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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
3600.a1 |
3600q1 |
3600.a |
3600q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.711403$ |
$-8780800/2187$ |
$[0, 0, 0, -52500, 5537500]$ |
\(y^2=x^3-52500x+5537500\) |
3600.b1 |
3600be1 |
3600.b |
3600be |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
$1.007478452$ |
$1$ |
|
$2$ |
$2880$ |
$0.719642$ |
$0$ |
$[0, 0, 0, 0, -10000]$ |
\(y^2=x^3-10000\) |
3600.b2 |
3600be2 |
3600.b |
3600be |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
$3.022435358$ |
$1$ |
|
$2$ |
$8640$ |
$1.268948$ |
$0$ |
$[0, 0, 0, 0, 270000]$ |
\(y^2=x^3+270000\) |
3600.c1 |
3600j2 |
3600.c |
3600j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$1$ |
$1$ |
|
$1$ |
$5120$ |
$0.978788$ |
$1000188$ |
$[0, 0, 0, -7875, -268750]$ |
\(y^2=x^3-7875x-268750\) |
3600.c2 |
3600j1 |
3600.c |
3600j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$1$ |
$1$ |
|
$1$ |
$2560$ |
$0.632215$ |
$-432$ |
$[0, 0, 0, -375, -6250]$ |
\(y^2=x^3-375x-6250\) |
3600.d1 |
3600br1 |
3600.d |
3600br |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.918773$ |
$131072/9$ |
$[0, 0, 0, -3000, 59375]$ |
\(y^2=x^3-3000x+59375\) |
3600.d2 |
3600br2 |
3600.d |
3600br |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.265347$ |
$5488/81$ |
$[0, 0, 0, 2625, 256250]$ |
\(y^2=x^3+2625x+256250\) |
3600.e1 |
3600bb4 |
3600.e |
3600bb |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
$1$ |
$1$ |
|
$1$ |
$3456$ |
$0.885183$ |
$54000$ |
$[0, 0, 0, -3375, 74250]$ |
\(y^2=x^3-3375x+74250\) |
3600.e2 |
3600bb2 |
3600.e |
3600bb |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.335877$ |
$54000$ |
$[0, 0, 0, -375, -2750]$ |
\(y^2=x^3-375x-2750\) |
3600.e3 |
3600bb1 |
3600.e |
3600bb |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.83 |
2B |
$1$ |
$1$ |
|
$1$ |
$576$ |
$-0.010696$ |
$0$ |
$[0, 0, 0, 0, -125]$ |
\(y^2=x^3-125\) |
3600.e4 |
3600bb3 |
3600.e |
3600bb |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.83 |
2B |
$1$ |
$1$ |
|
$1$ |
$1728$ |
$0.538610$ |
$0$ |
$[0, 0, 0, 0, 3375]$ |
\(y^2=x^3+3375\) |
3600.f1 |
3600bk7 |
3600.f |
3600bk |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$11.06231031$ |
$1$ |
|
$1$ |
$110592$ |
$2.611340$ |
$16778985534208729/81000$ |
$[0, 0, 0, -19200675, -32383430750]$ |
\(y^2=x^3-19200675x-32383430750\) |
3600.f2 |
3600bk8 |
3600.f |
3600bk |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{18} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$2.765577577$ |
$1$ |
|
$3$ |
$110592$ |
$2.611340$ |
$10316097499609/5859375000$ |
$[0, 0, 0, -1632675, -109286750]$ |
\(y^2=x^3-1632675x-109286750\) |
3600.f3 |
3600bk6 |
3600.f |
3600bk |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{12} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.2, 3.4.0.1 |
2Cs, 3B |
$5.531155155$ |
$1$ |
|
$5$ |
$55296$ |
$2.264763$ |
$4102915888729/9000000$ |
$[0, 0, 0, -1200675, -505430750]$ |
\(y^2=x^3-1200675x-505430750\) |
3600.f4 |
3600bk5 |
3600.f |
3600bk |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$0.921859192$ |
$1$ |
|
$9$ |
$36864$ |
$2.062031$ |
$2656166199049/33750$ |
$[0, 0, 0, -1038675, 407439250]$ |
\(y^2=x^3-1038675x+407439250\) |
3600.f5 |
3600bk4 |
3600.f |
3600bk |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{13} \cdot 3^{18} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$3.687436770$ |
$1$ |
|
$5$ |
$36864$ |
$2.062031$ |
$35578826569/5314410$ |
$[0, 0, 0, -246675, -40616750]$ |
\(y^2=x^3-246675x-40616750\) |
3600.f6 |
3600bk2 |
3600.f |
3600bk |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.2, 3.4.0.1 |
2Cs, 3B |
$1.843718385$ |
$1$ |
|
$13$ |
$18432$ |
$1.715458$ |
$702595369/72900$ |
$[0, 0, 0, -66675, 6003250]$ |
\(y^2=x^3-66675x+6003250\) |
3600.f7 |
3600bk3 |
3600.f |
3600bk |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{24} \cdot 3^{7} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$2.765577577$ |
$1$ |
|
$5$ |
$27648$ |
$1.918192$ |
$-273359449/1536000$ |
$[0, 0, 0, -48675, -13526750]$ |
\(y^2=x^3-48675x-13526750\) |
3600.f8 |
3600bk1 |
3600.f |
3600bk |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$0.921859192$ |
$1$ |
|
$9$ |
$9216$ |
$1.368885$ |
$357911/2160$ |
$[0, 0, 0, 5325, 459250]$ |
\(y^2=x^3+5325x+459250\) |
3600.g1 |
3600i2 |
3600.g |
3600i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.528093$ |
$1000188$ |
$[0, 0, 0, -70875, 7256250]$ |
\(y^2=x^3-70875x+7256250\) |
3600.g2 |
3600i1 |
3600.g |
3600i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.181520$ |
$-432$ |
$[0, 0, 0, -3375, 168750]$ |
\(y^2=x^3-3375x+168750\) |
3600.h1 |
3600p3 |
3600.h |
3600p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.151812$ |
$132304644/5$ |
$[0, 0, 0, -24075, -1437750]$ |
\(y^2=x^3-24075x-1437750\) |
3600.h2 |
3600p2 |
3600.h |
3600p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.805238$ |
$148176/25$ |
$[0, 0, 0, -1575, -20250]$ |
\(y^2=x^3-1575x-20250\) |
3600.h3 |
3600p1 |
3600.h |
3600p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.458664$ |
$55296/5$ |
$[0, 0, 0, -450, 3375]$ |
\(y^2=x^3-450x+3375\) |
3600.h4 |
3600p4 |
3600.h |
3600p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.151812$ |
$237276/625$ |
$[0, 0, 0, 2925, -114750]$ |
\(y^2=x^3+2925x-114750\) |
3600.i1 |
3600w1 |
3600.i |
3600w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$0.465370719$ |
$1$ |
|
$4$ |
$3840$ |
$0.865316$ |
$5120/3$ |
$[0, 0, 0, 1500, -2500]$ |
\(y^2=x^3+1500x-2500\) |
3600.j1 |
3600bj2 |
3600.j |
3600bj |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4.591654055$ |
$1$ |
|
$2$ |
$9600$ |
$1.454075$ |
$-102400/3$ |
$[0, 0, 0, -30000, -2050000]$ |
\(y^2=x^3-30000x-2050000\) |
3600.j2 |
3600bj1 |
3600.j |
3600bj |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$0.918330811$ |
$1$ |
|
$4$ |
$1920$ |
$0.649355$ |
$20480/243$ |
$[0, 0, 0, 240, 6320]$ |
\(y^2=x^3+240x+6320\) |
3600.k1 |
3600v2 |
3600.k |
3600v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.346 |
2B |
$1.736278429$ |
$1$ |
|
$5$ |
$3840$ |
$1.027380$ |
$78608$ |
$[0, 0, 0, -6375, 193750]$ |
\(y^2=x^3-6375x+193750\) |
3600.k2 |
3600v1 |
3600.k |
3600v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.338 |
2B |
$3.472556859$ |
$1$ |
|
$3$ |
$1920$ |
$0.680806$ |
$2048$ |
$[0, 0, 0, -750, -3125]$ |
\(y^2=x^3-750x-3125\) |
3600.l1 |
3600bo2 |
3600.l |
3600bo |
$4$ |
$15$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1$ |
$1$ |
|
$0$ |
$4320$ |
$1.065660$ |
$-349938025/8$ |
$[0, 0, 0, -18075, -935350]$ |
\(y^2=x^3-18075x-935350\) |
3600.l2 |
3600bo3 |
3600.l |
3600bo |
$4$ |
$15$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1$ |
$1$ |
|
$0$ |
$7200$ |
$1.321074$ |
$-121945/32$ |
$[0, 0, 0, -10875, 526250]$ |
\(y^2=x^3-10875x+526250\) |
3600.l3 |
3600bo1 |
3600.l |
3600bo |
$4$ |
$15$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.516354$ |
$-25/2$ |
$[0, 0, 0, -75, -2950]$ |
\(y^2=x^3-75x-2950\) |
3600.l4 |
3600bo4 |
3600.l |
3600bo |
$4$ |
$15$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{27} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1$ |
$1$ |
|
$0$ |
$21600$ |
$1.870378$ |
$46969655/32768$ |
$[0, 0, 0, 79125, -3883750]$ |
\(y^2=x^3+79125x-3883750\) |
3600.m1 |
3600t1 |
3600.m |
3600t |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$0.610280505$ |
$1$ |
|
$4$ |
$3360$ |
$0.940505$ |
$270$ |
$[0, 0, 0, 1125, -33750]$ |
\(y^2=x^3+1125x-33750\) |
3600.n1 |
3600u2 |
3600.n |
3600u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1.077766827$ |
$1$ |
|
$7$ |
$3072$ |
$0.837507$ |
$2060602/729$ |
$[0, 0, 0, -1515, -14150]$ |
\(y^2=x^3-1515x-14150\) |
3600.n2 |
3600u1 |
3600.n |
3600u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.538883413$ |
$1$ |
|
$11$ |
$1536$ |
$0.490933$ |
$27436/27$ |
$[0, 0, 0, 285, -1550]$ |
\(y^2=x^3+285x-1550\) |
3600.o1 |
3600bn4 |
3600.o |
3600bn |
$4$ |
$10$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{17} \cdot 3^{16} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1$ |
$1$ |
|
$1$ |
$76800$ |
$2.513195$ |
$502270291349/1889568$ |
$[0, 0, 0, -2980875, 1974456250]$ |
\(y^2=x^3-2980875x+1974456250\) |
3600.o2 |
3600bn2 |
3600.o |
3600bn |
$4$ |
$10$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{13} \cdot 3^{8} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.708475$ |
$131872229/18$ |
$[0, 0, 0, -190875, -32093750]$ |
\(y^2=x^3-190875x-32093750\) |
3600.o3 |
3600bn3 |
3600.o |
3600bn |
$4$ |
$10$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{22} \cdot 3^{11} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1$ |
$1$ |
|
$1$ |
$38400$ |
$2.166618$ |
$-19465109/248832$ |
$[0, 0, 0, -100875, 59256250]$ |
\(y^2=x^3-100875x+59256250\) |
3600.o4 |
3600bn1 |
3600.o |
3600bn |
$4$ |
$10$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.361900$ |
$-24389/12$ |
$[0, 0, 0, -10875, -593750]$ |
\(y^2=x^3-10875x-593750\) |
3600.p1 |
3600b1 |
3600.p |
3600b |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.1 |
|
$0.900391054$ |
$1$ |
|
$2$ |
$1152$ |
$0.386355$ |
$-138240$ |
$[0, 0, 0, -540, 4860]$ |
\(y^2=x^3-540x+4860\) |
3600.q1 |
3600y1 |
3600.q |
3600y |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.756832$ |
$0$ |
$[0, 0, 0, 0, -12500]$ |
\(y^2=x^3-12500\) |
3600.q2 |
3600y2 |
3600.q |
3600y |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
$1$ |
$1$ |
|
$0$ |
$8640$ |
$1.306139$ |
$0$ |
$[0, 0, 0, 0, 337500]$ |
\(y^2=x^3+337500\) |
3600.r1 |
3600a1 |
3600.r |
3600a |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.1 |
|
$2.051775964$ |
$1$ |
|
$2$ |
$384$ |
$-0.162951$ |
$-138240$ |
$[0, 0, 0, -60, -180]$ |
\(y^2=x^3-60x-180\) |
3600.s1 |
3600bg2 |
3600.s |
3600bg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3.746882656$ |
$1$ |
|
$2$ |
$3456$ |
$0.804523$ |
$-30866268160/3$ |
$[0, 0, 0, -10920, -439220]$ |
\(y^2=x^3-10920x-439220\) |
3600.s2 |
3600bg1 |
3600.s |
3600bg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1.248960885$ |
$1$ |
|
$4$ |
$1152$ |
$0.255217$ |
$-40960/27$ |
$[0, 0, 0, -120, -740]$ |
\(y^2=x^3-120x-740\) |
3600.t1 |
3600l5 |
3600.t |
3600l |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.118 |
2B |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.834024$ |
$1770025017602/75$ |
$[0, 0, 0, -720075, -235187750]$ |
\(y^2=x^3-720075x-235187750\) |
3600.t2 |
3600l3 |
3600.t |
3600l |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.133 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.487450$ |
$868327204/5625$ |
$[0, 0, 0, -45075, -3662750]$ |
\(y^2=x^3-45075x-3662750\) |
3600.t3 |
3600l6 |
3600.t |
3600l |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.155 |
2B |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.834024$ |
$-27995042/1171875$ |
$[0, 0, 0, -18075, -8009750]$ |
\(y^2=x^3-18075x-8009750\) |