Elliptic curves over $\Q$ of conductor 85176

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (1-50 of 106 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
85176.a1	85176bk1	85176.a	85176bk	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 7^{3} \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$2096640$	$2.291691$	$6652854/343$	$0.96739$	$4.60521$	$1$	$[0, 0, 0, -771147, 248766310]$	\(y^2=x^3-771147x+248766310\)	168.2.0.?	$[ ]$	$1$
85176.b1	85176y2	85176.b	85176y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$451584$	$1.597113$	$3543122/49$	$1.08036$	$3.93628$	$1$	$[0, 0, 0, -61347, 5778110]$	\(y^2=x^3-61347x+5778110\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[ ]$	$1$
85176.b2	85176y1	85176.b	85176y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 7 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$56$	$12$	$0$	$1$	$1$		$1$	$225792$	$1.250538$	$-4/7$	$1.03482$	$3.37493$	$1$	$[0, 0, 0, -507, 241670]$	\(y^2=x^3-507x+241670\)	2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1	$[ ]$	$1$
85176.c1	85176f1	85176.c	85176f	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 7 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$5.466438699$	$1$		$1$	$903168$	$1.768818$	$10536048/91$	$0.74198$	$4.13942$	$1$	$[0, 0, 0, -132327, 18388890]$	\(y^2=x^3-132327x+18388890\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(105/2, 30915/2)]$	$1$
85176.c2	85176f2	85176.c	85176f	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{9} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.733219349$	$1$		$3$	$1806336$	$2.115391$	$-78732/8281$	$0.96700$	$4.28899$	$1$	$[0, 0, 0, -41067, 43302870]$	\(y^2=x^3-41067x+43302870\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(-65, 6760)]$	$1$
85176.d1	85176bo1	85176.d	85176bo	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{9} \cdot 7^{3} \cdot 13^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.834288430$	$1$		$2$	$483840$	$1.558523$	$6652854/343$	$0.96739$	$3.83022$	$1$	$[0, 0, 0, -41067, -3057210]$	\(y^2=x^3-41067x-3057210\)	168.2.0.?	$[(-114, 378)]$	$1$
85176.e1	85176v1	85176.e	85176v	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{3} \cdot 13^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$7096320$	$2.950687$	$-59219479733906/382060497$	$0.96495$	$5.40229$	$1$	$[0, 0, 0, -15685059, 24042786014]$	\(y^2=x^3-15685059x+24042786014\)	2184.2.0.?	$[ ]$	$1$
85176.f1	85176z1	85176.f	85176z	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 7^{5} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$6.538742041$	$1$		$2$	$8386560$	$2.997448$	$-20380171264/12252303$	$0.97705$	$5.25626$	$1$	$[0, 0, 0, -7144644, -10495710524]$	\(y^2=x^3-7144644x-10495710524\)	182.2.0.?	$[(3254, 26658)]$	$1$
85176.g1	85176u1	85176.g	85176u	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{10} \cdot 7 \cdot 13^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$1.232919476$	$1$		$14$	$516096$	$1.721462$	$5030912/7371$	$0.81422$	$3.82155$	$1$	$[0, 0, 0, 34476, -3049436]$	\(y^2=x^3+34476x-3049436\)	182.2.0.?	$[(182, 3042), (416, 9126)]$	$1$
85176.h1	85176bi1	85176.h	85176bi	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{9} \cdot 7 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$967680$	$2.137066$	$-683064198/91$	$0.86839$	$4.69009$	$1$	$[0, 0, 0, -1063179, 421995366]$	\(y^2=x^3-1063179x+421995366\)	2184.2.0.?	$[ ]$	$1$
85176.i1	85176bx1	85176.i	85176bx	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7^{3} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$175104$	$1.092482$	$-453962/1029$	$0.86527$	$3.21776$	$1$	$[0, 0, 0, -2379, -99034]$	\(y^2=x^3-2379x-99034\)	2184.2.0.?	$[ ]$	$1$
85176.j1	85176w1	85176.j	85176w	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{42} \cdot 7 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$1$	$16$	$2$	$0$	$596090880$	$5.078270$	$-588894491652244161881463808/13658611812026920011$	$1.07886$	$7.85440$	$1$	$[0, 0, 0, -168647715444, -26657996713441756]$	\(y^2=x^3-168647715444x-26657996713441756\)	182.2.0.?	$[ ]$	$1$
85176.k1	85176cf1	85176.k	85176cf	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{18} \cdot 7^{8} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$12$	$16$	$0$	$1$	$1$		$0$	$47923200$	$3.963093$	$-20994006260678308/3063651608241$	$1.01953$	$6.32907$	$1$	$[0, 0, 0, -487134219, 4630758698774]$	\(y^2=x^3-487134219x+4630758698774\)	4.8.0.b.1, 12.16.0-4.b.1.1	$[ ]$	$1$
85176.l1	85176bh1	85176.l	85176bh	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 7 \cdot 13^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$9.026385752$	$1$		$9$	$184320$	$1.228859$	$55296/7$	$0.81576$	$3.43275$	$1$	$[0, 0, 0, -9126, -296595]$	\(y^2=x^3-9126x-296595\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(-66, 135), (637, 15886)]$	$1$
85176.l2	85176bh2	85176.l	85176bh	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 13^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$2.256596438$	$1$		$21$	$368640$	$1.575434$	$11664/49$	$0.83745$	$3.70146$	$1$	$[0, 0, 0, 13689, -1542294]$	\(y^2=x^3+13689x-1542294\)	2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?	$[(429, 9126), (91, 676)]$	$1$
85176.m1	85176bv6	85176.m	85176bv	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 7 \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.87	2B	$4368$	$192$	$1$	$10.63229359$	$1$		$1$	$5505024$	$3.136055$	$187491149065688834/3549$	$1.00542$	$6.11131$	$2$	$[0, 0, 0, -230316411, 1345350486454]$	\(y^2=x^3-230316411x+1345350486454\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 48.48.0-48.e.1.9, 112.48.0.?, $\ldots$	$[(1249521/10, 646822319/10)]$	$1$
85176.m2	85176bv4	85176.m	85176bv	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 7^{2} \cdot 13^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$2184$	$192$	$1$	$5.316146795$	$1$		$5$	$2752512$	$2.789482$	$91557481657828/12595401$	$0.96319$	$5.37864$	$1$	$[0, 0, 0, -14395251, 21019643710]$	\(y^2=x^3-14395251x+21019643710\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.i.2.14, 56.48.0-56.h.1.17, $\ldots$	$[(2246, 4230)]$	$1$
85176.m3	85176bv5	85176.m	85176bv	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7 \cdot 13^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.3	2B	$4368$	$192$	$1$	$10.63229359$	$1$		$1$	$5505024$	$3.136055$	$-34639400027234/17130345141$	$0.97147$	$5.40848$	$2$	$[0, 0, 0, -13117611, 24902902726]$	\(y^2=x^3-13117611x+24902902726\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0.bz.1, $\ldots$	$[(-29026/5, 24548382/5)]$	$1$
85176.m4	85176bv2	85176.m	85176bv	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 7^{4} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$2184$	$192$	$1$	$2.658073397$	$1$		$9$	$1376256$	$2.442909$	$115562131792/32867289$	$0.91234$	$4.66855$	$1$	$[0, 0, 0, -980031, 266298370]$	\(y^2=x^3-980031x+266298370\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0-4.b.1.2, 24.48.0-24.i.1.29, $\ldots$	$[(218, 7938)]$	$1$
85176.m5	85176bv1	85176.m	85176bv	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.14	2B	$4368$	$192$	$1$	$1.329036698$	$1$		$7$	$688128$	$2.096333$	$94757435392/4179357$	$0.93004$	$4.40684$	$2$	$[0, 0, 0, -364026, -81251651]$	\(y^2=x^3-364026x-81251651\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.6, $\ldots$	$[(-390, 1183)]$	$1$
85176.m6	85176bv3	85176.m	85176bv	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 7^{8} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.89	2B	$4368$	$192$	$1$	$5.316146795$	$1$		$3$	$2752512$	$2.789482$	$526556774012/674481717$	$0.95177$	$4.94130$	$2$	$[0, 0, 0, 2579109, 1756154374]$	\(y^2=x^3+2579109x+1756154374\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.1, 24.48.0-24.bz.2.2, $\ldots$	$[(9006, 869162)]$	$1$
85176.n1	85176bw6	85176.n	85176bw	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{12} \cdot 7 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.94	2B	$4368$	$192$	$1$	$18.07421449$	$1$		$1$	$24772608$	$3.783070$	$1224522642327678150914/66339$	$1.03626$	$6.88509$	$2$	$[0, 0, 0, -4305136251, 108724761767414]$	\(y^2=x^3-4305136251x+108724761767414\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 48.48.0-48.g.1.29, 112.48.0.?, $\ldots$	$[(2983508489/250, 54109380172237/250)]$	$1$
85176.n2	85176bw4	85176.n	85176bw	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{18} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$2184$	$192$	$1$	$9.037107247$	$1$		$3$	$12386304$	$3.436497$	$597914615076708388/4400862921$	$1.00735$	$6.15241$	$1$	$[0, 0, 0, -269071491, 1698818100590]$	\(y^2=x^3-269071491x+1698818100590\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.m.1.4, 56.48.0-56.h.2.21, $\ldots$	$[(127361/2, 40327625/2)]$	$1$
85176.n3	85176bw5	85176.n	85176bw	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{30} \cdot 7 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.9	2B	$4368$	$192$	$1$	$18.07421449$	$1$		$1$	$24772608$	$3.783070$	$-280880296871140514/25701087819771$	$1.00895$	$6.15985$	$2$	$[0, 0, 0, -263535051, 1772072952806]$	\(y^2=x^3-263535051x+1772072952806\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 24.24.0-8.n.1.3, $\ldots$	$[(876027113/166, 23109746963875/166)]$	$1$
85176.n4	85176bw3	85176.n	85176bw	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 7^{2} \cdot 13^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.8	2B	$4368$	$192$	$1$	$9.037107247$	$1$		$1$	$12386304$	$3.436497$	$5807363790481348/1079211743883$	$0.99175$	$5.74419$	$2$	$[0, 0, 0, -57409131, -137947911946]$	\(y^2=x^3-57409131x-137947911946\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0-8.n.1.2, $\ldots$	$[(-18431/2, 1356471/2)]$	$1$
85176.n5	85176bw2	85176.n	85176bw	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{12} \cdot 7^{4} \cdot 13^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$2184$	$192$	$1$	$4.518553623$	$1$		$7$	$6193152$	$3.089924$	$620742479063632/49991146569$	$0.96865$	$5.42512$	$1$	$[0, 0, 0, -17163471, 25393123730]$	\(y^2=x^3-17163471x+25393123730\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0.c.1, 24.48.0-12.c.1.5, $\ldots$	$[(1603, 44712)]$	$1$
85176.n6	85176bw1	85176.n	85176bw	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{8} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.93	2B	$4368$	$192$	$1$	$2.259276811$	$1$		$7$	$3096576$	$2.743347$	$2587063175168/26304786963$	$1.01433$	$4.94545$	$2$	$[0, 0, 0, 1096134, 1798062149]$	\(y^2=x^3+1096134x+1798062149\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0-8.n.1.5, 12.12.0.g.1, $\ldots$	$[(-806, 19773)]$	$1$
85176.o1	85176q1	85176.o	85176q	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{7} \cdot 7 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$38400$	$0.555116$	$34606/21$	$0.81258$	$2.62480$	$1$	$[0, 0, 0, 429, -754]$	\(y^2=x^3+429x-754\)	168.2.0.?	$[ ]$	$1$
85176.p1	85176c1	85176.p	85176c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$9.833447536$	$1$		$1$	$3870720$	$2.965809$	$49860882714802176/57967$	$1.03738$	$5.85756$	$1$	$[0, 0, 0, -88166286, 318641202945]$	\(y^2=x^3-88166286x+318641202945\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(509353/8, 178141717/8)]$	$1$
85176.p2	85176c2	85176.p	85176c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{9} \cdot 7^{6} \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$4.916723768$	$1$		$3$	$7741440$	$3.312382$	$-3113886554501616/3360173089$	$0.99101$	$5.85766$	$1$	$[0, 0, 0, -88143471, 318814355106]$	\(y^2=x^3-88143471x+318814355106\)	2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?	$[(24310, 3541564)]$	$1$
85176.q1	85176r1	85176.q	85176r	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{11} \cdot 7 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$1397760$	$2.220921$	$5901506/1701$	$0.85043$	$4.43310$	$1$	$[0, 0, 0, -402051, -69517474]$	\(y^2=x^3-402051x-69517474\)	168.2.0.?	$[ ]$	$1$
85176.r1	85176i2	85176.r	85176i	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 7 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$4$	$2$	$1$	$442368$	$1.705482$	$21882096/7$	$1.20928$	$4.20380$	$1$	$[0, 0, 0, -168831, -26693550]$	\(y^2=x^3-168831x-26693550\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[ ]$	$1$
85176.r2	85176i1	85176.r	85176i	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.358908$	$-55296/49$	$1.17572$	$3.51456$	$1$	$[0, 0, 0, -9126, -533871]$	\(y^2=x^3-9126x-533871\)	2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?	$[ ]$	$1$
85176.s1	85176bd1	85176.s	85176bd	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{25} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$2.759510819$	$1$		$2$	$12082176$	$3.501987$	$86323786849188610514/46901442470561469$	$1.08352$	$5.74772$	$1$	$[0, 0, 0, -58181331, -42237375154]$	\(y^2=x^3-58181331x-42237375154\)	168.2.0.?	$[(-3914, 354294)]$	$1$
85176.t1	85176bs1	85176.t	85176bs	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$2.035067065$	$1$		$2$	$387072$	$1.673035$	$-1024/4459$	$0.96270$	$3.82155$	$1$	$[0, 0, 0, -2028, -3049436]$	\(y^2=x^3-2028x-3049436\)	182.2.0.?	$[(1040, 33462)]$	$1$
85176.u1	85176bb1	85176.u	85176bb	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.2.0.1		$84$	$4$	$0$	$0.648806400$	$1$		$4$	$599040$	$1.868776$	$-114244/49$	$0.92353$	$4.07342$	$1$	$[0, 0, 0, -85683, 12738206]$	\(y^2=x^3-85683x+12738206\)	4.2.0.a.1, 84.4.0.?	$[(-169, 4732)]$	$1$
85176.v1	85176bm1	85176.v	85176bm	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{3} \cdot 7^{7} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.107048751$	$1$		$0$	$2257920$	$2.654308$	$1225217998314/1809323971$	$1.02421$	$4.80809$	$1$	$[0, 0, 0, 1435317, -824494554]$	\(y^2=x^3+1435317x-824494554\)	2184.2.0.?	$[(4017/2, 322959/2)]$	$1$
85176.w1	85176ca1	85176.w	85176ca	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$182$	$2$	$0$	$1$	$1$		$0$	$516096$	$1.834179$	$-135834624/15379$	$0.86662$	$4.09005$	$1$	$[0, 0, 0, -103428, 13999284]$	\(y^2=x^3-103428x+13999284\)	182.2.0.?	$[ ]$	$1$
85176.x1	85176g2	85176.x	85176g	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 7^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$1$	$1$		$1$	$678912$	$1.976696$	$4920750/49$	$0.92613$	$4.35270$	$1$	$[0, 0, 0, -296595, 61634638]$	\(y^2=x^3-296595x+61634638\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.?	$[ ]$	$1$
85176.x2	85176g1	85176.x	85176g	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 7 \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$1$	$1$		$1$	$339456$	$1.630123$	$13500/7$	$0.70865$	$3.77207$	$1$	$[0, 0, 0, -32955, -742586]$	\(y^2=x^3-32955x-742586\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[ ]$	$1$
85176.y1	85176m2	85176.y	85176m	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{16} \cdot 7^{4} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$9$	$3$	$1$	$10321920$	$3.368687$	$1989996724085074000/1843096437$	$1.00659$	$6.13621$	$1$	$[0, 0, 0, -253076655, -1549622431838]$	\(y^2=x^3-253076655x-1549622431838\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
85176.y2	85176m1	85176.y	85176m	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{8} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$9$	$3$	$1$	$5160960$	$3.022114$	$-7604375980288000/236743082667$	$1.00871$	$5.40621$	$1$	$[0, 0, 0, -15701790, -24583874159]$	\(y^2=x^3-15701790x-24583874159\)	2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[ ]$	$1$
85176.z1	85176bf2	85176.z	85176bf	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 7 \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$774144$	$2.200726$	$49284342000/91$	$0.89780$	$4.88380$	$1$	$[0, 0, 0, -2213055, -1267172478]$	\(y^2=x^3-2213055x-1267172478\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[ ]$	$1$
85176.z2	85176bf1	85176.z	85176bf	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1$	$1$		$1$	$387072$	$1.854151$	$-186624000/8281$	$0.84865$	$4.15489$	$1$	$[0, 0, 0, -136890, -20227779]$	\(y^2=x^3-136890x-20227779\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[ ]$	$1$
85176.ba1	85176a2	85176.ba	85176a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 7 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.349608686$	$1$		$5$	$258048$	$1.651417$	$49284342000/91$	$0.89780$	$4.30317$	$1$	$[0, 0, 0, -245895, 46932314]$	\(y^2=x^3-245895x+46932314\)	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.?	$[(283, 96)]$	$1$
85176.ba2	85176a1	85176.ba	85176a	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1.174804343$	$1$		$7$	$129024$	$1.304844$	$-186624000/8281$	$0.84865$	$3.57425$	$1$	$[0, 0, 0, -15210, 749177]$	\(y^2=x^3-15210x+749177\)	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(-52, 1183)]$	$1$
85176.bb1	85176l1	85176.bb	85176l	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$119808$	$1.183971$	$4689415250/1029$	$0.92097$	$3.66570$	$1$	$[0, 0, 0, -22035, -1258738]$	\(y^2=x^3-22035x-1258738\)	168.2.0.?	$[ ]$	$1$
85176.bc1	85176n1	85176.bc	85176n	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$1$	$1$		$0$	$241920$	$1.530045$	$-31250/91$	$0.83978$	$3.67786$	$1$	$[0, 0, 0, -12675, 1348958]$	\(y^2=x^3-12675x+1348958\)	728.2.0.?	$[ ]$	$1$
85176.bd1	85176bl2	85176.bd	85176bl	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{9} \cdot 7^{2} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$29.55346679$	$1$		$1$	$2036736$	$2.526001$	$4920750/49$	$0.92613$	$4.93334$	$1$	$[0, 0, 0, -2669355, -1664135226]$	\(y^2=x^3-2669355x-1664135226\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.?	$[(-9939173182511/103850, 4066587299332007263/103850)]$	$1$
85176.bd2	85176bl1	85176.bd	85176bl	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 7 \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$14.77673339$	$1$		$1$	$1018368$	$2.179428$	$13500/7$	$0.70865$	$4.35270$	$1$	$[0, 0, 0, -296595, 20049822]$	\(y^2=x^3-296595x+20049822\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[(-7113183/134, 20889783225/134)]$	$1$

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