i.2.13, 40.48.0-40.e.1.14, $\ldots$ |
$[]$ |
47040.dn2 |
47040bm4 |
47040.dn |
47040bm |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$4.024962549$ |
$1$ |
|
$7$ |
$393216$ |
$1.905870$ |
$34008619684/4862025$ |
$0.94251$ |
$4.36999$ |
$[0, -1, 0, -133345, 16307425]$ |
\(y^2=x^3-x^2-133345x+16307425\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.i.2.8, 40.48.0-40.e.1.15, $\ldots$ |
$[(307, 2052)]$ |
47040.fw2 |
47040hf4 |
47040.fw |
47040hf |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.716817224$ |
$1$ |
|
$7$ |
$393216$ |
$1.905870$ |
$34008619684/4862025$ |
$0.94251$ |
$4.36999$ |
$[0, 1, 0, -133345, -16307425]$ |
\(y^2=x^3+x^2-133345x-16307425\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.i.2.16, 40.48.0-40.e.1.19, $\ldots$ |
$[(-190, 1485)]$ |
58800.ji2 |
58800dj4 |
58800.ji |
58800dj |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.130547002$ |
$1$ |
|
$9$ |
$1179648$ |
$2.364014$ |
$34008619684/4862025$ |
$0.94251$ |
$4.78182$ |
$[0, 1, 0, -833408, -254386812]$ |
\(y^2=x^3+x^2-833408x-254386812\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.i.2.17, 40.48.0-40.e.1.19, $\ldots$ |
$[(-656, 3234)]$ |
88200.hg2 |
88200gu4 |
88200.hg |
88200gu |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.16 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$4718592$ |
$2.913322$ |
$34008619684/4862025$ |
$0.94251$ |
$5.19041$ |
$[0, 0, 0, -7500675, -6860943250]$ |
\(y^2=x^3-7500675x-6860943250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.7, 24.48.0-24.i.2.18, 40.48.0-40.e.1.17, $\ldots$ |
$[]$ |
100800.gr2 |
100800lw4 |
100800.gr |
100800lw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$4.827506290$ |
$1$ |
|
$7$ |
$1572864$ |
$2.286942$ |
$34008619684/4862025$ |
$0.94251$ |
$4.47782$ |
$[0, 0, 0, -612300, -160022000]$ |
\(y^2=x^3-612300x-160022000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.2, 24.48.0-24.i.2.31, $\ldots$ |
$[(-555, 2975)]$ |
100800.ja2 |
100800fq4 |
100800.ja |
100800fq |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.649730334$ |
$1$ |
|
$11$ |
$1572864$ |
$2.286942$ |
$34008619684/4862025$ |
$0.94251$ |
$4.47782$ |
$[0, 0, 0, -612300, 160022000]$ |
\(y^2=x^3-612300x+160022000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 12.24.0-4.b.1.2, 24.48.0-24.i.2.23, $\ldots$ |
$[(685, 7875)]$ |
101640.bf2 |
101640p4 |
101640.bf |
101640p |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$655360$ |
$1.785290$ |
$34008619684/4862025$ |
$0.94251$ |
$3.95246$ |
$[0, -1, 0, -82320, 7915932]$ |
\(y^2=x^3-x^2-82320x+7915932\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 44.24.0-4.b.1.1, $\ldots$ |
$[]$ |
141120.y2 |
141120lh4 |
141120.y |
141120lh |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.805829859$ |
$1$ |
|
$9$ |
$3145728$ |
$2.455177$ |
$34008619684/4862025$ |
$0.94251$ |
$4.52102$ |
$[0, 0, 0, -1200108, -439100368]$ |
\(y^2=x^3-1200108x-439100368\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.i.2.15, 40.48.0-40.e.1.16, $\ldots$ |
$[(-488, 5508)]$ |
141120.gx2 |
141120en3 |
141120.gx |
141120en |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$3145728$ |
$2.455177$ |
$34008619684/4862025$ |
$0.94251$ |
$4.52102$ |
$[0, 0, 0, -1200108, 439100368]$ |
\(y^2=x^3-1200108x+439100368\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.i.2.7, 40.48.0-40.e.1.16, $\ldots$ |
$[]$ |
141960.r2 |
141960ci4 |
141960.r |
141960ci |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$1.868816$ |
$34008619684/4862025$ |
$0.94251$ |
$3.92564$ |
$[0, -1, 0, -114976, -12982724]$ |
\(y^2=x^3-x^2-114976x-12982724\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 52.24.0-4.b.1.1, $\ldots$ |
$[]$ |
176400.cg2 |
176400oa3 |
176400.cg |
176400oa |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.16 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.592693031$ |
$1$ |
|
$9$ |
$9437184$ |
$2.913322$ |
$34008619684/4862025$ |
$0.94251$ |
$4.89260$ |
$[0, 0, 0, -7500675, 6860943250]$ |
\(y^2=x^3-7500675x+6860943250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.7, 24.48.0-24.i.2.26, 40.48.0-40.e.1.17, $\ldots$ |
$[(2555, 66150)]$ |
203280.fx2 |
203280ff4 |
203280.fx |
203280ff |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1310720$ |
$1.785290$ |
$34008619684/4862025$ |
$0.94251$ |
$3.72831$ |
$[0, 1, 0, -82320, -7915932]$ |
\(y^2=x^3+x^2-82320x-7915932\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 44.24.0-4.b.1.3, $\ldots$ |
$[]$ |
235200.cj2 |
235200cj4 |
235200.cj |
235200cj |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$7.806700003$ |
$1$ |
|
$3$ |
$9437184$ |
$2.710590$ |
$34008619684/4862025$ |
$0.94251$ |
$4.58210$ |
$[0, -1, 0, -3333633, -2031760863]$ |
\(y^2=x^3-x^2-3333633x-2031760863\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.i.2.27, 28.24.0-4.b.1.2, $\ldots$ |
$[(-7952/3, 403325/3)]$ |
235200.bbn2 |
235200bbn3 |
235200.bbn |
235200bbn |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$840$ |
$192$ |
$1$ |
$4.692328030$ |
$1$ |
|
$7$ |
$9437184$ |
$2.710590$ |
$34008619684/4862025$ |
$0.94251$ |
$4.58210$ |
$[0, 1, 0, -3333633, 2031760863]$ |
\(y^2=x^3+x^2-3333633x+2031760863\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.i.2.19, 28.24.0-4.b.1.2, $\ldots$ |
$[(627, 13728)]$ |
242760.cr2 |
242760cr4 |
242760.cr |
242760cr |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2621440$ |
$2.002949$ |
$34008619684/4862025$ |
$0.94251$ |
$3.88559$ |
$[0, 1, 0, -196616, -29183616]$ |
\(y^2=x^3+x^2-196616x-29183616\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 56.24.0.h.2, $\ldots$ |
$[]$ |
283920.ej2 |
283920ej3 |
283920.ej |
283920ej |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$2.697277353$ |
$1$ |
|
$27$ |
$2359296$ |
$1.868816$ |
$34008619684/4862025$ |
$0.94251$ |
$3.70893$ |
$[0, 1, 0, -114976, 12982724]$ |
\(y^2=x^3+x^2-114976x+12982724\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 52.24.0-4.b.1.3, $\ldots$ |
$[(104, 1470), (82, 2028)]$ |
303240.bp2 |
303240bp3 |
303240.bp |
303240bp |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$15960$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$3538944$ |
$2.058559$ |
$34008619684/4862025$ |
$0.94251$ |
$3.86998$ |
$[0, 1, 0, -245600, 40569648]$ |
\(y^2=x^3+x^2-245600x+40569648\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 56.24.0.h.2, $\ldots$ |
$[]$ |
304920.ch2 |
304920ch4 |
304920.ch |
304920ch |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$3.277902631$ |
$1$ |
|
$9$ |
$5242880$ |
$2.334595$ |
$34008619684/4862025$ |
$0.94251$ |
$4.13060$ |
$[0, 0, 0, -740883, -212989282]$ |
\(y^2=x^3-740883x-212989282\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 56.24.0.h.2, $\ldots$ |
$[(-557, 5184)]$ |
425880.eb2 |
425880eb3 |
425880.eb |
425880eb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$2.511710261$ |
$1$ |
|
$9$ |
$9437184$ |
$2.418121$ |
$34008619684/4862025$ |
$0.94251$ |
$4.10146$ |
$[0, 0, 0, -1034787, 351568334]$ |
\(y^2=x^3-1034787x+351568334\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 56.24.0.h.2, $\ldots$ |
$[(923, 13520)]$ |
444360.p2 |
444360p3 |
444360.p |
444360p |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$19320$ |
$192$ |
$1$ |
$6.662386908$ |
$1$ |
|
$15$ |
$6488064$ |
$2.154087$ |
$34008619684/4862025$ |
$0.94251$ |
$3.84442$ |
$[0, -1, 0, -359896, 72230620]$ |
\(y^2=x^3-x^2-359896x+72230620\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 56.24.0.h.2, $\ldots$ |
$[(974, 25392), (193, 3150)]$ |
485520.b2 |
485520b3 |
485520.b |
485520b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$2.180466017$ |
$1$ |
|
$9$ |
$5242880$ |
$2.002949$ |
$34008619684/4862025$ |
$0.94251$ |
$3.67988$ |
$[0, -1, 0, -196616, 29183616]$ |
\(y^2=x^3-x^2-196616x+29183616\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0.e.1, 56.24.0.h.2, $\ldots$ |
$[(40, 4624)]$ |
705600.hk2 |
- |
705600.hk |
- |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.12 |
2Cs |
$840$ |
$192$ |
$1$ |
$5.948505723$ |
$1$ |
|
$5$ |
$75497472$ |
$3.259895$ |
$34008619684/4862025$ |
$0.94251$ |
$4.69777$ |
$[0, 0, 0, -30002700, -54887546000]$ |
\(y^2=x^3-30002700x-54887546000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.i.2.28, 40.48.0-40.e.1.18, $\ldots$ |
$[(14165, 1536975)]$ |
705600.bwv2 |
- |
705600.bwv |
- |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.12 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$75497472$ |
$3.259895$ |
$34008619684/4862025$ |
$0.94251$ |
$4.69777$ |
$[0, 0, 0, -30002700, 54887546000]$ |
\(y^2=x^3-30002700x+54887546000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.i.2.20, 40.48.0-40.e.1.18, $\ldots$ |
$[]$ |