LMFDB - Elliptic curves over $\Q$ of conductor 243600

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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

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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
243600.a1	243600a1	243600.a	243600a	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 7^{3} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$406$	$2$	$0$	$1$	$1$		$0$	$403200$	$0.861459$	$12800000/89523$	$0.91747$	$2.70300$	$[0, -1, 0, 667, 21837]$	$y^2=x^3-x^2+667x+21837$	406.2.0.?	$[]$
243600.b1	243600b1	243600.b	243600b	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3 \cdot 5^{11} \cdot 7^{2} \cdot 29 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$870$	$2$	$0$	$2.978120409$	$1$		$4$	$1766400$	$1.647770$	$-508934139904/13321875$	$0.86691$	$3.62599$	$[0, -1, 0, -66533, 6775437]$	$y^2=x^3-x^2-66533x+6775437$	870.2.0.?	$[(172, 625), (132, 525)]$
243600.c1	243600c1	243600.c	243600c	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{11} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24360$	$2$	$0$	$1.700140800$	$1$		$2$	$1267200$	$1.572575$	$372338822/268569$	$0.83467$	$3.37369$	$[0, -1, 0, 23792, -709088]$	$y^2=x^3-x^2+23792x-709088$	24360.2.0.?	$[(92, 1500)]$
243600.d1	243600d1	243600.d	243600d	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$870$	$2$	$0$	$1.051696999$	$1$		$2$	$580608$	$1.237700$	$7476617216/4795875$	$0.87016$	$3.05861$	$[0, -1, 0, 6467, -68063]$	$y^2=x^3-x^2+6467x-68063$	870.2.0.?	$[(72, 875)]$
243600.e1	243600e1	243600.e	243600e	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{22} \cdot 3^{2} \cdot 5^{7} \cdot 7^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3480$	$12$	$0$	$1.716595587$	$1$		$7$	$1843200$	$1.697077$	$172715635009/65479680$	$0.86990$	$3.53530$	$[0, -1, 0, -46408, 2275312]$	$y^2=x^3-x^2-46408x+2275312$	2.3.0.a.1, 24.6.0.c.1, 290.6.0.?, 3480.12.0.?	$[(202, 1050)]$
243600.e2	243600e2	243600.e	243600e	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{17} \cdot 3 \cdot 5^{8} \cdot 7^{4} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3480$	$12$	$0$	$3.433191174$	$1$		$5$	$3686400$	$2.043652$	$5332775378111/4846178400$	$0.90570$	$3.81184$	$[0, -1, 0, 145592, 16099312]$	$y^2=x^3-x^2+145592x+16099312$	2.3.0.a.1, 24.6.0.b.1, 580.6.0.?, 3480.12.0.?	$[(-54, 2842)]$
243600.f1	243600f1	243600.f	243600f	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$406$	$2$	$0$	$1$	$1$		$0$	$870912$	$1.537682$	$-101687374151680/1934502507$	$0.95259$	$3.53309$	$[0, -1, 0, -45493, 3810877]$	$y^2=x^3-x^2-45493x+3810877$	406.2.0.?	$[]$
243600.g1	243600g4	243600.g	243600g	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{15} \cdot 3^{4} \cdot 5^{14} \cdot 7 \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$24360$	$48$	$0$	$1$	$4$	$2$	$1$	$7077888$	$2.490410$	$74814838808586409/51384375000$	$0.94553$	$4.58171$	$[0, -1, 0, -3511408, -2529946688]$	$y^2=x^3-x^2-3511408x-2529946688$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[]$
243600.g2	243600g2	243600.g	243600g	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{18} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 29^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$24360$	$48$	$0$	$1$	$1$		$3$	$3538944$	$2.143837$	$31581464799529/14835240000$	$0.92011$	$3.95524$	$[0, -1, 0, -263408, -22490688]$	$y^2=x^3-x^2-263408x-22490688$	2.6.0.a.1, 24.12.0.a.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[]$
243600.g3	243600g1	243600.g	243600g	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{24} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$24360$	$48$	$0$	$1$	$1$		$1$	$1769472$	$1.797262$	$4290223486249/62361600$	$0.88301$	$3.79430$	$[0, -1, 0, -135408, 18981312]$	$y^2=x^3-x^2-135408x+18981312$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.1, $\ldots$	$[]$
243600.g4	243600g3	243600.g	243600g	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{15} \cdot 3 \cdot 5^{8} \cdot 7^{4} \cdot 29^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$24360$	$48$	$0$	$1$	$1$		$1$	$7077888$	$2.490410$	$1419693539792471/1018909008600$	$0.94684$	$4.26207$	$[0, -1, 0, 936592, -171290688]$	$y^2=x^3-x^2+936592x-171290688$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.2, $\ldots$	$[]$
243600.h1	243600h2	243600.h	243600h	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1624$	$12$	$0$	$3.664497178$	$1$		$3$	$884736$	$1.501711$	$62214547250/9323181$	$0.89190$	$3.39709$	$[0, -1, 0, -26208, -1397088]$	$y^2=x^3-x^2-26208x-1397088$	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[(261, 3078)]$
243600.h2	243600h1	243600.h	243600h	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7 \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1624$	$12$	$0$	$1.832248589$	$1$		$5$	$442368$	$1.155136$	$150381500/476847$	$0.85500$	$2.97633$	$[0, -1, 0, 2792, -121088]$	$y^2=x^3-x^2+2792x-121088$	2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.?	$[(61, 522)]$
243600.i1	243600i3	243600.i	243600i	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$1.975696060$	$1$		$19$	$3932160$	$2.200806$	$13925871312685924/3524968125$	$0.92864$	$4.33439$	$[0, -1, 0, -1263008, 546634512]$	$y^2=x^3-x^2-1263008x+546634512$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 58.6.0.a.1, $\ldots$	$[(32, 22500), (412, 9800)]$
243600.i2	243600i4	243600.i	243600i	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{10} \cdot 3^{16} \cdot 5^{7} \cdot 7 \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$31.61113696$	$1$		$3$	$3932160$	$2.200806$	$1463392165415044/43692421815$	$0.91540$	$4.15274$	$[0, -1, 0, -596008, -172275488]$	$y^2=x^3-x^2-596008x-172275488$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 232.12.0.?, $\ldots$	$[(1097, 22200), (-4427/3, 34550/3)]$
243600.i3	243600i2	243600.i	243600i	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 29^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$4060$	$48$	$0$	$7.902784242$	$1$		$17$	$1966080$	$1.854233$	$19169739408976/6759306225$	$0.88513$	$3.69145$	$[0, -1, 0, -88508, 6364512]$	$y^2=x^3-x^2-88508x+6364512$	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 116.12.0.?, 140.24.0.?, $\ldots$	$[(-4, 2592), (72, 600)]$
243600.i4	243600i1	243600.i	243600i	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 29^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$7.902784242$	$1$		$7$	$983040$	$1.507658$	$2029623240704/2005141635$	$0.89755$	$3.28688$	$[0, -1, 0, 16617, 687762]$	$y^2=x^3-x^2+16617x+687762$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$	$[(78, 1566), (4749/2, 329121/2)]$
243600.j1	243600j7	243600.j	243600j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{12} \cdot 3^{16} \cdot 5^{7} \cdot 7^{4} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.171	2B	$97440$	$768$	$13$	$2.668654427$	$1$		$5$	$62914560$	$3.554394$	$708102767635831683894241/14986500682545$	$1.00805$	$5.87677$	$[0, -1, 0, -742764008, 7791806926512]$	$y^2=x^3-x^2-742764008x+7791806926512$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.g.1.4, 20.12.0-4.c.1.2, $\ldots$	$[(15732, 600)]$
243600.j2	243600j5	243600.j	243600j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.108	2Cs	$48720$	$768$	$13$	$5.337308854$	$1$		$5$	$31457280$	$3.207821$	$173449931524273005841/795225618065025$	$0.98016$	$5.20643$	$[0, -1, 0, -46474008, 121476286512]$	$y^2=x^3-x^2-46474008x+121476286512$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.8, 20.24.0-4.b.1.3, 40.96.0-40.bc.1.2, $\ldots$	$[(-4268, 492000)]$
243600.j3	243600j8	243600.j	243600j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3^{4} \cdot 5^{7} \cdot 7^{16} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.110	2B	$97440$	$768$	$13$	$10.67461770$	$1$		$1$	$62914560$	$3.554394$	$-20980751961338245441/390320769539963745$	$1.00949$	$5.31839$	$[0, -1, 0, -22984008, 244188046512]$	$y^2=x^3-x^2-22984008x+244188046512$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.8, 20.12.0-4.c.1.2, $\ldots$	$[(-14723/2, 4224927/2)]$
243600.j4	243600j3	243600.j	243600j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{12} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 29^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.42	2Cs	$48720$	$768$	$13$	$2.668654427$	$1$		$7$	$15728640$	$2.861248$	$149620653479787841/85970447600625$	$1.00893$	$4.63758$	$[0, -1, 0, -4424008, -300513488]$	$y^2=x^3-x^2-4424008x-300513488$	2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.4, 20.48.0-4.b.1.1, 40.96.0-40.b.1.2, $\ldots$	$[(-212, 25056)]$
243600.j5	243600j2	243600.j	243600j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{12} \cdot 3^{2} \cdot 5^{14} \cdot 7^{2} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.4	2Cs	$48720$	$768$	$13$	$5.337308854$	$1$		$5$	$7864320$	$2.514671$	$55254534707337841/144875390625$	$0.94400$	$4.55727$	$[0, -1, 0, -3174008, -2170513488]$	$y^2=x^3-x^2-3174008x-2170513488$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0-8.i.1.3, 20.24.0-4.b.1.1, $\ldots$	$[(3737, 195300)]$
243600.j6	243600j1	243600.j	243600j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{12} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.3	2B	$97440$	$768$	$13$	$10.67461770$	$1$		$1$	$3932160$	$2.168098$	$55150149867714721/380625$	$0.94394$	$4.55712$	$[0, -1, 0, -3172008, -2173393488]$	$y^2=x^3-x^2-3172008x-2173393488$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[(150433/8, 29641425/8)]$
243600.j7	243600j4	243600.j	243600j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3 \cdot 5^{22} \cdot 7 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.3	2B	$97440$	$768$	$13$	$10.67461770$	$4$	$2$	$1$	$15728640$	$2.861248$	$-12931706531187361/92926025390625$	$0.96987$	$4.64953$	$[0, -1, 0, -1956008, -3856225488]$	$y^2=x^3-x^2-1956008x-3856225488$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[(33169/3, 5330636/3)]$
243600.j8	243600j6	243600.j	243600j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 29^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.196	2B	$97440$	$768$	$13$	$1.334327213$	$1$		$7$	$31457280$	$3.207821$	$9462467906178230159/5515216702895025$	$1.02448$	$4.97193$	$[0, -1, 0, 17625992, -2417313488]$	$y^2=x^3-x^2+17625992x-2417313488$	2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.q.1.4, 20.24.0-4.d.1.1, 40.96.0-40.bf.2.7, $\ldots$	$[(282, 50750)]$
243600.k1	243600k2	243600.k	243600k	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 7^{7} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2436$	$12$	$0$	$7.983466828$	$1$		$1$	$61931520$	$3.447918$	$585442900448434507310500/40897317500487$	$1.03462$	$5.74967$	$[0, -1, 0, -439164208, 3542472124912]$	$y^2=x^3-x^2-439164208x+3542472124912$	2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.?	$[(307326/5, 4622774/5)]$
243600.k2	243600k1	243600.k	243600k	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{8} \cdot 3^{5} \cdot 5^{6} \cdot 7^{14} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2436$	$12$	$0$	$15.96693365$	$1$		$1$	$30965760$	$3.101345$	$-568288203127281250000/4779437994366903$	$1.08752$	$5.07974$	$[0, -1, 0, -27392708, 55591062912]$	$y^2=x^3-x^2-27392708x+55591062912$	2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.?	$[(12036361/65, 7089189466/65)]$
243600.l1	243600l4	243600.l	243600l	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{15} \cdot 3^{2} \cdot 5^{22} \cdot 7^{3} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$27.83429084$	$1$		$1$	$106168320$	$3.895054$	$6202498505128804178179489/109281005859375000$	$1.01421$	$6.05174$	$[0, -1, 0, -1531114408, -23059153228688]$	$y^2=x^3-x^2-1531114408x-23059153228688$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.z.1, 140.12.0.?, $\ldots$	$[(848975451429/4082, 379879982249237419/4082)]$
243600.l2	243600l3	243600.l	243600l	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{15} \cdot 3^{8} \cdot 5^{10} \cdot 7^{12} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$27.83429084$	$1$		$1$	$106168320$	$3.895054$	$101517965795304671887009/13167839372235345000$	$1.00458$	$5.72017$	$[0, -1, 0, -388746408, 2598732723312]$	$y^2=x^3-x^2-388746408x+2598732723312$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.z.1, 232.12.0.?, $\ldots$	$[(10138090061901/21034, 22261164480249629193/21034)]$
243600.l3	243600l2	243600.l	243600l	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{18} \cdot 3^{4} \cdot 5^{14} \cdot 7^{6} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$8120$	$48$	$0$	$13.91714542$	$1$		$3$	$53084160$	$3.548481$	$1663825065311223487009/200359188225000000$	$0.99080$	$5.38872$	$[0, -1, 0, -98746408, -336067276688]$	$y^2=x^3-x^2-98746408x-336067276688$	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 140.24.0.?, 232.12.0.?, $\ldots$	$[(14093821/26, 45382888017/26)]$
243600.l4	243600l1	243600.l	243600l	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{24} \cdot 3^{2} \cdot 5^{10} \cdot 7^{3} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$8120$	$48$	$0$	$6.958572712$	$1$		$1$	$26542080$	$3.201908$	$1218840126444091871/5589443704320000$	$0.98488$	$4.96271$	$[0, -1, 0, 8901592, -26902220688]$	$y^2=x^3-x^2+8901592x-26902220688$	2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 20.12.0-4.c.1.1, 28.12.0.g.1, $\ldots$	$[(13109/2, 1548339/2)]$
243600.m1	243600m1	243600.m	243600m	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{25} \cdot 3 \cdot 5^{3} \cdot 7^{7} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24360$	$2$	$0$	$1$	$1$		$0$	$2376192$	$2.037842$	$264250867272211/586942390272$	$0.95702$	$3.82134$	$[0, -1, 0, 106952, 22644592]$	$y^2=x^3-x^2+106952x+22644592$	24360.2.0.?	$[]$
243600.n1	243600n1	243600.n	243600n	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4872$	$2$	$0$	$2.751266497$	$1$		$2$	$774144$	$1.434261$	$3049691902/6714225$	$0.83726$	$3.23711$	$[0, -1, 0, 9592, -608688]$	$y^2=x^3-x^2+9592x-608688$	4872.2.0.?	$[(82, 850)]$
243600.o1	243600o1	243600.o	243600o	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{25} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 29^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4872$	$2$	$0$	$1$	$1$		$0$	$60383232$	$3.658001$	$526646344431378309263/1308681048044740608$	$1.03599$	$5.39208$	$[0, -1, 0, 67296392, 385629273712]$	$y^2=x^3-x^2+67296392x+385629273712$	4872.2.0.?	$[]$
243600.p1	243600p1	243600.p	243600p	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{15} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4872$	$2$	$0$	$1$	$1$		$0$	$663552$	$1.423351$	$371694959/3045000$	$0.84635$	$3.24792$	$[0, -1, 0, 5992, -649488]$	$y^2=x^3-x^2+5992x-649488$	4872.2.0.?	$[]$
243600.q1	243600q2	243600.q	243600q	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{13} \cdot 3 \cdot 5^{3} \cdot 7^{4} \cdot 29^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3480$	$12$	$0$	$4.736138506$	$1$		$11$	$466944$	$1.149012$	$25855561493/12115446$	$0.88603$	$2.99291$	$[0, -1, 0, -4928, -56448]$	$y^2=x^3-x^2-4928x-56448$	2.3.0.a.1, 120.6.0.?, 580.6.0.?, 696.6.0.?, 3480.12.0.?	$[(-14, 98), (133, 1274)]$
243600.q2	243600q1	243600.q	243600q	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3480$	$12$	$0$	$1.184034626$	$1$		$19$	$233472$	$0.802438$	$3491055413/51156$	$0.83842$	$2.83147$	$[0, -1, 0, -2528, 49152]$	$y^2=x^3-x^2-2528x+49152$	2.3.0.a.1, 120.6.0.?, 290.6.0.?, 696.6.0.?, 3480.12.0.?	$[(2, 210), (37, 70)]$
243600.r1	243600r1	243600.r	243600r	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$580$	$12$	$0$	$4.110912990$	$1$		$1$	$589824$	$1.415024$	$534860161613824/319725$	$0.98280$	$3.73629$	$[0, -1, 0, -106533, -13348188]$	$y^2=x^3-x^2-106533x-13348188$	2.3.0.a.1, 20.6.0.b.1, 58.6.0.a.1, 580.12.0.?	$[(2373/2, 91875/2)]$
243600.r2	243600r2	243600.r	243600r	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 7^{4} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$580$	$12$	$0$	$8.221825980$	$1$		$1$	$1179648$	$1.761597$	$-32843854669264/817792605$	$0.87737$	$3.73826$	$[0, -1, 0, -105908, -13513188]$	$y^2=x^3-x^2-105908x-13513188$	2.3.0.a.1, 20.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(90973/7, 26977250/7)]$
243600.s1	243600s2	243600.s	243600s	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{5} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$11.56536289$	$1$		$1$	$6635520$	$2.519165$	$238786949809042000/8665821118143$	$0.97728$	$4.45174$	$[0, -1, 0, -2051708, -1094427588]$	$y^2=x^3-x^2-2051708x-1094427588$	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(882769/23, 136582576/23)]$
243600.s2	243600s1	243600.s	243600s	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{10} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$23.13072579$	$1$		$1$	$3317760$	$2.172592$	$52577024000000/6414165479043$	$1.12347$	$3.98029$	$[0, -1, 0, 49167, -60797088]$	$y^2=x^3-x^2+49167x-60797088$	2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.?	$[(32737117097/9568, 1353130390518037/9568)]$
243600.t1	243600t1	243600.t	243600t	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{23} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 29^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4872$	$2$	$0$	$4.753414613$	$1$		$0$	$43110144$	$3.459347$	$4173683366137838687913865/4867492265431713792$	$1.02294$	$5.50076$	$[0, -1, 0, -156927328, -755836537088]$	$y^2=x^3-x^2-156927328x-755836537088$	4872.2.0.?	$[(822096/5, 680550656/5)]$
243600.u1	243600u1	243600.u	243600u	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4872$	$2$	$0$	$2.944657800$	$1$		$2$	$274176$	$0.838639$	$98140892210/443961$	$0.85808$	$2.91481$	$[0, -1, 0, -3568, 82912]$	$y^2=x^3-x^2-3568x+82912$	4872.2.0.?	$[(33, 4)]$
243600.v1	243600v2	243600.v	243600v	$2$	$5$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3^{2} \cdot 5^{10} \cdot 7 \cdot 29^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.2	5B.4.2	$4060$	$48$	$1$	$1$	$9$	$3$	$0$	$6720000$	$2.468407$	$-352558182400/1292202387$	$0.94138$	$4.27250$	$[0, -1, 0, -503333, 372377037]$	$y^2=x^3-x^2-503333x+372377037$	5.12.0.a.2, 20.24.0-5.a.2.2, 406.2.0.?, 2030.24.1.?, 4060.48.1.?	$[]$
243600.v2	243600v1	243600.v	243600v	$2$	$5$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 7^{5} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.1	5B.4.1	$4060$	$48$	$1$	$1$	$9$	$3$	$0$	$1344000$	$1.663689$	$-27933450833920/28780659747$	$0.93882$	$3.50876$	$[0, -1, 0, -29573, -3254163]$	$y^2=x^3-x^2-29573x-3254163$	5.12.0.a.1, 20.24.0-5.a.1.2, 406.2.0.?, 2030.24.1.?, 4060.48.1.?	$[]$
243600.w1	243600w1	243600.w	243600w	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{21} \cdot 3^{5} \cdot 5^{7} \cdot 7^{3} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24360$	$2$	$0$	$4.439491328$	$1$		$2$	$3732480$	$2.121426$	$-72454344765769/6187829760$	$0.90597$	$4.03329$	$[0, -1, 0, -347408, -84314688]$	$y^2=x^3-x^2-347408x-84314688$	24360.2.0.?	$[(922, 19450)]$
243600.x1	243600x1	243600.x	243600x	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{15} \cdot 3^{13} \cdot 5^{8} \cdot 7^{3} \cdot 29^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4872$	$2$	$0$	$4.355038733$	$1$		$2$	$64696320$	$3.751255$	$-16548953231297345532409/2243315807248912200$	$0.99840$	$5.59090$	$[0, -1, 0, -212361408, 1323380685312]$	$y^2=x^3-x^2-212361408x+1323380685312$	4872.2.0.?	$[(6002, 514750)]$
243600.y1	243600y1	243600.y	243600y	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{11} \cdot 3^{3} \cdot 5^{25} \cdot 7 \cdot 29^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24360$	$2$	$0$	$1$	$1$		$0$	$212751360$	$4.321739$	$-1296420349508030865803093138/87919635772705078125$	$1.02618$	$6.42659$	$[0, -1, 0, -7212027408, 235756698177312]$	$y^2=x^3-x^2-7212027408x+235756698177312$	24360.2.0.?	$[]$
243600.z1	243600z1	243600.z	243600z	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{19} \cdot 3^{11} \cdot 5^{6} \cdot 7^{5} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$4872$	$2$	$0$	$24.07194899$	$1$		$0$	$9461760$	$2.680202$	$146588258764583/11051773342848$	$1.02098$	$4.47100$	$[0, -1, 0, 439392, -1274796288]$	$y^2=x^3-x^2+439392x-1274796288$	4872.2.0.?	$[(178437978722/11581, 63340700427970150/11581)]$
243600.ba1	243600ba1	243600.ba	243600ba	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 $	$ - 2^{12} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$870$	$2$	$0$	$3.736751214$	$1$		$2$	$529920$	$1.277262$	$262144/4263$	$0.84949$	$3.11038$	$[0, -1, 0, 2667, 275037]$	$y^2=x^3-x^2+2667x+275037$	870.2.0.?	$[(28, 609)]$

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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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