LMFDB - Elliptic curves over $\Q$ of conductor 259200

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Refine search

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

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio	Manin constant

Intrinsic torsion order

			Sort order	Select

Results (1-50 of 176 matches)

Next Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
259200.a1	259200a1	259200.a	259200a	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{7} \cdot 3^{4} \cdot 5^{8} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.2.0.2, 5.5.0.1	5S4	$40$	$10$	$0$	$7.214458730$	$1$		$6$	$587520$	$0.975957$	$61740000$	$1.06884$	$3.21374$	$1$	$[0, 0, 0, -13125, -578750]$	$y^2=x^3-13125x-578750$	5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1	$[(-66, 2), (-2375/6, 325/6)]$	$1$
259200.b1	259200b1	259200.b	259200b	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{13} \cdot 3^{4} \cdot 5^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.2.0.2, 5.5.0.1	5S4	$40$	$10$	$0$	$0.560154028$	$1$		$4$	$235008$	$0.517811$	$61740000$	$1.06884$	$2.77270$	$1$	$[0, 0, 0, -2100, 37040]$	$y^2=x^3-2100x+37040$	5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1	$[(26, 4)]$	$1$
259200.c1	259200c1	259200.c	259200c	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{7} \cdot 3^{10} \cdot 5^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.2.0.2, 5.5.0.1	5S4	$40$	$10$	$0$	$1.603048336$	$1$		$0$	$352512$	$0.720544$	$61740000$	$1.06884$	$2.96786$	$1$	$[0, 0, 0, -4725, -125010]$	$y^2=x^3-4725x-125010$	5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1	$[(-159/2, 9/2)]$	$1$
259200.d1	259200d1	259200.d	259200d	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{13} \cdot 3^{10} \cdot 5^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.2.0.2, 5.5.0.1	5S4	$40$	$10$	$0$	$1.289471319$	$1$		$2$	$3525120$	$1.871836$	$61740000$	$1.06884$	$4.07618$	$1$	$[0, 0, 0, -472500, 125010000]$	$y^2=x^3-472500x+125010000$	5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1	$[(400, 100)]$	$1$
259200.e1	259200e1	259200.e	259200e	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{13} \cdot 3^{10} \cdot 5^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.2.0.2, 5.5.0.1	5S4	$40$	$10$	$0$	$1$	$1$		$0$	$705024$	$1.067118$	$61740000$	$1.06884$	$3.30150$	$1$	$[0, 0, 0, -18900, -1000080]$	$y^2=x^3-18900x-1000080$	5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1	$[ ]$	$1$
259200.f1	259200f1	259200.f	259200f	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{7} \cdot 3^{10} \cdot 5^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.2.0.2, 5.5.0.1	5S4	$40$	$10$	$0$	$3.267993883$	$1$		$2$	$1762560$	$1.525263$	$61740000$	$1.06884$	$3.74254$	$1$	$[0, 0, 0, -118125, 15626250]$	$y^2=x^3-118125x+15626250$	5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1	$[(246, 1206)]$	$1$
259200.g1	259200g1	259200.g	259200g	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{13} \cdot 3^{4} \cdot 5^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.2.0.2, 5.5.0.1	5S4	$40$	$10$	$0$	$1$	$4$	$2$	$0$	$1175040$	$1.322531$	$61740000$	$1.06884$	$3.54738$	$1$	$[0, 0, 0, -52500, -4630000]$	$y^2=x^3-52500x-4630000$	5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1	$[ ]$	$1$
259200.h1	259200h1	259200.h	259200h	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.2.0.2, 5.5.0.1	5S4	$40$	$10$	$0$	$1$	$1$		$0$	$117504$	$0.171238$	$61740000$	$1.06884$	$2.43906$	$1$	$[0, 0, 0, -525, 4630]$	$y^2=x^3-525x+4630$	5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1	$[ ]$	$1$
259200.i1	259200i1	259200.i	259200i	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{8} \cdot 3^{12} \cdot 5^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.2.0.1		$40$	$4$	$0$	$3.682642406$	$1$		$2$	$483840$	$1.080286$	$-3456$	$0.61315$	$2.96329$	$1$	$[0, 0, 0, -4050, 121500]$	$y^2=x^3-4050x+121500$	4.2.0.a.1, 40.4.0-4.a.1.1	$[(34, 152)]$	$1$
259200.j1	259200j1	259200.j	259200j	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.2.0.1		$60$	$4$	$0$	$1$	$1$		$0$	$322560$	$0.877554$	$-3456$	$0.61315$	$2.76813$	$1$	$[0, 0, 0, -1800, -36000]$	$y^2=x^3-1800x-36000$	4.2.0.a.1, 60.4.0-4.a.1.1	$[ ]$	$1$
259200.k1	259200k1	259200.k	259200k	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{8} \cdot 3^{6} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.2.0.1		$120$	$4$	$0$	$1$	$1$		$0$	$161280$	$0.530980$	$-3456$	$0.61315$	$2.43449$	$1$	$[0, 0, 0, -450, -4500]$	$y^2=x^3-450x-4500$	4.2.0.a.1, 120.4.0.?	$[ ]$	$1$
259200.l1	259200l1	259200.l	259200l	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{12} \cdot 5^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.2.0.1		$20$	$4$	$0$	$3.688379275$	$1$		$2$	$967680$	$1.426859$	$-3456$	$0.61315$	$3.29693$	$1$	$[0, 0, 0, -16200, 972000]$	$y^2=x^3-16200x+972000$	4.2.0.a.1, 20.4.0-4.a.1.1	$[(76, 424)]$	$1$
259200.m1	259200m1	259200.m	259200m	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{13} \cdot 3^{12} \cdot 5^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$1036800$	$1.634615$	$4320$	$0.47320$	$3.48492$	$1$	$[0, 0, 0, -40500, 2430000]$	$y^2=x^3-40500x+2430000$	8.2.0.b.1	$[ ]$	$1$
259200.n1	259200n1	259200.n	259200n	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{7} \cdot 3^{12} \cdot 5^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.2		$8$	$2$	$0$	$3.807763494$	$1$		$2$	$103680$	$0.483322$	$4320$	$0.47320$	$2.37661$	$1$	$[0, 0, 0, -405, -2430]$	$y^2=x^3-405x-2430$	8.2.0.b.1	$[(34, 152)]$	$1$
259200.o1	259200o1	259200.o	259200o	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{10} \cdot 5^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40$	$2$	$0$	$1.762322437$	$1$		$6$	$96768$	$0.405207$	$288$	$0.52680$	$2.24132$	$1$	$[0, 0, 0, 135, 1350]$	$y^2=x^3+135x+1350$	40.2.0.a.1	$[(-6, 18), (30, 180)]$	$1$
259200.p1	259200p1	259200.p	259200p	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{6} \cdot 5^{11} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5$	5.5.0.1	5S4	$40$	$10$	$0$	$10.05884817$	$1$		$4$	$414720$	$1.128386$	$-4244832/3125$	$0.90093$	$2.98285$	$1$	$[0, 0, 0, -3825, -137250]$	$y^2=x^3-3825x-137250$	5.5.0.a.1, 40.10.0.c.1	$[(130, 1250), (27745/18, 2355625/18)]$	$1$
259200.q1	259200q1	259200.q	259200q	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{10} \cdot 5^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40$	$2$	$0$	$2.160039267$	$1$		$2$	$967680$	$1.556499$	$288$	$0.52680$	$3.34963$	$1$	$[0, 0, 0, 13500, -1350000]$	$y^2=x^3+13500x-1350000$	40.2.0.a.1	$[(100, 1000)]$	$1$
259200.r1	259200r1	259200.r	259200r	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{4} \cdot 5^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40$	$2$	$0$	$3.240814986$	$1$		$0$	$161280$	$0.660620$	$288$	$0.52680$	$2.48720$	$1$	$[0, 0, 0, 375, 6250]$	$y^2=x^3+375x+6250$	40.2.0.a.1	$[(225/2, 3625/2)]$	$1$
259200.s1	259200s1	259200.s	259200s	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{12} \cdot 5^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5$	5.5.0.1	5S4	$40$	$10$	$0$	$2.679286180$	$1$		$2$	$2488320$	$2.024265$	$-4244832/3125$	$0.90093$	$3.84528$	$1$	$[0, 0, 0, -137700, 29646000]$	$y^2=x^3-137700x+29646000$	5.5.0.a.1, 40.10.0.c.1	$[(-155, 6875)]$	$1$
259200.t1	259200t1	259200.t	259200t	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{4} \cdot 5^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40$	$2$	$0$	$1.640323707$	$1$		$2$	$64512$	$0.202474$	$288$	$0.52680$	$2.04616$	$1$	$[0, 0, 0, 60, -400]$	$y^2=x^3+60x-400$	40.2.0.a.1	$[(5, 5)]$	$1$
259200.u1	259200u1	259200.u	259200u	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{13} \cdot 3^{6} \cdot 5^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.2		$8$	$2$	$0$	$3.618400655$	$1$		$6$	$69120$	$0.280590$	$4320$	$0.47320$	$2.18144$	$1$	$[0, 0, 0, -180, 720]$	$y^2=x^3-180x+720$	8.2.0.b.1	$[(4, 8), (16, 44)]$	$1$
259200.v1	259200v1	259200.v	259200v	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{7} \cdot 3^{6} \cdot 5^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$		$0$	$172800$	$0.738735$	$4320$	$0.47320$	$2.62249$	$1$	$[0, 0, 0, -1125, -11250]$	$y^2=x^3-1125x-11250$	8.2.0.b.1	$[ ]$	$1$
259200.w1	259200w1	259200.w	259200w	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 5^{7} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$20$	$2$	$0$	$1.849804551$	$1$		$10$	$331776$	$0.982334$	$3456/5$	$0.47320$	$2.76813$	$1$	$[0, 0, 0, 1800, 36000]$	$y^2=x^3+1800x+36000$	20.2.0.a.1	$[(60, 600), (-15, 75)]$	$1$
259200.x1	259200x1	259200.x	259200x	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{8} \cdot 3^{12} \cdot 5^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$20$	$2$	$0$	$3.333724933$	$1$		$2$	$497664$	$1.185066$	$3456/5$	$0.47320$	$2.96329$	$1$	$[0, 0, 0, 4050, -121500]$	$y^2=x^3+4050x-121500$	20.2.0.a.1	$[(160, 2150)]$	$1$
259200.y1	259200y1	259200.y	259200y	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{12} \cdot 5^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$20$	$2$	$0$	$1$	$1$		$0$	$995328$	$1.531641$	$3456/5$	$0.47320$	$3.29693$	$1$	$[0, 0, 0, 16200, -972000]$	$y^2=x^3+16200x-972000$	20.2.0.a.1	$[ ]$	$1$
259200.z1	259200z1	259200.z	259200z	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{8} \cdot 3^{6} \cdot 5^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$20$	$2$	$0$	$1.108234122$	$1$		$2$	$165888$	$0.635760$	$3456/5$	$0.47320$	$2.43449$	$1$	$[0, 0, 0, 450, 4500]$	$y^2=x^3+450x+4500$	20.2.0.a.1	$[(10, 100)]$	$1$
259200.ba1	259200ba1	259200.ba	259200ba	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{7} \cdot 3^{6} \cdot 5^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.2		$8$	$2$	$0$	$1.905363364$	$1$		$4$	$34560$	$-0.065984$	$4320$	$0.47320$	$1.84781$	$1$	$[0, 0, 0, -45, 90]$	$y^2=x^3-45x+90$	8.2.0.b.1	$[(6, 6), (-6, 12)]$	$1$
259200.bb1	259200bb1	259200.bb	259200bb	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{13} \cdot 3^{6} \cdot 5^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.2		$8$	$2$	$0$	$0.936469845$	$1$		$4$	$345600$	$1.085308$	$4320$	$0.47320$	$2.95612$	$1$	$[0, 0, 0, -4500, -90000]$	$y^2=x^3-4500x-90000$	8.2.0.b.1	$[(-50, 100)]$	$1$
259200.bc1	259200bc1	259200.bc	259200bc	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{4} \cdot 5^{9} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40$	$2$	$0$	$2.787684246$	$1$		$8$	$322560$	$1.007193$	$288$	$0.52680$	$2.82083$	$1$	$[0, 0, 0, 1500, 50000]$	$y^2=x^3+1500x+50000$	40.2.0.a.1	$[(50, 500), (-50/3, 5500/3)]$	$1$
259200.bd1	259200bd1	259200.bd	259200bd	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{12} \cdot 5^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5$	5.5.0.1	5S4	$40$	$10$	$0$	$8.846788017$	$1$		$0$	$1244160$	$1.677692$	$-4244832/3125$	$0.90093$	$3.51165$	$1$	$[0, 0, 0, -34425, 3705750]$	$y^2=x^3-34425x+3705750$	5.5.0.a.1, 40.10.0.c.1	$[(5434/5, 318502/5)]$	$1$
259200.be1	259200be1	259200.be	259200be	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{4} \cdot 5^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40$	$2$	$0$	$2.180464781$	$1$		$2$	$32256$	$-0.144099$	$288$	$0.52680$	$1.71252$	$1$	$[0, 0, 0, 15, -50]$	$y^2=x^3+15x-50$	40.2.0.a.1	$[(6, 16)]$	$1$
259200.bf1	259200bf1	259200.bf	259200bf	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{10} \cdot 5^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40$	$2$	$0$	$1$	$1$		$0$	$193536$	$0.751781$	$288$	$0.52680$	$2.57496$	$1$	$[0, 0, 0, 540, 10800]$	$y^2=x^3+540x+10800$	40.2.0.a.1	$[ ]$	$1$
259200.bg1	259200bg1	259200.bg	259200bg	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{6} \cdot 5^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5$	5.5.0.1	5S4	$40$	$10$	$0$	$1$	$1$		$0$	$829440$	$1.474960$	$-4244832/3125$	$0.90093$	$3.31648$	$1$	$[0, 0, 0, -15300, -1098000]$	$y^2=x^3-15300x-1098000$	5.5.0.a.1, 40.10.0.c.1	$[ ]$	$1$
259200.bh1	259200bh1	259200.bh	259200bh	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{10} \cdot 5^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40$	$2$	$0$	$1$	$1$		$0$	$483840$	$1.209927$	$288$	$0.52680$	$3.01600$	$1$	$[0, 0, 0, 3375, -168750]$	$y^2=x^3+3375x-168750$	40.2.0.a.1	$[ ]$	$1$
259200.bi1	259200bi1	259200.bi	259200bi	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{7} \cdot 3^{12} \cdot 5^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.2		$8$	$2$	$0$	$3.853498524$	$1$		$0$	$518400$	$1.288042$	$4320$	$0.47320$	$3.15129$	$1$	$[0, 0, 0, -10125, 303750]$	$y^2=x^3-10125x+303750$	8.2.0.b.1	$[(25/2, 3925/2)]$	$1$
259200.bj1	259200bj1	259200.bj	259200bj	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ 2^{13} \cdot 3^{12} \cdot 5^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.2		$8$	$2$	$0$	$5.434340090$	$1$		$2$	$207360$	$0.829896$	$4320$	$0.47320$	$2.71024$	$1$	$[0, 0, 0, -1620, -19440]$	$y^2=x^3-1620x-19440$	8.2.0.b.1	$[(436, 9064)]$	$1$
259200.bk1	259200bk1	259200.bk	259200bk	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{6} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$110592$	$0.452519$	$-864$	$0.61315$	$2.32328$	$1$	$[0, 0, 0, -225, -2250]$	$y^2=x^3-225x-2250$	8.2.0.a.1	$[ ]$	$1$
259200.bl1	259200bl1	259200.bl	259200bl	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{12} \cdot 5^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.1		$8$	$2$	$0$	$2.560987556$	$1$		$2$	$663552$	$1.348398$	$-864$	$0.61315$	$3.18572$	$1$	$[0, 0, 0, -8100, 486000]$	$y^2=x^3-8100x+486000$	8.2.0.a.1	$[(-20, 800)]$	$1$
259200.bm1	259200bm1	259200.bm	259200bm	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{4} \cdot 5^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.2.0.1		$20$	$4$	$0$	$3.032479947$	$1$		$2$	$165888$	$0.667123$	$1152$	$0.61315$	$2.47120$	$1$	$[0, 0, 0, 600, -4000]$	$y^2=x^3+600x-4000$	4.2.0.a.1, 20.4.0-4.a.1.1	$[(44, 328)]$	$1$
259200.bn1	259200bn1	259200.bn	259200bn	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{8} \cdot 3^{12} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	4.2.0.1, 5.5.0.1	5S4	$40$	$20$	$0$	$1$	$1$		$0$	$967680$	$1.643461$	$-784446336$	$1.09772$	$3.92012$	$1$	$[0, 0, 0, -247050, 47263500]$	$y^2=x^3-247050x+47263500$	4.2.0.a.1, 5.5.0.a.1, 20.10.0.a.1, 40.20.0-20.a.1.2	$[ ]$	$1$
259200.bo1	259200bo1	259200.bo	259200bo	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 5^{6} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	4.2.0.1, 5.5.0.1	5S4	$60$	$20$	$0$	$1$	$1$		$0$	$645120$	$1.440729$	$-784446336$	$1.09772$	$3.72495$	$1$	$[0, 0, 0, -109800, -14004000]$	$y^2=x^3-109800x-14004000$	4.2.0.a.1, 5.5.0.a.1, 20.10.0.a.1, 60.20.0-20.a.1.1	$[ ]$	$1$
259200.bp1	259200bp1	259200.bp	259200bp	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{8} \cdot 3^{10} \cdot 5^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.2.0.1		$120$	$4$	$0$	$1.903050194$	$1$		$2$	$248832$	$0.869856$	$1152$	$0.61315$	$2.66636$	$1$	$[0, 0, 0, 1350, 13500]$	$y^2=x^3+1350x+13500$	4.2.0.a.1, 120.4.0.?	$[(-6, 72)]$	$1$
259200.bq1	259200bq1	259200.bq	259200bq	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{10} \cdot 5^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.1		$8$	$2$	$0$	$1.305847610$	$1$		$2$	$88128$	$0.276641$	$1440$	$0.52680$	$2.11221$	$1$	$[0, 0, 0, 135, 270]$	$y^2=x^3+135x+270$	8.2.0.a.1	$[(6, 36)]$	$1$
259200.br1	259200br1	259200.br	259200br	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{10} \cdot 5^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$881280$	$1.427933$	$1440$	$0.52680$	$3.22052$	$1$	$[0, 0, 0, 13500, -270000]$	$y^2=x^3+13500x-270000$	8.2.0.a.1	$[ ]$	$1$
259200.bs1	259200bs1	259200.bs	259200bs	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{4} \cdot 5^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$146880$	$0.532054$	$1440$	$0.52680$	$2.35809$	$1$	$[0, 0, 0, 375, 1250]$	$y^2=x^3+375x+1250$	8.2.0.a.1	$[ ]$	$1$
259200.bt1	259200bt1	259200.bt	259200bt	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{4} \cdot 5^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$58752$	$0.073908$	$1440$	$0.52680$	$1.91704$	$1$	$[0, 0, 0, 60, -80]$	$y^2=x^3+60x-80$	8.2.0.a.1	$[ ]$	$1$
259200.bu1	259200bu1	259200.bu	259200bu	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{4} \cdot 5^{10} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$2$	8.2.0.1		$8$	$2$	$0$	$2.037945729$	$1$		$2$	$239616$	$0.824837$	$-1975392/625$	$0.84418$	$2.71437$	$1$	$[0, 0, 0, -1425, 25750]$	$y^2=x^3-1425x+25750$	8.2.0.a.1	$[(30, 100)]$	$1$
259200.bv1	259200bv1	259200.bv	259200bv	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{10} \cdot 5^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$1437696$	$1.720716$	$-1975392/625$	$0.84418$	$3.57680$	$1$	$[0, 0, 0, -51300, -5562000]$	$y^2=x^3-51300x-5562000$	8.2.0.a.1	$[ ]$	$1$
259200.bw1	259200bw1	259200.bw	259200bw	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{7} \cdot 3^{10} \cdot 5^{10} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$2$	8.2.0.1		$8$	$2$	$0$	$13.45923419$	$1$		$0$	$718848$	$1.374144$	$-1975392/625$	$0.84418$	$3.24316$	$1$	$[0, 0, 0, -12825, -695250]$	$y^2=x^3-12825x-695250$	8.2.0.a.1	$[(2357410/129, 1234787050/129)]$	$1$
259200.bx1	259200bx1	259200.bx	259200bx	$1$	$1$	$ 2^{7} \cdot 3^{4} \cdot 5^{2} $	$ - 2^{13} \cdot 3^{4} \cdot 5^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$479232$	$1.171410$	$-1975392/625$	$0.84418$	$3.04800$	$1$	$[0, 0, 0, -5700, 206000]$	$y^2=x^3-5700x+206000$	8.2.0.a.1	$[ ]$	$1$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 176 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (1-50 of 176 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search