| 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.a1 |
480e3 |
480.a |
480e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$384$ |
$0.565640$ |
$1261112198464/675$ |
$1.05532$ |
$5.86039$ |
$[0, -1, 0, -3601, 84385]$ |
\(y^2=x^3-x^2-3601x+84385\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 12.24.0-12.h.1.2, 24.48.0-24.bk.1.4 |
$[]$ |
| 480.a2 |
480e2 |
480.a |
480e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.565640$ |
$26410345352/10546875$ |
$1.03973$ |
$4.89738$ |
$[0, -1, 0, -496, -2204]$ |
\(y^2=x^3-x^2-496x-2204\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 12.12.0-4.c.1.2, 24.48.0-24.bi.1.3 |
$[]$ |
| 480.a3 |
480e1 |
480.a |
480e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$192$ |
$0.219067$ |
$20034997696/455625$ |
$1.03014$ |
$4.51581$ |
$[0, -1, 0, -226, 1360]$ |
\(y^2=x^3-x^2-226x+1360\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 12.24.0-12.a.1.1, 24.48.0-24.f.1.3 |
$[]$ |
| 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.b1 |
480a2 |
480.b |
480a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{12} \cdot 3 \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$2.071439044$ |
$1$ |
|
$3$ |
$64$ |
$-0.163268$ |
$14526784/15$ |
$1.00337$ |
$4.01849$ |
$[0, -1, 0, -81, -255]$ |
\(y^2=x^3-x^2-81x-255\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, $\ldots$ |
$[(11, 8)]$ |
| 480.b2 |
480a3 |
480.b |
480a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3^{4} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$0.517859761$ |
$1$ |
|
$7$ |
$64$ |
$-0.163268$ |
$38614472/405$ |
$1.12730$ |
$3.84002$ |
$[0, -1, 0, -56, 180]$ |
\(y^2=x^3-x^2-56x+180\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 24.24.0-24.bb.1.16, $\ldots$ |
$[(4, 2)]$ |
| 480.b3 |
480a1 |
480.b |
480a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1.035719522$ |
$1$ |
|
$11$ |
$32$ |
$-0.509842$ |
$438976/225$ |
$1.06534$ |
$2.77805$ |
$[0, -1, 0, -6, 0]$ |
\(y^2=x^3-x^2-6x\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.a.1.3, $\ldots$ |
$[(-1, 2)]$ |
| 480.b4 |
480a4 |
480.b |
480a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( - 2^{9} \cdot 3 \cdot 5^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$2.071439044$ |
$1$ |
|
$3$ |
$64$ |
$-0.163268$ |
$2863288/1875$ |
$0.98987$ |
$3.41862$ |
$[0, -1, 0, 24, -24]$ |
\(y^2=x^3-x^2+24x-24\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[(5, 14)]$ |
| 480.c1 |
480f3 |
480.c |
480f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3^{2} \cdot 5 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.47 |
2B |
$240$ |
$192$ |
$3$ |
$2.065113879$ |
$1$ |
|
$7$ |
$128$ |
$0.092319$ |
$23937672968/45$ |
$1.01090$ |
$4.88145$ |
$[0, -1, 0, -480, 4212]$ |
\(y^2=x^3-x^2-480x+4212\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 40.48.0-40.by.1.5, 48.48.0-48.j.1.8, $\ldots$ |
$[(17, 26)]$ |
| 480.c2 |
480f2 |
480.c |
480f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3^{8} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.57 |
2B |
$240$ |
$192$ |
$3$ |
$2.065113879$ |
$1$ |
|
$3$ |
$128$ |
$0.092319$ |
$111980168/32805$ |
$0.98174$ |
$4.01247$ |
$[0, -1, 0, -80, -168]$ |
\(y^2=x^3-x^2-80x-168\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 40.48.0-40.by.1.7, 48.48.0-48.j.1.16, $\ldots$ |
$[(-3, 6)]$ |
| 480.c3 |
480f1 |
480.c |
480f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.7 |
2Cs |
$240$ |
$192$ |
$3$ |
$1.032556939$ |
$1$ |
|
$9$ |
$64$ |
$-0.254254$ |
$48228544/2025$ |
$1.02099$ |
$3.53921$ |
$[0, -1, 0, -30, 72]$ |
\(y^2=x^3-x^2-30x+72\) |
2.6.0.a.1, 4.24.0-4.a.1.1, 24.48.0-24.j.1.2, 40.48.0-40.a.1.1, 80.96.0.?, $\ldots$ |
$[(2, 4)]$ |
| 480.c4 |
480f4 |
480.c |
480f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.11 |
2B |
$240$ |
$192$ |
$3$ |
$0.516278469$ |
$1$ |
|
$17$ |
$128$ |
$0.092319$ |
$85184/5625$ |
$1.15009$ |
$3.95198$ |
$[0, -1, 0, 15, 225]$ |
\(y^2=x^3-x^2+15x+225\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 24.48.0-24.z.1.4, 40.48.0-40.bf.1.1, 80.96.0.?, $\ldots$ |
$[(0, 15)]$ |
| 480.d1 |
480b2 |
480.d |
480b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3 \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$64$ |
$-0.124197$ |
$890277128/15$ |
$0.98337$ |
$4.34828$ |
$[0, -1, 0, -160, -728]$ |
\(y^2=x^3-x^2-160x-728\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 24.24.0-24.y.1.14, $\ldots$ |
$[]$ |
| 480.d2 |
480b3 |
480.d |
480b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3 \cdot 5^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$64$ |
$-0.124197$ |
$14172488/1875$ |
$1.11851$ |
$3.67767$ |
$[0, -1, 0, -40, 100]$ |
\(y^2=x^3-x^2-40x+100\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 40.24.0-40.ba.1.4, 120.48.0.? |
$[]$ |
| 480.d3 |
480b1 |
480.d |
480b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$-0.470771$ |
$1906624/225$ |
$0.92155$ |
$3.01593$ |
$[0, -1, 0, -10, -8]$ |
\(y^2=x^3-x^2-10x-8\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 24.24.0-24.b.1.1, 120.48.0.? |
$[]$ |
| 480.d4 |
480b4 |
480.d |
480b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.124197$ |
$85184/405$ |
$1.20074$ |
$3.50621$ |
$[0, -1, 0, 15, -63]$ |
\(y^2=x^3-x^2+15x-63\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 24.24.0-24.y.1.12, 120.48.0.? |
$[]$ |
| 480.e1 |
480c3 |
480.e |
480c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{12} \cdot 3 \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.163268$ |
$14526784/15$ |
$1.00337$ |
$4.01849$ |
$[0, 1, 0, -81, 255]$ |
\(y^2=x^3+x^2-81x+255\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 480.e2 |
480c2 |
480.e |
480c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3^{4} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.163268$ |
$38614472/405$ |
$1.12730$ |
$3.84002$ |
$[0, 1, 0, -56, -180]$ |
\(y^2=x^3+x^2-56x-180\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 24.24.0-24.bb.1.8, $\ldots$ |
$[]$ |
| 480.e3 |
480c1 |
480.e |
480c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$-0.509842$ |
$438976/225$ |
$1.06534$ |
$2.77805$ |
$[0, 1, 0, -6, 0]$ |
\(y^2=x^3+x^2-6x\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.a.1.2, $\ldots$ |
$[]$ |
| 480.e4 |
480c4 |
480.e |
480c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( - 2^{9} \cdot 3 \cdot 5^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.163268$ |
$2863288/1875$ |
$0.98987$ |
$3.41862$ |
$[0, 1, 0, 24, 24]$ |
\(y^2=x^3+x^2+24x+24\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[]$ |
| 480.f1 |
480d2 |
480.f |
480d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.565640$ |
$1261112198464/675$ |
$1.05532$ |
$5.86039$ |
$[0, 1, 0, -3601, -84385]$ |
\(y^2=x^3+x^2-3601x-84385\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 12.24.0-12.h.1.1, 24.48.0-24.bk.1.1 |
$[]$ |
| 480.f2 |
480d3 |
480.f |
480d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.565640$ |
$26410345352/10546875$ |
$1.03973$ |
$4.89738$ |
$[0, 1, 0, -496, 2204]$ |
\(y^2=x^3+x^2-496x+2204\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 12.12.0-4.c.1.1, 24.48.0-24.bi.1.4 |
$[]$ |
| 480.f3 |
480d1 |
480.f |
480d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$192$ |
$0.219067$ |
$20034997696/455625$ |
$1.03014$ |
$4.51581$ |
$[0, 1, 0, -226, -1360]$ |
\(y^2=x^3+x^2-226x-1360\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 12.24.0-12.a.1.2, 24.48.0-24.f.1.2 |
$[]$ |
| 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 |
$[]$ |
| 480.g1 |
480g3 |
480.g |
480g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3 \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.124197$ |
$890277128/15$ |
$0.98337$ |
$4.34828$ |
$[0, 1, 0, -160, 728]$ |
\(y^2=x^3+x^2-160x+728\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 24.24.0-24.y.1.6, $\ldots$ |
$[]$ |
| 480.g2 |
480g2 |
480.g |
480g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3 \cdot 5^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.124197$ |
$14172488/1875$ |
$1.11851$ |
$3.67767$ |
$[0, 1, 0, -40, -100]$ |
\(y^2=x^3+x^2-40x-100\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 40.24.0-40.ba.1.12, 120.48.0.? |
$[]$ |
| 480.g3 |
480g1 |
480.g |
480g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$-0.470771$ |
$1906624/225$ |
$0.92155$ |
$3.01593$ |
$[0, 1, 0, -10, 8]$ |
\(y^2=x^3+x^2-10x+8\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 24.24.0-24.b.1.4, 120.48.0.? |
$[]$ |
| 480.g4 |
480g4 |
480.g |
480g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$64$ |
$-0.124197$ |
$85184/405$ |
$1.20074$ |
$3.50621$ |
$[0, 1, 0, 15, 63]$ |
\(y^2=x^3+x^2+15x+63\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 24.24.0-24.y.1.4, 120.48.0.? |
$[]$ |
| 480.h1 |
480h2 |
480.h |
480h |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3^{2} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.57 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$128$ |
$0.092319$ |
$23937672968/45$ |
$1.01090$ |
$4.88145$ |
$[0, 1, 0, -480, -4212]$ |
\(y^2=x^3+x^2-480x-4212\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 40.48.0-40.by.1.7, 48.48.0-48.j.1.16, $\ldots$ |
$[]$ |
| 480.h2 |
480h3 |
480.h |
480h |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{9} \cdot 3^{8} \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.47 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$0.092319$ |
$111980168/32805$ |
$0.98174$ |
$4.01247$ |
$[0, 1, 0, -80, 168]$ |
\(y^2=x^3+x^2-80x+168\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 40.48.0-40.by.1.5, 48.48.0-48.j.1.8, $\ldots$ |
$[]$ |
| 480.h3 |
480h1 |
480.h |
480h |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.7 |
2Cs |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$64$ |
$-0.254254$ |
$48228544/2025$ |
$1.02099$ |
$3.53921$ |
$[0, 1, 0, -30, -72]$ |
\(y^2=x^3+x^2-30x-72\) |
2.6.0.a.1, 4.24.0-4.a.1.1, 24.48.0-24.j.1.2, 40.48.0-40.a.1.1, 80.96.0.?, $\ldots$ |
$[]$ |
| 480.h4 |
480h4 |
480.h |
480h |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.11 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$0.092319$ |
$85184/5625$ |
$1.15009$ |
$3.95198$ |
$[0, 1, 0, 15, -225]$ |
\(y^2=x^3+x^2+15x-225\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 24.48.0-24.z.1.4, 40.48.0-40.bf.1.1, 80.96.0.?, $\ldots$ |
$[]$ |
