LMFDB - Elliptic curves over $\Q$ of conductor 50400

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

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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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	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
50400.a1	50400eg1	50400.a	50400eg	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 7 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.421163838$	$1$		$11$	$32768$	$0.497963$	$36594368/21$	$1.07507$	$3.04720$	$[0, 0, 0, -1245, 16900]$	$y^2=x^3-1245x+16900$	2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[(29, 72), (21, 4)]$
50400.a2	50400eg2	50400.a	50400eg	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{3} \cdot 7^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.605290959$	$1$		$27$	$65536$	$0.844537$	$-314432/441$	$0.84263$	$3.10563$	$[0, 0, 0, -1020, 23200]$	$y^2=x^3-1020x+23200$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(86, 756), (30, 140)]$
50400.b1	50400dk1	50400.b	50400dk	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{7} \cdot 5^{8} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.988736135$	$1$		$7$	$368640$	$1.737215$	$4446542056384/25725$	$1.10048$	$4.57439$	$[0, 0, 0, -308325, 65896000]$	$y^2=x^3-308325x+65896000$	2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.?	$[(335, 450)]$
50400.b2	50400dk2	50400.b	50400dk	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{7} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.977472270$	$1$		$5$	$737280$	$2.083786$	$-65743598656/5294205$	$1.08536$	$4.58132$	$[0, 0, 0, -302700, 68416000]$	$y^2=x^3-302700x+68416000$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(260, 2700)]$
50400.c1	50400dj4	50400.c	50400dj	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{10} \cdot 5^{7} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.802694197$	$1$		$3$	$196608$	$1.524294$	$11512557512/2835$	$0.92005$	$4.21633$	$[0, 0, 0, -84675, -9481750]$	$y^2=x^3-84675x-9481750$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 56.12.0-4.c.1.6, $\ldots$	$[(-166, 2)]$
50400.c2	50400dj3	50400.c	50400dj	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{7} \cdot 5^{7} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$0.950673549$	$1$		$7$	$196608$	$1.524294$	$1184287112/36015$	$1.05323$	$4.00628$	$[0, 0, 0, -39675, 2960750]$	$y^2=x^3-39675x+2960750$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.1, 56.12.0-4.c.1.6, $\ldots$	$[(85, 450)]$
50400.c3	50400dj1	50400.c	50400dj	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$1.901347098$	$1$		$11$	$98304$	$1.177719$	$31554496/11025$	$0.86726$	$3.47943$	$[0, 0, 0, -5925, -110500]$	$y^2=x^3-5925x-110500$	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 56.12.0-2.a.1.2, 84.12.0.?, $\ldots$	$[(-41, 252)]$
50400.c4	50400dj2	50400.c	50400dj	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{10} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$0.950673549$	$1$		$7$	$196608$	$1.524294$	$13144256/13125$	$0.87001$	$3.78265$	$[0, 0, 0, 17700, -772000]$	$y^2=x^3+17700x-772000$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 56.12.0-4.c.1.6, $\ldots$	$[(70, 900)]$
50400.d1	50400f1	50400.d	50400f	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{9} \cdot 3^{3} \cdot 5^{10} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$3.340084448$	$1$		$2$	$57600$	$0.990909$	$-5400/7$	$0.82184$	$3.26922$	$[0, 0, 0, -1875, -56250]$	$y^2=x^3-1875x-56250$	168.2.0.?	$[(69, 378)]$
50400.e1	50400e1	50400.e	50400e	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$5.501497643$	$1$		$3$	$92160$	$1.109768$	$42581671488/875$	$0.99850$	$3.84069$	$[0, 0, 0, -21825, -1241000]$	$y^2=x^3-21825x-1241000$	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(1140, 38150)]$
50400.e2	50400e2	50400.e	50400e	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{9} \cdot 3^{3} \cdot 5^{12} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$2.750748821$	$1$		$5$	$184320$	$1.456343$	$-4792616856/765625$	$0.92920$	$3.85352$	$[0, 0, 0, -21075, -1330250]$	$y^2=x^3-21075x-1330250$	2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.?	$[(185, 1050)]$
50400.f1	50400bb4	50400.f	50400bb	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{18} \cdot 5^{9} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.13	2B	$120$	$48$	$0$	$1$	$1$		$1$	$1769472$	$2.766586$	$60910917333827912/3255076125$	$1.02087$	$5.64613$	$[0, 0, 0, -14754675, -21813358250]$	$y^2=x^3-14754675x-21813358250$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.15, $\ldots$	$[]$
50400.f2	50400bb3	50400.f	50400bb	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{9} \cdot 5^{9} \cdot 7^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.13	2B	$120$	$48$	$0$	$1$	$1$		$1$	$1769472$	$2.766586$	$257307998572864/19456203375$	$1.03370$	$5.33328$	$[0, 0, 0, -4770300, 3739048000]$	$y^2=x^3-4770300x+3739048000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
50400.f3	50400bb1	50400.f	50400bb	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{12} \cdot 5^{12} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.2	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$884736$	$2.420013$	$139927692143296/27348890625$	$1.03575$	$4.89292$	$[0, 0, 0, -973425, -300827000]$	$y^2=x^3-973425x-300827000$	2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.a.1.5, $\ldots$	$[]$
50400.f4	50400bb2	50400.f	50400bb	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{9} \cdot 3^{9} \cdot 5^{18} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.13	2B	$120$	$48$	$0$	$1$	$1$		$1$	$1769472$	$2.766586$	$152461584507448/322998046875$	$1.01781$	$5.18328$	$[0, 0, 0, 2003325, -1780271750]$	$y^2=x^3+2003325x-1780271750$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.1, 24.24.0-24.v.1.8, $\ldots$	$[]$
50400.g1	50400d2	50400.g	50400d	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.38	2B	$336$	$96$	$3$	$0.629058678$	$1$		$11$	$73728$	$1.129423$	$474552000/49$	$1.07140$	$3.80948$	$[0, 0, 0, -19500, 1048000]$	$y^2=x^3-19500x+1048000$	2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 12.12.0.m.1, 16.24.0.m.1, $\ldots$	$[(86, 84)]$
50400.g2	50400d1	50400.g	50400d	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.31	2B	$336$	$96$	$3$	$1.258117357$	$1$		$5$	$36864$	$0.782850$	$-5832000/2401$	$1.04461$	$3.06874$	$[0, 0, 0, -1125, 19000]$	$y^2=x^3-1125x+19000$	2.3.0.a.1, 4.6.0.e.1, 6.6.0.a.1, 8.12.0.s.1, 12.12.0.l.1, $\ldots$	$[(9, 98)]$
50400.h1	50400bc4	50400.h	50400bc	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 7 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$14.01742401$	$1$		$5$	$147456$	$1.343191$	$179406144/35$	$0.91443$	$4.02403$	$[0, 0, 0, -42300, -3348000]$	$y^2=x^3-42300x-3348000$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.y.1, 56.12.0.y.1, $\ldots$	$[(280, 2600), (456, 8496)]$
50400.h2	50400bc3	50400.h	50400bc	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{6} \cdot 5^{10} \cdot 7 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.504356003$	$1$		$11$	$147456$	$1.343191$	$123505992/4375$	$0.97359$	$3.79751$	$[0, 0, 0, -18675, 951750]$	$y^2=x^3-18675x+951750$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.y.1, 56.12.0.s.1, $\ldots$	$[(45, 450), (-155, 350)]$
50400.h3	50400bc1	50400.h	50400bc	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$3.504356003$	$1$		$23$	$73728$	$0.996618$	$3796416/1225$	$0.97255$	$3.28386$	$[0, 0, 0, -2925, -40500]$	$y^2=x^3-2925x-40500$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 56.12.0.b.1, 120.24.0.?, $\ldots$	$[(-24, 126), (81, 504)]$
50400.h4	50400bc2	50400.h	50400bc	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{7} \cdot 7^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$14.01742401$	$1$		$7$	$147456$	$1.343191$	$10941048/12005$	$0.90537$	$3.57366$	$[0, 0, 0, 8325, -276750]$	$y^2=x^3+8325x-276750$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.s.1, 56.12.0.y.1, $\ldots$	$[(226, 3626), (430, 9100)]$
50400.i1	50400ci2	50400.i	50400ci	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{3} \cdot 5^{11} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$737280$	$2.289787$	$135574940230848/367653125$	$1.02568$	$4.96971$	$[0, 0, 0, -1284300, 558892000]$	$y^2=x^3-1284300x+558892000$	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
50400.i2	50400ci1	50400.i	50400ci	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{3} \cdot 5^{16} \cdot 7^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.943214$	$5820343774272/3349609375$	$1.14030$	$4.29487$	$[0, 0, 0, -112425, 1079500]$	$y^2=x^3-112425x+1079500$	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[]$
50400.j1	50400dh4	50400.j	50400dh	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{8} \cdot 5^{10} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$4.676227279$	$1$		$3$	$196608$	$1.701216$	$68017239368/39375$	$0.93705$	$4.38038$	$[0, 0, 0, -153075, 23040250]$	$y^2=x^3-153075x+23040250$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 56.12.0.s.1, $\ldots$	$[(2730, 141250)]$
50400.j2	50400dh3	50400.j	50400dh	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{14} \cdot 5^{7} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$4.676227279$	$1$		$3$	$196608$	$1.701216$	$13858588808/229635$	$0.92250$	$4.23346$	$[0, 0, 0, -90075, -10255250]$	$y^2=x^3-90075x-10255250$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 56.12.0.y.1, $\ldots$	$[(2726, 141426)]$
50400.j3	50400dh1	50400.j	50400dh	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$2.338113639$	$1$		$9$	$98304$	$1.354641$	$220348864/99225$	$0.91532$	$3.65892$	$[0, 0, 0, -11325, 218500]$	$y^2=x^3-11325x+218500$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 56.12.0.b.1, 60.24.0-20.a.1.2, $\ldots$	$[(101, 324)]$
50400.j4	50400dh2	50400.j	50400dh	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{7} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.169056819$	$1$		$7$	$196608$	$1.701216$	$143877824/108045$	$0.91686$	$4.00365$	$[0, 0, 0, 39300, 1636000]$	$y^2=x^3+39300x+1636000$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 56.12.0.y.1, $\ldots$	$[(254, 5292)]$
50400.k1	50400ee2	50400.k	50400ee	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.839886$	$65939264/1323$	$0.90084$	$4.37752$	$[0, 0, 0, -151500, 22300000]$	$y^2=x^3-151500x+22300000$	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
50400.k2	50400ee1	50400.k	50400ee	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{6} \cdot 3^{12} \cdot 5^{9} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.493313$	$64/5103$	$1.21170$	$3.80761$	$[0, 0, 0, 375, 1037500]$	$y^2=x^3+375x+1037500$	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
50400.l1	50400bd2	50400.l	50400bd	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$55296$	$0.896825$	$125000/49$	$1.00487$	$3.16065$	$[0, 0, 0, -1875, -17750]$	$y^2=x^3-1875x-17750$	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
50400.l2	50400bd1	50400.l	50400bd	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$56$	$12$	$0$	$1$	$1$		$1$	$27648$	$0.550251$	$8000/7$	$0.98030$	$2.71473$	$[0, 0, 0, 375, -2000]$	$y^2=x^3+375x-2000$	2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1	$[]$
50400.m1	50400cr1	50400.m	50400cr	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{9} \cdot 3^{9} \cdot 5^{4} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$1.952297650$	$1$		$2$	$34560$	$0.735497$	$-5400/7$	$0.82184$	$2.98615$	$[0, 0, 0, -675, -12150]$	$y^2=x^3-675x-12150$	168.2.0.?	$[(90, 810)]$
50400.n1	50400di4	50400.n	50400di	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{7} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$4.381303885$	$4$	$2$	$3$	$131072$	$1.295391$	$2438569736/21$	$0.97593$	$4.07299$	$[0, 0, 0, -50475, -4364750]$	$y^2=x^3-50475x-4364750$	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.ba.1, $\ldots$	$[(270, 1300)]$
50400.n2	50400di3	50400.n	50400di	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.095325971$	$1$		$7$	$131072$	$1.295391$	$3241792/567$	$0.96732$	$3.65336$	$[0, 0, 0, -11100, 376000]$	$y^2=x^3-11100x+376000$	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.1.4, $\ldots$	$[(26, 324)]$
50400.n3	50400di1	50400.n	50400di	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$2.190651942$	$1$		$9$	$65536$	$0.948818$	$5088448/441$	$0.96662$	$3.31091$	$[0, 0, 0, -3225, -65000]$	$y^2=x^3-3225x-65000$	2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, $\ldots$	$[(-31, 72)]$
50400.n4	50400di2	50400.n	50400di	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{9} \cdot 3^{7} \cdot 5^{6} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.095325971$	$1$		$7$	$131072$	$1.295391$	$830584/7203$	$0.97109$	$3.57919$	$[0, 0, 0, 3525, -301250]$	$y^2=x^3+3525x-301250$	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.ba.1, $\ldots$	$[(65, 450)]$
50400.o1	50400dc1	50400.o	50400dc	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$70$	$2$	$0$	$1.018090532$	$1$		$4$	$64512$	$1.027241$	$13824/35$	$0.66491$	$3.26168$	$[0, 0, 0, 1800, 54000]$	$y^2=x^3+1800x+54000$	70.2.0.a.1	$[(-20, 100)]$
50400.p1	50400bu1	50400.p	50400bu	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.1		$8$	$2$	$0$	$1.693992806$	$1$		$2$	$28800$	$0.609204$	$-200/49$	$0.92863$	$2.82761$	$[0, 0, 0, -75, -5150]$	$y^2=x^3-75x-5150$	8.2.0.a.1	$[(30, 140)]$
50400.q1	50400z1	50400.q	50400z	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{11} \cdot 7 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$70$	$2$	$0$	$1$	$1$		$0$	$230400$	$1.560318$	$1124864/21875$	$0.91387$	$3.87742$	$[0, 0, 0, 7800, -1514000]$	$y^2=x^3+7800x-1514000$	70.2.0.a.1	$[]$
50400.r1	50400ec1	50400.r	50400ec	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{9} \cdot 3^{19} \cdot 5^{4} \cdot 7 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$1$	$1$		$0$	$219648$	$1.639986$	$1987675000/11160261$	$1.08802$	$3.95665$	$[0, 0, 0, 16125, -2324950]$	$y^2=x^3+16125x-2324950$	168.2.0.?	$[]$
50400.s1	50400ea1	50400.s	50400ea	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{15} \cdot 5^{9} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$4$	$2$	$1$	$4423680$	$3.102894$	$10713357105862263488/137781$	$1.16421$	$6.37746$	$[0, 0, 0, -206671125, 1143583337500]$	$y^2=x^3-206671125x+1143583337500$	2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[]$
50400.s2	50400ea2	50400.s	50400ea	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{12} \cdot 3^{24} \cdot 5^{9} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$8847360$	$3.449467$	$-167382537005851712/18983603961$	$1.06184$	$6.37747$	$[0, 0, 0, -206665500, 1143648700000]$	$y^2=x^3-206665500x+1143648700000$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
50400.t1	50400cq2	50400.t	50400cq	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.650929640$	$1$		$7$	$51200$	$1.061275$	$474552/49$	$0.78858$	$3.42539$	$[0, 0, 0, -4875, 118750]$	$y^2=x^3-4875x+118750$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.?	$[(29, 42)]$
50400.t2	50400cq1	50400.t	50400cq	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$3.301859281$	$1$		$5$	$25600$	$0.714702$	$46656/7$	$0.61638$	$3.01912$	$[0, 0, 0, -1125, -12500]$	$y^2=x^3-1125x-12500$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.?	$[(-24, 26)]$
50400.u1	50400x1	50400.u	50400x	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{7} \cdot 5^{8} \cdot 7 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.431979460$	$1$		$13$	$73728$	$1.021034$	$31554496/525$	$0.88154$	$3.47943$	$[0, 0, 0, -5925, 173000]$	$y^2=x^3-5925x+173000$	2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.?	$[(-5, 450), (49, 18)]$
50400.u2	50400x2	50400.u	50400x	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{7} \cdot 7^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.607994865$	$1$		$31$	$147456$	$1.367607$	$-64/2205$	$1.16244$	$3.66829$	$[0, 0, 0, -300, 488000]$	$y^2=x^3-300x+488000$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(-10, 700), (46, 756)]$
50400.v1	50400db2	50400.v	50400db	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.985025119$	$1$		$5$	$73728$	$1.143482$	$1000000/63$	$1.02461$	$3.54474$	$[0, 0, 0, -7500, 236000]$	$y^2=x^3-7500x+236000$	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(76, 324)]$
50400.v2	50400db1	50400.v	50400db	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.992512559$	$1$		$7$	$36864$	$0.796908$	$8000/147$	$0.94365$	$3.03113$	$[0, 0, 0, 375, 15500]$	$y^2=x^3+375x+15500$	2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.?	$[(1, 126)]$
50400.w1	50400n2	50400.w	50400n	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{9} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$30720$	$0.805862$	$474552/49$	$0.78858$	$3.14232$	$[0, 0, 0, -1755, 25650]$	$y^2=x^3-1755x+25650$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 420.6.0.?, 840.12.0.?	$[]$
50400.w2	50400n1	50400.w	50400n	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$ 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.459289$	$46656/7$	$0.61638$	$2.73605$	$[0, 0, 0, -405, -2700]$	$y^2=x^3-405x-2700$	2.3.0.a.1, 56.6.0.e.1, 120.6.0.?, 210.6.0.?, 840.12.0.?	$[]$

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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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