Elliptic curves over Q\Q of conductor 3136

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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	$[(2, 7)]$

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