Elliptic curves over $\Q$ of conductor 271440

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

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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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
271440.a1	271440a2	271440.a	271440a	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 13 \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$13.56999952$	$1$		$2$	$8398080$	$2.474300$	$2703825676414184390656/39632125$	$[0, 0, 0, -16585968, -25999161892]$	\(y^2=x^3-16585968x-25999161892\)
271440.a2	271440a1	271440.a	271440a	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 13^{3} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4.523333175$	$1$		$2$	$2799360$	$1.924994$	$5177921645510656/124439453125$	$[0, 0, 0, -205968, -35223892]$	\(y^2=x^3-205968x-35223892\)
271440.b1	271440b1	271440.b	271440b	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{20} \cdot 3^{8} \cdot 5 \cdot 13^{3} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$2654208$	$2.003517$	$764579942079121/21285239040$	$[0, 0, 0, -274323, -53955502]$	\(y^2=x^3-274323x-53955502\)
271440.b2	271440b2	271440.b	271440b	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 13^{6} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$5308416$	$2.350090$	$7903193128559/4535269736400$	$[0, 0, 0, 59757, -176963758]$	\(y^2=x^3+59757x-176963758\)
271440.c1	271440c1	271440.c	271440c	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 13 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$10.44129529$	$1$		$1$	$368640$	$0.814621$	$1690201440256/152685$	$[0, 0, 0, -5628, -162497]$	\(y^2=x^3-5628x-162497\)
271440.c2	271440c2	271440.c	271440c	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$5.220647649$	$1$		$3$	$737280$	$1.161196$	$-84433792336/31979025$	$[0, 0, 0, -5223, -186878]$	\(y^2=x^3-5223x-186878\)
271440.d1	271440d2	271440.d	271440d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$7520256$	$2.561371$	$35283356390293803/444153125000$	$[0, 0, 0, -2951883, -1930728582]$	\(y^2=x^3-2951883x-1930728582\)
271440.d2	271440d1	271440.d	271440d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{18} \cdot 3^{9} \cdot 5^{4} \cdot 13^{4} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$3760128$	$2.214798$	$-43132764843/33130760000$	$[0, 0, 0, -31563, -78661638]$	\(y^2=x^3-31563x-78661638\)
271440.e1	271440e1	271440.e	271440e	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 13 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$950400$	$1.528919$	$-17175508997401/9425000$	$[0, 0, 0, -77403, -8292598]$	\(y^2=x^3-77403x-8292598\)
271440.f1	271440f1	271440.f	271440f	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 13^{2} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$368640$	$0.767900$	$-8069733376/73515$	$[0, 0, 0, -2388, -45268]$	\(y^2=x^3-2388x-45268\)
271440.g1	271440g1	271440.g	271440g	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{13} \cdot 13 \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6.466178808$	$1$		$2$	$2635776$	$1.939598$	$-2619826298606592/13345947265625$	$[0, 0, 0, -54708, -15420532]$	\(y^2=x^3-54708x-15420532\)
271440.h1	271440h1	271440.h	271440h	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4.845266201$	$1$		$0$	$345600$	$1.030832$	$209240544256/1585285$	$[0, 0, 0, -7068, 227212]$	\(y^2=x^3-7068x+227212\)
271440.i1	271440i1	271440.i	271440i	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.760105576$	$1$		$2$	$132096$	$0.494281$	$-11203633152/54665$	$[0, 0, 0, -888, -10228]$	\(y^2=x^3-888x-10228\)
271440.j1	271440j1	271440.j	271440j	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 13^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$196608$	$0.749385$	$139094654976/710645$	$[0, 0, 0, -2448, -46413]$	\(y^2=x^3-2448x-46413\)
271440.j2	271440j2	271440.j	271440j	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$393216$	$1.095959$	$-884901456/20706725$	$[0, 0, 0, -1143, -95742]$	\(y^2=x^3-1143x-95742\)
271440.k1	271440k2	271440.k	271440k	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{13} \cdot 3^{9} \cdot 5^{6} \cdot 13 \cdot 29 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1.734043232$	$1$		$8$	$3234816$	$2.127438$	$-6083088015781323/11781250$	$[0, 0, 0, -1642923, 810540378]$	\(y^2=x^3-1642923x+810540378\)
271440.k2	271440k1	271440.k	271440k	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \cdot 29^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$0.192671470$	$1$		$24$	$1078272$	$1.578133$	$-2913790403187/10716526600$	$[0, 0, 0, -14283, 1781882]$	\(y^2=x^3-14283x+1781882\)
271440.l1	271440l1	271440.l	271440l	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{33} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2.407419135$	$1$		$4$	$113218560$	$4.030434$	$-1251701744499641551742491347/13559824919198275993600$	$[0, 0, 0, -1077705963, -13744402884838]$	\(y^2=x^3-1077705963x-13744402884838\)
271440.l2	271440l2	271440.l	271440l	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{19} \cdot 3^{9} \cdot 5^{6} \cdot 13^{3} \cdot 29^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7.222257406$	$1$		$2$	$339655680$	$4.579742$	$62898697943298124177490037/63744399417968386000000$	$[0, 0, 0, 3579230997, -71436513206502]$	\(y^2=x^3+3579230997x-71436513206502\)
271440.m1	271440m1	271440.m	271440m	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$2.345263208$	$1$		$5$	$344064$	$1.087179$	$13378610007376/9425$	$[0, 0, 0, -28263, 1828838]$	\(y^2=x^3-28263x+1828838\)
271440.m2	271440m2	271440.m	271440m	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1.172631604$	$1$		$7$	$688128$	$1.433752$	$-3281154851524/88830625$	$[0, 0, 0, -28083, 1853282]$	\(y^2=x^3-28083x+1853282\)
271440.n1	271440n1	271440.n	271440n	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{11} \cdot 3^{19} \cdot 5^{4} \cdot 13^{3} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.981130224$	$1$		$2$	$7188480$	$2.514187$	$5809117569025678/63486938311875$	$[0, 0, 0, 428037, 455842762]$	\(y^2=x^3+428037x+455842762\)
271440.o1	271440o1	271440.o	271440o	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{23} \cdot 3^{3} \cdot 5^{2} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.870153888$	$1$		$4$	$371712$	$1.053049$	$20956092093/19302400$	$[0, 0, 0, 2757, 42858]$	\(y^2=x^3+2757x+42858\)
271440.p1	271440p1	271440.p	271440p	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{17} \cdot 3^{7} \cdot 5^{4} \cdot 13 \cdot 29^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.252149698$	$1$		$6$	$9523200$	$2.687996$	$-13611534355369215721/15998696220000$	$[0, 0, 0, -7162923, 7386252122]$	\(y^2=x^3-7162923x+7386252122\)
271440.q1	271440q1	271440.q	271440q	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{12} \cdot 3^{9} \cdot 5 \cdot 13^{5} \cdot 29^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$4147200$	$2.356457$	$-913621755765293056/42154750755$	$[0, 0, 0, -2911008, -1911747472]$	\(y^2=x^3-2911008x-1911747472\)
271440.r1	271440r1	271440.r	271440r	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{12} \cdot 3^{9} \cdot 5 \cdot 13 \cdot 29^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$1271808$	$1.666826$	$452984832/45973265$	$[0, 0, 0, 6912, 2920752]$	\(y^2=x^3+6912x+2920752\)
271440.s1	271440s1	271440.s	271440s	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{8} \cdot 3^{11} \cdot 5 \cdot 13^{3} \cdot 29^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$829440$	$1.485222$	$26556760064/2244927555$	$[0, 0, 0, 3552, -981412]$	\(y^2=x^3+3552x-981412\)
271440.t1	271440t2	271440.t	271440t	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 13^{3} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.349900090$	$1$		$15$	$4718592$	$2.204449$	$10868685473848063696/3741545925$	$[0, 0, 0, -2637183, 1648383982]$	\(y^2=x^3-2637183x+1648383982\)
271440.t2	271440t1	271440.t	271440t	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{6} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5.399600362$	$1$		$7$	$2359296$	$1.857876$	$43025578182363136/787373218125$	$[0, 0, 0, -165558, 25515007]$	\(y^2=x^3-165558x+25515007\)
271440.u1	271440u4	271440.u	271440u	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{15} \cdot 3^{9} \cdot 5^{3} \cdot 13^{8} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$21.62076060$	$1$		$1$	$53084160$	$3.529240$	$8057323694463985606146481/638717154543000$	$[0, 0, 0, -601429683, -5677084671118]$	\(y^2=x^3-601429683x-5677084671118\)
271440.u2	271440u2	271440.u	271440u	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{18} \cdot 3^{12} \cdot 5^{6} \cdot 13^{4} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$10.81038030$	$1$		$3$	$26542080$	$3.182667$	$1979758117698975186481/17510434929000000$	$[0, 0, 0, -37669683, -88306287118]$	\(y^2=x^3-37669683x-88306287118\)
271440.u3	271440u3	271440.u	271440u	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{12} \cdot 13^{2} \cdot 29^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$21.62076060$	$1$		$1$	$53084160$	$3.529240$	$-54681655838565466801/6303365630859375000$	$[0, 0, 0, -11386803, -209254844302]$	\(y^2=x^3-11386803x-209254844302\)
271440.u4	271440u1	271440.u	271440u	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{24} \cdot 3^{18} \cdot 5^{3} \cdot 13^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$5.405190150$	$1$		$3$	$13271040$	$2.836090$	$2510581756496128561/1333551278592000$	$[0, 0, 0, -4077363, 908196338]$	\(y^2=x^3-4077363x+908196338\)
271440.v1	271440v1	271440.v	271440v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{20} \cdot 3^{12} \cdot 5 \cdot 13 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$1474560$	$1.885349$	$63812982460681/10201800960$	$[0, 0, 0, -119883, 13591802]$	\(y^2=x^3-119883x+13591802\)
271440.v2	271440v2	271440.v	271440v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{16} \cdot 3^{18} \cdot 5^{2} \cdot 13^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$2949120$	$2.231922$	$363979050334199/1041836936400$	$[0, 0, 0, 214197, 75797498]$	\(y^2=x^3+214197x+75797498\)
271440.w1	271440w3	271440.w	271440w	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 13 \cdot 29^{4} \)	$2$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3.401130358$	$1$		$23$	$1769472$	$1.886290$	$3966652437499442/689598975$	$[0, 0, 0, -376923, 89055722]$	\(y^2=x^3-376923x+89055722\)
271440.w2	271440w4	271440.w	271440w	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{11} \cdot 3^{10} \cdot 5^{8} \cdot 13 \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$13.60452143$	$1$		$7$	$1769472$	$1.886290$	$312850560793682/11928515625$	$[0, 0, 0, -161643, -24175942]$	\(y^2=x^3-161643x-24175942\)
271440.w3	271440w2	271440.w	271440w	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \cdot 29^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$3.401130358$	$1$		$23$	$884736$	$1.539717$	$2580786074884/799475625$	$[0, 0, 0, -25923, 1095122]$	\(y^2=x^3-25923x+1095122\)
271440.w4	271440w1	271440.w	271440w	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 13^{4} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3.401130358$	$1$		$13$	$442368$	$1.193142$	$53892071984/62120175$	$[0, 0, 0, 4497, 115598]$	\(y^2=x^3+4497x+115598\)
271440.x1	271440x6	271440.x	271440x	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 13^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$1$	$1$		$1$	$31457280$	$3.282951$	$217764763259392950709681/191615146362900$	$[0, 0, 0, -180488883, -933304735118]$	\(y^2=x^3-180488883x-933304735118\)
271440.x2	271440x4	271440.x	271440x	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{16} \cdot 3^{14} \cdot 5^{4} \cdot 13^{4} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$1$	$1$		$3$	$15728640$	$2.936378$	$54309086480107021681/1575939143610000$	$[0, 0, 0, -11360883, -14364659918]$	\(y^2=x^3-11360883x-14364659918\)
271440.x3	271440x2	271440.x	271440x	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{20} \cdot 3^{10} \cdot 5^{2} \cdot 13^{2} \cdot 29^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$1$	$1$		$3$	$7864320$	$2.589806$	$173294065906331761/61964605497600$	$[0, 0, 0, -1672563, 514661938]$	\(y^2=x^3-1672563x+514661938\)
271440.x4	271440x1	271440.x	271440x	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{28} \cdot 3^{8} \cdot 5 \cdot 13 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$1$	$1$		$1$	$3932160$	$2.243229$	$122083727651299441/32242728960$	$[0, 0, 0, -1488243, 698650162]$	\(y^2=x^3-1488243x+698650162\)
271440.x5	271440x5	271440.x	271440x	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{14} \cdot 3^{22} \cdot 5^{8} \cdot 13^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$1$	$4$	$2$	$1$	$31457280$	$3.282951$	$773618103830753999/329643718157812500$	$[0, 0, 0, 2753997, -47701183502]$	\(y^2=x^3+2753997x-47701183502\)
271440.x6	271440x3	271440.x	271440x	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{16} \cdot 3^{8} \cdot 5 \cdot 13 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$1$	$4$	$2$	$1$	$15728640$	$2.936378$	$4817210305461175439/4682306425314960$	$[0, 0, 0, 5066637, 3618737458]$	\(y^2=x^3+5066637x+3618737458\)
271440.y1	271440y1	271440.y	271440y	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 29^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$478080$	$1.058653$	$743389918/1585285$	$[0, 0, 0, 2157, -63182]$	\(y^2=x^3+2157x-63182\)
271440.z1	271440z1	271440.z	271440z	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{3} \cdot 13^{2} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$552960$	$1.306448$	$-4096/16540875$	$[0, 0, 0, -48, -338128]$	\(y^2=x^3-48x-338128\)
271440.ba1	271440ba2	271440.ba	271440ba	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.569926208$	$1$		$19$	$221184$	$0.956626$	$28355811844/122525$	$[0, 0, 0, -5763, 167762]$	\(y^2=x^3-5763x+167762\)
271440.ba2	271440ba1	271440.ba	271440ba	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6.279704834$	$1$		$9$	$110592$	$0.610052$	$94875856/54665$	$[0, 0, 0, -543, -322]$	\(y^2=x^3-543x-322\)
271440.bb1	271440bb1	271440.bb	271440bb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 13 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$6.760574101$	$1$		$1$	$663552$	$1.453058$	$26775969499365376/3817125$	$[0, 0, 0, -141348, 20454203]$	\(y^2=x^3-141348x+20454203\)