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 |
858.h2 |
858e2 |
858.h |
858e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1152$ |
$0.841285$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.93269$ |
$[1, 1, 1, -1387, 4121]$ |
\(y^2+xy+y=x^3+x^2-1387x+4121\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 132.24.0.?, 264.48.0.? |
$[ ]$ |
2574.e2 |
2574m2 |
2574.e |
2574m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.493300892$ |
$1$ |
|
$8$ |
$9216$ |
$1.390591$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.08200$ |
$[1, -1, 0, -12483, -123755]$ |
\(y^2+xy=x^3-x^2-12483x-123755\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 44.12.0-2.a.1.1, $\ldots$ |
$[(-18, 317)]$ |
6864.y2 |
6864y2 |
6864.y |
6864y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$27648$ |
$1.534431$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.71314$ |
$[0, 1, 0, -22192, -308140]$ |
\(y^2=x^3+x^2-22192x-308140\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 132.24.0.?, 264.48.0.? |
$[ ]$ |
9438.f2 |
9438i2 |
9438.f |
9438i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.694933727$ |
$1$ |
|
$6$ |
$138240$ |
$2.040234$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.21232$ |
$[1, 1, 0, -167829, -6324435]$ |
\(y^2+xy=x^3+x^2-167829x-6324435\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 44.12.0-2.a.1.1, $\ldots$ |
$[(-363, 2814)]$ |
11154.c2 |
11154i2 |
11154.c |
11154i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$193536$ |
$2.123760$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.22643$ |
$[1, 1, 0, -234406, 10226260]$ |
\(y^2+xy=x^3+x^2-234406x+10226260\) |
2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 104.24.0.?, 132.12.0.?, $\ldots$ |
$[ ]$ |
20592.i2 |
20592bc2 |
20592.i |
20592bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{12} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$3.138936307$ |
$1$ |
|
$9$ |
$221184$ |
$2.083740$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.85548$ |
$[0, 0, 0, -199731, 8120050]$ |
\(y^2=x^3-199731x+8120050\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 44.12.0-2.a.1.1, $\ldots$ |
$[(-297, 6422)]$ |
21450.w2 |
21450z2 |
21450.w |
21450z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$0.376013064$ |
$1$ |
|
$20$ |
$147456$ |
$1.646004$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.30892$ |
$[1, 0, 1, -34676, 584498]$ |
\(y^2+xy+y=x^3-34676x+584498\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 132.12.0.?, $\ldots$ |
$[(-87, 1759)]$ |
27456.e2 |
27456bo2 |
27456.e |
27456bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.130115299$ |
$1$ |
|
$9$ |
$221184$ |
$1.881006$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.48077$ |
$[0, -1, 0, -88769, -2376351]$ |
\(y^2=x^3-x^2-88769x-2376351\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 132.24.0.?, 264.48.0.? |
$[(-40, 1053)]$ |
27456.bs2 |
27456bi2 |
27456.bs |
27456bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.881006$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.48077$ |
$[0, 1, 0, -88769, 2376351]$ |
\(y^2=x^3+x^2-88769x+2376351\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 132.24.0.?, 264.48.0.? |
$[ ]$ |
28314.bg2 |
28314ch2 |
28314.bg |
28314ch |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$264$ |
$48$ |
$0$ |
$1.630415791$ |
$1$ |
|
$12$ |
$1105920$ |
$2.589539$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.29673$ |
$[1, -1, 1, -1510466, 169249281]$ |
\(y^2+xy+y=x^3-x^2-1510466x+169249281\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 132.24.0.?, 264.48.0.? |
$[(-613, 29709)]$ |
33462.cy2 |
33462cj2 |
33462.cy |
33462cj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3432$ |
$48$ |
$0$ |
$5.324962633$ |
$1$ |
|
$4$ |
$1548288$ |
$2.673065$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.30801$ |
$[1, -1, 1, -2109659, -278218677]$ |
\(y^2+xy+y=x^3-x^2-2109659x-278218677\) |
2.6.0.a.1, 8.12.0.b.1, 132.12.0.?, 156.12.0.?, 264.24.0.?, $\ldots$ |
$[(7367, 615966)]$ |
42042.cw2 |
42042dg2 |
42042.cw |
42042dg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1848$ |
$48$ |
$0$ |
$0.425095532$ |
$1$ |
|
$18$ |
$331776$ |
$1.814240$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.22619$ |
$[1, 0, 0, -67964, -1617456]$ |
\(y^2+xy=x^3-67964x-1617456\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.2, 132.12.0.?, $\ldots$ |
$[(340, 3652)]$ |
64350.cx2 |
64350es2 |
64350.cx |
64350es |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$0.823599864$ |
$1$ |
|
$16$ |
$1179648$ |
$2.195309$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.47672$ |
$[1, -1, 1, -312080, -15781453]$ |
\(y^2+xy+y=x^3-x^2-312080x-15781453\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 120.24.0.?, 132.12.0.?, $\ldots$ |
$[(-207, 6421)]$ |
75504.cr2 |
75504da2 |
75504.cr |
75504da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$3.454892286$ |
$1$ |
|
$7$ |
$3317760$ |
$2.733379$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.98787$ |
$[0, 1, 0, -2685272, 399393300]$ |
\(y^2=x^3+x^2-2685272x+399393300\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 44.12.0-2.a.1.1, $\ldots$ |
$[(-92, 25410)]$ |
82368.dn2 |
82368fc2 |
82368.dn |
82368fc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{12} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$4.170740057$ |
$1$ |
|
$7$ |
$1769472$ |
$2.430313$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.62823$ |
$[0, 0, 0, -798924, 64960400]$ |
\(y^2=x^3-798924x+64960400\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 44.12.0-2.a.1.2, $\ldots$ |
$[(-800, 13860)]$ |
82368.eh2 |
82368bh2 |
82368.eh |
82368bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{12} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$6.925442561$ |
$1$ |
|
$3$ |
$1769472$ |
$2.430313$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.62823$ |
$[0, 0, 0, -798924, -64960400]$ |
\(y^2=x^3-798924x-64960400\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 44.12.0-2.a.1.2, $\ldots$ |
$[(-11532/7, 3597880/7)]$ |
89232.bt2 |
89232cb2 |
89232.bt |
89232cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3432$ |
$48$ |
$0$ |
$5.705993163$ |
$1$ |
|
$5$ |
$4644864$ |
$2.816906$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.00270$ |
$[0, 1, 0, -3750504, -661981644]$ |
\(y^2=x^3+x^2-3750504x-661981644\) |
2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 104.24.0.?, 132.12.0.?, $\ldots$ |
$[(7566, 635712)]$ |
122694.by2 |
122694cp2 |
122694.by |
122694cp |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{8} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3432$ |
$48$ |
$0$ |
$11.19873416$ |
$1$ |
|
$2$ |
$23224320$ |
$3.322708$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.38474$ |
$[1, 1, 1, -28363189, -13752967909]$ |
\(y^2+xy+y=x^3+x^2-28363189x-13752967909\) |
2.6.0.a.1, 8.12.0.b.1, 132.12.0.?, 156.12.0.?, 264.24.0.?, $\ldots$ |
$[(3646693/21, 5177770310/21)]$ |
126126.cr2 |
126126dc2 |
126126.cr |
126126dc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1848$ |
$48$ |
$0$ |
$2.101933146$ |
$1$ |
|
$8$ |
$2654208$ |
$2.363548$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.39211$ |
$[1, -1, 0, -611676, 43671312]$ |
\(y^2+xy=x^3-x^2-611676x+43671312\) |
2.6.0.a.1, 8.12.0.b.1, 84.12.0.?, 132.12.0.?, 168.24.0.?, $\ldots$ |
$[(891, 13887)]$ |
171600.ea2 |
171600ex2 |
171600.ea |
171600ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3538944$ |
$2.339149$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.25563$ |
$[0, -1, 0, -554808, -37407888]$ |
\(y^2=x^3-x^2-554808x-37407888\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 132.12.0.?, $\ldots$ |
$[ ]$ |
226512.cb2 |
226512w2 |
226512.cb |
226512w |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{12} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$264$ |
$48$ |
$0$ |
$6.864790428$ |
$1$ |
|
$3$ |
$26542080$ |
$3.282684$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.07805$ |
$[0, 0, 0, -24167451, -10807786550]$ |
\(y^2=x^3-24167451x-10807786550\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 132.24.0.?, 264.48.0.? |
$[(-72775/4, 4533165/4)]$ |
235950.iw2 |
235950iw2 |
235950.iw |
235950iw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$17694720$ |
$2.844952$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.63670$ |
$[1, 0, 0, -4195738, -782162908]$ |
\(y^2+xy=x^3-4195738x-782162908\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 120.24.0.?, 132.12.0.?, $\ldots$ |
$[ ]$ |
247962.bc2 |
247962bc2 |
247962.bc |
247962bc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4488$ |
$48$ |
$0$ |
$2.597186510$ |
$1$ |
|
$28$ |
$5898240$ |
$2.257893$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.05100$ |
$[1, 0, 0, -400849, 23053289]$ |
\(y^2+xy=x^3-400849x+23053289\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0-2.a.1.1, 132.12.0.?, 136.24.0.?, $\ldots$ |
$[(-10, 5207), (-280, 10787)]$ |
267696.fn2 |
267696fn2 |
267696.fn |
267696fn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{12} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3432$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$37158912$ |
$3.366215$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.09037$ |
$[0, 0, 0, -33754539, 17839749850]$ |
\(y^2=x^3-33754539x+17839749850\) |
2.6.0.a.1, 8.12.0.b.1, 132.12.0.?, 156.12.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
278850.jd2 |
278850jd2 |
278850.jd |
278850jd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$24772608$ |
$2.928478$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.65486$ |
$[1, 0, 0, -5860163, 1290002817]$ |
\(y^2+xy=x^3-5860163x+1290002817\) |
2.6.0.a.1, 8.12.0.b.1, 132.12.0.?, 260.12.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
302016.bf2 |
302016bf2 |
302016.bf |
302016bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$15.69563507$ |
$1$ |
|
$3$ |
$26542080$ |
$3.079952$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.76948$ |
$[0, -1, 0, -10741089, 3205887489]$ |
\(y^2=x^3-x^2-10741089x+3205887489\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.2, 24.24.0-8.b.1.4, 44.12.0-2.a.1.1, $\ldots$ |
$[(1233141240/83, 43295756851809/83)]$ |
302016.ep2 |
302016ep2 |
302016.ep |
302016ep |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$4.263313725$ |
$1$ |
|
$7$ |
$26542080$ |
$3.079952$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.76948$ |
$[0, 1, 0, -10741089, -3205887489]$ |
\(y^2=x^3+x^2-10741089x-3205887489\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.2, 24.24.0-8.b.1.4, 44.12.0-2.a.1.1, $\ldots$ |
$[(-2349, 95232)]$ |
309738.bd2 |
309738bd2 |
309738.bd |
309738bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7962624$ |
$2.313503$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.03251$ |
$[1, 0, 1, -500715, -32272874]$ |
\(y^2+xy+y=x^3-500715x-32272874\) |
2.6.0.a.1, 8.12.0.b.1, 76.12.0.?, 132.12.0.?, 152.24.0.?, $\ldots$ |
$[ ]$ |
336336.bg2 |
336336bg2 |
336336.bg |
336336bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1.260087653$ |
$1$ |
|
$13$ |
$7962624$ |
$2.507389$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.18923$ |
$[0, -1, 0, -1087424, 103517184]$ |
\(y^2=x^3-x^2-1087424x+103517184\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.1, 132.12.0.?, $\ldots$ |
$[(-86, 14014)]$ |
356928.ds2 |
356928ds2 |
356928.ds |
356928ds |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3432$ |
$48$ |
$0$ |
$32.95565882$ |
$1$ |
|
$3$ |
$37158912$ |
$3.163479$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.78555$ |
$[0, -1, 0, -15002017, -5280851135]$ |
\(y^2=x^3-x^2-15002017x-5280851135\) |
2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 104.24.0.?, 132.12.0.?, $\ldots$ |
$[(-5446174390178720/1785227, 705194062315072576658685/1785227)]$ |
356928.hg2 |
356928hg2 |
356928.hg |
356928hg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$37158912$ |
$3.163479$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.78555$ |
$[0, 1, 0, -15002017, 5280851135]$ |
\(y^2=x^3+x^2-15002017x+5280851135\) |
2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 104.24.0.?, 132.12.0.?, $\ldots$ |
$[ ]$ |
368082.dm2 |
368082dm2 |
368082.dm |
368082dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 11^{8} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3432$ |
$48$ |
$0$ |
$24.60526187$ |
$1$ |
|
$2$ |
$185794560$ |
$3.872013$ |
$295102348042033/161237583936$ |
$1.05880$ |
$5.43748$ |
$[1, -1, 0, -255268701, 371074864837]$ |
\(y^2+xy=x^3-x^2-255268701x+371074864837\) |
2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 104.24.0.?, 132.12.0.?, $\ldots$ |
$[(685597461029/3337, 547552499247619451/3337)]$ |
453882.bx2 |
453882bx2 |
453882.bx |
453882bx |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 23^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$14192640$ |
$2.409031$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.00222$ |
$[1, 1, 1, -733734, -57479709]$ |
\(y^2+xy+y=x^3+x^2-733734x-57479709\) |
2.6.0.a.1, 8.12.0.b.1, 92.12.0.?, 132.12.0.?, 184.24.0.?, $\ldots$ |
$[ ]$ |
462462.dg2 |
462462dg2 |
462462.dg |
462462dg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 11^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$39813120$ |
$3.013187$ |
$295102348042033/161237583936$ |
$1.05880$ |
$4.55226$ |
$[1, 0, 1, -8223647, 2144610290]$ |
\(y^2+xy+y=x^3-8223647x+2144610290\) |
2.6.0.a.1, 8.12.0.b.1, 84.12.0.?, 132.12.0.?, 168.24.0.?, $\ldots$ |
$[ ]$ |