| 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 |
| 112896.a1 |
112896cd2 |
112896.a |
112896cd |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.19 |
2B |
$336$ |
$48$ |
$1$ |
$4.909085973$ |
$1$ |
|
$3$ |
$884736$ |
$1.747200$ |
$489303872/49$ |
$0.95485$ |
$4.18359$ |
$[0, 0, 0, -231672, -42916160]$ |
\(y^2=x^3-231672x-42916160\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 48.24.0-8.i.1.2, 56.24.1.l.1, $\ldots$ |
$[(872, 20448)]$ |
| 112896.a2 |
112896cd1 |
112896.a |
112896cd |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.19 |
2B |
$336$ |
$48$ |
$1$ |
$2.454542986$ |
$1$ |
|
$3$ |
$442368$ |
$1.400627$ |
$9528128/2401$ |
$0.91404$ |
$3.48757$ |
$[0, 0, 0, -15582, -562520]$ |
\(y^2=x^3-15582x-562520\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 48.24.0-8.i.1.2, 56.24.1.l.1, $\ldots$ |
$[(-84, 392)]$ |
| 112896.b1 |
112896cz1 |
112896.b |
112896cz |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.078489807$ |
$1$ |
|
$5$ |
$602112$ |
$1.492720$ |
$1728$ |
|
$3.53214$ |
$[0, 0, 0, -18522, 0]$ |
\(y^2=x^3-18522x\) |
|
$[(-54, 918)]$ |
| 112896.b2 |
112896cz2 |
112896.b |
112896cz |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.156979614$ |
$1$ |
|
$3$ |
$1204224$ |
$1.839293$ |
$1728$ |
|
$3.88961$ |
$[0, 0, 0, 74088, 0]$ |
\(y^2=x^3+74088x\) |
|
$[(289, 6749)]$ |
| 112896.c1 |
112896v2 |
112896.c |
112896v |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$172032$ |
$0.866338$ |
$1728$ |
|
$2.88607$ |
$[0, 0, 0, -1512, 0]$ |
\(y^2=x^3-1512x\) |
|
$[]$ |
| 112896.c2 |
112896v1 |
112896.c |
112896v |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$86016$ |
$0.519764$ |
$1728$ |
|
$2.52860$ |
$[0, 0, 0, 378, 0]$ |
\(y^2=x^3+378x\) |
|
$[]$ |
| 112896.d1 |
112896cc1 |
112896.d |
112896cc |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.189 |
2B |
|
|
|
$1.284349042$ |
$1$ |
|
$5$ |
$98304$ |
$0.731588$ |
$1728$ |
|
$2.74708$ |
$[0, 0, 0, -882, 0]$ |
\(y^2=x^3-882x\) |
|
$[(-14, 98)]$ |
| 112896.d2 |
112896cc2 |
112896.d |
112896cc |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.145 |
2B |
|
|
|
$2.568698084$ |
$1$ |
|
$5$ |
$196608$ |
$1.078163$ |
$1728$ |
|
$3.10455$ |
$[0, 0, 0, 3528, 0]$ |
\(y^2=x^3+3528x\) |
|
$[(49, 539)]$ |
| 112896.e1 |
112896cy1 |
112896.e |
112896cy |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.299092146$ |
$1$ |
|
$5$ |
$28672$ |
$-0.029542$ |
$1728$ |
|
$1.96202$ |
$[0, 0, 0, -42, 0]$ |
\(y^2=x^3-42x\) |
|
$[(7, 7)]$ |
| 112896.e2 |
112896cy2 |
112896.e |
112896cy |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.598184292$ |
$1$ |
|
$5$ |
$57344$ |
$0.317032$ |
$1728$ |
|
$2.31949$ |
$[0, 0, 0, 168, 0]$ |
\(y^2=x^3+168x\) |
|
$[(1, 13)]$ |
| 112896.f1 |
112896u2 |
112896.f |
112896u |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$401408$ |
$1.289988$ |
$1728$ |
|
$3.32304$ |
$[0, 0, 0, -8232, 0]$ |
\(y^2=x^3-8232x\) |
|
$[]$ |
| 112896.f2 |
112896u1 |
112896.f |
112896u |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$200704$ |
$0.943413$ |
$1728$ |
|
$2.96557$ |
$[0, 0, 0, 2058, 0]$ |
\(y^2=x^3+2058x\) |
|
$[]$ |
| 112896.g1 |
112896eh2 |
112896.g |
112896eh |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.19 |
2B |
$336$ |
$48$ |
$1$ |
$4.130727857$ |
$1$ |
|
$11$ |
$884736$ |
$1.747200$ |
$489303872/49$ |
$0.95485$ |
$4.18359$ |
$[0, 0, 0, -231672, 42916160]$ |
\(y^2=x^3-231672x+42916160\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 48.24.0-8.i.1.3, 56.24.1.l.1, $\ldots$ |
$[(56, 5488), (-287, 9261)]$ |
| 112896.g2 |
112896eh1 |
112896.g |
112896eh |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.19 |
2B |
$336$ |
$48$ |
$1$ |
$4.130727857$ |
$1$ |
|
$11$ |
$442368$ |
$1.400627$ |
$9528128/2401$ |
$0.91404$ |
$3.48757$ |
$[0, 0, 0, -15582, 562520]$ |
\(y^2=x^3-15582x+562520\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 48.24.0-8.i.1.3, 56.24.1.l.1, $\ldots$ |
$[(-14, 882), (35, 245)]$ |
| 112896.h1 |
112896ee1 |
112896.h |
112896ee |
$1$ |
$1$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$1.469419$ |
$3136/3$ |
$1.17572$ |
$3.46734$ |
$[0, 0, 0, 14406, 537824]$ |
\(y^2=x^3+14406x+537824\) |
24.2.0.b.1 |
$[]$ |
| 112896.i1 |
112896bd1 |
112896.i |
112896bd |
$1$ |
$1$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 7^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.646223698$ |
$1$ |
|
$16$ |
$122880$ |
$0.843039$ |
$3136/3$ |
$1.17572$ |
$2.82127$ |
$[0, 0, 0, 1176, 12544]$ |
\(y^2=x^3+1176x+12544\) |
24.2.0.b.1 |
$[(56, 504), (-7, 63)]$ |
| 112896.j1 |
112896ed1 |
112896.j |
112896ed |
$1$ |
$1$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$1.469419$ |
$3136/3$ |
$1.17572$ |
$3.46734$ |
$[0, 0, 0, 14406, -537824]$ |
\(y^2=x^3+14406x-537824\) |
24.2.0.b.1 |
$[]$ |
| 112896.k1 |
112896bc1 |
112896.k |
112896bc |
$1$ |
$1$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$0.843039$ |
$3136/3$ |
$1.17572$ |
$2.82127$ |
$[0, 0, 0, 1176, -12544]$ |
\(y^2=x^3+1176x-12544\) |
24.2.0.b.1 |
$[]$ |
| 112896.l1 |
112896cv1 |
112896.l |
112896cv |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$168$ |
$12$ |
$0$ |
$0.713028189$ |
$1$ |
|
$7$ |
$73728$ |
$0.772277$ |
$1259712/7$ |
$0.98647$ |
$3.03037$ |
$[0, 0, 0, -2646, 52136]$ |
\(y^2=x^3-2646x+52136\) |
2.3.0.a.1, 24.6.0.c.1, 28.6.0.d.1, 168.12.0.? |
$[(35, 49)]$ |
| 112896.l2 |
112896cv2 |
112896.l |
112896cv |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$168$ |
$12$ |
$0$ |
$1.426056378$ |
$1$ |
|
$5$ |
$147456$ |
$1.118851$ |
$-1728/49$ |
$0.92080$ |
$3.15752$ |
$[0, 0, 0, -1176, 109760]$ |
\(y^2=x^3-1176x+109760\) |
2.3.0.a.1, 24.6.0.b.1, 28.6.0.d.1, 168.12.0.? |
$[(-7, 343)]$ |
| 112896.m1 |
112896r2 |
112896.m |
112896r |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$168$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.668158$ |
$1259712/7$ |
$0.98647$ |
$3.95442$ |
$[0, 0, 0, -95256, -11261376]$ |
\(y^2=x^3-95256x-11261376\) |
2.3.0.a.1, 24.6.0.c.1, 28.6.0.d.1, 168.12.0.? |
$[]$ |
| 112896.m2 |
112896r1 |
112896.m |
112896r |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$168$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.321583$ |
$-1728/49$ |
$0.92080$ |
$3.36662$ |
$[0, 0, 0, -2646, -370440]$ |
\(y^2=x^3-2646x-370440\) |
2.3.0.a.1, 24.6.0.b.1, 28.6.0.d.1, 168.12.0.? |
$[]$ |
| 112896.n1 |
112896bx1 |
112896.n |
112896bx |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{12} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$6.765144914$ |
$1$ |
|
$3$ |
$884736$ |
$2.029640$ |
$1575473627456/35721$ |
$1.02558$ |
$4.52037$ |
$[0, 0, 0, -855246, -304422104]$ |
\(y^2=x^3-855246x-304422104\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.d.1, 56.12.0.i.1 |
$[(17675, 2346561)]$ |
| 112896.n2 |
112896bx2 |
112896.n |
112896bx |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{18} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$13.53028982$ |
$1$ |
|
$1$ |
$1769472$ |
$2.376213$ |
$-22046214464/3720087$ |
$1.00066$ |
$4.53289$ |
$[0, 0, 0, -824376, -327414080]$ |
\(y^2=x^3-824376x-327414080\) |
2.3.0.a.1, 8.6.0.c.1, 28.6.0.d.1, 56.12.0.r.1 |
$[(5107977/17, 11528868911/17)]$ |
| 112896.o1 |
112896by1 |
112896.o |
112896by |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1.647059262$ |
$1$ |
|
$5$ |
$294912$ |
$1.256411$ |
$1560896/441$ |
$0.88038$ |
$3.33209$ |
$[0, 0, 0, -8526, 216776]$ |
\(y^2=x^3-8526x+216776\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.d.1, 56.12.0.i.1 |
$[(91, 441)]$ |
| 112896.o2 |
112896by2 |
112896.o |
112896by |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$3.294118524$ |
$1$ |
|
$5$ |
$589824$ |
$1.602983$ |
$438976/567$ |
$0.88760$ |
$3.59845$ |
$[0, 0, 0, 22344, 1426880]$ |
\(y^2=x^3+22344x+1426880\) |
2.3.0.a.1, 8.6.0.c.1, 28.6.0.d.1, 56.12.0.r.1 |
$[(-7, 1127)]$ |
| 112896.p1 |
112896ct2 |
112896.p |
112896ct |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.205818238$ |
$1$ |
|
$5$ |
$98304$ |
$0.803509$ |
$1728$ |
|
$2.82127$ |
$[0, 0, 0, -1176, 0]$ |
\(y^2=x^3-1176x\) |
|
$[(49, 245)]$ |
| 112896.p2 |
112896ct1 |
112896.p |
112896ct |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.102909119$ |
$1$ |
|
$5$ |
$49152$ |
$0.456935$ |
$1728$ |
|
$2.46380$ |
$[0, 0, 0, 294, 0]$ |
\(y^2=x^3+294x\) |
|
$[(7, 49)]$ |
| 112896.q1 |
112896p1 |
112896.q |
112896p |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.136 |
2B |
$336$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.450249$ |
$56676204750528/2401$ |
$1.14842$ |
$5.11162$ |
$[0, 0, 0, -8469846, 9487709280]$ |
\(y^2=x^3-8469846x+9487709280\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bo.1, 12.12.0.n.1, 16.48.1.ca.1, $\ldots$ |
$[]$ |
| 112896.q2 |
112896p2 |
112896.q |
112896p |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.129 |
2B |
$336$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.796822$ |
$-881422385472/5764801$ |
$1.13854$ |
$5.11218$ |
$[0, 0, 0, -8456616, 9518826240]$ |
\(y^2=x^3-8456616x+9518826240\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bo.1, 12.12.0.o.1, 16.48.1.bs.1, $\ldots$ |
$[]$ |
| 112896.r1 |
112896o1 |
112896.r |
112896o |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.136 |
2B |
$336$ |
$192$ |
$9$ |
$1$ |
$9$ |
$3$ |
$1$ |
$2064384$ |
$2.450249$ |
$56676204750528/2401$ |
$1.14842$ |
$5.11162$ |
$[0, 0, 0, -8469846, -9487709280]$ |
\(y^2=x^3-8469846x-9487709280\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bo.1, 12.12.0.n.1, 16.48.1.ca.1, $\ldots$ |
$[]$ |
| 112896.r2 |
112896o2 |
112896.r |
112896o |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.129 |
2B |
$336$ |
$192$ |
$9$ |
$1$ |
$9$ |
$3$ |
$1$ |
$4128768$ |
$2.796822$ |
$-881422385472/5764801$ |
$1.13854$ |
$5.11218$ |
$[0, 0, 0, -8456616, -9518826240]$ |
\(y^2=x^3-8456616x-9518826240\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bo.1, 12.12.0.o.1, 16.48.1.bs.1, $\ldots$ |
$[]$ |
| 112896.s1 |
112896dy2 |
112896.s |
112896dy |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.402617$ |
$85184/49$ |
$1.17246$ |
$3.43959$ |
$[0, 0, 0, -12936, -43904]$ |
\(y^2=x^3-12936x-43904\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1 |
$[]$ |
| 112896.s2 |
112896dy1 |
112896.s |
112896dy |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.056044$ |
$1560896/7$ |
$0.90907$ |
$3.33209$ |
$[0, 0, 0, -8526, 301840]$ |
\(y^2=x^3-8526x+301840\) |
2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1 |
$[]$ |
| 112896.t1 |
112896dx2 |
112896.t |
112896dx |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.402617$ |
$85184/49$ |
$1.17246$ |
$3.43959$ |
$[0, 0, 0, -12936, 43904]$ |
\(y^2=x^3-12936x+43904\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1 |
$[]$ |
| 112896.t2 |
112896dx1 |
112896.t |
112896dx |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.056044$ |
$1560896/7$ |
$0.90907$ |
$3.33209$ |
$[0, 0, 0, -8526, -301840]$ |
\(y^2=x^3-8526x-301840\) |
2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1 |
$[]$ |
| 112896.u1 |
112896bv4 |
112896.u |
112896bv |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{11} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$19.04785470$ |
$1$ |
|
$1$ |
$921600$ |
$2.055840$ |
$58591911104/243$ |
$1.10697$ |
$4.59491$ |
$[0, 0, 0, -1141896, -469663040]$ |
\(y^2=x^3-1141896x-469663040\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.d.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(467373113/391, 9377627814927/391)]$ |
| 112896.u2 |
112896bv3 |
112896.u |
112896bv |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{16} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$9.523927353$ |
$1$ |
|
$1$ |
$460800$ |
$1.709265$ |
$-873722816/59049$ |
$1.08875$ |
$3.88545$ |
$[0, 0, 0, -70266, -7576184]$ |
\(y^2=x^3-70266x-7576184\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(860294/17, 794655198/17)]$ |
| 112896.u3 |
112896bv2 |
112896.u |
112896bv |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$3.809570941$ |
$1$ |
|
$3$ |
$184320$ |
$1.251120$ |
$85184/3$ |
$1.24048$ |
$3.43959$ |
$[0, 0, 0, -12936, 548800]$ |
\(y^2=x^3-12936x+548800\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.d.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(137, 1161)]$ |
| 112896.u4 |
112896bv1 |
112896.u |
112896bv |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1.904785470$ |
$1$ |
|
$5$ |
$92160$ |
$0.904546$ |
$64/9$ |
$1.31110$ |
$2.93559$ |
$[0, 0, 0, 294, 30184]$ |
\(y^2=x^3+294x+30184\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(-10, 162)]$ |
| 112896.v1 |
112896dz4 |
112896.v |
112896dz |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{11} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$921600$ |
$2.055840$ |
$58591911104/243$ |
$1.10697$ |
$4.59491$ |
$[0, 0, 0, -1141896, 469663040]$ |
\(y^2=x^3-1141896x+469663040\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.d.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
| 112896.v2 |
112896dz3 |
112896.v |
112896dz |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{16} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$460800$ |
$1.709265$ |
$-873722816/59049$ |
$1.08875$ |
$3.88545$ |
$[0, 0, 0, -70266, 7576184]$ |
\(y^2=x^3-70266x+7576184\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
| 112896.v3 |
112896dz2 |
112896.v |
112896dz |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.251120$ |
$85184/3$ |
$1.24048$ |
$3.43959$ |
$[0, 0, 0, -12936, -548800]$ |
\(y^2=x^3-12936x-548800\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.d.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
| 112896.v4 |
112896dz1 |
112896.v |
112896dz |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$1680$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$0.904546$ |
$64/9$ |
$1.31110$ |
$2.93559$ |
$[0, 0, 0, 294, -30184]$ |
\(y^2=x^3+294x-30184\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
| 112896.w1 |
112896cs2 |
112896.w |
112896cs |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.136 |
2B |
$336$ |
$192$ |
$9$ |
$6.409920038$ |
$1$ |
|
$3$ |
$1376256$ |
$2.247517$ |
$56676204750528/2401$ |
$1.14842$ |
$4.90251$ |
$[0, 0, 0, -3764376, 2811173120]$ |
\(y^2=x^3-3764376x+2811173120\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bo.1, 12.12.0.n.1, 16.48.1.ca.1, $\ldots$ |
$[(-1784, 62040)]$ |
| 112896.w2 |
112896cs1 |
112896.w |
112896cs |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.129 |
2B |
$336$ |
$192$ |
$9$ |
$3.204960019$ |
$1$ |
|
$3$ |
$688128$ |
$1.900942$ |
$-881422385472/5764801$ |
$1.13854$ |
$4.18813$ |
$[0, 0, 0, -234906, 44068640]$ |
\(y^2=x^3-234906x+44068640\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bo.1, 12.12.0.o.1, 16.48.1.bs.1, $\ldots$ |
$[(287, 539)]$ |
| 112896.x1 |
112896cr2 |
112896.x |
112896cr |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.136 |
2B |
$336$ |
$192$ |
$9$ |
$30.92050185$ |
$1$ |
|
$1$ |
$1376256$ |
$2.247517$ |
$56676204750528/2401$ |
$1.14842$ |
$4.90251$ |
$[0, 0, 0, -3764376, -2811173120]$ |
\(y^2=x^3-3764376x-2811173120\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bo.1, 12.12.0.n.1, 16.48.1.ca.1, $\ldots$ |
$[(187402829395089/18889, 2565436374075237165125/18889)]$ |
| 112896.x2 |
112896cr1 |
112896.x |
112896cr |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.129 |
2B |
$336$ |
$192$ |
$9$ |
$15.46025092$ |
$1$ |
|
$1$ |
$688128$ |
$1.900942$ |
$-881422385472/5764801$ |
$1.13854$ |
$4.18813$ |
$[0, 0, 0, -234906, -44068640]$ |
\(y^2=x^3-234906x-44068640\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bo.1, 12.12.0.o.1, 16.48.1.bs.1, $\ldots$ |
$[(88765418/13, 836306589678/13)]$ |
| 112896.y1 |
112896n1 |
112896.y |
112896n |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.006241$ |
$1728$ |
|
$3.03037$ |
$[0, 0, 0, -2646, 0]$ |
\(y^2=x^3-2646x\) |
|
$[]$ |
| 112896.y2 |
112896n2 |
112896.y |
112896n |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.352816$ |
$1728$ |
|
$3.38784$ |
$[0, 0, 0, 10584, 0]$ |
\(y^2=x^3+10584x\) |
|
$[]$ |
