| 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 |
| 3136.a1 |
3136bc1 |
3136.a |
3136bc |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$56$ |
$12$ |
$0$ |
$0.903884273$ |
$1$ |
|
$2$ |
$384$ |
$-0.307788$ |
$48384$ |
$0.89152$ |
$2.68426$ |
$[0, 0, 0, -28, -56]$ |
\(y^2=x^3-28x-56\) |
2.2.0.a.1, 14.6.0.a.1, 56.12.0-14.a.1.3 |
$[(-3, 1)]$ |
| 3136.b1 |
3136c1 |
3136.b |
3136c |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$56$ |
$12$ |
$0$ |
$2.833922587$ |
$1$ |
|
$2$ |
$2688$ |
$0.665167$ |
$48384$ |
$0.89152$ |
$4.13451$ |
$[0, 0, 0, -1372, -19208]$ |
\(y^2=x^3-1372x-19208\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 14.6.0.a.1, 56.12.0-14.a.1.2 |
$[(-19, 1)]$ |
| 3136.c1 |
3136bb2 |
3136.c |
3136bb |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{17} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1.688987630$ |
$1$ |
|
$5$ |
$6144$ |
$1.084860$ |
$3543122/49$ |
$1.08036$ |
$4.78709$ |
$[0, 1, 0, -7905, -269921]$ |
\(y^2=x^3+x^2-7905x-269921\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(-54, 49)]$ |
| 3136.c2 |
3136bb1 |
3136.c |
3136bb |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{16} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$0.844493815$ |
$1$ |
|
$9$ |
$3072$ |
$0.738286$ |
$-4/7$ |
$1.03482$ |
$3.99552$ |
$[0, 1, 0, -65, -11201]$ |
\(y^2=x^3+x^2-65x-11201\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(37, 196)]$ |
| 3136.d1 |
3136m2 |
3136.d |
3136m |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{15} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.6.0.3, 3.3.0.1 |
2B, 3Nn |
$168$ |
$72$ |
$3$ |
$0.631111998$ |
$1$ |
|
$23$ |
$1024$ |
$0.207533$ |
$238328$ |
$0.90798$ |
$3.55451$ |
$[0, 1, 0, -289, 1791]$ |
\(y^2=x^3+x^2-289x+1791\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.e.1, 12.18.0.d.1, $\ldots$ |
$[(11, 8), (27, 120)]$ |
| 3136.d2 |
3136m1 |
3136.d |
3136m |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{12} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.6.0.3, 3.3.0.1 |
2B, 3Nn |
$168$ |
$72$ |
$3$ |
$0.631111998$ |
$1$ |
|
$21$ |
$512$ |
$-0.139041$ |
$-64$ |
$0.89152$ |
$2.68878$ |
$[0, 1, 0, -9, 55]$ |
\(y^2=x^3+x^2-9x+55\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.e.1, 12.18.0.e.1, $\ldots$ |
$[(-1, 8), (2, 7)]$ |
| 3136.e1 |
3136k6 |
3136.e |
3136k |
$6$ |
$18$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{27} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$2.425777$ |
$2251439055699625/25088$ |
$1.06489$ |
$7.39096$ |
$[0, 1, 0, -8562913, 9641661567]$ |
\(y^2=x^3+x^2-8562913x+9641661567\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
| 3136.e2 |
3136k5 |
3136.e |
3136k |
$6$ |
$18$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{36} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$2.079205$ |
$-548347731625/1835008$ |
$1.02933$ |
$6.35821$ |
$[0, 1, 0, -534753, 150770815]$ |
\(y^2=x^3+x^2-534753x+150770815\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
| 3136.e3 |
3136k4 |
3136.e |
3136k |
$6$ |
$18$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{21} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.876471$ |
$4956477625/941192$ |
$1.00821$ |
$5.77292$ |
$[0, 1, 0, -111393, 11692351]$ |
\(y^2=x^3+x^2-111393x+11692351\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 12.72.0-6.a.1.6, $\ldots$ |
$[]$ |
| 3136.e4 |
3136k2 |
3136.e |
3136k |
$6$ |
$18$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{19} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.327164$ |
$128787625/98$ |
$0.96763$ |
$5.31951$ |
$[0, 1, 0, -32993, -2316161]$ |
\(y^2=x^3+x^2-32993x-2316161\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
| 3136.e5 |
3136k1 |
3136.e |
3136k |
$6$ |
$18$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{20} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.980591$ |
$-15625/28$ |
$1.01712$ |
$4.37464$ |
$[0, 1, 0, -1633, -51969]$ |
\(y^2=x^3+x^2-1633x-51969\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
| 3136.e6 |
3136k3 |
3136.e |
3136k |
$6$ |
$18$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{24} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.529898$ |
$9938375/21952$ |
$0.98695$ |
$5.12994$ |
$[0, 1, 0, 14047, 1080127]$ |
\(y^2=x^3+x^2+14047x+1080127\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 12.72.0-6.a.1.6, $\ldots$ |
$[]$ |
| 3136.f1 |
3136ba2 |
3136.f |
3136ba |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{15} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1.324661931$ |
$1$ |
|
$5$ |
$3072$ |
$0.862329$ |
$125000/49$ |
$1.00487$ |
$4.19948$ |
$[0, 1, 0, -1633, 13887]$ |
\(y^2=x^3+x^2-1633x+13887\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(58, 343)]$ |
| 3136.f2 |
3136ba1 |
3136.f |
3136ba |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{12} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$0.662330965$ |
$1$ |
|
$7$ |
$1536$ |
$0.515755$ |
$8000/7$ |
$0.98030$ |
$3.59974$ |
$[0, 1, 0, 327, 1735]$ |
\(y^2=x^3+x^2+327x+1735\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(2, 49)]$ |
| 3136.g1 |
3136l2 |
3136.g |
3136l |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{15} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.6.0.3, 3.3.0.1 |
2B, 3Nn |
$168$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$7168$ |
$1.180489$ |
$238328$ |
$0.90798$ |
$5.00476$ |
$[0, 1, 0, -14177, 642655]$ |
\(y^2=x^3+x^2-14177x+642655\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.e.1, 12.18.0.d.1, $\ldots$ |
$[]$ |
| 3136.g2 |
3136l1 |
3136.g |
3136l |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{12} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.6.0.3, 3.3.0.1 |
2B, 3Nn |
$168$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$3584$ |
$0.833914$ |
$-64$ |
$0.89152$ |
$4.13902$ |
$[0, 1, 0, -457, 19767]$ |
\(y^2=x^3+x^2-457x+19767\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.e.1, 12.18.0.e.1, $\ldots$ |
$[]$ |
| 3136.h1 |
3136b2 |
3136.h |
3136b |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.4.0.1, 9.12.0.2 |
2Cn, 3B |
$504$ |
$864$ |
$28$ |
$2.097646250$ |
$1$ |
|
$2$ |
$4032$ |
$1.114494$ |
$406749952$ |
$0.99897$ |
$5.25699$ |
$[0, -1, 0, -27897, -1784159]$ |
\(y^2=x^3-x^2-27897x-1784159\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 9.12.0.b.1, $\ldots$ |
$[(-96, 1)]$ |
| 3136.h2 |
3136b1 |
3136.h |
3136b |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.4.0.1, 9.12.0.2 |
2Cn, 3B |
$504$ |
$864$ |
$28$ |
$0.699215416$ |
$1$ |
|
$2$ |
$1344$ |
$0.565187$ |
$1792$ |
$0.89152$ |
$3.72512$ |
$[0, -1, 0, -457, -559]$ |
\(y^2=x^3-x^2-457x-559\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 9.12.0.b.1, $\ldots$ |
$[(-16, 49)]$ |
| 3136.i1 |
3136g1 |
3136.i |
3136g |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2688$ |
$0.942656$ |
$12544$ |
$0.83745$ |
$4.45024$ |
$[0, -1, 0, -3201, -63671]$ |
\(y^2=x^3-x^2-3201x-63671\) |
2.2.0.a.1, 14.6.0.a.1, 56.12.0-14.a.1.4 |
$[]$ |
| 3136.j1 |
3136p1 |
3136.j |
3136p |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$-0.030300$ |
$12544$ |
$0.83745$ |
$3.00000$ |
$[0, -1, 0, -65, -167]$ |
\(y^2=x^3-x^2-65x-167\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 14.6.0.a.1, 56.12.0-14.a.1.1 |
$[]$ |
| 3136.k1 |
3136x2 |
3136.k |
3136x |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 9.12.0.2 |
2Cn, 3B |
$504$ |
$864$ |
$28$ |
$3.370750214$ |
$1$ |
|
$0$ |
$576$ |
$0.141539$ |
$406749952$ |
$0.99897$ |
$3.80675$ |
$[0, -1, 0, -569, -5039]$ |
\(y^2=x^3-x^2-569x-5039\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.16.0.a.1, $\ldots$ |
$[(-336/5, 13/5)]$ |
| 3136.k2 |
3136x1 |
3136.k |
3136x |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 9.12.0.2 |
2Cn, 3B |
$504$ |
$864$ |
$28$ |
$1.123583404$ |
$1$ |
|
$2$ |
$192$ |
$-0.407767$ |
$1792$ |
$0.89152$ |
$2.27488$ |
$[0, -1, 0, -9, 1]$ |
\(y^2=x^3-x^2-9x+1\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.16.0.a.2, $\ldots$ |
$[(0, 1)]$ |
| 3136.l1 |
3136v1 |
3136.l |
3136v |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.634282031$ |
$1$ |
|
$3$ |
$256$ |
$-0.477482$ |
$1728$ |
|
$2.16768$ |
$[0, 0, 0, -7, 0]$ |
\(y^2=x^3-7x\) |
|
$[(4, 6)]$ |
| 3136.l2 |
3136v2 |
3136.l |
3136v |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{12} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.817141015$ |
$1$ |
|
$7$ |
$512$ |
$-0.130908$ |
$1728$ |
|
$2.68426$ |
$[0, 0, 0, 28, 0]$ |
\(y^2=x^3+28x\) |
|
$[(2, 8)]$ |
| 3136.m1 |
3136t3 |
3136.m |
3136t |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{15} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.067060424$ |
$1$ |
|
$7$ |
$1536$ |
$0.702143$ |
$287496$ |
$1.17246$ |
$4.30293$ |
$[0, 0, 0, -2156, -38416]$ |
\(y^2=x^3-2156x-38416\) |
|
$[(-26, 8)]$ |
| 3136.m2 |
3136t4 |
3136.m |
3136t |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{15} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.067060424$ |
$1$ |
|
$5$ |
$1536$ |
$0.702143$ |
$287496$ |
$1.17246$ |
$4.30293$ |
$[0, 0, 0, -2156, 38416]$ |
\(y^2=x^3-2156x+38416\) |
|
$[(0, 196)]$ |
| 3136.m3 |
3136t2 |
3136.m |
3136t |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{12} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.143 |
2Cs |
|
|
|
$2.134120849$ |
$1$ |
|
$7$ |
$768$ |
$0.355569$ |
$1728$ |
|
$3.40938$ |
$[0, 0, 0, -196, 0]$ |
\(y^2=x^3-196x\) |
|
$[(18, 48)]$ |
| 3136.m4 |
3136t1 |
3136.m |
3136t |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.178 |
2B |
|
|
|
$4.268241698$ |
$1$ |
|
$1$ |
$384$ |
$0.008996$ |
$1728$ |
|
$2.89280$ |
$[0, 0, 0, 49, 0]$ |
\(y^2=x^3+49x\) |
|
$[(16/3, 260/3)]$ |
| 3136.n1 |
3136d4 |
3136.n |
3136d |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$7168$ |
$1.560112$ |
$16581375$ |
$1.19804$ |
$5.79001$ |
$[0, 0, 0, -116620, 15327984]$ |
\(y^2=x^3-116620x+15327984\) |
|
$[]$ |
| 3136.n2 |
3136d3 |
3136.n |
3136d |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$3584$ |
$1.213537$ |
$-3375$ |
$0.98030$ |
$4.78560$ |
$[0, 0, 0, -6860, 268912]$ |
\(y^2=x^3-6860x+268912\) |
|
$[]$ |
| 3136.n3 |
3136d2 |
3136.n |
3136d |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.587156$ |
$16581375$ |
$1.19804$ |
$4.33977$ |
$[0, 0, 0, -2380, -44688]$ |
\(y^2=x^3-2380x-44688\) |
|
$[]$ |
| 3136.n4 |
3136d1 |
3136.n |
3136d |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.240582$ |
$-3375$ |
$0.98030$ |
$3.33536$ |
$[0, 0, 0, -140, -784]$ |
\(y^2=x^3-140x-784\) |
|
$[]$ |
| 3136.o1 |
3136r4 |
3136.o |
3136r |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$13.08623896$ |
$1$ |
|
$1$ |
$7168$ |
$1.560112$ |
$16581375$ |
$1.19804$ |
$5.79001$ |
$[0, 0, 0, -116620, -15327984]$ |
\(y^2=x^3-116620x-15327984\) |
|
$[(931200/13, 896827212/13)]$ |
| 3136.o2 |
3136r3 |
3136.o |
3136r |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.543119480$ |
$1$ |
|
$3$ |
$3584$ |
$1.213537$ |
$-3375$ |
$0.98030$ |
$4.78560$ |
$[0, 0, 0, -6860, -268912]$ |
\(y^2=x^3-6860x-268912\) |
|
$[(5506, 408512)]$ |
| 3136.o3 |
3136r2 |
3136.o |
3136r |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.869462708$ |
$1$ |
|
$5$ |
$1024$ |
$0.587156$ |
$16581375$ |
$1.19804$ |
$4.33977$ |
$[0, 0, 0, -2380, 44688]$ |
\(y^2=x^3-2380x+44688\) |
|
$[(21, 63)]$ |
| 3136.o4 |
3136r1 |
3136.o |
3136r |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.934731354$ |
$1$ |
|
$5$ |
$512$ |
$0.240582$ |
$-3375$ |
$0.98030$ |
$3.33536$ |
$[0, 0, 0, -140, 784]$ |
\(y^2=x^3-140x+784\) |
|
$[(0, 28)]$ |
| 3136.p1 |
3136s4 |
3136.p |
3136s |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{17} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.111 |
2B |
$56$ |
$48$ |
$0$ |
$1.933057233$ |
$1$ |
|
$3$ |
$6144$ |
$1.317495$ |
$1443468546/7$ |
$1.04654$ |
$5.53359$ |
$[0, 0, 0, -58604, 5460560]$ |
\(y^2=x^3-58604x+5460560\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.2, 28.12.0-4.c.1.1, 56.48.0-56.bp.1.6 |
$[(28, 1960)]$ |
| 3136.p2 |
3136s3 |
3136.p |
3136s |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{17} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.117 |
2B |
$56$ |
$48$ |
$0$ |
$1.933057233$ |
$1$ |
|
$3$ |
$6144$ |
$1.317495$ |
$11090466/2401$ |
$1.11706$ |
$4.92883$ |
$[0, 0, 0, -11564, -378672]$ |
\(y^2=x^3-11564x-378672\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.4, 28.12.0-4.c.1.2, 56.48.0-56.v.1.2 |
$[(266, 3920)]$ |
| 3136.p3 |
3136s2 |
3136.p |
3136s |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.7 |
2Cs |
$56$ |
$48$ |
$0$ |
$3.866114466$ |
$1$ |
|
$5$ |
$3072$ |
$0.970922$ |
$740772/49$ |
$1.06534$ |
$4.50660$ |
$[0, 0, 0, -3724, 82320]$ |
\(y^2=x^3-3724x+82320\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.a.1.4, 28.24.0-28.b.1.4, 56.48.0-56.d.1.8 |
$[(92, 720)]$ |
| 3136.p4 |
3136s1 |
3136.p |
3136s |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{14} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.107 |
2B |
$56$ |
$48$ |
$0$ |
$1.933057233$ |
$1$ |
|
$5$ |
$1536$ |
$0.624349$ |
$432/7$ |
$0.89152$ |
$3.81877$ |
$[0, 0, 0, 196, 5488]$ |
\(y^2=x^3+196x+5488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(-6, 64)]$ |
| 3136.q1 |
3136e3 |
3136.q |
3136e |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{17} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.107 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6144$ |
$1.317495$ |
$1443468546/7$ |
$1.04654$ |
$5.53359$ |
$[0, 0, 0, -58604, -5460560]$ |
\(y^2=x^3-58604x-5460560\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.4, 28.12.0-4.c.1.2, 56.48.0-56.bp.1.2 |
$[]$ |
| 3136.q2 |
3136e4 |
3136.q |
3136e |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{17} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.117 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.317495$ |
$11090466/2401$ |
$1.11706$ |
$4.92883$ |
$[0, 0, 0, -11564, 378672]$ |
\(y^2=x^3-11564x+378672\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.4, 28.12.0-4.c.1.1, 56.48.0-56.v.1.5 |
$[]$ |
| 3136.q3 |
3136e2 |
3136.q |
3136e |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.7 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$3072$ |
$0.970922$ |
$740772/49$ |
$1.06534$ |
$4.50660$ |
$[0, 0, 0, -3724, -82320]$ |
\(y^2=x^3-3724x-82320\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.a.1.4, 28.24.0-28.b.1.4, 56.48.0-56.d.1.6 |
$[]$ |
| 3136.q4 |
3136e1 |
3136.q |
3136e |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{14} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.111 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.624349$ |
$432/7$ |
$0.89152$ |
$3.81877$ |
$[0, 0, 0, 196, -5488]$ |
\(y^2=x^3+196x-5488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 3136.r1 |
3136u1 |
3136.r |
3136u |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.516781148$ |
$1$ |
|
$1$ |
$1792$ |
$0.495473$ |
$1728$ |
|
$3.61792$ |
$[0, 0, 0, -343, 0]$ |
\(y^2=x^3-343x\) |
|
$[(484/5, 3102/5)]$ |
| 3136.r2 |
3136u2 |
3136.r |
3136u |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{12} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.258390574$ |
$1$ |
|
$3$ |
$3584$ |
$0.842047$ |
$1728$ |
|
$4.13451$ |
$[0, 0, 0, 1372, 0]$ |
\(y^2=x^3+1372x\) |
|
$[(50, 440)]$ |
| 3136.s1 |
3136o2 |
3136.s |
3136o |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.4.0.1, 9.12.0.2 |
2Cn, 3B |
$504$ |
$864$ |
$28$ |
$1$ |
$1$ |
|
$0$ |
$4032$ |
$1.114494$ |
$406749952$ |
$0.99897$ |
$5.25699$ |
$[0, 1, 0, -27897, 1784159]$ |
\(y^2=x^3+x^2-27897x+1784159\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 9.12.0.b.1, $\ldots$ |
$[]$ |
| 3136.s2 |
3136o1 |
3136.s |
3136o |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.4.0.1, 9.12.0.2 |
2Cn, 3B |
$504$ |
$864$ |
$28$ |
$1$ |
$1$ |
|
$0$ |
$1344$ |
$0.565187$ |
$1792$ |
$0.89152$ |
$3.72512$ |
$[0, 1, 0, -457, 559]$ |
\(y^2=x^3+x^2-457x+559\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 9.12.0.b.1, $\ldots$ |
$[]$ |
| 3136.t1 |
3136w1 |
3136.t |
3136w |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$56$ |
$12$ |
$0$ |
$3.883135787$ |
$1$ |
|
$2$ |
$2688$ |
$0.942656$ |
$12544$ |
$0.83745$ |
$4.45024$ |
$[0, 1, 0, -3201, 63671]$ |
\(y^2=x^3+x^2-3201x+63671\) |
2.2.0.a.1, 14.6.0.a.1, 56.12.0-14.a.1.3 |
$[(10, 181)]$ |
| 3136.u1 |
3136a1 |
3136.u |
3136a |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$56$ |
$12$ |
$0$ |
$0.536001026$ |
$1$ |
|
$2$ |
$384$ |
$-0.030300$ |
$12544$ |
$0.83745$ |
$3.00000$ |
$[0, 1, 0, -65, 167]$ |
\(y^2=x^3+x^2-65x+167\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 14.6.0.a.1, 56.12.0-14.a.1.2 |
$[(2, 7)]$ |
