LMFDB - Elliptic curves over $\Q$ of conductor 5202

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Conductor	Discriminant	j-invariant	Rank

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Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

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Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Results (36 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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
5202.a1	5202f1	5202.a	5202f	$1$	$1$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{7} \cdot 17^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$0.284993272$	$1$		$8$	$4032$	$0.380898$	$-289/12$	$1.03664$	$3.25799$	$[1, -1, 0, -54, -1296]$	$y^2+xy=x^3-x^2-54x-1296$	6.2.0.a.1	$[(30, 138)]$
5202.b1	5202c2	5202.b	5202c	$2$	$3$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{9} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.36.0.9	3B	$1224$	$144$	$2$	$1$	$1$		$0$	$54432$	$1.751852$	$-843137281012581793/216$	$1.08401$	$6.25631$	$[1, -1, 0, -1171116, 488099848]$	$y^2+xy=x^3-x^2-1171116x+488099848$	3.4.0.a.1, 9.36.0.f.1, 24.8.0.d.1, 51.8.0-3.a.1.2, 72.72.2.?, $\ldots$	$[]$
5202.b2	5202c1	5202.b	5202c	$2$	$3$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{9} \cdot 3^{15} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.36.0.7	3B	$1224$	$144$	$2$	$1$	$1$		$0$	$18144$	$1.202545$	$-1579268174113/10077696$	$1.03714$	$4.71637$	$[1, -1, 0, -14436, 674896]$	$y^2+xy=x^3-x^2-14436x+674896$	3.4.0.a.1, 9.36.0.f.2, 24.8.0.d.1, 51.8.0-3.a.1.1, 72.72.2.?, $\ldots$	$[]$
5202.c1	5202b5	5202.c	5202b	$6$	$8$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2 \cdot 3^{8} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.213	2B	$816$	$192$	$1$	$1$	$1$		$0$	$294912$	$2.812992$	$2361739090258884097/5202$	$1.06083$	$7.70111$	$[1, -1, 0, -72162198, 235964108794]$	$y^2+xy=x^3-x^2-72162198x+235964108794$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.2, 24.48.0-8.r.1.3, $\ldots$	$[]$
5202.c2	5202b3	5202.c	5202b	$6$	$8$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{10} \cdot 17^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.137	2Cs	$408$	$192$	$1$	$1$	$1$		$2$	$147456$	$2.466419$	$576615941610337/27060804$	$1.03156$	$6.72905$	$[1, -1, 0, -4510188, 3687697660]$	$y^2+xy=x^3-x^2-4510188x+3687697660$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 24.96.0-8.e.1.2, 136.96.1.?, $\ldots$	$[]$
5202.c3	5202b6	5202.c	5202b	$6$	$8$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2 \cdot 3^{8} \cdot 17^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.224	2B	$816$	$192$	$1$	$1$	$1$		$0$	$294912$	$2.812992$	$-491411892194497/125563633938$	$1.03624$	$6.75311$	$[1, -1, 0, -4276098, 4087382926]$	$y^2+xy=x^3-x^2-4276098x+4087382926$	2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 48.96.0-8.m.2.3, 204.12.0.?, $\ldots$	$[]$
5202.c4	5202b2	5202.c	5202b	$6$	$8$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{4} \cdot 3^{14} \cdot 17^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.89	2Cs	$408$	$192$	$1$	$1$	$1$		$2$	$73728$	$2.119843$	$163936758817/30338064$	$1.07571$	$5.77479$	$[1, -1, 0, -296568, 51343600]$	$y^2+xy=x^3-x^2-296568x+51343600$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 12.24.0-4.b.1.2, 24.96.0-8.h.2.8, $\ldots$	$[]$
5202.c5	5202b1	5202.c	5202b	$6$	$8$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{8} \cdot 3^{10} \cdot 17^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.101	2B	$816$	$192$	$1$	$1$	$1$		$1$	$36864$	$1.773270$	$4354703137/352512$	$1.05192$	$5.35077$	$[1, -1, 0, -88488, -9374144]$	$y^2+xy=x^3-x^2-88488x-9374144$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0.bb.1, $\ldots$	$[]$
5202.c6	5202b4	5202.c	5202b	$6$	$8$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{22} \cdot 17^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.132	2B	$816$	$192$	$1$	$1$	$1$		$0$	$147456$	$2.466419$	$1276229915423/2927177028$	$1.03010$	$6.14157$	$[1, -1, 0, 587772, 298428196]$	$y^2+xy=x^3-x^2+587772x+298428196$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.y.2, $\ldots$	$[]$
5202.d1	5202a4	5202.d	5202a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2 \cdot 3^{6} \cdot 17^{12} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1$	$4$	$2$	$0$	$82944$	$2.145401$	$159661140625/48275138$	$1.06848$	$5.77170$	$[1, -1, 0, -293967, 42466387]$	$y^2+xy=x^3-x^2-293967x+42466387$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.11, $\ldots$	$[]$
5202.d2	5202a3	5202.d	5202a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{6} \cdot 17^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1$	$1$		$1$	$41472$	$1.798826$	$120920208625/19652$	$0.98564$	$5.73922$	$[1, -1, 0, -267957, 53447809]$	$y^2+xy=x^3-x^2-267957x+53447809$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.c.1, 24.48.0-24.bw.1.2, $\ldots$	$[]$
5202.d3	5202a2	5202.d	5202a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{3} \cdot 3^{6} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1$	$4$	$2$	$0$	$27648$	$1.596094$	$8805624625/2312$	$0.96590$	$5.43306$	$[1, -1, 0, -111897, -14375867]$	$y^2+xy=x^3-x^2-111897x-14375867$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.5, $\ldots$	$[]$
5202.d4	5202a1	5202.d	5202a	$4$	$6$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{6} \cdot 3^{6} \cdot 17^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1$	$1$		$1$	$13824$	$1.249521$	$3048625/1088$	$0.90010$	$4.50182$	$[1, -1, 0, -7857, -164003]$	$y^2+xy=x^3-x^2-7857x-164003$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.c.1, 24.48.0-24.bw.1.6, $\ldots$	$[]$
5202.e1	5202e2	5202.e	5202e	$2$	$3$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{9} \cdot 17^{8} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	9.72.0.10	3B.1.1	$72$	$144$	$2$	$11.36818345$	$1$		$2$	$925344$	$3.168457$	$-843137281012581793/216$	$1.08401$	$8.24295$	$[1, -1, 0, -338452578, 2396680742988]$	$y^2+xy=x^3-x^2-338452578x+2396680742988$	3.8.0-3.a.1.2, 9.72.0-9.f.1.1, 24.16.0-24.d.1.8, 72.144.2.?	$[(47735439/67, -951548268/67)]$
5202.e2	5202e1	5202.e	5202e	$2$	$3$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{9} \cdot 3^{15} \cdot 17^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	9.72.0.14	3B.1.2	$72$	$144$	$2$	$3.789394486$	$1$		$2$	$308448$	$2.619152$	$-1579268174113/10077696$	$1.03714$	$6.70301$	$[1, -1, 0, -4172058, 3299075892]$	$y^2+xy=x^3-x^2-4172058x+3299075892$	3.8.0-3.a.1.1, 9.72.0-9.f.2.1, 24.16.0-24.d.1.7, 72.144.2.?	$[(1887, 45348)]$
5202.f1	5202d1	5202.f	5202d	$1$	$1$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{7} \cdot 17^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$68544$	$1.797504$	$-289/12$	$1.03664$	$5.24463$	$[1, -1, 0, -15660, -6429812]$	$y^2+xy=x^3-x^2-15660x-6429812$	6.2.0.a.1	$[]$
5202.g1	5202l1	5202.g	5202l	$2$	$2$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{8} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$136$	$12$	$0$	$2.141265969$	$1$		$3$	$18432$	$1.202385$	$1771561/612$	$1.28490$	$4.43838$	$[1, -1, 1, -6557, -128095]$	$y^2+xy+y=x^3-x^2-6557x-128095$	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[(1203, 41014)]$
5202.g2	5202l2	5202.g	5202l	$2$	$2$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2 \cdot 3^{10} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$136$	$12$	$0$	$4.282531938$	$1$		$0$	$36864$	$1.548958$	$46268279/46818$	$0.94894$	$4.81967$	$[1, -1, 1, 19453, -908395]$	$y^2+xy+y=x^3-x^2+19453x-908395$	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(4795/2, 329285/2)]$
5202.h1	5202k4	5202.h	5202k	$4$	$10$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2 \cdot 3^{26} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	8.6.0.2, 5.6.0.1	2B, 5B	$2040$	$288$	$5$	$6.976569698$	$1$		$0$	$51200$	$1.919567$	$211293405175481/6973568802$	$1.13518$	$5.61841$	$[1, -1, 1, -189851, 30965721]$	$y^2+xy+y=x^3-x^2-189851x+30965721$	2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.18.0.a.1, 20.36.0.b.2, $\ldots$	$[(699/2, 13389/2)]$
5202.h2	5202k3	5202.h	5202k	$4$	$10$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{16} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	8.6.0.2, 5.6.0.1	2B, 5B	$2040$	$288$	$5$	$3.488284849$	$1$		$3$	$25600$	$1.572992$	$206226044828441/236196$	$1.07449$	$5.61557$	$[1, -1, 1, -188321, 31502445]$	$y^2+xy+y=x^3-x^2-188321x+31502445$	2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.36.0.b.1, 34.6.0.a.1, $\ldots$	$[(179, 1782)]$
5202.h3	5202k2	5202.h	5202k	$4$	$10$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{5} \cdot 3^{10} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	8.6.0.2, 5.6.0.1	2B, 5B	$2040$	$288$	$5$	$1.395313939$	$1$		$6$	$10240$	$1.114847$	$551569744601/2592$	$1.20056$	$4.92326$	$[1, -1, 1, -26141, -1620219]$	$y^2+xy+y=x^3-x^2-26141x-1620219$	2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.18.0.a.1, 20.36.0.b.1, $\ldots$	$[(-93, 48)]$
5202.h4	5202k1	5202.h	5202k	$4$	$10$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{10} \cdot 3^{8} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	8.6.0.2, 5.6.0.1	2B, 5B	$2040$	$288$	$5$	$0.697656969$	$1$		$9$	$5120$	$0.768274$	$141420761/9216$	$0.99890$	$3.95692$	$[1, -1, 1, -1661, -24123]$	$y^2+xy+y=x^3-x^2-1661x-24123$	2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.36.0.b.2, 34.6.0.a.1, $\ldots$	$[(-25, 48)]$
5202.i1	5202i1	5202.i	5202i	$1$	$1$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{7} \cdot 3^{7} \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24$	$2$	$0$	$0.118973666$	$1$		$10$	$2016$	$0.196987$	$5831/384$	$1.01027$	$2.99816$	$[1, -1, 1, 22, 425]$	$y^2+xy+y=x^3-x^2+22x+425$	24.2.0.b.1	$[(-3, 19)]$
5202.j1	5202h3	5202.j	5202h	$4$	$6$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{18} \cdot 3^{8} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.4, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$0.901912925$	$1$		$9$	$165888$	$2.607338$	$46753267515625/11591221248$	$1.08666$	$6.43545$	$[1, -1, 1, -1952105, 794166441]$	$y^2+xy+y=x^3-x^2-1952105x+794166441$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.d.1, 24.48.0-24.bx.1.2, $\ldots$	$[(387, 9632)]$
5202.j2	5202h1	5202.j	5202h	$4$	$6$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{6} \cdot 3^{12} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.4, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$2.705738775$	$1$		$3$	$55296$	$2.058033$	$1845026709625/793152$	$1.00293$	$6.05769$	$[1, -1, 1, -664610, -208300575]$	$y^2+xy+y=x^3-x^2-664610x-208300575$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.d.1, 24.48.0-24.bx.1.6, $\ldots$	$[(2291, 100293)]$
5202.j3	5202h2	5202.j	5202h	$4$	$6$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{18} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.5, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$5.411477551$	$1$		$0$	$110592$	$2.404606$	$-1107111813625/1228691592$	$1.01884$	$6.12315$	$[1, -1, 1, -560570, -275801727]$	$y^2+xy+y=x^3-x^2-560570x-275801727$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.5, $\ldots$	$[(20551/3, 2715527/3)]$
5202.j4	5202h4	5202.j	5202h	$4$	$6$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{9} \cdot 3^{10} \cdot 17^{12} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.5, 3.4.0.1	2B, 3B	$408$	$96$	$1$	$1.803825850$	$1$		$6$	$331776$	$2.953911$	$655215969476375/1001033261568$	$1.05358$	$6.80180$	$[1, -1, 1, 4706455, 5031674025]$	$y^2+xy+y=x^3-x^2+4706455x+5031674025$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.11, $\ldots$	$[(-565, 47100)]$
5202.k1	5202m2	5202.k	5202m	$2$	$3$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{18} \cdot 3^{7} \cdot 17^{8} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.1	3B.1.1	$18$	$48$	$0$	$1$	$1$		$2$	$88128$	$2.297836$	$-4999353625/786432$	$1.12790$	$6.05722$	$[1, -1, 1, -612590, 208274429]$	$y^2+xy+y=x^3-x^2-612590x+208274429$	3.8.0-3.a.1.2, 6.16.0-6.b.1.2, 18.48.0-18.c.1.2	$[]$
5202.k2	5202m1	5202.k	5202m	$2$	$3$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{6} \cdot 3^{9} \cdot 17^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.2	3B.1.2	$6$	$48$	$0$	$1$	$1$		$0$	$29376$	$1.748531$	$2828375/1728$	$1.02006$	$5.15527$	$[1, -1, 1, 50665, -1048849]$	$y^2+xy+y=x^3-x^2+50665x-1048849$	3.8.0-3.a.1.1, 6.48.0-6.c.1.1	$[]$
5202.l1	5202g2	5202.l	5202g	$2$	$3$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{18} \cdot 3^{7} \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$306$	$48$	$0$	$0.081153105$	$1$		$12$	$5184$	$0.881230$	$-4999353625/786432$	$1.12790$	$4.07058$	$[1, -1, 1, -2120, 42891]$	$y^2+xy+y=x^3-x^2-2120x+42891$	3.4.0.a.1, 6.8.0.b.1, 18.24.0.c.1, 51.8.0-3.a.1.2, 102.16.0.?, $\ldots$	$[(77, 537)]$
5202.l2	5202g1	5202.l	5202g	$2$	$3$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{6} \cdot 3^{9} \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$102$	$48$	$0$	$0.243459317$	$1$		$6$	$1728$	$0.331924$	$2828375/1728$	$1.02006$	$3.16863$	$[1, -1, 1, 175, -255]$	$y^2+xy+y=x^3-x^2+175x-255$	3.4.0.a.1, 6.24.0.c.1, 51.8.0-3.a.1.1, 102.48.0.?	$[(5, 24)]$
5202.m1	5202n1	5202.m	5202n	$1$	$1$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ - 2^{7} \cdot 3^{7} \cdot 17^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24$	$2$	$0$	$1$	$1$		$0$	$34272$	$1.613594$	$5831/384$	$1.01027$	$4.98480$	$[1, -1, 1, 6448, 2115123]$	$y^2+xy+y=x^3-x^2+6448x+2115123$	24.2.0.b.1	$[]$
5202.n1	5202j4	5202.n	5202j	$4$	$10$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2 \cdot 3^{26} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	8.6.0.2, 5.6.0.1	2B, 5B	$2040$	$288$	$5$	$32.23312262$	$1$		$0$	$870400$	$3.336174$	$211293405175481/6973568802$	$1.13518$	$7.60505$	$[1, -1, 1, -54866849, 151915121183]$	$y^2+xy+y=x^3-x^2-54866849x+151915121183$	2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.18.0.a.1, 20.36.0.b.2, $\ldots$	$[(57043053815467/144434, 446089421441758537869/144434)]$
5202.n2	5202j3	5202.n	5202j	$4$	$10$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{2} \cdot 3^{16} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	8.6.0.2, 5.6.0.1	2B, 5B	$2040$	$288$	$5$	$16.11656131$	$1$		$1$	$435200$	$2.989601$	$206226044828441/236196$	$1.07449$	$7.60221$	$[1, -1, 1, -54424679, 154553814875]$	$y^2+xy+y=x^3-x^2-54424679x+154553814875$	2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.36.0.b.1, 34.6.0.a.1, $\ldots$	$[(331855215/281, 95160473504/281)]$
5202.n3	5202j2	5202.n	5202j	$4$	$10$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{5} \cdot 3^{10} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	8.6.0.2, 5.6.0.1	2B, 5B	$2040$	$288$	$5$	$6.446624524$	$1$		$0$	$174080$	$2.531456$	$551569744601/2592$	$1.20056$	$6.90990$	$[1, -1, 1, -7554659, -7990353277]$	$y^2+xy+y=x^3-x^2-7554659x-7990353277$	2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.18.0.a.1, 20.36.0.b.1, $\ldots$	$[(-6341/2, 7557/2)]$
5202.n4	5202j1	5202.n	5202j	$4$	$10$	$ 2 \cdot 3^{2} \cdot 17^{2} $	$ 2^{10} \cdot 3^{8} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	8.6.0.2, 5.6.0.1	2B, 5B	$2040$	$288$	$5$	$3.223312262$	$1$		$3$	$87040$	$2.184879$	$141420761/9216$	$0.99890$	$5.94356$	$[1, -1, 1, -479939, -120434749]$	$y^2+xy+y=x^3-x^2-479939x-120434749$	2.3.0.a.1, 5.6.0.a.1, 8.6.0.f.1, 10.36.0.b.2, 34.6.0.a.1, $\ldots$	$[(-357, 2482)]$

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