| 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 |
| 4800.a1 |
4800bq1 |
4800.a |
4800bq |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.508671$ |
$-8780800/2187$ |
$1.06525$ |
$4.97199$ |
$[0, -1, 0, -23333, -1632963]$ |
\(y^2=x^3-x^2-23333x-1632963\) |
6.2.0.a.1 |
$[]$ |
| 4800.b1 |
4800p1 |
4800.b |
4800p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5376$ |
$0.703952$ |
$-8780800/2187$ |
$1.06525$ |
$3.83275$ |
$[0, -1, 0, -933, 13437]$ |
\(y^2=x^3-x^2-933x+13437\) |
6.2.0.a.1 |
$[]$ |
| 4800.c1 |
4800ca2 |
4800.c |
4800ca |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$0.721610669$ |
$1$ |
|
$7$ |
$3072$ |
$0.548090$ |
$2156689088/81$ |
$1.10723$ |
$4.08641$ |
$[0, -1, 0, -2153, 39177]$ |
\(y^2=x^3-x^2-2153x+39177\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bc.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ |
$[(23, 36)]$ |
| 4800.c2 |
4800ca1 |
4800.c |
4800ca |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$1.443221338$ |
$1$ |
|
$5$ |
$1536$ |
$0.201517$ |
$-29218112/6561$ |
$1.09201$ |
$3.12697$ |
$[0, -1, 0, -128, 702]$ |
\(y^2=x^3-x^2-128x+702\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bp.1, 20.12.0.l.1, 40.48.1.jp.1, $\ldots$ |
$[(7, 10)]$ |
| 4800.d1 |
4800bp8 |
4800.d |
4800bp |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{21} \cdot 3^{4} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$2.408607$ |
$16778985534208729/81000$ |
$1.08181$ |
$7.01859$ |
$[0, -1, 0, -8533633, 9597935137]$ |
\(y^2=x^3-x^2-8533633x+9597935137\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ |
$[]$ |
| 4800.d2 |
4800bp7 |
4800.d |
4800bp |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{21} \cdot 3 \cdot 5^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.12, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$2.408607$ |
$10316097499609/5859375000$ |
$1.13600$ |
$6.14626$ |
$[0, -1, 0, -725633, 32623137]$ |
\(y^2=x^3-x^2-725633x+32623137\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 4800.d3 |
4800bp6 |
4800.d |
4800bp |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$55296$ |
$2.062031$ |
$4102915888729/9000000$ |
$1.05221$ |
$6.03749$ |
$[0, -1, 0, -533633, 149935137]$ |
\(y^2=x^3-x^2-533633x+149935137\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.96.0-12.a.1.4, $\ldots$ |
$[]$ |
| 4800.d4 |
4800bp4 |
4800.d |
4800bp |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{19} \cdot 3^{3} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.12, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.859299$ |
$2656166199049/33750$ |
$1.05017$ |
$5.98619$ |
$[0, -1, 0, -461633, -120568863]$ |
\(y^2=x^3-x^2-461633x-120568863\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 4800.d5 |
4800bp5 |
4800.d |
4800bp |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{19} \cdot 3^{12} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.859299$ |
$35578826569/5314410$ |
$1.03393$ |
$5.47738$ |
$[0, -1, 0, -109633, 12071137]$ |
\(y^2=x^3-x^2-109633x+12071137\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ |
$[]$ |
| 4800.d6 |
4800bp2 |
4800.d |
4800bp |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$1.512726$ |
$702595369/72900$ |
$1.00457$ |
$5.01436$ |
$[0, -1, 0, -29633, -1768863]$ |
\(y^2=x^3-x^2-29633x-1768863\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.96.0-12.a.2.8, $\ldots$ |
$[]$ |
| 4800.d7 |
4800bp3 |
4800.d |
4800bp |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{30} \cdot 3 \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.715458$ |
$-273359449/1536000$ |
$1.04920$ |
$5.18273$ |
$[0, -1, 0, -21633, 4015137]$ |
\(y^2=x^3-x^2-21633x+4015137\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ |
$[]$ |
| 4800.d8 |
4800bp1 |
4800.d |
4800bp |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{22} \cdot 3^{3} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.166153$ |
$357911/2160$ |
$0.99689$ |
$4.38455$ |
$[0, -1, 0, 2367, -136863]$ |
\(y^2=x^3-x^2+2367x-136863\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ |
$[]$ |
| 4800.e1 |
4800bz2 |
4800.e |
4800bz |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$4.534619676$ |
$1$ |
|
$3$ |
$15360$ |
$1.352810$ |
$2156689088/81$ |
$1.10723$ |
$5.22565$ |
$[0, -1, 0, -53833, -4789463]$ |
\(y^2=x^3-x^2-53833x-4789463\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bc.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ |
$[(2992, 163125)]$ |
| 4800.e2 |
4800bz1 |
4800.e |
4800bz |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$9.069239353$ |
$1$ |
|
$1$ |
$7680$ |
$1.006235$ |
$-29218112/6561$ |
$1.09201$ |
$4.26621$ |
$[0, -1, 0, -3208, -81338]$ |
\(y^2=x^3-x^2-3208x-81338\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bp.1, 20.12.0.l.1, 40.48.1.jp.1, $\ldots$ |
$[(74821/10, 20391669/10)]$ |
| 4800.f1 |
4800h3 |
4800.f |
4800h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$2.297508315$ |
$1$ |
|
$5$ |
$4096$ |
$0.725072$ |
$7301384/3$ |
$1.03749$ |
$4.23028$ |
$[0, -1, 0, -3233, -69663]$ |
\(y^2=x^3-x^2-3233x-69663\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 24.24.0.bi.1, $\ldots$ |
$[(-32, 1)]$ |
| 4800.f2 |
4800h2 |
4800.f |
4800h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$120$ |
$48$ |
$0$ |
$1.148754157$ |
$1$ |
|
$13$ |
$2048$ |
$0.378499$ |
$21952/9$ |
$1.09175$ |
$3.29988$ |
$[0, -1, 0, -233, -663]$ |
\(y^2=x^3-x^2-233x-663\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$ |
$[(-8, 25)]$ |
| 4800.f3 |
4800h1 |
4800.f |
4800h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$2.297508315$ |
$1$ |
|
$3$ |
$1024$ |
$0.031925$ |
$140608/3$ |
$1.02705$ |
$3.02833$ |
$[0, -1, 0, -108, 462]$ |
\(y^2=x^3-x^2-108x+462\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(11, 22)]$ |
| 4800.f4 |
4800h4 |
4800.f |
4800h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$2.297508315$ |
$1$ |
|
$5$ |
$4096$ |
$0.725072$ |
$97336/81$ |
$1.05989$ |
$3.72090$ |
$[0, -1, 0, 767, -5663]$ |
\(y^2=x^3-x^2+767x-5663\) |
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, $\ldots$ |
$[(32, 225)]$ |
| 4800.g1 |
4800bx1 |
4800.g |
4800bx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{11} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.516361456$ |
$1$ |
|
$2$ |
$10560$ |
$1.106968$ |
$-5624320/177147$ |
$1.12683$ |
$4.31695$ |
$[0, -1, 0, -1083, 102537]$ |
\(y^2=x^3-x^2-1083x+102537\) |
6.2.0.a.1 |
$[(56, 463)]$ |
| 4800.h1 |
4800n1 |
4800.h |
4800n |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{5} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$60$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$4800$ |
$0.823622$ |
$-425920000/243$ |
$1.15063$ |
$4.35388$ |
$[0, -1, 0, -4583, -117963]$ |
\(y^2=x^3-x^2-4583x-117963\) |
5.15.0.a.1, 6.2.0.a.1, 20.30.0.b.1, 30.30.2.b.1, 60.60.3.j.1 |
$[]$ |
| 4800.i1 |
4800f1 |
4800.i |
4800f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$60$ |
$60$ |
$3$ |
$1.004232735$ |
$1$ |
|
$2$ |
$960$ |
$0.018903$ |
$-425920000/243$ |
$1.15063$ |
$3.21464$ |
$[0, -1, 0, -183, 1017]$ |
\(y^2=x^3-x^2-183x+1017\) |
5.15.0.a.1, 6.2.0.a.1, 20.30.0.b.1, 30.30.2.b.1, 60.60.3.j.1 |
$[(8, 1)]$ |
| 4800.j1 |
4800bm1 |
4800.j |
4800bm |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{11} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2112$ |
$0.302250$ |
$-5624320/177147$ |
$1.12683$ |
$3.17771$ |
$[0, -1, 0, -43, -803]$ |
\(y^2=x^3-x^2-43x-803\) |
6.2.0.a.1 |
$[]$ |
| 4800.k1 |
4800k2 |
4800.k |
4800k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{17} \cdot 3^{6} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.439493$ |
$2060602/729$ |
$1.01344$ |
$4.81420$ |
$[0, -1, 0, -16833, -518463]$ |
\(y^2=x^3-x^2-16833x-518463\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
| 4800.k2 |
4800k1 |
4800.k |
4800k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.092920$ |
$27436/27$ |
$0.95753$ |
$4.22290$ |
$[0, -1, 0, 3167, -58463]$ |
\(y^2=x^3-x^2+3167x-58463\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[]$ |
| 4800.l1 |
4800l4 |
4800.l |
4800l |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{23} \cdot 3^{10} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.505743$ |
$502270291349/1889568$ |
$1.07575$ |
$5.22008$ |
$[0, -1, 0, -52993, 4697857]$ |
\(y^2=x^3-x^2-52993x+4697857\) |
2.3.0.a.1, 5.12.0.a.1, 10.72.0-10.a.2.2, 24.6.0.j.1, 40.144.1-40.bf.1.11, $\ldots$ |
$[]$ |
| 4800.l2 |
4800l2 |
4800.l |
4800l |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.701023$ |
$131872229/18$ |
$1.12852$ |
$4.24737$ |
$[0, -1, 0, -3393, -74943]$ |
\(y^2=x^3-x^2-3393x-74943\) |
2.3.0.a.1, 5.12.0.a.2, 10.72.0-10.a.1.4, 24.6.0.j.1, 40.144.1-40.bf.2.7, $\ldots$ |
$[]$ |
| 4800.l3 |
4800l3 |
4800.l |
4800l |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{28} \cdot 3^{5} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.159168$ |
$-19465109/248832$ |
$1.09754$ |
$4.39203$ |
$[0, -1, 0, -1793, 141057]$ |
\(y^2=x^3-x^2-1793x+141057\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.9, 24.6.0.j.1, $\ldots$ |
$[]$ |
| 4800.l4 |
4800l1 |
4800.l |
4800l |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.354450$ |
$-24389/12$ |
$1.10339$ |
$3.30591$ |
$[0, -1, 0, -193, -1343]$ |
\(y^2=x^3-x^2-193x-1343\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.8, 24.6.0.j.1, $\ldots$ |
$[]$ |
| 4800.m1 |
4800bv4 |
4800.m |
4800bv |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{23} \cdot 3^{10} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$120$ |
$288$ |
$5$ |
$5.290117230$ |
$1$ |
|
$3$ |
$76800$ |
$2.310463$ |
$502270291349/1889568$ |
$1.07575$ |
$6.35932$ |
$[0, -1, 0, -1324833, -584582463]$ |
\(y^2=x^3-x^2-1324833x-584582463\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.5, 24.6.0.j.1, $\ldots$ |
$[(58173, 14027904)]$ |
| 4800.m2 |
4800bv2 |
4800.m |
4800bv |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$120$ |
$288$ |
$5$ |
$1.058023446$ |
$1$ |
|
$7$ |
$15360$ |
$1.505743$ |
$131872229/18$ |
$1.12852$ |
$5.38661$ |
$[0, -1, 0, -84833, 9537537]$ |
\(y^2=x^3-x^2-84833x+9537537\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.3, 24.6.0.j.1, $\ldots$ |
$[(173, 96)]$ |
| 4800.m3 |
4800bv3 |
4800.m |
4800bv |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{28} \cdot 3^{5} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$120$ |
$288$ |
$5$ |
$10.58023446$ |
$1$ |
|
$1$ |
$38400$ |
$1.963888$ |
$-19465109/248832$ |
$1.09754$ |
$5.53127$ |
$[0, -1, 0, -44833, -17542463]$ |
\(y^2=x^3-x^2-44833x-17542463\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.4, 24.6.0.j.1, $\ldots$ |
$[(1759701/11, 2333974528/11)]$ |
| 4800.m4 |
4800bv1 |
4800.m |
4800bv |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$120$ |
$288$ |
$5$ |
$2.116046892$ |
$1$ |
|
$5$ |
$7680$ |
$1.159168$ |
$-24389/12$ |
$1.10339$ |
$4.44515$ |
$[0, -1, 0, -4833, 177537]$ |
\(y^2=x^3-x^2-4833x+177537\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.5, 24.6.0.j.1, $\ldots$ |
$[(-19, 512)]$ |
| 4800.n1 |
4800bu2 |
4800.n |
4800bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{17} \cdot 3^{6} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.664938096$ |
$1$ |
|
$7$ |
$3072$ |
$0.634774$ |
$2060602/729$ |
$1.01344$ |
$3.67496$ |
$[0, -1, 0, -673, 4417]$ |
\(y^2=x^3-x^2-673x+4417\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[(-3, 80)]$ |
| 4800.n2 |
4800bu1 |
4800.n |
4800bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1.329876192$ |
$1$ |
|
$5$ |
$1536$ |
$0.288201$ |
$27436/27$ |
$0.95753$ |
$3.08366$ |
$[0, -1, 0, 127, 417]$ |
\(y^2=x^3-x^2+127x+417\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[(7, 40)]$ |
| 4800.o1 |
4800j2 |
4800.o |
4800j |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$72$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$1.406509$ |
$-30866268160/3$ |
$1.11642$ |
$5.51327$ |
$[0, -1, 0, -121333, -16226963]$ |
\(y^2=x^3-x^2-121333x-16226963\) |
3.4.0.a.1, 6.8.0.b.1, 18.24.0.c.1, 24.16.0-6.b.1.1, 72.48.0.? |
$[]$ |
| 4800.o2 |
4800j1 |
4800.o |
4800j |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.857203$ |
$-40960/27$ |
$1.02991$ |
$4.00646$ |
$[0, -1, 0, -1333, -26963]$ |
\(y^2=x^3-x^2-1333x-26963\) |
3.4.0.a.1, 6.24.0.c.1, 24.48.0-6.c.1.3 |
$[]$ |
| 4800.p1 |
4800bk2 |
4800.p |
4800bk |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.601790$ |
$-30866268160/3$ |
$1.11642$ |
$4.37403$ |
$[0, -1, 0, -4853, 131757]$ |
\(y^2=x^3-x^2-4853x+131757\) |
3.4.0.a.1, 6.8.0.b.1, 18.24.0.c.1, 120.16.0.?, 360.48.0.? |
$[]$ |
| 4800.p2 |
4800bk1 |
4800.p |
4800bk |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.052484$ |
$-40960/27$ |
$1.02991$ |
$2.86722$ |
$[0, -1, 0, -53, 237]$ |
\(y^2=x^3-x^2-53x+237\) |
3.4.0.a.1, 6.24.0.c.1, 120.48.0.? |
$[]$ |
| 4800.q1 |
4800c5 |
4800.q |
4800c |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$240$ |
$192$ |
$1$ |
$4.499646092$ |
$1$ |
|
$3$ |
$8192$ |
$1.199087$ |
$3065617154/9$ |
$1.21059$ |
$5.10639$ |
$[0, -1, 0, -38433, -2887263]$ |
\(y^2=x^3-x^2-38433x-2887263\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(787, 21300)]$ |
| 4800.q2 |
4800c4 |
4800.q |
4800c |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{16} \cdot 3 \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$240$ |
$192$ |
$1$ |
$2.249823046$ |
$1$ |
|
$5$ |
$4096$ |
$0.852514$ |
$28756228/3$ |
$1.05617$ |
$4.47377$ |
$[0, -1, 0, -6433, 200737]$ |
\(y^2=x^3-x^2-6433x+200737\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[(51, 52)]$ |
| 4800.q3 |
4800c3 |
4800.q |
4800c |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$2.249823046$ |
$1$ |
|
$9$ |
$4096$ |
$0.852514$ |
$1556068/81$ |
$1.03212$ |
$4.12967$ |
$[0, -1, 0, -2433, -43263]$ |
\(y^2=x^3-x^2-2433x-43263\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 20.24.0-4.b.1.2, 24.96.1.bl.2, $\ldots$ |
$[(-24, 27)]$ |
| 4800.q4 |
4800c2 |
4800.q |
4800c |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$120$ |
$192$ |
$1$ |
$1.124911523$ |
$1$ |
|
$11$ |
$2048$ |
$0.505940$ |
$35152/9$ |
$0.97255$ |
$3.51897$ |
$[0, -1, 0, -433, 2737]$ |
\(y^2=x^3-x^2-433x+2737\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[(1, 48)]$ |
| 4800.q5 |
4800c1 |
4800.q |
4800c |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$240$ |
$192$ |
$1$ |
$2.249823046$ |
$1$ |
|
$3$ |
$1024$ |
$0.159367$ |
$2048/3$ |
$1.17572$ |
$2.90676$ |
$[0, -1, 0, 67, 237]$ |
\(y^2=x^3-x^2+67x+237\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[(13, 56)]$ |
| 4800.q6 |
4800c6 |
4800.q |
4800c |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{17} \cdot 3^{8} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$240$ |
$192$ |
$1$ |
$4.499646092$ |
$1$ |
|
$3$ |
$8192$ |
$1.199087$ |
$207646/6561$ |
$1.15980$ |
$4.44356$ |
$[0, -1, 0, 1567, -175263]$ |
\(y^2=x^3-x^2+1567x-175263\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 20.12.0-4.c.1.2, 40.96.0-8.m.1.1, $\ldots$ |
$[(776, 21627)]$ |
| 4800.r1 |
4800bi5 |
4800.r |
4800bi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{17} \cdot 3 \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.177 |
2B |
$240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.631292$ |
$1770025017602/75$ |
$1.12837$ |
$5.85653$ |
$[0, -1, 0, -320033, 69791937]$ |
\(y^2=x^3-x^2-320033x+69791937\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.f.1.10, 24.48.0-24.bj.1.9, $\ldots$ |
$[]$ |
| 4800.r2 |
4800bi3 |
4800.r |
4800bi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.107 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.284718$ |
$868327204/5625$ |
$1.10029$ |
$4.87580$ |
$[0, -1, 0, -20033, 1091937]$ |
\(y^2=x^3-x^2-20033x+1091937\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.11, 24.96.0-24.k.1.13, 40.96.0-40.v.1.8, $\ldots$ |
$[]$ |
| 4800.r3 |
4800bi6 |
4800.r |
4800bi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{17} \cdot 3 \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.152 |
2B |
$240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.631292$ |
$-27995042/1171875$ |
$1.07729$ |
$5.05909$ |
$[0, -1, 0, -8033, 2375937]$ |
\(y^2=x^3-x^2-8033x+2375937\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 16.48.0-8.ba.1.3, 24.48.0.bo.1, $\ldots$ |
$[]$ |
| 4800.r4 |
4800bi2 |
4800.r |
4800bi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.117 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$0.938145$ |
$3631696/2025$ |
$1.02576$ |
$4.06611$ |
$[0, -1, 0, -2033, -6063]$ |
\(y^2=x^3-x^2-2033x-6063\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.12, 20.24.0.c.1, 24.96.0-24.p.2.12, $\ldots$ |
$[]$ |
| 4800.r5 |
4800bi1 |
4800.r |
4800bi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.190 |
2B |
$240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.591571$ |
$24918016/45$ |
$0.99237$ |
$3.96623$ |
$[0, -1, 0, -1533, -22563]$ |
\(y^2=x^3-x^2-1533x-22563\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 10.6.0.a.1, 16.48.0-16.f.2.13, $\ldots$ |
$[]$ |
| 4800.r6 |
4800bi4 |
4800.r |
4800bi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{16} \cdot 3^{8} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.229 |
2B |
$240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.284718$ |
$54607676/32805$ |
$1.06524$ |
$4.54943$ |
$[0, -1, 0, 7967, -56063]$ |
\(y^2=x^3-x^2+7967x-56063\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.4, 20.12.0.h.1, 40.96.0-40.bm.2.8, $\ldots$ |
$[]$ |
