Elliptic curves over Q\Q of conductor 82110

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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
82110.a1	82110e2	82110.a	82110e	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{24} \cdot 3^{20} \cdot 5^{3} \cdot 7^{10} \cdot 17 \cdot 23^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$54740$	$12$	$0$	$1$	$1$		$0$	$541900800$	$5.110153$	$765968334676988161620613506031527402169/18575477943603969612960497664000$	$1.04197$	$7.91231$	$[1, 1, 0, -190617323843, 32031810672497613]$	$y^2+xy=x^3+x^2-190617323843x+32031810672497613$	2.3.0.a.1, 170.6.0.?, 644.6.0.?, 54740.12.0.?	$[]$
82110.a2	82110e1	82110.a	82110e	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{48} \cdot 3^{10} \cdot 5^{6} \cdot 7^{5} \cdot 17^{2} \cdot 23$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$54740$	$12$	$0$	$1$	$1$		$1$	$270950400$	$4.763580$	$208793166750816085067049670649322169/29012706455404911613968384000000$	$1.03009$	$7.18699$	$[1, 1, 0, -12359403843, 461013931889613]$	$y^2+xy=x^3+x^2-12359403843x+461013931889613$	2.3.0.a.1, 322.6.0.?, 340.6.0.?, 54740.12.0.?	$[]$
82110.b1	82110c1	82110.b	82110c	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{26} \cdot 3^{17} \cdot 5^{2} \cdot 7^{4} \cdot 17^{5} \cdot 23$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4692$	$2$	$0$	$1$	$1$		$0$	$105231360$	$4.299255$	$-7584350272139218035276142288769449/16988139912484810495151308800$	$1.02212$	$6.89436$	$[1, 1, 0, -4093218138, 100989673531668]$	$y^2+xy=x^3+x^2-4093218138x+100989673531668$	4692.2.0.?	$[]$
82110.c1	82110d2	82110.c	82110d	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{5} \cdot 3^{2} \cdot 5^{14} \cdot 7^{4} \cdot 17^{2} \cdot 23$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$0$	$2365440$	$2.432880$	$79328791715363264661049/28053715429687500000$	$0.96248$	$4.65966$	$[1, 1, 0, -895163, 202922493]$	$y^2+xy=x^3+x^2-895163x+202922493$	2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.?	$[]$
82110.c2	82110d1	82110.c	82110d	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{10} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 17^{4} \cdot 23^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$1$	$1182720$	$2.086308$	$527731741492512370631/519587481840000000$	$0.94785$	$4.21668$	$[1, 1, 0, 168357, 22336797]$	$y^2+xy=x^3+x^2+168357x+22336797$	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
82110.d1	82110b2	82110.d	82110b	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{3} \cdot 3^{8} \cdot 5 \cdot 7^{5} \cdot 17^{2} \cdot 23^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$109480$	$12$	$0$	$13.58135465$	$1$		$0$	$2242560$	$2.259731$	$5094841618754165781496729/674331960579480$	$0.96877$	$5.02750$	$[1, 1, 0, -3584833, -2613965123]$	$y^2+xy=x^3+x^2-3584833x-2613965123$	2.3.0.a.1, 280.6.0.?, 1564.6.0.?, 109480.12.0.?	$[(6201469/29, 14784866090/29)]$
82110.d2	82110b1	82110.d	82110b	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 7^{10} \cdot 17 \cdot 23$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$109480$	$12$	$0$	$6.790677329$	$1$		$3$	$1121280$	$1.913160$	$-1233583919615644207129/14314037777726400$	$0.93799$	$4.29347$	$[1, 1, 0, -223433, -41149563]$	$y^2+xy=x^3+x^2-223433x-41149563$	2.3.0.a.1, 280.6.0.?, 782.6.0.?, 109480.12.0.?	$[(7274, 615455)]$
82110.e1	82110f4	82110.e	82110f	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{7} \cdot 3 \cdot 5^{12} \cdot 7^{4} \cdot 17 \cdot 23$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$328440$	$48$	$0$	$5.378265239$	$4$	$2$	$2$	$1548288$	$2.153088$	$60247762819441649256169/88011656250000000$	$0.95325$	$4.63535$	$[1, 1, 0, -816718, -284072012]$	$y^2+xy=x^3+x^2-816718x-284072012$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 280.24.0.?, 4692.12.0.?, $\ldots$	$[(-507, 292)]$
82110.e2	82110f3	82110.e	82110f	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{7} \cdot 3^{4} \cdot 5^{3} \cdot 7 \cdot 17^{4} \cdot 23^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$328440$	$48$	$0$	$1.344566309$	$1$		$6$	$1548288$	$2.153088$	$27129615157115663546089/212036228660592000$	$0.95033$	$4.56484$	$[1, 1, 0, -625998, 189084852]$	$y^2+xy=x^3+x^2-625998x+189084852$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 140.12.0.?, 280.24.0.?, $\ldots$	$[(389, 1956)]$
82110.e3	82110f2	82110.e	82110f	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 17^{2} \cdot 23^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$328440$	$48$	$0$	$2.689132619$	$1$		$8$	$774144$	$1.806515$	$31792619964197306089/17259653376000000$	$0.94846$	$3.96841$	$[1, 1, 0, -65998, -1651148]$	$y^2+xy=x^3+x^2-65998x-1651148$	2.6.0.a.1, 8.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, 4692.12.0.?, $\ldots$	$[(-123, 2212)]$
82110.e4	82110f1	82110.e	82110f	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{28} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 17 \cdot 23$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$328440$	$48$	$0$	$5.378265239$	$4$	$2$	$3$	$387072$	$1.459942$	$446348367643738391/275515441152000$	$0.92873$	$3.59142$	$[1, 1, 0, 15922, -192972]$	$y^2+xy=x^3+x^2+15922x-192972$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 280.24.0.?, $\ldots$	$[(133, 2007)]$
82110.f1	82110a1	82110.f	82110a	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$15640$	$2$	$0$	$0.856452412$	$1$		$4$	$20224$	$-0.102653$	$-2565726409/1724310$	$0.85815$	$1.98273$	$[1, 1, 0, -28, -98]$	$y^2+xy=x^3+x^2-28x-98$	15640.2.0.?	$[(7, 7)]$
82110.g1	82110g1	82110.g	82110g	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{3} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 17^{3} \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$109480$	$2$	$0$	$1.291556735$	$1$		$2$	$69120$	$0.548250$	$-28119423707929/2562817320$	$0.83650$	$2.74958$	$[1, 1, 0, -633, -6867]$	$y^2+xy=x^3+x^2-633x-6867$	109480.2.0.?	$[(57, 354)]$
82110.h1	82110l1	82110.h	82110l	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{3} \cdot 3^{8} \cdot 5^{3} \cdot 7^{4} \cdot 17 \cdot 23^{5}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$15640$	$2$	$0$	$1.347045395$	$1$		$4$	$1198080$	$2.188011$	$-787629777366448036441/1723654824447591000$	$0.95183$	$4.39034$	$[1, 1, 0, -192397, 70948309]$	$y^2+xy=x^3+x^2-192397x+70948309$	15640.2.0.?	$[(-167, 10006)]$
82110.i1	82110i1	82110.i	82110i	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 7 \cdot 17^{2} \cdot 23^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$10948$	$12$	$0$	$0.433483550$	$1$		$9$	$221184$	$1.212088$	$404109561997973161/2215245690000$	$0.96181$	$3.58264$	$[1, 1, 0, -15402, -738684]$	$y^2+xy=x^3+x^2-15402x-738684$	2.3.0.a.1, 68.6.0.b.1, 322.6.0.?, 10948.12.0.?	$[(-73, 94)]$
82110.i2	82110i2	82110.i	82110i	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \cdot 23^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$10948$	$12$	$0$	$0.866967100$	$1$		$6$	$442368$	$1.558662$	$-36370300595789161/998842553849700$	$0.93294$	$3.71279$	$[1, 1, 0, -6902, -1539384]$	$y^2+xy=x^3+x^2-6902x-1539384$	2.3.0.a.1, 68.6.0.a.1, 644.6.0.?, 10948.12.0.?	$[(267, 3834)]$
82110.j1	82110k1	82110.j	82110k	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{4} \cdot 17 \cdot 23^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4692$	$2$	$0$	$1.220179186$	$1$		$4$	$322560$	$1.429337$	$255659765585028839/193086026683200$	$0.91443$	$3.54218$	$[1, 1, 0, 13223, 328741]$	$y^2+xy=x^3+x^2+13223x+328741$	4692.2.0.?	$[(42, 959)]$
82110.k1	82110j1	82110.k	82110j	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{7} \cdot 3^{8} \cdot 5 \cdot 7^{5} \cdot 17 \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$109480$	$2$	$0$	$3.813206815$	$1$		$0$	$322560$	$1.296625$	$-108859988535875641/27594146724480$	$1.05158$	$3.49883$	$[1, 1, 0, -9947, 453789]$	$y^2+xy=x^3+x^2-9947x+453789$	109480.2.0.?	$[(335/2, 3391/2)]$
82110.l1	82110h2	82110.l	82110h	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2 \cdot 3^{14} \cdot 5^{10} \cdot 7^{4} \cdot 17^{2} \cdot 23^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$0$	$18278400$	$3.295403$	$3147068188421053298171474041/788680523370266542968750$	$0.99249$	$5.59538$	$[1, 1, 0, -30530047, -48901755569]$	$y^2+xy=x^3+x^2-30530047x-48901755569$	2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.?	$[]$
82110.l2	82110h1	82110.l	82110h	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{2} \cdot 3^{7} \cdot 5^{5} \cdot 7^{2} \cdot 17^{4} \cdot 23^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$1$	$9139200$	$2.948830$	$10994948336738600373583079/16562182951339569337500$	$1.03458$	$5.13718$	$[1, 1, 0, 4632583, -4857045231]$	$y^2+xy=x^3+x^2+4632583x-4857045231$	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
82110.m1	82110o2	82110.m	82110o	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 17^{2} \cdot 23$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$0.530191996$	$1$		$8$	$718848$	$1.670036$	$2519031674995639224121/2326887372600$	$0.94076$	$4.35480$	$[1, 1, 0, -283467, 57972069]$	$y^2+xy=x^3+x^2-283467x+57972069$	2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.?	$[(305, -93)]$
82110.m2	82110o1	82110.m	82110o	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{6} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 17^{4} \cdot 23^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1.060383993$	$1$		$7$	$359424$	$1.323462$	$-601641224911452601/18705149346240$	$0.90174$	$3.62243$	$[1, 1, 0, -17587, 914221]$	$y^2+xy=x^3+x^2-17587x+914221$	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(30, 629)]$
82110.n1	82110m1	82110.n	82110m	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 7^{11} \cdot 17^{2} \cdot 23$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$10948$	$12$	$0$	$0.709241471$	$1$		$5$	$68710400$	$4.108246$	$68568427813115720165082374647297801/77522283886339031040000$	$1.02627$	$7.08859$	$[1, 1, 0, -8527076512, 303070218228736]$	$y^2+xy=x^3+x^2-8527076512x+303070218228736$	2.3.0.a.1, 68.6.0.b.1, 322.6.0.?, 10948.12.0.?	$[(54077, 279089)]$
82110.n2	82110m2	82110.n	82110m	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{22} \cdot 17 \cdot 23^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$10948$	$12$	$0$	$1.418482942$	$1$		$4$	$137420800$	$4.454819$	$-68515947871095382173576143857153801/72909892502590764377528755200$	$1.02628$	$7.08868$	$[1, 1, 0, -8524900512, 303232630081536]$	$y^2+xy=x^3+x^2-8524900512x+303232630081536$	2.3.0.a.1, 68.6.0.a.1, 644.6.0.?, 10948.12.0.?	$[(53127, 505944)]$
82110.o1	82110q4	82110.o	82110q	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{8} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 17 \cdot 23^{4}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$46920$	$48$	$0$	$1$	$4$	$2$	$0$	$2031616$	$2.280937$	$20337966805091038553406601/24168591095040$	$0.97322$	$5.14983$	$[1, 1, 0, -5686712, -5222003136]$	$y^2+xy=x^3+x^2-5686712x-5222003136$	2.3.0.a.1, 4.12.0-4.c.1.2, 170.6.0.?, 340.24.0.?, 552.24.0.?, $\ldots$	$[]$
82110.o2	82110q2	82110.o	82110q	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 17^{2} \cdot 23^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$23460$	$48$	$0$	$1$	$1$		$2$	$1015808$	$1.934362$	$4969222174347906673801/5412627298713600$	$0.94355$	$4.41484$	$[1, 1, 0, -355512, -81660096]$	$y^2+xy=x^3+x^2-355512x-81660096$	2.6.0.a.1, 4.12.0-2.a.1.1, 276.24.0.?, 340.24.0.?, 23460.48.0.?	$[]$
82110.o3	82110q3	82110.o	82110q	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{8} \cdot 3 \cdot 5^{4} \cdot 7^{8} \cdot 17^{4} \cdot 23$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$46920$	$48$	$0$	$1$	$1$		$2$	$2031616$	$2.280937$	$-2109582937351555472521/5315560665303840000$	$1.00538$	$4.48740$	$[1, 1, 0, -267192, -123117504]$	$y^2+xy=x^3+x^2-267192x-123117504$	2.3.0.a.1, 4.12.0-4.c.1.1, 276.24.0.?, 680.24.0.?, 46920.48.0.?	$[]$
82110.o4	82110q1	82110.o	82110q	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{32} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \cdot 23$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$46920$	$48$	$0$	$1$	$4$	$2$	$1$	$507904$	$1.587788$	$2384412229264108681/1234309176360960$	$0.98280$	$3.73950$	$[1, 1, 0, -27832, -592064]$	$y^2+xy=x^3+x^2-27832x-592064$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 276.12.0.?, 340.12.0.?, $\ldots$	$[]$
82110.p1	82110r2	82110.p	82110r	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 7^{16} \cdot 17^{2} \cdot 23$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$0$	$20275200$	$3.478161$	$19829765455701654453949002601/8245021800585445911705600$	$1.00273$	$5.75805$	$[1, 1, 0, -56389462, 86452482004]$	$y^2+xy=x^3+x^2-56389462x+86452482004$	2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.?	$[]$
82110.p2	82110r1	82110.p	82110r	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{22} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 17^{4} \cdot 23^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$1$	$10137600$	$3.131588$	$176029560259853298479008919/144221281677199917711360$	$0.99253$	$5.34055$	$[1, 1, 0, 11675818, 9906268116]$	$y^2+xy=x^3+x^2+11675818x+9906268116$	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
82110.q1	82110p1	82110.q	82110p	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{12} \cdot 3^{13} \cdot 5^{4} \cdot 7^{2} \cdot 17 \cdot 23^{11}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4692$	$2$	$0$	$1$	$1$		$0$	$183625728$	$4.563034$	$-8031037295101123163637345999575881/3239421604398803614051054080000$	$1.02558$	$6.94581$	$[1, 1, 0, -4172048132, -135120107513136]$	$y^2+xy=x^3+x^2-4172048132x-135120107513136$	4692.2.0.?	$[]$
82110.r1	82110n1	82110.r	82110n	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{5} \cdot 3^{8} \cdot 5^{11} \cdot 7 \cdot 17^{3} \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$109480$	$2$	$0$	$1.857536387$	$1$		$2$	$2534400$	$2.308575$	$370325508630629602679/8108914176562500000$	$0.96972$	$4.50409$	$[1, 1, 0, 149608, -135121056]$	$y^2+xy=x^3+x^2+149608x-135121056$	109480.2.0.?	$[(3143, 175616)]$
82110.s1	82110u1	82110.s	82110u	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{4} \cdot 3^{13} \cdot 5^{4} \cdot 7^{2} \cdot 17^{3} \cdot 23$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4692$	$2$	$0$	$0.111121276$	$1$		$36$	$1198080$	$1.933084$	$11355289913493692711/88276883291730000$	$0.94576$	$4.10016$	$[1, 0, 1, 46826, 13756472]$	$y^2+xy+y=x^3+46826x+13756472$	4692.2.0.?	$[(1156, 39584), (85, 4241)]$
82110.t1	82110t2	82110.t	82110t	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{2} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 17 \cdot 23^{2}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$54740$	$12$	$0$	$0.574090899$	$1$		$26$	$221184$	$1.121948$	$8540829276389929/4683663934740$	$0.90776$	$3.24180$	$[1, 0, 1, -4259, -24838]$	$y^2+xy+y=x^3-4259x-24838$	2.3.0.a.1, 170.6.0.?, 644.6.0.?, 54740.12.0.?	$[(93, 574), (-42, 304)]$
82110.t2	82110t1	82110.t	82110t	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 17^{2} \cdot 23$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$54740$	$12$	$0$	$0.574090899$	$1$		$25$	$110592$	$0.775374$	$1852211537521129/13567856400$	$0.86578$	$3.10673$	$[1, 0, 1, -2559, 49282]$	$y^2+xy+y=x^3-2559x+49282$	2.3.0.a.1, 322.6.0.?, 340.6.0.?, 54740.12.0.?	$[(26, 9), (35, 36)]$
82110.u1	82110s2	82110.u	82110s	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 17^{3} \cdot 23^{10}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$54740$	$12$	$0$	$1.675384810$	$1$		$16$	$23961600$	$3.531841$	$320723808872496523935142301209/4135958612138279753487360$	$1.00028$	$6.00402$	$[1, 0, 1, -142605354, -648136131428]$	$y^2+xy+y=x^3-142605354x-648136131428$	2.3.0.a.1, 170.6.0.?, 644.6.0.?, 54740.12.0.?	$[(61949, 15077265), (-6292, -3996)]$
82110.u2	82110s1	82110.u	82110s	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{6} \cdot 23^{5}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$54740$	$12$	$0$	$1.675384810$	$1$		$11$	$11980800$	$3.185268$	$527440803339012896847466009/256574315980928345702400$	$0.99769$	$5.43753$	$[1, 0, 1, -16832554, 10611485852]$	$y^2+xy+y=x^3-16832554x+10611485852$	2.3.0.a.1, 322.6.0.?, 340.6.0.?, 54740.12.0.?	$[(-1172, 170084), (5866, 334304)]$
82110.v1	82110x4	82110.v	82110x	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 17 \cdot 23$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$328440$	$48$	$0$	$5.116965899$	$1$		$10$	$1769472$	$2.142174$	$27732922385367321140481289/738990000$	$0.97420$	$5.17724$	$[1, 0, 1, -6306049, 6094619972]$	$y^2+xy+y=x^3-6306049x+6094619972$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 68.12.0-4.c.1.2, 680.24.0.?, $\ldots$	$[(1450, -709), (1540, 5243)]$
82110.v2	82110x3	82110.v	82110x	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{4} \cdot 3^{12} \cdot 5 \cdot 7^{4} \cdot 17 \cdot 23^{4}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$328440$	$48$	$0$	$0.319810368$	$1$		$36$	$1769472$	$2.142174$	$7127292253407506272009/485621011409582160$	$0.94610$	$4.44672$	$[1, 0, 1, -400929, 91746436]$	$y^2+xy+y=x^3-400929x+91746436$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 68.12.0-4.c.1.1, 170.6.0.?, $\ldots$	$[(119, 6702), (-364, 13947)]$
82110.v3	82110x2	82110.v	82110x	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \cdot 23^{2}$	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$164220$	$48$	$0$	$1.279241474$	$1$		$32$	$884736$	$1.795599$	$6770758168850023820809/34950798086400$	$0.94478$	$4.44218$	$[1, 0, 1, -394129, 95203556]$	$y^2+xy+y=x^3-394129x+95203556$	2.6.0.a.1, 20.12.0-2.a.1.1, 68.12.0-2.a.1.1, 340.24.0.?, 1932.12.0.?, $\ldots$	$[(379, 362), (358, -37)]$
82110.v4	82110x1	82110.v	82110x	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{16} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 17^{4} \cdot 23$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$328440$	$48$	$0$	$5.116965899$	$1$		$9$	$442368$	$1.449024$	$-1569019984870366729/118969397084160$	$0.90773$	$3.71340$	$[1, 0, 1, -24209, 1539812]$	$y^2+xy+y=x^3-24209x+1539812$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 136.12.0.?, 680.24.0.?, $\ldots$	$[(75, 346), (180, 1648)]$
82110.w1	82110w2	82110.w	82110w	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{13} \cdot 3^{16} \cdot 5 \cdot 7 \cdot 17^{2} \cdot 23^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$109480$	$12$	$0$	$1$	$1$		$0$	$2396160$	$2.351368$	$355421032796537292275209/1886911703957790720$	$0.95977$	$4.79219$	$[1, 0, 1, -1475729, -686964508]$	$y^2+xy+y=x^3-1475729x-686964508$	2.3.0.a.1, 280.6.0.?, 1564.6.0.?, 109480.12.0.?	$[]$
82110.w2	82110w1	82110.w	82110w	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{26} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 17 \cdot 23$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$109480$	$12$	$0$	$1$	$1$		$1$	$1198080$	$2.004791$	$-8268987682643852809/210893294429798400$	$0.95655$	$4.18594$	$[1, 0, 1, -42129, -22347548]$	$y^2+xy+y=x^3-42129x-22347548$	2.3.0.a.1, 280.6.0.?, 782.6.0.?, 109480.12.0.?	$[]$
82110.x1	82110z2	82110.x	82110z	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2 \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \cdot 23^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.265844682$	$1$		$10$	$270336$	$1.330715$	$923580740393079049/16049455024050$	$1.07878$	$3.65568$	$[1, 0, 1, -20289, 1093786]$	$y^2+xy+y=x^3-20289x+1093786$	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(68, 138)]$
82110.x2	82110z1	82110.x	82110z	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 17 \cdot 23^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$952$	$12$	$0$	$0.531689365$	$1$		$9$	$135168$	$0.984141$	$-6321363049/1032553777500$	$1.07605$	$3.10342$	$[1, 0, 1, -39, 48886]$	$y^2+xy+y=x^3-39x+48886$	2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?	$[(-19, 216)]$
82110.y1	82110v1	82110.y	82110v	$2$	$3$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{5} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 17 \cdot 23$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$46920$	$16$	$0$	$1.946449789$	$1$		$6$	$311040$	$1.399290$	$-11631799072827751609/5365528529760$	$0.91652$	$3.87962$	$[1, 0, 1, -47204, 3945026]$	$y^2+xy+y=x^3-47204x+3945026$	3.8.0-3.a.1.2, 15640.2.0.?, 46920.16.0.?	$[(156, 541)]$
82110.y2	82110v2	82110.y	82110v	$2$	$3$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{15} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 17^{3} \cdot 23^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$46920$	$16$	$0$	$5.839349369$	$1$		$0$	$933120$	$1.948597$	$4494665571299030231/107976391520256000$	$0.95338$	$4.12264$	$[1, 0, 1, 34381, 15620942]$	$y^2+xy+y=x^3+34381x+15620942$	3.8.0-3.a.1.1, 15640.2.0.?, 46920.16.0.?	$[(-489/2, 25265/2)]$
82110.z1	82110y4	82110.z	82110y	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{9} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 17^{2} \cdot 23^{12}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 3.8.0.2	2B, 3B.1.2	$2856$	$96$	$1$	$1$	$9$	$3$	$0$	$173187072$	$4.374535$	$3259680673368195763530660699476329/201095781785032168161288000000$	$1.08879$	$6.81939$	$[1, 0, 1, -3088994359, -62459382879718]$	$y^2+xy+y=x^3-3088994359x-62459382879718$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 24.48.0-24.y.1.13, $\ldots$	$[]$
82110.z2	82110y2	82110.z	82110y	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$2^{3} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 17^{6} \cdot 23^{4}$	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 3.8.0.1	2B, 3B.1.1	$2856$	$96$	$1$	$1$	$1$		$4$	$57729024$	$3.825230$	$18229509733721637057438776494969/84465268068629449376512200$	$1.00961$	$6.36106$	$[1, 0, 1, -548298544, 4921801751126]$	$y^2+xy+y=x^3-548298544x+4921801751126$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 24.48.0-24.y.1.15, $\ldots$	$[]$
82110.z3	82110y1	82110.z	82110y	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23$	$- 2^{6} \cdot 3^{24} \cdot 5^{4} \cdot 7^{3} \cdot 17^{3} \cdot 23^{2}$	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 3.8.0.1	2B, 3B.1.1	$2856$	$96$	$1$	$1$	$1$		$5$	$28864512$	$3.478657$	$-529793445280877735265310969/10070862368645180735640000$	$1.01089$	$5.74916$	$[1, 0, 1, -16857544, 154988557526]$	$y^2+xy+y=x^3-16857544x+154988557526$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 24.48.0-24.bw.1.15, $\ldots$	$[]$

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