Elliptic curves over Q\Q of conductor 8670

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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
8670.a1	8670a1	8670.a	8670a	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{5} \cdot 3^{6} \cdot 5 \cdot 17^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.642990037$	$1$		$4$	$2160$	$0.131925$	$-43713001/116640$	$0.92815$	$2.75533$	$[1, 1, 0, -48, 288]$	$y^2+xy=x^3+x^2-48x+288$	40.2.0.a.1	$[(3, 12)]$
8670.b1	8670d1	8670.b	8670d	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{6} \cdot 3^{7} \cdot 5^{10} \cdot 17^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$514080$	$2.897453$	$-29324621982169/1366875000000$	$1.06237$	$6.40480$	$[1, 1, 0, -1227533, -4727641827]$	$y^2+xy=x^3+x^2-1227533x-4727641827$	6.2.0.a.1	$[]$
8670.c1	8670c2	8670.c	8670c	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{7} \cdot 3^{6} \cdot 5^{2} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$5.605738454$	$1$		$2$	$193536$	$2.255283$	$172735174415217961/39657600$	$1.00968$	$6.25189$	$[1, 1, 0, -3353128, -2364721472]$	$y^2+xy=x^3+x^2-3353128x-2364721472$	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(8331, 736108)]$
8670.c2	8670c1	8670.c	8670c	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{14} \cdot 3^{3} \cdot 5 \cdot 17^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$11.21147690$	$1$		$1$	$96768$	$1.908712$	$-41713327443241/639221760$	$0.96929$	$5.33627$	$[1, 1, 0, -208808, -37295808]$	$y^2+xy=x^3+x^2-208808x-37295808$	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(4599961/47, 9499343655/47)]$
8670.d1	8670b2	8670.d	8670b	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{3} \cdot 3^{4} \cdot 5^{8} \cdot 17^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$136$	$12$	$0$	$7.999874589$	$1$		$2$	$208896$	$2.427559$	$451747330217/253125000$	$1.05420$	$5.77167$	$[1, 1, 0, -785363, -48068283]$	$y^2+xy=x^3+x^2-785363x-48068283$	2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.?	$[(208489, 95092500)]$
8670.d2	8670b1	8670.d	8670b	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 17^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$136$	$12$	$0$	$3.999937294$	$1$		$3$	$104448$	$2.080986$	$190407092777/360000$	$0.98158$	$5.67639$	$[1, 1, 0, -588843, -173880387]$	$y^2+xy=x^3+x^2-588843x-173880387$	2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.?	$[(894, 3453)]$
8670.e1	8670g1	8670.e	8670g	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{7} \cdot 3^{10} \cdot 5^{7} \cdot 17^{4}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.544144763$	$1$		$6$	$105840$	$1.995007$	$-29036780124540841/590490000000$	$1.05534$	$5.43414$	$[1, 1, 0, -279902, -58107276]$	$y^2+xy=x^3+x^2-279902x-58107276$	40.2.0.a.1	$[(1463, 50906)]$
8670.f1	8670f1	8670.f	8670f	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{2} \cdot 3^{5} \cdot 5^{2} \cdot 17^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.485088240$	$1$		$6$	$73440$	$1.512486$	$-910904761/24300$	$0.91872$	$4.77972$	$[1, 1, 0, -38587, 2967961]$	$y^2+xy=x^3+x^2-38587x+2967961$	6.2.0.a.1	$[(120, 229)]$
8670.g1	8670e7	8670.g	8670e	$8$	$12$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 17^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$2040$	$384$	$5$	$1$	$4$	$2$	$0$	$110592$	$1.980772$	$16778985534208729/81000$	$1.08181$	$5.99475$	$[1, 1, 0, -1541387, -737215371]$	$y^2+xy=x^3+x^2-1541387x-737215371$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
8670.g2	8670e8	8670.g	8670e	$8$	$12$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{3} \cdot 3 \cdot 5^{12} \cdot 17^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$2040$	$384$	$5$	$1$	$1$		$0$	$110592$	$1.980772$	$10316097499609/5859375000$	$1.13600$	$5.17931$	$[1, 1, 0, -131067, -2540379]$	$y^2+xy=x^3+x^2-131067x-2540379$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
8670.g3	8670e6	8670.g	8670e	$8$	$12$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 17^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$2040$	$384$	$5$	$1$	$1$		$2$	$55296$	$1.634199$	$4102915888729/9000000$	$1.05221$	$5.07763$	$[1, 1, 0, -96387, -11536371]$	$y^2+xy=x^3+x^2-96387x-11536371$	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$	$[]$
8670.g4	8670e5	8670.g	8670e	$8$	$12$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2 \cdot 3^{3} \cdot 5^{4} \cdot 17^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$2040$	$384$	$5$	$1$	$1$		$0$	$36864$	$1.431467$	$2656166199049/33750$	$1.05017$	$5.02967$	$[1, 1, 0, -83382, 9232614]$	$y^2+xy=x^3+x^2-83382x+9232614$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$	$[]$
8670.g5	8670e4	8670.g	8670e	$8$	$12$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2 \cdot 3^{12} \cdot 5 \cdot 17^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$2040$	$384$	$5$	$1$	$4$	$2$	$0$	$36864$	$1.431467$	$35578826569/5314410$	$1.03393$	$4.55404$	$[1, 1, 0, -19802, -932094]$	$y^2+xy=x^3+x^2-19802x-932094$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
8670.g6	8670e2	8670.g	8670e	$8$	$12$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 17^{6}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$2040$	$384$	$5$	$1$	$1$		$2$	$18432$	$1.084892$	$702595369/72900$	$1.00457$	$4.12121$	$[1, 1, 0, -5352, 134316]$	$y^2+xy=x^3+x^2-5352x+134316$	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$	$[]$
8670.g7	8670e3	8670.g	8670e	$8$	$12$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{12} \cdot 3 \cdot 5^{3} \cdot 17^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$2040$	$384$	$5$	$1$	$1$		$1$	$27648$	$1.287626$	$-273359449/1536000$	$1.04920$	$4.27860$	$[1, 1, 0, -3907, -309299]$	$y^2+xy=x^3+x^2-3907x-309299$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$	$[]$
8670.g8	8670e1	8670.g	8670e	$8$	$12$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{4} \cdot 3^{3} \cdot 5 \cdot 17^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$2040$	$384$	$5$	$1$	$1$		$1$	$9216$	$0.738319$	$357911/2160$	$0.99689$	$3.53246$	$[1, 1, 0, 428, 10624]$	$y^2+xy=x^3+x^2+428x+10624$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$	$[]$
8670.h1	8670i1	8670.h	8670i	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{2} \cdot 3^{5} \cdot 5^{2} \cdot 17^{2}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.094149608$	$1$		$28$	$4320$	$0.095879$	$-910904761/24300$	$0.91872$	$2.90500$	$[1, 0, 1, -134, 596]$	$y^2+xy+y=x^3-134x+596$	6.2.0.a.1	$[(3, 13), (-12, 28)]$
8670.i1	8670h1	8670.i	8670h	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{7} \cdot 3^{10} \cdot 5^{7} \cdot 17^{10}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$9$	$3$	$0$	$1799280$	$3.411613$	$-29036780124540841/590490000000$	$1.05534$	$7.30886$	$[1, 0, 1, -80891829, -284914804544]$	$y^2+xy+y=x^3-80891829x-284914804544$	40.2.0.a.1	$[]$
8670.j1	8670k2	8670.j	8670k	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{3} \cdot 3^{4} \cdot 5^{8} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$136$	$12$	$0$	$0.346784162$	$1$		$10$	$12288$	$1.010952$	$451747330217/253125000$	$1.05420$	$3.89694$	$[1, 0, 1, -2718, -9944]$	$y^2+xy+y=x^3-2718x-9944$	2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.?	$[(-40, 207)]$
8670.j2	8670k1	8670.j	8670k	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$136$	$12$	$0$	$0.693568325$	$1$		$7$	$6144$	$0.664378$	$190407092777/360000$	$0.98158$	$3.80167$	$[1, 0, 1, -2038, -35512]$	$y^2+xy+y=x^3-2038x-35512$	2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.?	$[(-26, 5)]$
8670.k1	8670l2	8670.k	8670l	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{9} \cdot 3^{14} \cdot 5^{2} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.726209555$	$1$		$8$	$580608$	$2.759209$	$10901014250685308569/1040774054400$	$1.02506$	$6.70900$	$[1, 0, 1, -13349928, 18771756406]$	$y^2+xy+y=x^3-13349928x+18771756406$	2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.?	$[(2132, 234)]$
8670.k2	8670l1	8670.k	8670l	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{18} \cdot 3^{7} \cdot 5 \cdot 17^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1.452419110$	$1$		$7$	$290304$	$2.412636$	$-2113364608155289/828431400960$	$0.99736$	$5.82331$	$[1, 0, 1, -772648, 338494838]$	$y^2+xy+y=x^3-772648x+338494838$	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(-758, 22487)]$
8670.l1	8670j1	8670.l	8670j	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{6} \cdot 3^{7} \cdot 5^{10} \cdot 17^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.129474812$	$1$		$10$	$30240$	$1.480846$	$-29324621982169/1366875000000$	$1.06237$	$4.53008$	$[1, 0, 1, -4248, -962522]$	$y^2+xy+y=x^3-4248x-962522$	6.2.0.a.1	$[(209, 2595)]$
8670.m1	8670m1	8670.m	8670m	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{5} \cdot 3^{6} \cdot 5 \cdot 17^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$36720$	$1.548532$	$-43713001/116640$	$0.92815$	$4.63005$	$[1, 0, 1, -14023, 1512746]$	$y^2+xy+y=x^3-14023x+1512746$	40.2.0.a.1	$[]$
8670.n1	8670n4	8670.n	8670n	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$9$	$3$	$0$	$248832$	$2.488186$	$15916310615119911121/2210850$	$1.02634$	$6.75074$	$[1, 1, 1, -15145051, -22692117001]$	$y^2+xy+y=x^3+x^2-15145051x-22692117001$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 51.8.0-3.a.1.1, $\ldots$	$[]$
8670.n2	8670n3	8670.n	8670n	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{2} \cdot 3 \cdot 5 \cdot 17^{12}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$9$	$3$	$1$	$124416$	$2.141613$	$-3884775383991601/1448254140$	$0.99304$	$5.83348$	$[1, 1, 1, -946481, -354926677]$	$y^2+xy+y=x^3+x^2-946481x-354926677$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 30.24.0.b.1, $\ldots$	$[]$
8670.n3	8670n2	8670.n	8670n	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 17^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$0$	$82944$	$1.938881$	$31080575499121/1549125000$	$0.96847$	$5.30093$	$[1, 1, 1, -189301, -30384301]$	$y^2+xy+y=x^3+x^2-189301x-30384301$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 51.8.0-3.a.1.2, $\ldots$	$[]$
8670.n4	8670n1	8670.n	8670n	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 17^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$1$	$41472$	$1.592306$	$1723683599/62424000$	$0.97642$	$4.67458$	$[1, 1, 1, 7219, -1849597]$	$y^2+xy+y=x^3+x^2+7219x-1849597$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 30.24.0.b.1, $\ldots$	$[]$
8670.o1	8670p1	8670.o	8670p	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{10} \cdot 3 \cdot 5^{2} \cdot 17^{4}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.063396328$	$1$		$10$	$15840$	$0.968302$	$-2048707405729/76800$	$1.12780$	$4.37614$	$[1, 1, 1, -11566, 473963]$	$y^2+xy+y=x^3+x^2-11566x+473963$	6.2.0.a.1	$[(1, 679)]$
8670.p1	8670o1	8670.p	8670o	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{3} \cdot 3^{10} \cdot 5 \cdot 17^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$22.94709795$	$1$		$0$	$403920$	$2.596989$	$-56136684668636449/2361960$	$1.03040$	$6.75285$	$[1, 1, 1, -15241866, -22910034561]$	$y^2+xy+y=x^3+x^2-15241866x-22910034561$	40.2.0.a.1	$[(180862152967/4607, 66338149481821837/4607)]$
8670.q1	8670s1	8670.q	8670s	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{11} \cdot 3^{2} \cdot 5^{5} \cdot 17^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.051285787$	$1$		$14$	$7920$	$0.640261$	$34822511/57600000$	$1.06670$	$3.41764$	$[1, 1, 1, 45, 6225]$	$y^2+xy+y=x^3+x^2+45x+6225$	40.2.0.a.1	$[(43, 278)]$
8670.r1	8670r3	8670.r	8670r	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2 \cdot 3^{4} \cdot 5^{4} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2040$	$48$	$0$	$2.275524830$	$1$		$0$	$36864$	$1.491982$	$711882749089/1721250$	$1.00970$	$4.88446$	$[1, 1, 1, -53760, -4810113]$	$y^2+xy+y=x^3+x^2-53760x-4810113$	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 136.24.0.?, 2040.48.0.?	$[(1143/2, 13303/2)]$
8670.r2	8670r4	8670.r	8670r	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2 \cdot 3 \cdot 5 \cdot 17^{10}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2040$	$48$	$0$	$9.102099320$	$1$		$0$	$36864$	$1.491982$	$506071034209/2505630$	$0.93940$	$4.84683$	$[1, 1, 1, -47980, 4007855]$	$y^2+xy+y=x^3+x^2-47980x+4007855$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 136.24.0.?, $\ldots$	$[(8995/2, 840437/2)]$
8670.r3	8670r2	8670.r	8670r	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2040$	$48$	$0$	$4.551049660$	$1$		$4$	$18432$	$1.145407$	$454756609/260100$	$1.06745$	$4.07323$	$[1, 1, 1, -4630, -15025]$	$y^2+xy+y=x^3+x^2-4630x-15025$	2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 136.24.0.?, 1020.24.0.?, $\ldots$	$[(2245, 105229)]$
8670.r4	8670r1	8670.r	8670r	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{4} \cdot 3 \cdot 5 \cdot 17^{7}$	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2040$	$48$	$0$	$9.102099320$	$1$		$3$	$9216$	$0.798834$	$6967871/4080$	$0.91966$	$3.61242$	$[1, 1, 1, 1150, -1153]$	$y^2+xy+y=x^3+x^2+1150x-1153$	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 136.24.0.?, 510.6.0.?, $\ldots$	$[(785/16, 192991/16)]$
8670.s1	8670q2	8670.s	8670q	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{5} \cdot 3^{10} \cdot 5^{2} \cdot 17^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.626518544$	$1$		$4$	$217600$	$2.323914$	$339630096833/47239200$	$0.99048$	$5.74021$	$[1, 1, 1, -714125, 202152035]$	$y^2+xy+y=x^3+x^2-714125x+202152035$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.?	$[(33, 13348)]$
8670.s2	8670q1	8670.s	8670q	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{10} \cdot 3^{5} \cdot 5 \cdot 17^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$5.253037089$	$1$		$3$	$108800$	$1.977339$	$347428927/1244160$	$0.97546$	$5.16247$	$[1, 1, 1, 71955, 16951587]$	$y^2+xy+y=x^3+x^2+71955x+16951587$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 510.6.0.?, 2040.12.0.?	$[(315, 8268)]$
8670.t1	8670t1	8670.t	8670t	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{14} \cdot 3^{11} \cdot 5^{2} \cdot 17^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$376992$	$2.653370$	$4589352212399/72559411200$	$1.03977$	$6.07555$	$[1, 1, 1, 661515, 1062713115]$	$y^2+xy+y=x^3+x^2+661515x+1062713115$	6.2.0.a.1	$[]$
8670.u1	8670w1	8670.u	8670w	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{14} \cdot 3^{11} \cdot 5^{2} \cdot 17^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.043517567$	$1$		$16$	$22176$	$1.236763$	$4589352212399/72559411200$	$1.03977$	$4.20083$	$[1, 0, 0, 2289, 216441]$	$y^2+xy=x^3+2289x+216441$	6.2.0.a.1	$[(66, 777)]$
8670.v1	8670v7	8670.v	8670v	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2 \cdot 3^{16} \cdot 5^{4} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.242	2B	$8160$	$768$	$13$	$3.462948728$	$1$		$0$	$589824$	$2.903347$	$161572377633716256481/914742821250$	$1.03379$	$7.00633$	$[1, 0, 0, -32792836, -72282118834]$	$y^2+xy=x^3-32792836x-72282118834$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.4, 16.96.0-16.x.1.3, 68.12.0-4.c.1.1, $\ldots$	$[(-52979/4, 84283/4)]$
8670.v2	8670v4	8670.v	8670v	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{4} \cdot 3 \cdot 5 \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.30	2B	$8160$	$768$	$13$	$3.462948728$	$1$		$2$	$147456$	$2.210201$	$1139466686381936641/4080$	$1.01700$	$6.45995$	$[1, 0, 0, -6288646, 6069408116]$	$y^2+xy=x^3-6288646x+6069408116$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.g.1.1, 32.96.0-32.e.2.15, $\ldots$	$[(2098, 44902)]$
8670.v3	8670v5	8670.v	8670v	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.139	2Cs	$4080$	$768$	$13$	$6.925897456$	$1$		$2$	$294912$	$2.556774$	$41623544884956481/2962701562500$	$1.00549$	$6.09495$	$[1, 0, 0, -2086586, -1086607584]$	$y^2+xy=x^3-2086586x-1086607584$	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.2.6, 68.24.0-4.b.1.1, 136.192.1.?, $\ldots$	$[(17080/3, 1116508/3)]$
8670.v4	8670v3	8670.v	8670v	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{10}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.82	2Cs	$4080$	$768$	$13$	$3.462948728$	$1$		$6$	$147456$	$2.210201$	$330240275458561/67652010000$	$1.06774$	$5.56156$	$[1, 0, 0, -416166, 83020500]$	$y^2+xy=x^3-416166x+83020500$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.6, 68.48.0-4.b.1.1, 120.192.1.?, $\ldots$	$[(806, 16070)]$
8670.v5	8670v2	8670.v	8670v	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.36	2Cs	$4080$	$768$	$13$	$1.731474364$	$1$		$8$	$73728$	$1.863626$	$278202094583041/16646400$	$0.97964$	$5.54265$	$[1, 0, 0, -393046, 94807076]$	$y^2+xy=x^3-393046x+94807076$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.3, 16.96.0-16.d.1.3, 60.24.0-4.b.1.2, $\ldots$	$[(356, 2)]$
8670.v6	8670v1	8670.v	8670v	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{16} \cdot 3 \cdot 5 \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.30	2B	$8160$	$768$	$13$	$0.865737182$	$1$		$5$	$36864$	$1.517052$	$-56667352321/16711680$	$1.00176$	$4.65079$	$[1, 0, 0, -23126, 1661220]$	$y^2+xy=x^3-23126x+1661220$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.g.1.1, 32.96.0-32.e.2.15, $\ldots$	$[(126, 804)]$
8670.v7	8670v6	8670.v	8670v	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{14}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.208	2B	$8160$	$768$	$13$	$6.925897456$	$1$		$2$	$294912$	$2.556774$	$3168685387909439/6278181696900$	$1.01379$	$5.90857$	$[1, 0, 0, 884334, 498400200]$	$y^2+xy=x^3+884334x+498400200$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 16.96.0-8.n.1.3, 60.24.0.h.1, $\ldots$	$[(356, 29120)]$
8670.v8	8670v8	8670.v	8670v	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2 \cdot 3^{4} \cdot 5^{16} \cdot 17^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.96.0.265	2B	$8160$	$768$	$13$	$13.85179491$	$1$		$0$	$589824$	$2.903347$	$31077313442863199/420227050781250$	$1.04291$	$6.40543$	$[1, 0, 0, 1892944, -4740612030]$	$y^2+xy=x^3+1892944x-4740612030$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.1.4, 16.96.0-16.u.1.3, 68.12.0-4.c.1.1, $\ldots$	$[(9649951/78, 22147492307/78)]$
8670.w1	8670u2	8670.w	8670u	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$2^{5} \cdot 3^{10} \cdot 5^{2} \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.146168785$	$1$		$14$	$12800$	$0.907306$	$339630096833/47239200$	$0.99048$	$3.86548$	$[1, 0, 0, -2471, 41001]$	$y^2+xy=x^3-2471x+41001$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.?	$[(58, 277)]$
8670.w2	8670u1	8670.w	8670u	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{10} \cdot 3^{5} \cdot 5 \cdot 17^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.292337571$	$1$		$11$	$6400$	$0.560732$	$347428927/1244160$	$0.97546$	$3.28775$	$[1, 0, 0, 249, 3465]$	$y^2+xy=x^3+249x+3465$	2.3.0.a.1, 120.6.0.?, 136.6.0.?, 510.6.0.?, 2040.12.0.?	$[(6, 69)]$
8670.x1	8670x1	8670.x	8670x	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 17^{2}$	$- 2^{11} \cdot 3^{2} \cdot 5^{5} \cdot 17^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$134640$	$2.056866$	$34822511/57600000$	$1.06670$	$5.29236$	$[1, 0, 0, 12999, 30493305]$	$y^2+xy=x^3+12999x+30493305$	40.2.0.a.1	$[]$

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