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 |
480.a4 |
480e4 |
480.a |
480e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.565640$ |
$2863288/13286025$ |
$1.17383$ |
$4.87467$ |
$[0, -1, 0, 24, 3960]$ |
\(y^2=x^3-x^2+24x+3960\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 24.48.0-24.n.1.7 |
$[ ]$ |
480.f4 |
480d4 |
480.f |
480d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$384$ |
$0.565640$ |
$2863288/13286025$ |
$1.17383$ |
$4.87467$ |
$[0, 1, 0, 24, -3960]$ |
\(y^2=x^3+x^2+24x-3960\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 24.48.0-24.n.1.5 |
$[ ]$ |
960.h4 |
960d4 |
960.h |
960d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.912214$ |
$2863288/13286025$ |
$1.17383$ |
$4.98826$ |
$[0, -1, 0, 95, -31775]$ |
\(y^2=x^3-x^2+95x-31775\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 24.48.0-24.n.1.2 |
$[ ]$ |
960.m4 |
960h4 |
960.m |
960h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$24$ |
$48$ |
$0$ |
$0.595727432$ |
$1$ |
|
$17$ |
$1536$ |
$0.912214$ |
$2863288/13286025$ |
$1.17383$ |
$4.98826$ |
$[0, 1, 0, 95, 31775]$ |
\(y^2=x^3+x^2+95x+31775\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 24.48.0-24.n.1.4 |
$[(5, 180)]$ |
1440.g4 |
1440g4 |
1440.g |
1440g |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$24$ |
$48$ |
$0$ |
$3.759529025$ |
$1$ |
|
$3$ |
$3072$ |
$1.114946$ |
$2863288/13286025$ |
$1.17383$ |
$5.04467$ |
$[0, 0, 0, 213, -107134]$ |
\(y^2=x^3+213x-107134\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 12.12.0-4.c.1.1, 24.48.0-24.n.1.8 |
$[(62, 380)]$ |
1440.n4 |
1440n4 |
1440.n |
1440n |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.114946$ |
$2863288/13286025$ |
$1.17383$ |
$5.04467$ |
$[0, 0, 0, 213, 107134]$ |
\(y^2=x^3+213x+107134\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 12.12.0-4.c.1.2, 24.48.0-24.n.1.6 |
$[ ]$ |
2400.a4 |
2400v4 |
2400.a |
2400v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.370359$ |
$2863288/13286025$ |
$1.17383$ |
$5.10737$ |
$[0, -1, 0, 592, -496188]$ |
\(y^2=x^3-x^2+592x-496188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 24.24.0.n.1, $\ldots$ |
$[ ]$ |
2400.bh4 |
2400l4 |
2400.bh |
2400l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.370359$ |
$2863288/13286025$ |
$1.17383$ |
$5.10737$ |
$[0, 1, 0, 592, 496188]$ |
\(y^2=x^3+x^2+592x+496188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 24.24.0.n.1, $\ldots$ |
$[ ]$ |
2880.c4 |
2880o4 |
2880.c |
2880o |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( - 2^{15} \cdot 3^{18} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.118 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.461519$ |
$2863288/13286025$ |
$1.17383$ |
$5.12780$ |
$[0, 0, 0, 852, -857072]$ |
\(y^2=x^3+852x-857072\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 12.12.0-4.c.1.2, 24.48.0-24.n.1.3 |
$[ ]$ |
2880.p4 |
2880m4 |
2880.p |
2880m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( - 2^{15} \cdot 3^{18} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.118 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.461519$ |
$2863288/13286025$ |
$1.17383$ |
$5.12780$ |
$[0, 0, 0, 852, 857072]$ |
\(y^2=x^3+852x+857072\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 12.12.0-4.c.1.1, 24.48.0-24.n.1.1 |
$[ ]$ |
4800.bg4 |
4800g4 |
4800.bg |
4800g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$5.459932853$ |
$1$ |
|
$3$ |
$36864$ |
$1.716932$ |
$2863288/13286025$ |
$1.17383$ |
$5.18036$ |
$[0, -1, 0, 2367, 3967137]$ |
\(y^2=x^3-x^2+2367x+3967137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 24.24.0.n.1, $\ldots$ |
$[(1072, 35175)]$ |
4800.bo4 |
4800z4 |
4800.bo |
4800z |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.716932$ |
$2863288/13286025$ |
$1.17383$ |
$5.18036$ |
$[0, 1, 0, 2367, -3967137]$ |
\(y^2=x^3+x^2+2367x-3967137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 24.24.0.n.1, $\ldots$ |
$[ ]$ |
7200.d4 |
7200p4 |
7200.d |
7200p |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.919666$ |
$2863288/13286025$ |
$1.17383$ |
$5.21778$ |
$[0, 0, 0, 5325, 13391750]$ |
\(y^2=x^3+5325x+13391750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.3, $\ldots$ |
$[ ]$ |
7200.bw4 |
7200bo4 |
7200.bw |
7200bo |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$13.93766870$ |
$1$ |
|
$1$ |
$73728$ |
$1.919666$ |
$2863288/13286025$ |
$1.17383$ |
$5.21778$ |
$[0, 0, 0, 5325, -13391750]$ |
\(y^2=x^3+5325x-13391750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.3, $\ldots$ |
$[(4307130/91, 8594835250/91)]$ |
14400.j4 |
14400bu4 |
14400.j |
14400bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{18} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.266239$ |
$2863288/13286025$ |
$1.17383$ |
$5.27440$ |
$[0, 0, 0, 21300, 107134000]$ |
\(y^2=x^3+21300x+107134000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.4, $\ldots$ |
$[ ]$ |
14400.fg4 |
14400br4 |
14400.fg |
14400br |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{18} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$2.266239$ |
$2863288/13286025$ |
$1.17383$ |
$5.27440$ |
$[0, 0, 0, 21300, -107134000]$ |
\(y^2=x^3+21300x-107134000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.4, $\ldots$ |
$[ ]$ |
23520.n4 |
23520l2 |
23520.n |
23520l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$2.552663703$ |
$1$ |
|
$3$ |
$110592$ |
$1.538595$ |
$2863288/13286025$ |
$1.17383$ |
$4.14983$ |
$[0, -1, 0, 1160, 1360612]$ |
\(y^2=x^3-x^2+1160x+1360612\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(89, 1470)]$ |
23520.bu4 |
23520bx2 |
23520.bu |
23520bx |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$2.488052745$ |
$1$ |
|
$3$ |
$110592$ |
$1.538595$ |
$2863288/13286025$ |
$1.17383$ |
$4.14983$ |
$[0, 1, 0, 1160, -1360612]$ |
\(y^2=x^3+x^2+1160x-1360612\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(431, 8910)]$ |
47040.i4 |
47040r3 |
47040.i |
47040r |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.885170$ |
$2863288/13286025$ |
$1.17383$ |
$4.26903$ |
$[0, -1, 0, 4639, -10889535]$ |
\(y^2=x^3-x^2+4639x-10889535\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
47040.fk4 |
47040cn3 |
47040.fk |
47040cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$0.573275867$ |
$1$ |
|
$11$ |
$442368$ |
$1.885170$ |
$2863288/13286025$ |
$1.17383$ |
$4.26903$ |
$[0, 1, 0, 4639, 10889535]$ |
\(y^2=x^3+x^2+4639x+10889535\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(-53, 3240)]$ |
58080.k4 |
58080f2 |
58080.k |
58080f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.764587$ |
$2863288/13286025$ |
$1.17383$ |
$4.05508$ |
$[0, -1, 0, 2864, -5282264]$ |
\(y^2=x^3-x^2+2864x-5282264\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
58080.be4 |
58080cb2 |
58080.be |
58080cb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$0.660379883$ |
$1$ |
|
$25$ |
$491520$ |
$1.764587$ |
$2863288/13286025$ |
$1.17383$ |
$4.05508$ |
$[0, 1, 0, 2864, 5282264]$ |
\(y^2=x^3+x^2+2864x+5282264\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(-70, 2178), (74, 2430)]$ |
70560.d4 |
70560bb2 |
70560.d |
70560bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$4.335042647$ |
$1$ |
|
$3$ |
$884736$ |
$2.087902$ |
$2863288/13286025$ |
$1.17383$ |
$4.33190$ |
$[0, 0, 0, 10437, 36746962]$ |
\(y^2=x^3+10437x+36746962\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 56.24.0-8.d.1.3, $\ldots$ |
$[(-126, 5782)]$ |
70560.bt4 |
70560di2 |
70560.bt |
70560di |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.087902$ |
$2863288/13286025$ |
$1.17383$ |
$4.33190$ |
$[0, 0, 0, 10437, -36746962]$ |
\(y^2=x^3+10437x-36746962\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 56.24.0-8.d.1.3, $\ldots$ |
$[ ]$ |
81120.z4 |
81120l2 |
81120.z |
81120l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$1.848116$ |
$2863288/13286025$ |
$1.17383$ |
$4.02389$ |
$[0, -1, 0, 4000, 8716200]$ |
\(y^2=x^3-x^2+4000x+8716200\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
81120.bs4 |
81120cb2 |
81120.bs |
81120cb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.848116$ |
$2863288/13286025$ |
$1.17383$ |
$4.02389$ |
$[0, 1, 0, 4000, -8716200]$ |
\(y^2=x^3+x^2+4000x-8716200\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
116160.cq4 |
116160cl3 |
116160.cq |
116160cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$3.145729883$ |
$1$ |
|
$5$ |
$1966080$ |
$2.111160$ |
$2863288/13286025$ |
$1.17383$ |
$4.17067$ |
$[0, -1, 0, 11455, 42246657]$ |
\(y^2=x^3-x^2+11455x+42246657\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(-216, 5445)]$ |
116160.jo4 |
116160et3 |
116160.jo |
116160et |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$2.111160$ |
$2863288/13286025$ |
$1.17383$ |
$4.17067$ |
$[0, 1, 0, 11455, -42246657]$ |
\(y^2=x^3+x^2+11455x-42246657\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
117600.du4 |
117600y2 |
117600.du |
117600y |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$2654208$ |
$2.343315$ |
$2863288/13286025$ |
$1.17383$ |
$4.40489$ |
$[0, -1, 0, 28992, -170134488]$ |
\(y^2=x^3-x^2+28992x-170134488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 140.12.0.?, $\ldots$ |
$[ ]$ |
117600.fa4 |
117600hg2 |
117600.fa |
117600hg |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$2.343315$ |
$2863288/13286025$ |
$1.17383$ |
$4.40489$ |
$[0, 1, 0, 28992, 170134488]$ |
\(y^2=x^3+x^2+28992x+170134488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 140.12.0.?, $\ldots$ |
$[ ]$ |
138720.l4 |
138720bj3 |
138720.l |
138720bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$1.982246$ |
$2863288/13286025$ |
$1.17383$ |
$3.97750$ |
$[0, -1, 0, 6840, -19496700]$ |
\(y^2=x^3-x^2+6840x-19496700\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 68.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
138720.bp4 |
138720f3 |
138720.bp |
138720f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$1.982246$ |
$2863288/13286025$ |
$1.17383$ |
$3.97750$ |
$[0, 1, 0, 6840, 19496700]$ |
\(y^2=x^3+x^2+6840x+19496700\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 68.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
141120.jn4 |
141120io4 |
141120.jn |
141120io |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{18} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3538944$ |
$2.434475$ |
$2863288/13286025$ |
$1.17383$ |
$4.42941$ |
$[0, 0, 0, 41748, -293975696]$ |
\(y^2=x^3+41748x-293975696\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 56.24.0-8.d.1.4, $\ldots$ |
$[ ]$ |
141120.pl4 |
141120kg3 |
141120.pl |
141120kg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{18} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3538944$ |
$2.434475$ |
$2863288/13286025$ |
$1.17383$ |
$4.42941$ |
$[0, 0, 0, 41748, 293975696]$ |
\(y^2=x^3+41748x+293975696\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 56.24.0-8.d.1.4, $\ldots$ |
$[ ]$ |
162240.c4 |
162240ho4 |
162240.c |
162240ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$3.951058704$ |
$1$ |
|
$5$ |
$2949120$ |
$2.194687$ |
$2863288/13286025$ |
$1.17383$ |
$4.13807$ |
$[0, -1, 0, 15999, -69745599]$ |
\(y^2=x^3-x^2+15999x-69745599\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(1075, 34476)]$ |
162240.gd4 |
162240gq3 |
162240.gd |
162240gq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.194687$ |
$2863288/13286025$ |
$1.17383$ |
$4.13807$ |
$[0, 1, 0, 15999, 69745599]$ |
\(y^2=x^3+x^2+15999x+69745599\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
173280.q4 |
173280bj3 |
173280.q |
173280bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$2.595212258$ |
$1$ |
|
$5$ |
$2654208$ |
$2.037861$ |
$2863288/13286025$ |
$1.17383$ |
$3.95947$ |
$[0, -1, 0, 8544, 27213156]$ |
\(y^2=x^3-x^2+8544x+27213156\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 76.12.0.?, $\ldots$ |
$[(-272, 2166)]$ |
173280.bl4 |
173280bs3 |
173280.bl |
173280bs |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$1.835458407$ |
$1$ |
|
$3$ |
$2654208$ |
$2.037861$ |
$2863288/13286025$ |
$1.17383$ |
$3.95947$ |
$[0, 1, 0, 8544, -27213156]$ |
\(y^2=x^3+x^2+8544x-27213156\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 76.12.0.?, $\ldots$ |
$[(519, 10830)]$ |
174240.cm4 |
174240cg3 |
174240.cm |
174240cg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.313892$ |
$2863288/13286025$ |
$1.17383$ |
$4.23213$ |
$[0, 0, 0, 25773, -142595354]$ |
\(y^2=x^3+25773x-142595354\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
174240.ej4 |
174240o3 |
174240.ej |
174240o |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$6.219377007$ |
$1$ |
|
$1$ |
$3932160$ |
$2.313892$ |
$2863288/13286025$ |
$1.17383$ |
$4.23213$ |
$[0, 0, 0, 25773, 142595354]$ |
\(y^2=x^3+25773x+142595354\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[(3905/2, 265111/2)]$ |
235200.ma4 |
235200ma3 |
235200.ma |
235200ma |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{8} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$840$ |
$48$ |
$0$ |
$24.44892497$ |
$1$ |
|
$7$ |
$10616832$ |
$2.689888$ |
$2863288/13286025$ |
$1.17383$ |
$4.49428$ |
$[0, -1, 0, 115967, 1360959937]$ |
\(y^2=x^3-x^2+115967x+1360959937\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 140.12.0.?, $\ldots$ |
$[(527, 39600), (5488, 408969)]$ |
235200.pz4 |
235200pz4 |
235200.pz |
235200pz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$840$ |
$48$ |
$0$ |
$4.209165516$ |
$1$ |
|
$5$ |
$10616832$ |
$2.689888$ |
$2863288/13286025$ |
$1.17383$ |
$4.49428$ |
$[0, 1, 0, 115967, -1360959937]$ |
\(y^2=x^3+x^2+115967x-1360959937\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 140.12.0.?, $\ldots$ |
$[(1298, 31275)]$ |
243360.c4 |
243360c3 |
243360.c |
243360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$8.021881093$ |
$1$ |
|
$11$ |
$5898240$ |
$2.397423$ |
$2863288/13286025$ |
$1.17383$ |
$4.19894$ |
$[0, 0, 0, 35997, 235373398]$ |
\(y^2=x^3+35997x+235373398\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 104.24.0.?, $\ldots$ |
$[(-91, 15210), (989, 35190)]$ |
243360.cq4 |
243360cq3 |
243360.cq |
243360cq |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$23.71921628$ |
$1$ |
|
$1$ |
$5898240$ |
$2.397423$ |
$2863288/13286025$ |
$1.17383$ |
$4.19894$ |
$[0, 0, 0, 35997, -235373398]$ |
\(y^2=x^3+35997x-235373398\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 104.24.0.?, $\ldots$ |
$[(222083984057/9686, 104064729575129323/9686)]$ |
253920.bl4 |
253920bl3 |
253920.bl |
253920bl |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$4866048$ |
$2.133389$ |
$2863288/13286025$ |
$1.17383$ |
$3.93001$ |
$[0, -1, 0, 12520, -48281928]$ |
\(y^2=x^3-x^2+12520x-48281928\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
253920.cl4 |
253920cl3 |
253920.cl |
253920cl |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4866048$ |
$2.133389$ |
$2863288/13286025$ |
$1.17383$ |
$3.93001$ |
$[0, 1, 0, 12520, 48281928]$ |
\(y^2=x^3+x^2+12520x+48281928\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
277440.ch4 |
277440ch3 |
277440.ch |
277440ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$2.438165222$ |
$1$ |
|
$3$ |
$7864320$ |
$2.328819$ |
$2863288/13286025$ |
$1.17383$ |
$4.08935$ |
$[0, -1, 0, 27359, 155946241]$ |
\(y^2=x^3-x^2+27359x+155946241\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 68.12.0-4.c.1.2, $\ldots$ |
$[(-249, 11560)]$ |
277440.ex4 |
277440ex4 |
277440.ex |
277440ex |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$1.287051211$ |
$1$ |
|
$25$ |
$7864320$ |
$2.328819$ |
$2863288/13286025$ |
$1.17383$ |
$4.08935$ |
$[0, 1, 0, 27359, -155946241]$ |
\(y^2=x^3+x^2+27359x-155946241\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(827, 20808), (674, 13005)]$ |
290400.dm4 |
290400dm3 |
290400.dm |
290400dm |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11796480$ |
$2.569305$ |
$2863288/13286025$ |
$1.17383$ |
$4.30393$ |
$[0, -1, 0, 71592, 660139812]$ |
\(y^2=x^3-x^2+71592x+660139812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 220.12.0.?, $\ldots$ |
$[ ]$ |
290400.ec4 |
290400ec3 |
290400.ec |
290400ec |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$2.569305$ |
$2863288/13286025$ |
$1.17383$ |
$4.30393$ |
$[0, 1, 0, 71592, -660139812]$ |
\(y^2=x^3+x^2+71592x-660139812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 220.12.0.?, $\ldots$ |
$[ ]$ |