Elliptic curves over $\Q$ of conductor 51744

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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
51744.a1	51744n2	51744.a	51744n	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{4} \cdot 7^{8} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$5.224933086$	$1$		$9$	$122880$	$1.095932$	$193100552/43659$	$0.98714$	$3.40817$	$[0, -1, 0, -4720, -95864]$	\(y^2=x^3-x^2-4720x-95864\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(-51, 98), (173, 2058)]$
51744.a2	51744n1	51744.a	51744n	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 7^{7} \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1.306233271$	$1$		$19$	$61440$	$0.749358$	$4410944/7623$	$0.81189$	$2.93164$	$[0, -1, 0, 670, -9624]$	\(y^2=x^3-x^2+670x-9624\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(68, 588), (19, 98)]$
51744.b1	51744bt1	51744.b	51744bt	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{5} \cdot 7^{4} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$1$		$0$	$207360$	$1.196709$	$-18595667776/323433$	$1.07847$	$3.66473$	$[0, -1, 0, -11825, -498399]$	\(y^2=x^3-x^2-11825x-498399\)	132.2.0.?	$[ ]$
51744.c1	51744d1	51744.c	51744d	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{17} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$7.465606123$	$1$		$0$	$1553664$	$2.630737$	$7393553366528/15625959723$	$1.00978$	$5.02042$	$[0, -1, 0, 1164371, 787158373]$	\(y^2=x^3-x^2+1164371x+787158373\)	6.2.0.a.1	$[(-1371/2, 149171/2)]$
51744.d1	51744bs1	51744.d	51744bs	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 7^{4} \cdot 11^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.596500803$	$1$		$12$	$23808$	$0.513665$	$25088/363$	$0.85808$	$2.70956$	$[0, -1, 0, 131, 2773]$	\(y^2=x^3-x^2+131x+2773\)	6.2.0.a.1	$[(-9, 28), (12, 77)]$
51744.e1	51744j2	51744.e	51744j	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{8} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$4$	$2$	$1$	$229376$	$1.606649$	$159220088/72171$	$0.91322$	$3.92824$	$[0, -1, 0, -30984, 987624]$	\(y^2=x^3-x^2-30984x+987624\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
51744.e2	51744j1	51744.e	51744j	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{9} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$114688$	$1.260077$	$13144256/9801$	$0.93538$	$3.50685$	$[0, -1, 0, 6746, 112288]$	\(y^2=x^3-x^2+6746x+112288\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[ ]$
51744.f1	51744bz1	51744.f	51744bz	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.603733129$	$1$		$2$	$209664$	$1.580349$	$-19639251778048/3874403907$	$0.99115$	$3.97192$	$[0, -1, 0, -32909, 2671845]$	\(y^2=x^3-x^2-32909x+2671845\)	6.2.0.a.1	$[(28, 1331)]$
51744.g1	51744l4	51744.g	51744l	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{3} \cdot 7^{8} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$442368$	$1.953871$	$10150654719808/19370043$	$0.95758$	$4.60121$	$[0, -1, 0, -353649, 80932545]$	\(y^2=x^3-x^2-353649x+80932545\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$	$[ ]$
51744.g2	51744l3	51744.g	51744l	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$442368$	$1.953871$	$46477380430664/286446699$	$0.95977$	$4.54980$	$[0, -1, 0, -293624, -60815292]$	\(y^2=x^3-x^2-293624x-60815292\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 28.12.0-4.c.1.2, 88.12.0.?, $\ldots$	$[ ]$
51744.g3	51744l1	51744.g	51744l	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 7^{10} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1848$	$48$	$0$	$1$	$1$		$3$	$221184$	$1.607298$	$377619516352/211789809$	$1.00208$	$3.91480$	$[0, -1, 0, -29514, 352584]$	\(y^2=x^3-x^2-29514x+352584\)	2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 84.24.0.?, 88.12.0.?, $\ldots$	$[ ]$
51744.g4	51744l2	51744.g	51744l	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{3} \cdot 7^{14} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$4$	$2$	$1$	$442368$	$1.953871$	$2866919053816/1712145897$	$1.00194$	$4.29314$	$[0, -1, 0, 116016, 2681064]$	\(y^2=x^3-x^2+116016x+2681064\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.5, 84.12.0.?, $\ldots$	$[ ]$
51744.h1	51744k4	51744.h	51744k	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{5} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$168$	$48$	$0$	$1$	$4$	$2$	$1$	$1105920$	$2.436733$	$6663712298552914184/29403$	$1.06967$	$5.64369$	$[0, -1, 0, -15367984, -23183421176]$	\(y^2=x^3-x^2-15367984x-23183421176\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 56.24.0-8.m.1.2, $\ldots$	$[ ]$
51744.h2	51744k3	51744.h	51744k	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{5} \cdot 7^{6} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$168$	$48$	$0$	$1$	$1$		$1$	$1105920$	$2.436733$	$243578556889408/52089208083$	$1.05700$	$4.89399$	$[0, -1, 0, -1020049, -314515487]$	\(y^2=x^3-x^2-1020049x-314515487\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$	$[ ]$
51744.h3	51744k1	51744.h	51744k	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$552960$	$2.090160$	$13015685560572352/864536409$	$1.06444$	$4.87737$	$[0, -1, 0, -960514, -361988696]$	\(y^2=x^3-x^2-960514x-361988696\)	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$	$[ ]$
51744.h4	51744k2	51744.h	51744k	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{20} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$168$	$48$	$0$	$1$	$1$		$1$	$1105920$	$2.436733$	$-1343891598641864/421900912521$	$1.04688$	$4.89969$	$[0, -1, 0, -901224, -408685500]$	\(y^2=x^3-x^2-901224x-408685500\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$	$[ ]$
51744.i1	51744bw1	51744.i	51744bw	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{5} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$12.09111319$	$1$		$0$	$725760$	$2.083015$	$-11085279718912/29403$	$0.98176$	$4.96788$	$[0, -1, 0, -1332669, -591707115]$	\(y^2=x^3-x^2-1332669x-591707115\)	6.2.0.a.1	$[(423647/11, 258261116/11)]$
51744.j1	51744bv1	51744.j	51744bv	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{13} \cdot 7^{4} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$6.215172469$	$1$		$2$	$179712$	$1.417971$	$14605803968/17537553$	$0.98795$	$3.64640$	$[0, -1, 0, 10911, -458415]$	\(y^2=x^3-x^2+10911x-458415\)	132.2.0.?	$[(947, 29296)]$
51744.k1	51744x4	51744.k	51744x	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 7^{10} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$616$	$48$	$0$	$5.983904507$	$1$		$3$	$196608$	$1.449188$	$266344154504/237699$	$0.92035$	$4.07422$	$[0, -1, 0, -52544, -4614840]$	\(y^2=x^3-x^2-52544x-4614840\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.13, 88.24.0.?, $\ldots$	$[(265, 20)]$
51744.k2	51744x3	51744.k	51744x	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 7^{7} \cdot 11^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$616$	$48$	$0$	$1.495976126$	$1$		$9$	$196608$	$1.449188$	$78073482824/922383$	$0.97119$	$3.96116$	$[0, -1, 0, -34904, 2495844]$	\(y^2=x^3-x^2-34904x+2495844\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.s.1.4, 88.24.0.?, 616.48.0.?	$[(89, 294)]$
51744.k3	51744x1	51744.k	51744x	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{4} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$616$	$48$	$0$	$2.991952253$	$1$		$9$	$98304$	$1.102615$	$964430272/480249$	$0.99437$	$3.36477$	$[0, -1, 0, -4034, -35496]$	\(y^2=x^3-x^2-4034x-35496\)	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.1, 88.24.0.?, 308.24.0.?, $\ldots$	$[(166, 1960)]$
51744.k4	51744x2	51744.k	51744x	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{8} \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$616$	$48$	$0$	$5.983904507$	$1$		$1$	$196608$	$1.449188$	$748613312/505197$	$0.90729$	$3.72459$	$[0, -1, 0, 14831, -288287]$	\(y^2=x^3-x^2+14831x-288287\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.y.1.10, 88.24.0.?, 308.24.0.?, $\ldots$	$[(2329/4, 142155/4)]$
51744.l1	51744bx1	51744.l	51744bx	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.861552140$	$1$		$2$	$139776$	$1.295223$	$-220881472/33$	$0.86824$	$3.97072$	$[0, -1, 0, -36129, 2655633]$	\(y^2=x^3-x^2-36129x+2655633\)	132.2.0.?	$[(131, 392)]$
51744.m1	51744cc1	51744.m	51744cc	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{9} \cdot 7^{2} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$24192$	$0.557795$	$-114709448/216513$	$0.89893$	$2.77663$	$[0, -1, 0, -296, 4152]$	\(y^2=x^3-x^2-296x+4152\)	264.2.0.?	$[ ]$
51744.n1	51744b1	51744.n	51744b	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$3.991354633$	$1$		$2$	$53760$	$0.971169$	$56000/33$	$0.87700$	$3.20785$	$[0, -1, 0, 2287, 4929]$	\(y^2=x^3-x^2+2287x+4929\)	132.2.0.?	$[(79, 820)]$
51744.o1	51744e2	51744.o	51744e	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{4} \cdot 7^{9} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1848$	$48$	$1$	$1$	$1$		$1$	$286720$	$1.821188$	$6859000000/9801$	$1.05212$	$4.46651$	$[0, -1, 0, -217233, -38850111]$	\(y^2=x^3-x^2-217233x-38850111\)	2.3.0.a.1, 4.6.0.e.1, 24.12.0.bv.1, 28.12.0.l.1, 88.12.0.?, $\ldots$	$[ ]$
51744.o2	51744e1	51744.o	51744e	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 7^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1848$	$48$	$1$	$1$	$1$		$1$	$143360$	$1.474615$	$-39304000/131769$	$0.96231$	$3.78428$	$[0, -1, 0, -9718, -957872]$	\(y^2=x^3-x^2-9718x-957872\)	2.3.0.a.1, 4.6.0.e.1, 14.6.0.b.1, 24.12.0.bs.1, 28.12.0.k.1, $\ldots$	$[ ]$
51744.p1	51744a1	51744.p	51744a	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{21} \cdot 7^{8} \cdot 11^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$91.13083908$	$1$		$0$	$7902720$	$3.595158$	$-226591821421000000/1684650343696353$	$1.14239$	$6.12444$	$[0, -1, 0, -36438033, -315025068735]$	\(y^2=x^3-x^2-36438033x-315025068735\)	132.2.0.?	$[(6120681153300070021966661004939791430143/547182530470410791, 448148986951632688051810549032158459187390461130509583914012/547182530470410791)]$
51744.q1	51744cb1	51744.q	51744cb	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$34560$	$0.797641$	$1643032000/297$	$0.96314$	$3.41385$	$[0, -1, 0, -4818, 130320]$	\(y^2=x^3-x^2-4818x+130320\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
51744.q2	51744cb2	51744.q	51744cb	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$264$	$12$	$0$	$1$	$1$		$1$	$69120$	$1.144215$	$-148877000/88209$	$1.12203$	$3.44916$	$[0, -1, 0, -4328, 157368]$	\(y^2=x^3-x^2-4328x+157368\)	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[ ]$
51744.r1	51744p1	51744.r	51744p	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{21} \cdot 7^{2} \cdot 11^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$6.563197322$	$1$		$2$	$1128960$	$2.622204$	$-226591821421000000/1684650343696353$	$1.14239$	$5.04876$	$[0, -1, 0, -743633, -918227967]$	\(y^2=x^3-x^2-743633x-918227967\)	132.2.0.?	$[(4144, 259127)]$
51744.s1	51744o2	51744.s	51744o	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{4} \cdot 7^{3} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1848$	$48$	$1$	$1.986705911$	$1$		$3$	$40960$	$0.848233$	$6859000000/9801$	$1.05212$	$3.39083$	$[0, -1, 0, -4433, -111999]$	\(y^2=x^3-x^2-4433x-111999\)	2.3.0.a.1, 4.6.0.e.1, 24.12.0.bv.1, 28.12.0.l.1, 88.12.0.?, $\ldots$	$[(107, 792)]$
51744.s2	51744o1	51744.s	51744o	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 7^{3} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1848$	$48$	$1$	$0.993352955$	$1$		$7$	$20480$	$0.501660$	$-39304000/131769$	$0.96231$	$2.70861$	$[0, -1, 0, -198, -2736]$	\(y^2=x^3-x^2-198x-2736\)	2.3.0.a.1, 4.6.0.e.1, 14.6.0.b.1, 24.12.0.bs.1, 28.12.0.k.1, $\ldots$	$[(30, 132)]$
51744.t1	51744q1	51744.t	51744q	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.926812041$	$1$		$2$	$7680$	$-0.001785$	$56000/33$	$0.87700$	$2.13217$	$[0, -1, 0, 47, 1]$	\(y^2=x^3-x^2+47x+1\)	132.2.0.?	$[(0, 1)]$
51744.u1	51744ca2	51744.u	51744ca	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{12} \cdot 7^{12} \cdot 11^{5} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$7741440$	$3.379349$	$943259332190261813000/10069472554261659$	$1.03532$	$6.09999$	$[0, -1, 0, -80091888, -273303648540]$	\(y^2=x^3-x^2-80091888x-273303648540\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[ ]$
51744.u2	51744ca1	51744.u	51744ca	$2$	$2$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{6} \cdot 7^{9} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$3870720$	$3.032776$	$-23942656868248000/6485575209206247$	$1.08842$	$5.50020$	$[0, -1, 0, -1176898, -10642995824]$	\(y^2=x^3-x^2-1176898x-10642995824\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[ ]$
51744.v1	51744c1	51744.v	51744c	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{9} \cdot 7^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1.902154536$	$1$		$2$	$169344$	$1.530750$	$-114709448/216513$	$0.89893$	$3.85230$	$[0, -1, 0, -14520, 1395108]$	\(y^2=x^3-x^2-14520x+1395108\)	264.2.0.?	$[(-16, 1274)]$
51744.w1	51744i1	51744.w	51744i	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 11 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1.000100283$	$1$		$10$	$19968$	$0.322268$	$-220881472/33$	$0.86824$	$2.89504$	$[0, -1, 0, -737, 7953]$	\(y^2=x^3-x^2-737x+7953\)	132.2.0.?	$[(13, 20), (21, 36)]$
51744.x1	51744g4	51744.x	51744g	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3 \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$4$	$2$	$1$	$147456$	$1.398684$	$3232601019656/231$	$0.94081$	$4.30420$	$[0, -1, 0, -120752, 16190952]$	\(y^2=x^3-x^2-120752x+16190952\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.5, 88.12.0.?, $\ldots$	$[ ]$
51744.x2	51744g3	51744.x	51744g	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{4} \cdot 7^{10} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.398684$	$3989418056/2139291$	$0.93069$	$3.68716$	$[0, -1, 0, -12952, -149372]$	\(y^2=x^3-x^2-12952x-149372\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 88.12.0.?, $\ldots$	$[ ]$
51744.x3	51744g1	51744.x	51744g	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{2} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1848$	$48$	$0$	$1$	$1$		$3$	$73728$	$1.052109$	$6352182208/53361$	$0.88613$	$3.53844$	$[0, -1, 0, -7562, 253800]$	\(y^2=x^3-x^2-7562x+253800\)	2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 84.24.0.?, 88.12.0.?, $\ldots$	$[ ]$
51744.x4	51744g2	51744.x	51744g	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3 \cdot 7^{7} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.398684$	$-3241792/307461$	$1.12326$	$3.69356$	$[0, -1, 0, -2417, 588225]$	\(y^2=x^3-x^2-2417x+588225\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$	$[ ]$
51744.y1	51744f1	51744.y	51744f	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{13} \cdot 7^{10} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$1$	$4$	$2$	$0$	$1257984$	$2.390926$	$14605803968/17537553$	$0.98795$	$4.72208$	$[0, -1, 0, 534623, -156167087]$	\(y^2=x^3-x^2+534623x-156167087\)	132.2.0.?	$[ ]$
51744.z1	51744h1	51744.z	51744h	$1$	$1$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$103680$	$1.110060$	$-11085279718912/29403$	$0.98176$	$3.89220$	$[0, -1, 0, -27197, -1717323]$	\(y^2=x^3-x^2-27197x-1717323\)	6.2.0.a.1	$[ ]$
51744.ba1	51744by4	51744.ba	51744by	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$616$	$48$	$0$	$2.148705712$	$1$		$3$	$98304$	$1.158175$	$4004529472/99$	$0.97266$	$3.87909$	$[0, -1, 0, -25937, -1599135]$	\(y^2=x^3-x^2-25937x-1599135\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.2, 44.12.0.h.1, $\ldots$	$[(257, 2940)]$
51744.ba2	51744by3	51744.ba	51744by	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{8} \cdot 7^{6} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$616$	$48$	$0$	$2.148705712$	$1$		$3$	$98304$	$1.158175$	$649461896/72171$	$0.94560$	$3.51992$	$[0, -1, 0, -7072, 208132]$	\(y^2=x^3-x^2-7072x+208132\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.1, 88.24.0.?, $\ldots$	$[(33, 98)]$
51744.ba3	51744by1	51744.ba	51744by	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{4} \cdot 7^{6} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$616$	$48$	$0$	$4.297411424$	$1$		$5$	$49152$	$0.811602$	$69934528/9801$	$0.93038$	$3.12302$	$[0, -1, 0, -1682, -22560]$	\(y^2=x^3-x^2-1682x-22560\)	2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 44.12.0.a.1, 56.24.0-8.b.1.2, $\ldots$	$[(322, 5720)]$
51744.ba4	51744by2	51744.ba	51744by	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( - 2^{9} \cdot 3^{2} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$616$	$48$	$0$	$8.594822849$	$1$		$1$	$98304$	$1.158175$	$37259704/131769$	$0.96426$	$3.40689$	$[0, -1, 0, 2728, -124872]$	\(y^2=x^3-x^2+2728x-124872\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.1, 56.24.0-8.d.1.1, $\ldots$	$[(21481/20, 3333421/20)]$
51744.bb1	51744v4	51744.bb	51744v	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$616$	$48$	$0$	$25.75709238$	$1$		$1$	$491520$	$2.043980$	$29925549856274696/4851$	$0.99558$	$5.14566$	$[0, -1, 0, -2535472, -1553102648]$	\(y^2=x^3-x^2-2535472x-1553102648\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.2, 88.24.0.?, $\ldots$	$[(108166553481/7025, 20257358743111496/7025)]$
51744.bb2	51744v3	51744.bb	51744v	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{2} \cdot 7^{14} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$616$	$48$	$0$	$6.439273096$	$1$		$1$	$491520$	$2.043980$	$1400416996672/570715299$	$1.03227$	$4.41872$	$[0, -1, 0, -182737, -16291295]$	\(y^2=x^3-x^2-182737x-16291295\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.1, 44.12.0.h.1, $\ldots$	$[(-5471/4, 158025/4)]$

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