LMFDB - Elliptic curves over $\Q$ of conductor 13566

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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 (42 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	Semistable	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
13566.a1	13566c1	13566.a	13566c	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{2} \cdot 3 \cdot 7^{4} \cdot 17^{2} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.4	2B	$456$	$12$	$0$	$0.711076135$	$1$		$7$	$4864$	$0.333580$	$3311280267625/158206692$	$0.86065$	$3.02968$	$[1, 1, 0, -310, 1888]$	$y^2+xy=x^3+x^2-310x+1888$	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(6, 14)]$
13566.a2	13566c2	13566.a	13566c	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{4} \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.5	2B	$456$	$12$	$0$	$0.355538067$	$1$		$8$	$9728$	$0.680154$	$639390008375/26593253442$	$0.91719$	$3.30463$	$[1, 1, 0, 180, 7866]$	$y^2+xy=x^3+x^2+180x+7866$	2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.?	$[(-13, 66)]$
13566.b1	13566d1	13566.b	13566d	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 17 \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2584$	$12$	$0$	$0.643931740$	$1$		$9$	$18432$	$1.005327$	$221253017454015625/14030065728$	$0.96966$	$4.19724$	$[1, 1, 0, -12600, 539136]$	$y^2+xy=x^3+x^2-12600x+539136$	2.3.0.a.1, 34.6.0.a.1, 152.6.0.?, 2584.12.0.?	$[(72, 72)]$
13566.b2	13566d2	13566.b	13566d	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{3} \cdot 3^{12} \cdot 7^{4} \cdot 17^{2} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2584$	$12$	$0$	$1.287863480$	$1$		$6$	$36864$	$1.351900$	$-183584550699663625/56051681735448$	$0.93750$	$4.22215$	$[1, 1, 0, -11840, 607992]$	$y^2+xy=x^3+x^2-11840x+607992$	2.3.0.a.1, 68.6.0.c.1, 152.6.0.?, 2584.12.0.?	$[(53, 338)]$
13566.c1	13566a3	13566.c	13566a	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{5} \cdot 3^{28} \cdot 7^{3} \cdot 17 \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$54264$	$48$	$0$	$20.09659538$	$4$	$2$	$0$	$913920$	$2.851017$	$759465290701680853951645993/81103902697365575328$	$1.01310$	$6.50474$	$[1, 1, 0, -19007634, -31901270508]$	$y^2+xy=x^3+x^2-19007634x-31901270508$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 136.12.0.?, 408.24.0.?, $\ldots$	$[(-2470126451/989, 2744214781847/989)]$
13566.c2	13566a4	13566.c	13566a	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{5} \cdot 3^{7} \cdot 7^{12} \cdot 17 \cdot 19^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$54264$	$48$	$0$	$20.09659538$	$1$		$0$	$913920$	$2.851017$	$41796972439664468236420393/2146043726866714536288$	$1.00620$	$6.19999$	$[1, 1, 0, -7230034, 7140039508]$	$y^2+xy=x^3+x^2-7230034x+7140039508$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 136.12.0.?, 408.24.0.?, $\ldots$	$[(10022882319/667, 993262667319746/667)]$
13566.c3	13566a2	13566.c	13566a	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{10} \cdot 3^{14} \cdot 7^{6} \cdot 17^{2} \cdot 19^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$54264$	$48$	$0$	$10.04829769$	$1$		$2$	$456960$	$2.504444$	$232687096283587102598953/60116101281448805376$	$0.99533$	$5.65446$	$[1, 1, 0, -1281394, -415923020]$	$y^2+xy=x^3+x^2-1281394x-415923020$	2.6.0.a.1, 12.12.0-2.a.1.1, 136.12.0.?, 408.24.0.?, 532.12.0.?, $\ldots$	$[(-453420/23, 94300010/23)]$
13566.c4	13566a1	13566.c	13566a	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{20} \cdot 3^{7} \cdot 7^{3} \cdot 17^{4} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$54264$	$48$	$0$	$20.09659538$	$1$		$1$	$228480$	$2.157871$	$862177024590009587927/1248222776141021184$	$0.98462$	$5.10888$	$[1, 1, 0, 198286, -41563980]$	$y^2+xy=x^3+x^2+198286x-41563980$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 136.12.0.?, 408.24.0.?, $\ldots$	$[(8722754845/1247, 811786755282165/1247)]$
13566.d1	13566g4	13566.d	13566g	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{5} \cdot 3^{12} \cdot 7^{4} \cdot 17 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$54264$	$48$	$0$	$1$	$1$		$0$	$53760$	$1.455069$	$19286283749679582553/13188630996576$	$0.95456$	$4.66678$	$[1, 1, 0, -55869, 5056605]$	$y^2+xy=x^3+x^2-55869x+5056605$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 168.24.0.?, 1292.12.0.?, $\ldots$	$[]$
13566.d2	13566g3	13566.d	13566g	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{5} \cdot 3^{3} \cdot 7 \cdot 17^{4} \cdot 19^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$54264$	$48$	$0$	$1$	$1$		$0$	$53760$	$1.455069$	$4513533266433569113/65829699377568$	$0.94826$	$4.51415$	$[1, 1, 0, -34429, -2442083]$	$y^2+xy=x^3+x^2-34429x-2442083$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$	$[]$
13566.d3	13566g2	13566.d	13566g	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 17^{2} \cdot 19^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$54264$	$48$	$0$	$1$	$1$		$2$	$26880$	$1.108494$	$8132363365539673/3816177878016$	$0.93428$	$3.85007$	$[1, 1, 0, -4189, 43645]$	$y^2+xy=x^3+x^2-4189x+43645$	2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 1292.12.0.?, $\ldots$	$[]$
13566.d4	13566g1	13566.d	13566g	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{20} \cdot 3^{3} \cdot 7 \cdot 17 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$54264$	$48$	$0$	$1$	$4$	$2$	$1$	$13440$	$0.761921$	$89093018542247/64012419072$	$0.90905$	$3.37568$	$[1, 1, 0, 931, 5757]$	$y^2+xy=x^3+x^2+931x+5757$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$	$[]$
13566.e1	13566b1	13566.e	13566b	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{11} \cdot 3^{5} \cdot 7 \cdot 17^{3} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$2856$	$2$	$0$	$4.378626682$	$1$		$2$	$47520$	$1.143492$	$10033949469247703/6178573707264$	$0.95010$	$3.87215$	$[1, 1, 0, 4494, -27468]$	$y^2+xy=x^3+x^2+4494x-27468$	2856.2.0.?	$[(313, 5515)]$
13566.f1	13566e1	13566.f	13566e	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{7} \cdot 3 \cdot 7^{3} \cdot 17 \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$2856$	$2$	$0$	$1.091346789$	$1$		$2$	$11424$	$0.420621$	$-2338337977417/808316544$	$0.86458$	$3.04234$	$[1, 1, 0, -276, -2352]$	$y^2+xy=x^3+x^2-276x-2352$	2856.2.0.?	$[(37, 181)]$
13566.g1	13566f1	13566.g	13566f	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{18} \cdot 3^{2} \cdot 7^{2} \cdot 17^{5} \cdot 19^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2584$	$12$	$0$	$2.412486736$	$1$		$3$	$1658880$	$2.964828$	$185161820122322438150224729/7722265410385083629568$	$1.01006$	$6.35641$	$[1, 1, 0, -11874333, -15176159235]$	$y^2+xy=x^3+x^2-11874333x-15176159235$	2.3.0.a.1, 34.6.0.a.1, 152.6.0.?, 2584.12.0.?	$[(11130, 1104195)]$
13566.g2	13566f2	13566.g	13566f	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{9} \cdot 3^{4} \cdot 7^{4} \cdot 17^{10} \cdot 19^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2584$	$12$	$0$	$4.824973472$	$1$		$2$	$3317760$	$3.311401$	$20316451165851373862053031/1376883376331442936509952$	$1.04272$	$6.62384$	$[1, 1, 0, 5684707, -56211635715]$	$y^2+xy=x^3+x^2+5684707x-56211635715$	2.3.0.a.1, 68.6.0.c.1, 152.6.0.?, 2584.12.0.?	$[(8545, 780830)]$
13566.h1	13566j3	13566.h	13566j	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{2} \cdot 3^{4} \cdot 7^{2} \cdot 17^{8} \cdot 19 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$456$	$48$	$0$	$0.999833863$	$1$		$10$	$73728$	$1.636917$	$4956765426045270937/2104195377533004$	$0.96245$	$4.52400$	$[1, 0, 1, -35522, 1327160]$	$y^2+xy+y=x^3-35522x+1327160$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 76.24.0.?, 456.48.0.?	$[(204, 1504)]$
13566.h2	13566j2	13566.h	13566j	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{4} \cdot 3^{2} \cdot 7^{4} \cdot 17^{4} \cdot 19^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$228$	$48$	$0$	$1.999667727$	$1$		$8$	$36864$	$1.290342$	$533950585848403417/10424555349264$	$0.93807$	$4.28983$	$[1, 0, 1, -16902, -832760]$	$y^2+xy+y=x^3-16902x-832760$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.?	$[(358, 6068)]$
13566.h3	13566j1	13566.h	13566j	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{8} \cdot 3 \cdot 7^{2} \cdot 17^{2} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$456$	$48$	$0$	$3.999335454$	$1$		$3$	$18432$	$0.943769$	$526404369443051737/206637312$	$0.99230$	$4.28833$	$[1, 0, 1, -16822, -841144]$	$y^2+xy+y=x^3-16822x-841144$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$	$[(150, 52)]$
13566.h4	13566j4	13566.h	13566j	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{2} \cdot 3 \cdot 7^{8} \cdot 17^{2} \cdot 19^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$456$	$48$	$0$	$3.999335454$	$1$		$0$	$73728$	$1.636917$	$9323320270823/2605420420727628$	$1.04899$	$4.51389$	$[1, 0, 1, 438, -2455784]$	$y^2+xy+y=x^3+438x-2455784$	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 152.24.0.?, $\ldots$	$[(3460/3, 194249/3)]$
13566.i1	13566h1	13566.i	13566h	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2 \cdot 3^{2} \cdot 7 \cdot 17 \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$18088$	$2$	$0$	$1.166396993$	$1$		$2$	$1216$	$-0.436552$	$-15625/40698$	$0.89631$	$1.89892$	$[1, 0, 1, -1, -10]$	$y^2+xy+y=x^3-x-10$	18088.2.0.?	$[(4, 5)]$
13566.j1	13566k1	13566.j	13566k	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{5} \cdot 3^{6} \cdot 7 \cdot 17^{3} \cdot 19 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$54264$	$16$	$0$	$1.925404728$	$1$		$6$	$8640$	$0.642592$	$-6842767821625/15243191712$	$0.89122$	$3.27189$	$[1, 0, 1, -396, 6634]$	$y^2+xy+y=x^3-396x+6634$	3.8.0-3.a.1.2, 18088.2.0.?, 54264.16.0.?	$[(-16, 102)]$
13566.j2	13566k2	13566.j	13566k	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{15} \cdot 3^{2} \cdot 7^{3} \cdot 17 \cdot 19^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$54264$	$16$	$0$	$0.641801576$	$1$		$4$	$25920$	$1.191898$	$4460753439308375/11794955010048$	$0.93463$	$3.92067$	$[1, 0, 1, 3429, -145754]$	$y^2+xy+y=x^3+3429x-145754$	3.8.0-3.a.1.1, 18088.2.0.?, 54264.16.0.?	$[(38, 180)]$
13566.k1	13566i1	13566.k	13566i	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2 \cdot 3^{11} \cdot 7 \cdot 17 \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$2856$	$2$	$0$	$0.183377192$	$1$		$6$	$9504$	$0.634483$	$-618688004761/15220115946$	$0.90879$	$3.24990$	$[1, 0, 1, -178, 5990]$	$y^2+xy+y=x^3-178x+5990$	2856.2.0.?	$[(16, 77)]$
13566.l1	13566p1	13566.l	13566p	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{3} \cdot 3^{4} \cdot 7 \cdot 17 \cdot 19^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$18088$	$2$	$0$	$1$	$1$		$0$	$8064$	$0.539391$	$-161282338400737/528911208$	$0.88961$	$3.43865$	$[1, 1, 1, -1134, -15213]$	$y^2+xy+y=x^3+x^2-1134x-15213$	18088.2.0.?	$[]$
13566.m1	13566l3	13566.m	13566l	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2 \cdot 3^{3} \cdot 7 \cdot 17^{8} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$3192$	$48$	$0$	$8.438815554$	$4$	$2$	$0$	$79872$	$1.461432$	$7101281816103496897/50099889941262$	$0.95020$	$4.56178$	$[1, 1, 1, -40044, -3082113]$	$y^2+xy+y=x^3+x^2-40044x-3082113$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.bb.1.13, 228.12.0.?, $\ldots$	$[(-7879/8, 45063/8)]$
13566.m2	13566l2	13566.m	13566l	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 17^{4} \cdot 19^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$3192$	$48$	$0$	$4.219407777$	$1$		$6$	$39936$	$1.114859$	$7813429445648737/4308107057604$	$0.95089$	$3.84586$	$[1, 1, 1, -4134, 20511]$	$y^2+xy+y=x^3+x^2-4134x+20511$	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.4, 228.24.0.?, 3192.48.0.?	$[(-67, 81)]$
13566.m3	13566l1	13566.m	13566l	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 17^{2} \cdot 19 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$3192$	$48$	$0$	$2.109703888$	$1$		$9$	$19968$	$0.768285$	$3469903405095457/5695440912$	$1.07183$	$3.76056$	$[1, 1, 1, -3154, 66767]$	$y^2+xy+y=x^3+x^2-3154x+66767$	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.bb.1.2, 114.6.0.?, 228.24.0.?, $\ldots$	$[(-65, 81)]$
13566.m4	13566l4	13566.m	13566l	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2 \cdot 3^{12} \cdot 7 \cdot 17^{2} \cdot 19^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$3192$	$48$	$0$	$8.438815554$	$1$		$0$	$79872$	$1.461432$	$461185788415532543/280217554681806$	$0.97162$	$4.27443$	$[1, 1, 1, 16096, 182351]$	$y^2+xy+y=x^3+x^2+16096x+182351$	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.v.1.1, 456.24.0.?, 3192.48.0.?	$[(-389/6, 19519/6)]$
13566.n1	13566m1	13566.n	13566m	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{31} \cdot 3^{7} \cdot 7^{3} \cdot 17 \cdot 19^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$2856$	$2$	$0$	$1$	$1$		$0$	$1979040$	$3.221291$	$-999332228994539284564820200801/9886188614939836416$	$1.02978$	$7.25954$	$[1, 1, 1, -208286950, -1157107697437]$	$y^2+xy+y=x^3+x^2-208286950x-1157107697437$	2856.2.0.?	$[]$
13566.o1	13566n3	13566.o	13566n	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{7} \cdot 3 \cdot 7^{4} \cdot 17 \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$2856$	$48$	$0$	$1$	$4$	$2$	$0$	$293888$	$2.314156$	$219574571910874577901865873/5658215808$	$1.00988$	$6.37432$	$[1, 1, 1, -12568577, -17155756417]$	$y^2+xy+y=x^3+x^2-12568577x-17155756417$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0-4.c.1.5, 68.12.0-4.c.1.1, $\ldots$	$[]$
13566.o2	13566n4	13566.o	13566n	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{7} \cdot 3 \cdot 7 \cdot 17^{4} \cdot 19^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$2856$	$48$	$0$	$1$	$1$		$0$	$293888$	$2.314156$	$56406165681818487184273/3812885445592906368$	$0.98640$	$5.50553$	$[1, 1, 1, -798977, -258664321]$	$y^2+xy+y=x^3+x^2-798977x-258664321$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 28.12.0-4.c.1.1, 136.12.0.?, $\ldots$	$[]$
13566.o3	13566n2	13566.o	13566n	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{14} \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \cdot 19^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$2856$	$48$	$0$	$1$	$1$		$2$	$146944$	$1.967583$	$53607269151751549932433/272126462017536$	$0.98508$	$5.50018$	$[1, 1, 1, -785537, -268303489]$	$y^2+xy+y=x^3+x^2-785537x-268303489$	2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 168.24.0.?, $\ldots$	$[]$
13566.o4	13566n1	13566.o	13566n	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{28} \cdot 3^{4} \cdot 7 \cdot 17 \cdot 19^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$2856$	$48$	$0$	$1$	$1$		$1$	$73472$	$1.621010$	$-12428114143531684753/934069219098624$	$0.95399$	$4.63343$	$[1, 1, 1, -48257, -4357249]$	$y^2+xy+y=x^3+x^2-48257x-4357249$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.2, 68.12.0-4.c.1.2, $\ldots$	$[]$
13566.p1	13566o1	13566.p	13566o	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{11} \cdot 3^{18} \cdot 7 \cdot 17 \cdot 19 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$18088$	$2$	$0$	$1$	$1$		$0$	$120384$	$1.607548$	$116465218041507551/1793961422088192$	$0.97024$	$4.47065$	$[1, 1, 1, 10174, -1994929]$	$y^2+xy+y=x^3+x^2+10174x-1994929$	18088.2.0.?	$[]$
13566.q1	13566q1	13566.q	13566q	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{5} \cdot 3^{12} \cdot 7^{3} \cdot 17 \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$18088$	$2$	$0$	$0.172586595$	$1$		$8$	$74880$	$1.586720$	$-664779294907165541377/1884090142368$	$0.96919$	$5.03882$	$[1, 0, 0, -181824, 29826720]$	$y^2+xy=x^3-181824x+29826720$	18088.2.0.?	$[(228, 372)]$
13566.r1	13566r1	13566.r	13566r	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{10} \cdot 3^{4} \cdot 7^{2} \cdot 17 \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2584$	$12$	$0$	$0.180271140$	$1$		$13$	$15360$	$0.723521$	$192549837768625/24942339072$	$0.96080$	$3.45668$	$[1, 0, 0, -1203, 14049]$	$y^2+xy=x^3-1203x+14049$	2.3.0.a.1, 34.6.0.a.1, 152.6.0.?, 2584.12.0.?	$[(6, 81)]$
13566.r2	13566r2	13566.r	13566r	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{5} \cdot 3^{8} \cdot 7^{4} \cdot 17^{2} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2584$	$12$	$0$	$0.360542281$	$1$		$10$	$30720$	$1.070095$	$685545690359375/2767984283232$	$1.04038$	$3.77803$	$[1, 0, 0, 1837, 74241]$	$y^2+xy=x^3+1837x+74241$	2.3.0.a.1, 68.6.0.c.1, 152.6.0.?, 2584.12.0.?	$[(10, 301)]$
13566.s1	13566t2	13566.s	13566t	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2 \cdot 3^{2} \cdot 7^{3} \cdot 17^{3} \cdot 19^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$54264$	$16$	$0$	$7.273720359$	$1$		$0$	$139968$	$1.961012$	$-561469581977282220768625/208053100458$	$0.99272$	$5.74703$	$[1, 0, 0, -1718703, -867403341]$	$y^2+xy=x^3-1718703x-867403341$	3.8.0-3.a.1.1, 18088.2.0.?, 54264.16.0.?	$[(6111/2, 62349/2)]$
13566.s2	13566t1	13566.s	13566t	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{3} \cdot 3^{6} \cdot 7^{9} \cdot 17 \cdot 19 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$54264$	$16$	$0$	$2.424573453$	$1$		$6$	$46656$	$1.411707$	$-1002837679918908625/76015542235752$	$0.94230$	$4.36900$	$[1, 0, 0, -20853, -1234359]$	$y^2+xy=x^3-20853x-1234359$	3.8.0-3.a.1.2, 18088.2.0.?, 54264.16.0.?	$[(168, 21)]$
13566.t1	13566s1	13566.t	13566s	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ 2^{10} \cdot 3^{7} \cdot 7^{8} \cdot 17^{2} \cdot 19 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.4	2B	$456$	$12$	$0$	$0.143179076$	$1$		$15$	$125440$	$1.987919$	$1252553990449987212625/70889922816427008$	$0.97263$	$5.10539$	$[1, 0, 0, -224573, -38926479]$	$y^2+xy=x^3-224573x-38926479$	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(-278, 1567)]$
13566.t2	13566s2	13566.t	13566s	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 $	$ - 2^{5} \cdot 3^{14} \cdot 7^{4} \cdot 17^{4} \cdot 19^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.5	2B	$456$	$12$	$0$	$0.286358152$	$1$		$12$	$250880$	$2.334492$	$449485901393767859375/11080072238736418848$	$1.03862$	$5.38948$	$[1, 0, 0, 159587, -158246575]$	$y^2+xy=x^3+159587x-158246575$	2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.?	$[(1094, 35867)]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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