Elliptic curves over $\Q$ of conductor 270504

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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
270504.a1	270504a2	270504.a	270504a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{10} \cdot 13 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$15.35120588$	$1$		$1$	$34537472$	$2.917694$	$9365216434/1053$	$0.91524$	$5.01081$	$[0, 0, 0, -24658347, 47125053830]$	\(y^2=x^3-24658347x+47125053830\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(5150729/22, 10594311091/22)]$
270504.a2	270504a1	270504.a	270504a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 13^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$7.675602941$	$1$		$1$	$17268736$	$2.571117$	$5771588/1521$	$0.82035$	$4.36443$	$[0, 0, 0, -1665507, 610538510]$	\(y^2=x^3-1665507x+610538510\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-4207/2, 276991/2)]$
270504.b1	270504b2	270504.b	270504b	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$18.85728395$	$1$		$9$	$4718592$	$2.304741$	$238481570896/25857$	$0.93322$	$4.42385$	$[0, 0, 0, -2133687, -1199508950]$	\(y^2=x^3-2133687x-1199508950\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(-837, 104), (1698, 8554)]$
270504.b2	270504b1	270504.b	270504b	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 13 \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$4.714320988$	$1$		$9$	$2359296$	$1.958168$	$1171019776/304317$	$0.92581$	$3.77714$	$[0, 0, 0, -143922, -15598775]$	\(y^2=x^3-143922x-15598775\)	2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?	$[(884, 23409), (-799/2, 18207/2)]$
270504.c1	270504c2	270504.c	270504c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{12} \cdot 13 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$3538944$	$1.927446$	$94875856/9477$	$0.90366$	$3.79789$	$[0, 0, 0, -156927, -21764590]$	\(y^2=x^3-156927x-21764590\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[]$
270504.c2	270504c1	270504.c	270504c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.580872$	$702464/4563$	$0.96739$	$3.36989$	$[0, 0, 0, 12138, -1645855]$	\(y^2=x^3+12138x-1645855\)	2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[]$
270504.d1	270504d1	270504.d	270504d	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 13 \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$78$	$2$	$0$	$1.457516152$	$1$		$10$	$152064$	$0.478482$	$-117504/13$	$0.61120$	$2.41250$	$[0, 0, 0, -459, 4131]$	\(y^2=x^3-459x+4131\)	78.2.0.?	$[(9, 27), (-18, 81)]$
270504.e1	270504e1	270504.e	270504e	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1.330402178$	$1$		$4$	$580608$	$1.334908$	$36004308772/6591$	$0.90431$	$3.47748$	$[0, 0, 0, -41259, 3225206]$	\(y^2=x^3-41259x+3225206\)	156.2.0.?	$[(115, 36)]$
270504.f1	270504f1	270504.f	270504f	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{19} \cdot 13 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$78$	$2$	$0$	$2.542160293$	$1$		$0$	$14257152$	$2.762318$	$34296366848/20726199$	$0.96035$	$4.50017$	$[0, 0, 0, 2933061, 406830791]$	\(y^2=x^3+2933061x+406830791\)	78.2.0.?	$[(55777/2, 13272903/2)]$
270504.g1	270504g1	270504.g	270504g	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 13 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$78$	$2$	$0$	$1$	$1$		$0$	$861696$	$1.345783$	$-117504/13$	$0.61120$	$3.24458$	$[0, 0, 0, -14739, -751689]$	\(y^2=x^3-14739x-751689\)	78.2.0.?	$[]$
270504.h1	270504h3	270504.h	270504h	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 13 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.10	2B	$10608$	$192$	$3$	$1$	$1$		$1$	$5242880$	$2.268745$	$3044193988/85293$	$0.95679$	$4.18602$	$[0, 0, 0, -791571, 264427486]$	\(y^2=x^3-791571x+264427486\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$	$[]$
270504.h2	270504h2	270504.h	270504h	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.4	2Cs	$5304$	$192$	$3$	$1$	$1$		$3$	$2621440$	$1.922173$	$37642192/13689$	$0.91195$	$3.72399$	$[0, 0, 0, -115311, -9187310]$	\(y^2=x^3-115311x-9187310\)	2.6.0.a.1, 4.12.0.a.1, 24.24.0.k.1, 52.24.0.b.1, 104.48.0.?, $\ldots$	$[]$
270504.h3	270504h1	270504.h	270504h	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 13 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.10	2B	$10608$	$192$	$3$	$1$	$1$		$1$	$1310720$	$1.575600$	$420616192/117$	$0.96408$	$3.69528$	$[0, 0, 0, -102306, -12592019]$	\(y^2=x^3-102306x-12592019\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$	$[]$
270504.h4	270504h4	270504.h	270504h	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 13^{4} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.9	2B	$10608$	$192$	$3$	$1$	$1$		$1$	$5242880$	$2.268745$	$269676572/257049$	$0.96683$	$3.99224$	$[0, 0, 0, 352869, -64900730]$	\(y^2=x^3+352869x-64900730\)	2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 68.24.0-4.d.1.2, 104.24.0.?, $\ldots$	$[]$
270504.i1	270504i1	270504.i	270504i	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{10} \cdot 13^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$8257536$	$2.352154$	$8251733668/232713$	$0.85660$	$4.26574$	$[0, 0, 0, -1103691, 435281974]$	\(y^2=x^3-1103691x+435281974\)	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[]$
270504.i2	270504i2	270504.i	270504i	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{14} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$4$	$2$	$1$	$16515072$	$2.698727$	$47279806/24649677$	$0.96128$	$4.45229$	$[0, 0, 0, 248829, 1433171230]$	\(y^2=x^3+248829x+1433171230\)	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
270504.j1	270504j2	270504.j	270504j	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1990656$	$1.949471$	$530604/169$	$0.85497$	$3.75759$	$[0, 0, 0, -132651, -12469194]$	\(y^2=x^3-132651x-12469194\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[]$
270504.j2	270504j1	270504.j	270504j	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 13 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$995328$	$1.602898$	$11664/13$	$0.66228$	$3.34155$	$[0, 0, 0, 23409, -1326510]$	\(y^2=x^3+23409x-1326510\)	2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?	$[]$
270504.k1	270504k2	270504.k	270504k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{18} \cdot 13^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$136$	$12$	$0$	$8.007805177$	$1$		$1$	$3538944$	$2.275604$	$22361640463762/89813529$	$0.97526$	$4.27359$	$[0, 0, 0, -1140411, -467119370]$	\(y^2=x^3-1140411x-467119370\)	2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.?	$[(-5798/3, 11836/3)]$
270504.k2	270504k1	270504.k	270504k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{12} \cdot 13^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.2	2B	$136$	$12$	$0$	$4.003902588$	$1$		$3$	$1769472$	$1.929031$	$36047589764/20820969$	$1.05411$	$3.70409$	$[0, 0, 0, -106131, 582046]$	\(y^2=x^3-106131x+582046\)	2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.?	$[(-325, 864)]$
270504.l1	270504l1	270504.l	270504l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$2.215929094$	$1$		$5$	$5308416$	$2.561527$	$1343969093632/462866157$	$0.93614$	$4.34042$	$[0, 0, 0, -1506846, -453012991]$	\(y^2=x^3-1506846x-453012991\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(-404, 9477)]$
270504.l2	270504l2	270504.l	270504l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 13^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$4.431858188$	$1$		$3$	$10616832$	$2.908100$	$2181636984368/2215505331$	$0.92209$	$4.60082$	$[0, 0, 0, 4462449, -3152328190]$	\(y^2=x^3+4462449x-3152328190\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[(14335, 1733940)]$
270504.m1	270504m2	270504.m	270504m	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$4$	$2$	$1$	$5013504$	$2.260017$	$390224/169$	$0.74820$	$4.03822$	$[0, 0, 0, -427431, -53954566]$	\(y^2=x^3-427431x-53954566\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.d.1, 884.12.0.?	$[]$
270504.m2	270504m1	270504.m	270504m	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$4$	$2$	$1$	$2506752$	$1.913443$	$702464/13$	$0.86582$	$3.86356$	$[0, 0, 0, -206346, 35496425]$	\(y^2=x^3-206346x+35496425\)	2.3.0.a.1, 52.6.0.d.1, 68.6.0.c.1, 442.6.0.?, 884.12.0.?	$[]$
270504.n1	270504n4	270504.n	270504n	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5304$	$48$	$0$	$23.85661491$	$1$		$1$	$14155776$	$2.758785$	$305612563186948/663$	$0.94496$	$5.10678$	$[0, 0, 0, -36789411, -85887975314]$	\(y^2=x^3-36789411x-85887975314\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 408.24.0.?, 2652.24.0.?, $\ldots$	$[(22373479353/406, 3343172297272555/406)]$
270504.n2	270504n3	270504.n	270504n	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$5304$	$48$	$0$	$5.964153727$	$1$		$1$	$14155776$	$2.758785$	$161838334948/87947613$	$0.93419$	$4.50369$	$[0, 0, 0, -2976411, -487968986]$	\(y^2=x^3-2976411x-487968986\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[(-40681/5, 853128/5)]$
270504.n3	270504n2	270504.n	270504n	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2652$	$48$	$0$	$11.92830745$	$1$		$3$	$7077888$	$2.412212$	$298766385232/439569$	$0.93525$	$4.44187$	$[0, 0, 0, -2300151, -1341003350]$	\(y^2=x^3-2300151x-1341003350\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 204.24.0.?, 2652.48.0.?	$[(542721/2, 399795305/2)]$
270504.n4	270504n1	270504.n	270504n	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 13^{4} \cdot 17^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5304$	$48$	$0$	$5.964153727$	$1$		$5$	$3538944$	$2.065639$	$-420616192/1456611$	$0.95470$	$3.85068$	$[0, 0, 0, -102306, -33285575]$	\(y^2=x^3-102306x-33285575\)	2.3.0.a.1, 4.12.0-4.c.1.1, 102.6.0.?, 104.24.0.?, 204.24.0.?, $\ldots$	$[(1713/2, 9607/2)]$
270504.o1	270504o1	270504.o	270504o	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 13 \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1$	$1$		$0$	$1209600$	$1.572882$	$-235298/13$	$0.96559$	$3.49178$	$[0, 0, 0, -42483, 3527534]$	\(y^2=x^3-42483x+3527534\)	104.2.0.?	$[]$
270504.p1	270504p1	270504.p	270504p	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$78$	$2$	$0$	$0.832814087$	$1$		$2$	$248832$	$0.857017$	$3172608/2197$	$0.75928$	$2.66201$	$[0, 0, 0, 1377, -8721]$	\(y^2=x^3+1377x-8721\)	78.2.0.?	$[(42, 351)]$
270504.q1	270504q1	270504.q	270504q	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 13 \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1$	$1$		$0$	$428544$	$1.256882$	$31212/13$	$0.78811$	$3.07805$	$[0, 0, 0, -7803, 140454]$	\(y^2=x^3-7803x+140454\)	156.2.0.?	$[]$
270504.r1	270504r1	270504.r	270504r	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 13 \cdot 17^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$78$	$2$	$0$	$5.891891717$	$1$		$2$	$2976768$	$2.150871$	$-73984/39$	$0.69749$	$3.96190$	$[0, 0, 0, -250563, 66733279]$	\(y^2=x^3-250563x+66733279\)	78.2.0.?	$[(219, 4729)]$
270504.s1	270504s1	270504.s	270504s	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 13 \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1.377426466$	$1$		$10$	$156672$	$0.868433$	$98116996/39$	$0.83308$	$3.00537$	$[0, 0, 0, -5763, 168334]$	\(y^2=x^3-5763x+168334\)	156.2.0.?	$[(47, 36), (2, 396)]$
270504.t1	270504t1	270504.t	270504t	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 13 \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1$	$4$	$2$	$0$	$2428416$	$2.124180$	$31212/13$	$0.78811$	$3.91012$	$[0, 0, 0, -250563, -25557426]$	\(y^2=x^3-250563x-25557426\)	156.2.0.?	$[]$
270504.u1	270504u1	270504.u	270504u	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$78$	$2$	$0$	$1.056991538$	$1$		$2$	$1410048$	$1.724318$	$3172608/2197$	$0.75928$	$3.49409$	$[0, 0, 0, 44217, 1586899]$	\(y^2=x^3+44217x+1586899\)	78.2.0.?	$[(867, 26299)]$
270504.v1	270504v1	270504.v	270504v	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.33	2B	$1768$	$48$	$1$	$0.633878416$	$1$		$9$	$262144$	$1.027277$	$71874000/169$	$0.85011$	$3.09616$	$[0, 0, 0, -8415, 296514]$	\(y^2=x^3-8415x+296514\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 34.6.0.a.1, 52.12.0.n.1, $\ldots$	$[(33, 234)]$
270504.v2	270504v2	270504.v	270504v	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 13^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$1768$	$48$	$1$	$1.267756832$	$1$		$7$	$524288$	$1.373850$	$-4630500/28561$	$0.99839$	$3.18411$	$[0, 0, 0, -5355, 514998]$	\(y^2=x^3-5355x+514998\)	2.3.0.a.1, 4.12.0.e.1, 68.24.0.i.1, 104.24.0.?, 1768.48.1.?	$[(67, 676)]$
270504.w1	270504w1	270504.w	270504w	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$5.724988833$	$1$		$2$	$6697728$	$2.492603$	$5656750/6591$	$0.83488$	$4.19280$	$[0, 0, 0, 810645, -282802106]$	\(y^2=x^3+810645x-282802106\)	312.2.0.?	$[(6218, 495144)]$
270504.x1	270504x2	270504.x	270504x	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$4718592$	$2.339172$	$3822686500/304317$	$0.84928$	$4.20423$	$[0, 0, 0, -853995, -282094634]$	\(y^2=x^3-853995x-282094634\)	2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?	$[]$
270504.x2	270504x1	270504.x	270504x	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$1$	$2359296$	$1.992599$	$137842000/25857$	$0.78659$	$3.82776$	$[0, 0, 0, -177735, 23710138]$	\(y^2=x^3-177735x+23710138\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[]$
270504.y1	270504y2	270504.y	270504y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 13^{8} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.18	2B	$408$	$48$	$1$	$1$	$1$		$1$	$86900736$	$3.785915$	$93820226562500/815730721$	$1.09163$	$5.69190$	$[0, 0, 0, -421903875, -3310405114642]$	\(y^2=x^3-421903875x-3310405114642\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
270504.y2	270504y1	270504.y	270504y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 13^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.18	2B	$408$	$48$	$1$	$1$	$1$		$1$	$43450368$	$3.439342$	$372926004194000/28561$	$0.97953$	$5.69139$	$[0, 0, 0, -421019535, -3325075077166]$	\(y^2=x^3-421019535x-3325075077166\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
270504.z1	270504z2	270504.z	270504z	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 13^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$5.141101750$	$1$		$3$	$10616832$	$2.824436$	$1603530178000/738501777$	$0.92097$	$4.57620$	$[0, 0, 0, -4027215, -1405579822]$	\(y^2=x^3-4027215x-1405579822\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(6986, 558038)]$
270504.z2	270504z1	270504.z	270504z	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$2.570550875$	$1$		$3$	$5308416$	$2.477863$	$3322336000000/51429573$	$0.98800$	$4.41278$	$[0, 0, 0, -2037450, 1104309749]$	\(y^2=x^3-2037450x+1104309749\)	2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?	$[(-935, 46818)]$
270504.ba1	270504ba2	270504.ba	270504ba	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{22} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$15.55441153$	$1$		$1$	$84934656$	$3.818386$	$64122592551794500/27331783704693$	$0.99192$	$5.53420$	$[0, 0, 0, -218609715, -638562822082]$	\(y^2=x^3-218609715x-638562822082\)	2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?	$[(-11636173/31, 14386240744/31)]$
270504.ba2	270504ba1	270504.ba	270504ba	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 13^{6} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$7.777205765$	$1$		$3$	$42467328$	$3.471809$	$27873248949250000/538367795433$	$1.00820$	$5.35676$	$[0, 0, 0, -104321775, 403217466194]$	\(y^2=x^3-104321775x+403217466194\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(-10787, 522846)]$
270504.bb1	270504bb2	270504.bb	270504bb	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 13 \cdot 17^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$8.512244658$	$1$		$3$	$56623104$	$3.733215$	$253674278705546500/2058765672717$	$0.98136$	$5.64415$	$[0, 0, 0, -345746595, 2457073435534]$	\(y^2=x^3-345746595x+2457073435534\)	2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?	$[(3195, 1176872)]$
270504.bb2	270504bb1	270504.bb	270504bb	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 13^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$4.256122329$	$1$		$5$	$28311552$	$3.386642$	$1008754689437602000/67254057$	$0.98116$	$5.64368$	$[0, 0, 0, -345070335, 2467229372962]$	\(y^2=x^3-345070335x+2467229372962\)	2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?	$[(10709, 2826)]$
270504.bc1	270504bc1	270504.bc	270504bc	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 13^{4} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$136$	$12$	$0$	$13.56118076$	$1$		$1$	$17694720$	$3.146515$	$315042014258500/1262881737$	$0.94524$	$5.10921$	$[0, 0, 0, -37163955, -86900367746]$	\(y^2=x^3-37163955x-86900367746\)	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[(681980075/269, 12310618396032/269)]$
270504.bc2	270504bc2	270504.bc	270504bc	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{11} \cdot 3^{10} \cdot 13^{2} \cdot 17^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$27.12236152$	$1$		$1$	$35389440$	$3.493088$	$-23040414103250/330419182041$	$0.98369$	$5.21532$	$[0, 0, 0, -19581195, -169338896282]$	\(y^2=x^3-19581195x-169338896282\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(85987606203809/40048, 794198541461663279601/40048)]$

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