LMFDB - Elliptic curves over $\Q$ of conductor 100800

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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	Manin constant

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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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
100800.a1	100800hj2	100800.a	100800hj	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{7} \cdot 5^{9} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.797843578$	$1$	$5$	$655360$	$1.649256$	$36594368/21$	$1.07507$	$4.06303$	$[0, 0, 0, -124500, -16900000]$	$y^2=x^3-124500x-16900000$	2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[(-206, 72)]$
100800.a2	100800hj1	100800.a	100800hj	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{6} \cdot 3^{8} \cdot 5^{9} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$3.595687156$	$1$	$3$	$327680$	$1.302681$	$-314432/441$	$0.84263$	$3.39598$	$[0, 0, 0, -6375, -362500]$	$y^2=x^3-6375x-362500$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(136, 1134)]$
100800.b1	100800p1	100800.b	100800p	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.728631553$	$1$	$5$	$196608$	$1.097677$	$55296/7$	$0.81576$	$3.24593$	$[0, 0, 0, -5400, -135000]$	$y^2=x^3-5400x-135000$	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(-50, 100)]$
100800.b2	100800p2	100800.b	100800p	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{6} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$3.457263107$	$1$	$5$	$393216$	$1.444250$	$11664/49$	$0.83745$	$3.51071$	$[0, 0, 0, 8100, -702000]$	$y^2=x^3+8100x-702000$	2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?	$[(85, 775)]$
100800.c1	100800cd2	100800.c	100800cd	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{19} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$2211840$	$2.389183$	$139798359/98$	$1.01524$	$4.82643$	$[0, 0, 0, -2335500, 1372950000]$	$y^2=x^3-2335500x+1372950000$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.?	$[ ]$
100800.c2	100800cd1	100800.c	100800cd	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{20} \cdot 3^{9} \cdot 5^{9} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$	$1$	$1105920$	$2.042610$	$59319/28$	$0.97255$	$4.15244$	$[0, 0, 0, -175500, 12150000]$	$y^2=x^3-175500x+12150000$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.?	$[ ]$
100800.d1	100800pd2	100800.d	100800pd	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{27} \cdot 3^{7} \cdot 5^{4} \cdot 7^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$168$	$16$	$0$	$5.967763443$	$1$	$10$	$995328$	$1.974344$	$-7620530425/526848$	$0.98174$	$4.19872$	$[0, 0, 0, -201900, -36945200]$	$y^2=x^3-201900x-36945200$	3.4.0.a.1, 24.8.0-3.a.1.4, 42.8.0-3.a.1.1, 168.16.0.?	$[(554, 4608), (3626, 216576)]$
100800.d2	100800pd1	100800.d	100800pd	$2$	$3$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{21} \cdot 3^{9} \cdot 5^{4} \cdot 7 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$168$	$16$	$0$	$0.663084827$	$1$	$18$	$331776$	$1.425037$	$2595575/1512$	$1.04999$	$3.49586$	$[0, 0, 0, 14100, -52400]$	$y^2=x^3+14100x-52400$	3.4.0.a.1, 24.8.0-3.a.1.3, 42.8.0-3.a.1.2, 168.16.0.?	$[(410, 8640), (26, 576)]$
100800.e1	100800hi1	100800.e	100800hi	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.384541619$	$1$	$5$	$196608$	$1.197809$	$5177717/189$	$0.97949$	$3.41610$	$[0, 0, 0, -10380, -394000]$	$y^2=x^3-10380x-394000$	2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[(-56, 108)]$
100800.e2	100800hi2	100800.e	100800hi	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{18} \cdot 3^{12} \cdot 5^{3} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.769083238$	$1$	$5$	$393216$	$1.544382$	$300763/35721$	$1.11388$	$3.63079$	$[0, 0, 0, 4020, -1402000]$	$y^2=x^3+4020x-1402000$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(205, 2835)]$
100800.f1	100800ej4	100800.f	100800ej	$4$	$6$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{14} \cdot 3^{8} \cdot 5^{6} \cdot 7^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$840$	$96$	$1$	$1$	$1$	$1$	$1327104$	$2.115406$	$2640279346000/3087$	$1.02245$	$4.73525$	$[0, 0, 0, -1645500, 812446000]$	$y^2=x^3-1645500x+812446000$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$	$[ ]$
100800.f2	100800ej3	100800.f	100800ej	$4$	$6$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$840$	$96$	$1$	$1$	$1$	$1$	$663552$	$1.768833$	$-10061824000/352947$	$1.07286$	$4.01624$	$[0, 0, 0, -102000, 12913000]$	$y^2=x^3-102000x+12913000$	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$	$[ ]$
100800.f3	100800ej2	100800.f	100800ej	$4$	$6$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{14} \cdot 3^{12} \cdot 5^{6} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$840$	$96$	$1$	$1$	$1$	$1$	$442368$	$1.566101$	$9826000/5103$	$0.97243$	$3.65014$	$[0, 0, 0, -25500, 502000]$	$y^2=x^3-25500x+502000$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$	$[ ]$
100800.f4	100800ej1	100800.f	100800ej	$4$	$6$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$840$	$96$	$1$	$1$	$1$	$1$	$221184$	$1.219528$	$2048000/1323$	$1.10843$	$3.27337$	$[0, 0, 0, 6000, 61000]$	$y^2=x^3+6000x+61000$	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$	$[ ]$
100800.g1	100800kk2	100800.g	100800kk	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{19} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.665608370$	$1$	$11$	$147456$	$1.035158$	$139798359/98$	$1.01524$	$3.41610$	$[0, 0, 0, -10380, 406800]$	$y^2=x^3-10380x+406800$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.?	$[(66, 96)]$
100800.g2	100800kk1	100800.g	100800kk	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.331216740$	$1$	$5$	$73728$	$0.688583$	$59319/28$	$0.97255$	$2.74210$	$[0, 0, 0, -780, 3600]$	$y^2=x^3-780x+3600$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.?	$[(0, 60)]$
100800.h1	100800hg1	100800.h	100800hg	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$3.091973116$	$1$	$2$	$184320$	$1.084524$	$-34560/7$	$0.61638$	$3.22451$	$[0, 0, 0, -4500, -135000]$	$y^2=x^3-4500x-135000$	14.2.0.a.1	$[(525, 11925)]$
100800.i1	100800eg1	100800.i	100800eg	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{14} \cdot 3^{6} \cdot 5^{11} \cdot 7^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$70$	$2$	$0$	$1$	$1$	$0$	$1290240$	$2.092068$	$-30211716096/1071875$	$1.00205$	$4.35238$	$[0, 0, 0, -370800, -89532000]$	$y^2=x^3-370800x-89532000$	70.2.0.a.1	$[ ]$
100800.j1	100800he1	100800.j	100800he	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$1.635790303$	$1$	$2$	$172032$	$1.008621$	$-324179200/63$	$0.92571$	$3.43359$	$[0, 0, 0, -11100, 450200]$	$y^2=x^3-11100x+450200$	14.2.0.a.1	$[(61, 9)]$
100800.k1	100800pb1	100800.k	100800pb	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{22} \cdot 5^{4} \cdot 7 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$1$	$1$	$0$	$1376256$	$2.226498$	$-427361108435200/301327047$	$1.03906$	$4.65682$	$[0, 0, 0, -1217100, -517132600]$	$y^2=x^3-1217100x-517132600$	14.2.0.a.1	$[ ]$
100800.l1	100800mo1	100800.l	100800mo	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{10} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$3.565893781$	$1$	$2$	$276480$	$1.325031$	$-6400/7$	$0.69269$	$3.42359$	$[0, 0, 0, -7500, 425000]$	$y^2=x^3-7500x+425000$	14.2.0.a.1	$[(61, 441)]$
100800.m1	100800mp1	100800.m	100800mp	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{6} \cdot 3^{6} \cdot 5^{9} \cdot 7^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$70$	$2$	$0$	$18.70681670$	$1$	$0$	$967680$	$1.932177$	$-88478050816/102942875$	$0.97384$	$4.05483$	$[0, 0, 0, -83550, -16128250]$	$y^2=x^3-83550x-16128250$	70.2.0.a.1	$[(462497105/1033, 5944105320325/1033)]$
100800.n1	100800hf1	100800.n	100800hf	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{29} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.1		$8$	$2$	$0$	$3.824617137$	$1$	$2$	$709632$	$1.826130$	$-1026590625/100352$	$1.12597$	$4.02848$	$[0, 0, 0, -103500, -13856400]$	$y^2=x^3-103500x-13856400$	8.2.0.a.1	$[(520, 8540)]$
100800.o1	100800hc2	100800.o	100800hc	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{14} \cdot 3^{13} \cdot 5^{3} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.825706291$	$1$	$5$	$2064384$	$2.339531$	$665567485783184/257298363$	$1.02231$	$4.79613$	$[0, 0, 0, -2078940, 1153362800]$	$y^2=x^3-2078940x+1153362800$	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(805, 1215)]$
100800.o2	100800hc1	100800.o	100800hc	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{20} \cdot 5^{3} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$3.651412582$	$1$	$3$	$1032192$	$1.992956$	$-1605176213504/1640558367$	$1.21224$	$4.12061$	$[0, 0, 0, -110640, 23558600]$	$y^2=x^3-110640x+23558600$	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(-170, 6120)]$
100800.p1	100800mg4	100800.p	100800mg	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{19} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.15	2B	$840$	$48$	$0$	$5.240113637$	$1$	$3$	$2359296$	$2.432735$	$2121328796049/120050$	$1.01959$	$4.95691$	$[0, 0, 0, -3854700, -2912814000]$	$y^2=x^3-3854700x-2912814000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 60.12.0-4.c.1.2, $\ldots$	$[(2829, 93933)]$
100800.p2	100800mg3	100800.p	100800mg	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{19} \cdot 3^{6} \cdot 5^{14} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$840$	$48$	$0$	$5.240113637$	$1$	$3$	$2359296$	$2.432735$	$74565301329/5468750$	$0.99962$	$4.66630$	$[0, 0, 0, -1262700, 510354000]$	$y^2=x^3-1262700x+510354000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 60.12.0-4.c.1.1, $\ldots$	$[(1104, 21492)]$
100800.p3	100800mg2	100800.p	100800mg	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{20} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.3	2Cs	$840$	$48$	$0$	$2.620056818$	$1$	$9$	$1179648$	$2.086159$	$611960049/122500$	$1.02632$	$4.24942$	$[0, 0, 0, -254700, -40014000]$	$y^2=x^3-254700x-40014000$	2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 60.12.0-2.a.1.1, $\ldots$	$[(-240, 2700)]$
100800.p4	100800mg1	100800.p	100800mg	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{22} \cdot 3^{6} \cdot 5^{8} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$840$	$48$	$0$	$5.240113637$	$1$	$1$	$589824$	$1.739586$	$1367631/2800$	$1.00023$	$3.80047$	$[0, 0, 0, 33300, -3726000]$	$y^2=x^3+33300x-3726000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$	$[(2385/2, 120825/2)]$
100800.q1	100800mh4	100800.q	100800mh	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{15} \cdot 3^{26} \cdot 5^{7} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.14	2B	$120$	$48$	$0$	$4.346901322$	$1$	$3$	$11796480$	$3.210857$	$2394165105226952/854262178245$	$1.02106$	$5.38650$	$[0, 0, 0, -20066700, -21424286000]$	$y^2=x^3-20066700x-21424286000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.bb.1.11, 40.24.0-40.v.1.6, $\ldots$	$[(-2995, 108675)]$
100800.q2	100800mh2	100800.q	100800mh	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{16} \cdot 5^{8} \cdot 7^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.2	2Cs	$120$	$48$	$0$	$8.693802644$	$1$	$3$	$5898240$	$2.864281$	$13507798771700416/3544416225$	$1.04886$	$5.35619$	$[0, 0, 0, -17861700, -29049176000]$	$y^2=x^3-17861700x-29049176000$	2.6.0.a.1, 4.12.0-2.a.1.2, 24.24.0-24.a.1.7, 40.24.0-40.a.1.7, 60.24.0-60.a.1.5, $\ldots$	$[(62410/3, 11472400/3)]$
100800.q3	100800mh1	100800.q	100800mh	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{11} \cdot 5^{7} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.14	2B	$120$	$48$	$0$	$17.38760528$	$1$	$1$	$2949120$	$2.517708$	$864335783029582144/59535$	$1.06386$	$5.35617$	$[0, 0, 0, -17860575, -29053019000]$	$y^2=x^3-17860575x-29053019000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.bb.1.3, 40.24.0-40.bb.1.4, $\ldots$	$[(137351560/129, 1333406836900/129)]$
100800.q4	100800mh3	100800.q	100800mh	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{15} \cdot 3^{11} \cdot 5^{10} \cdot 7^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.14	2B	$120$	$48$	$0$	$4.346901322$	$1$	$3$	$11796480$	$3.210857$	$-1141100604753992/875529151875$	$1.01539$	$5.39545$	$[0, 0, 0, -15674700, -36428114000]$	$y^2=x^3-15674700x-36428114000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.v.1.7, 40.24.0-40.bb.1.12, $\ldots$	$[(25070, 3915000)]$
100800.r1	100800mi4	100800.r	100800mi	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{15} \cdot 3^{13} \cdot 5^{10} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$77.74008751$	$1$	$1$	$165150720$	$4.460587$	$229625675762164624948320008/9568125$	$1.08161$	$7.58136$	$[0, 0, 0, -91854000300, -10715075262502000]$	$y^2=x^3-91854000300x-10715075262502000$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.bb.1, 56.12.0.ba.1, $\ldots$	$[(120143565605118114949259607739240480/552023282431637, 20155099151117887130167698664472627831933417878226700/552023282431637)]$
100800.r2	100800mi2	100800.r	100800mi	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{20} \cdot 5^{14} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$38.87004375$	$1$	$3$	$82575360$	$4.114014$	$448487713888272974160064/91549016015625$	$1.09640$	$6.85938$	$[0, 0, 0, -5740875300, -167423033752000]$	$y^2=x^3-5740875300x-167423033752000$	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 28.12.0.a.1, 120.24.0.?, $\ldots$	$[(6716078528056466230/6449213, 14972906304845253103310584200/6449213)]$
100800.r3	100800mi3	100800.r	100800mi	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{15} \cdot 3^{13} \cdot 5^{22} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$77.74008751$	$1$	$1$	$165150720$	$4.460587$	$-55486311952875723077768/801237030029296875$	$1.06446$	$6.86063$	$[0, 0, 0, -5721192300, -168628066378000]$	$y^2=x^3-5721192300x-168628066378000$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.v.1, 56.12.0.ba.1, $\ldots$	$[(95523881114293158179860861638239509/769184665142657, 25404952989045704531289659582600366807458150755661023/769184665142657)]$
100800.r4	100800mi1	100800.r	100800mi	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{34} \cdot 5^{10} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$77.74008751$	$1$	$1$	$41287680$	$3.767441$	$7079962908642659949376/100085966990454375$	$1.08828$	$6.13830$	$[0, 0, 0, -360035175, -2597139043000]$	$y^2=x^3-360035175x-2597139043000$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0.h.1, 40.12.0-4.c.1.5, $\ldots$	$[(22752512056765512945022673074627580/750702239660311, 2951606732469035615668538568774329454889601069238950/750702239660311)]$
100800.s1	100800cb1	100800.s	100800cb	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{15} \cdot 3^{3} \cdot 5^{4} \cdot 7 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$0.358859288$	$1$	$16$	$46080$	$0.532763$	$-5400/7$	$0.82184$	$2.59533$	$[0, 0, 0, -300, 3600]$	$y^2=x^3-300x+3600$	168.2.0.?	$[(10, 40), (0, 60)]$
100800.t1	100800ji1	100800.t	100800ji	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{31} \cdot 3^{3} \cdot 5^{2} \cdot 7 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$2.536786394$	$1$	$8$	$239616$	$1.177792$	$10733445/57344$	$1.13541$	$3.23658$	$[0, 0, 0, 2580, 144720]$	$y^2=x^3+2580x+144720$	168.2.0.?	$[(154, 2048), (-246/5, 43008/5)]$
100800.u1	100800md4	100800.u	100800md	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{17} \cdot 3^{18} \cdot 5^{7} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$5.543275682$	$1$	$3$	$2359296$	$2.480499$	$282678688658/18600435$	$0.96223$	$4.72180$	$[0, 0, 0, -1562700, 707866000]$	$y^2=x^3-1562700x+707866000$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 56.12.0-4.c.1.3, $\ldots$	$[(2460, 108400)]$
100800.u2	100800md2	100800.u	100800md	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{16} \cdot 3^{12} \cdot 5^{8} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$2.771637841$	$1$	$9$	$1179648$	$2.133926$	$4108974916/893025$	$0.92620$	$4.29438$	$[0, 0, 0, -302700, -50654000]$	$y^2=x^3-302700x-50654000$	2.6.0.a.1, 24.12.0.a.1, 28.12.0-2.a.1.2, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, $\ldots$	$[(-340, 3600)]$
100800.u3	100800md1	100800.u	100800md	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$5.543275682$	$1$	$3$	$589824$	$1.787352$	$13674725584/945$	$0.91464$	$4.27842$	$[0, 0, 0, -284700, -58466000]$	$y^2=x^3-284700x-58466000$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.1, 56.12.0-4.c.1.3, $\ldots$	$[(714, 10112)]$
100800.u4	100800md3	100800.u	100800md	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{17} \cdot 3^{9} \cdot 5^{10} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.385818920$	$1$	$7$	$2359296$	$2.480499$	$22208984782/40516875$	$0.97092$	$4.56754$	$[0, 0, 0, 669300, -309206000]$	$y^2=x^3+669300x-309206000$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.3, $\ldots$	$[(674, 21168)]$
100800.v1	100800me6	100800.v	100800me	$6$	$8$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{18} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.13	2B	$1680$	$192$	$1$	$7.458178725$	$1$	$3$	$2097152$	$2.467953$	$53297461115137/147$	$1.05087$	$5.23673$	$[0, 0, 0, -11289900, -14601022000]$	$y^2=x^3-11289900x-14601022000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(8464, 704412)]$
100800.v2	100800me4	100800.v	100800me	$6$	$8$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{18} \cdot 3^{8} \cdot 5^{6} \cdot 7^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$3.729089362$	$1$	$9$	$1048576$	$2.121376$	$13027640977/21609$	$1.08149$	$4.51487$	$[0, 0, 0, -705900, -227950000]$	$y^2=x^3-705900x-227950000$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(-475, 425)]$
100800.v3	100800me3	100800.v	100800me	$6$	$8$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{18} \cdot 3^{14} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.88	2B	$1680$	$192$	$1$	$3.729089362$	$1$	$5$	$1048576$	$2.121376$	$6570725617/45927$	$1.00160$	$4.45546$	$[0, 0, 0, -561900, 161138000]$	$y^2=x^3-561900x+161138000$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$	$[(560, 4700)]$
100800.v4	100800me5	100800.v	100800me	$6$	$8$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{18} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.90	2B	$1680$	$192$	$1$	$7.458178725$	$1$	$3$	$2097152$	$2.467953$	$-4354703137/17294403$	$1.04266$	$4.59874$	$[0, 0, 0, -489900, -370078000]$	$y^2=x^3-489900x-370078000$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$	$[(8165, 734825)]$
100800.v5	100800me2	100800.v	100800me	$6$	$8$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{18} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.10	2Cs	$840$	$192$	$1$	$1.864544681$	$1$	$11$	$524288$	$1.774803$	$7189057/3969$	$1.14862$	$3.86368$	$[0, 0, 0, -57900, -1150000]$	$y^2=x^3-57900x-1150000$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(400, 6300)]$
100800.v6	100800me1	100800.v	100800me	$6$	$8$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{18} \cdot 3^{8} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.1	2B	$1680$	$192$	$1$	$3.729089362$	$1$	$3$	$262144$	$1.428230$	$103823/63$	$0.97868$	$3.49586$	$[0, 0, 0, 14100, -142000]$	$y^2=x^3+14100x-142000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$	$[(266, 4736)]$
100800.w1	100800ed4	100800.w	100800ed	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{15} \cdot 3^{11} \cdot 5^{9} \cdot 7^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$1$	$1$	$11796480$	$3.305485$	$7347751505995469192/72930375$	$1.03884$	$6.08342$	$[0, 0, 0, -291614700, 1916735686000]$	$y^2=x^3-291614700x+1916735686000$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.3, $\ldots$	$[ ]$

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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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