Elliptic curves over $\Q$ of conductor 95256

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

Results (30 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	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
95256.a1	95256a1	95256.a	95256a	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 7^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$3.909150614$	$1$		$2$	$205632$	$0.954752$	$-9072$	$0.60198$	$3.13083$	$1$	$[0, 0, 0, -3087, -72030]$	\(y^2=x^3-3087x-72030\)	6.2.0.a.1	$[(67, 148)]$	$1$
95256.b1	95256bc1	95256.b	95256bc	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{13} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$427680$	$1.436144$	$-972$	$0.94639$	$3.55799$	$1$	$[0, 0, 0, -11907, -833490]$	\(y^2=x^3-11907x-833490\)	6.2.0.a.1	$[ ]$	$1$
95256.c1	95256bd1	95256.c	95256bd	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 7^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$88128$	$0.531103$	$-9072$	$0.60198$	$2.68738$	$1$	$[0, 0, 0, -567, -5670]$	\(y^2=x^3-567x-5670\)	6.2.0.a.1	$[ ]$	$1$
95256.d1	95256g1	95256.d	95256g	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$84$	$2$	$0$	$1$	$1$		$0$	$338688$	$1.364721$	$972$	$0.74180$	$3.40311$	$1$	$[0, 0, 0, 9261, 302526]$	\(y^2=x^3+9261x+302526\)	84.2.0.?	$[ ]$	$1$
95256.e1	95256bb1	95256.e	95256bb	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{13} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$84$	$2$	$0$	$1$	$1$		$0$	$145152$	$0.941072$	$972$	$0.74180$	$2.95966$	$1$	$[0, 0, 0, 1701, 23814]$	\(y^2=x^3+1701x+23814\)	84.2.0.?	$[ ]$	$1$
95256.f1	95256k1	95256.f	95256k	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{5} \cdot 7^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.932759020$	$1$		$0$	$483840$	$1.667017$	$810034182/16807$	$1.10706$	$3.95189$	$1$	$[0, 0, 0, -75411, 7826574]$	\(y^2=x^3-75411x+7826574\)	168.2.0.?	$[(721/2, 2401/2)]$	$1$
95256.g1	95256f1	95256.g	95256f	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$142560$	$1.130173$	$1296$	$0.77371$	$3.18138$	$1$	$[0, 0, 0, 3969, -55566]$	\(y^2=x^3+3969x-55566\)	6.2.0.a.1	$[ ]$	$1$
95256.h1	95256e1	95256.h	95256e	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 7^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$0.288704953$	$1$		$22$	$165888$	$1.253780$	$-82944$	$1.04124$	$3.54595$	$1$	$[0, 0, 0, -15876, 777924]$	\(y^2=x^3-15876x+777924\)	6.6.0.b.1, 12.24.1.g.1	$[(126, 882), (0, 882)]$	$1$
95256.i1	95256j1	95256.i	95256j	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$3.417599460$	$1$		$2$	$71280$	$0.732146$	$-497664$	$1.22518$	$3.07558$	$1$	$[0, 0, 0, -2646, -52479]$	\(y^2=x^3-2646x-52479\)	6.2.0.a.1	$[(60, 69)]$	$1$
95256.j1	95256l1	95256.j	95256l	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 7^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.778505310$	$1$		$4$	$110592$	$0.906487$	$82944/49$	$1.04124$	$2.96918$	$1$	$[0, 0, 0, 1764, 4116]$	\(y^2=x^3+1764x+4116\)	6.2.0.a.1	$[(70, 686)]$	$1$
95256.k1	95256s1	95256.k	95256s	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{5} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	9.27.0.1		$72$	$54$	$2$	$2.825509267$	$1$		$0$	$55296$	$0.778564$	$4374$	$1.17572$	$2.89390$	$1$	$[0, 0, 0, -1323, 14406]$	\(y^2=x^3-1323x+14406\)	9.27.0.a.1, 24.2.0.a.1, 72.54.2.?	$[(49/2, 49/2)]$	$1$
95256.l1	95256x1	95256.l	95256x	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{11} \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$580608$	$2.014870$	$1059350886/49$	$0.96702$	$4.55027$	$1$	$[0, 0, 0, -742203, 246101814]$	\(y^2=x^3-742203x+246101814\)	24.2.0.a.1	$[ ]$	$1$
95256.m1	95256r1	95256.m	95256r	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$84$	$2$	$0$	$4.905358575$	$1$		$0$	$82944$	$1.036732$	$-972/7$	$0.78164$	$3.12056$	$1$	$[0, 0, 0, -1323, -67914]$	\(y^2=x^3-1323x-67914\)	84.2.0.?	$[(1939/5, 68012/5)]$	$1$
95256.n1	95256w1	95256.n	95256w	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{5} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$168$	$2$	$0$	$1$	$1$		$0$	$25344$	$0.338792$	$20250$	$1.10844$	$2.51836$	$1$	$[0, 0, 0, -315, -2058]$	\(y^2=x^3-315x-2058\)	168.2.0.?	$[ ]$	$1$
95256.o1	95256q1	95256.o	95256q	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{5} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$168$	$2$	$0$	$4.270074517$	$1$		$2$	$177408$	$1.311747$	$20250$	$1.10844$	$3.53678$	$1$	$[0, 0, 0, -15435, 705894]$	\(y^2=x^3-15435x+705894\)	168.2.0.?	$[(58, 76)]$	$1$
95256.p1	95256h1	95256.p	95256h	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{11} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$168$	$2$	$0$	$3.512324084$	$1$		$2$	$76032$	$0.888098$	$20250$	$1.10844$	$3.09334$	$1$	$[0, 0, 0, -2835, 55566]$	\(y^2=x^3-2835x+55566\)	168.2.0.?	$[(22, 62)]$	$1$
95256.q1	95256b1	95256.q	95256b	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{11} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$168$	$2$	$0$	$1$	$1$		$0$	$532224$	$1.861053$	$20250$	$1.10844$	$4.11175$	$1$	$[0, 0, 0, -138915, -19059138]$	\(y^2=x^3-138915x-19059138\)	168.2.0.?	$[ ]$	$1$
95256.r1	95256i1	95256.r	95256i	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{5} \cdot 7^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$11.03567172$	$1$		$0$	$193536$	$1.465565$	$1059350886/49$	$0.96702$	$3.97529$	$1$	$[0, 0, 0, -82467, -9114882]$	\(y^2=x^3-82467x-9114882\)	24.2.0.a.1	$[(-2469719/122, 34236349/122)]$	$1$
95256.s1	95256c1	95256.s	95256c	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{13} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$84$	$2$	$0$	$1$	$1$		$0$	$248832$	$1.586039$	$-972/7$	$0.78164$	$3.69554$	$1$	$[0, 0, 0, -11907, 1833678]$	\(y^2=x^3-11907x+1833678\)	84.2.0.?	$[ ]$	$1$
95256.t1	95256d1	95256.t	95256d	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{11} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	9.27.0.1		$72$	$54$	$2$	$1$	$1$		$0$	$165888$	$1.327869$	$4374$	$1.17572$	$3.46887$	$1$	$[0, 0, 0, -11907, -388962]$	\(y^2=x^3-11907x-388962\)	9.27.0.a.1, 24.2.0.a.1, 72.54.2.?	$[ ]$	$1$
95256.u1	95256ba1	95256.u	95256ba	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$331776$	$1.455793$	$82944/49$	$1.04124$	$3.54415$	$1$	$[0, 0, 0, 15876, -111132]$	\(y^2=x^3+15876x-111132\)	6.2.0.a.1	$[ ]$	$1$
95256.v1	95256y1	95256.v	95256y	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{13} \cdot 7^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$213840$	$1.281452$	$-497664$	$1.22518$	$3.65056$	$1$	$[0, 0, 0, -23814, 1416933]$	\(y^2=x^3-23814x+1416933\)	6.2.0.a.1	$[ ]$	$1$
95256.w1	95256t1	95256.w	95256t	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$2.348709960$	$1$		$2$	$55296$	$0.704474$	$-82944$	$1.04124$	$2.97098$	$1$	$[0, 0, 0, -1764, -28812]$	\(y^2=x^3-1764x-28812\)	6.6.0.b.1, 12.24.1.g.1	$[(49, 49)]$	$1$
95256.x1	95256u1	95256.x	95256u	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$2.319797294$	$1$		$2$	$47520$	$0.580867$	$1296$	$0.77371$	$2.60641$	$1$	$[0, 0, 0, 441, 2058]$	\(y^2=x^3+441x+2058\)	6.2.0.a.1	$[(1, 50)]$	$1$
95256.y1	95256z1	95256.y	95256z	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( 2^{11} \cdot 3^{11} \cdot 7^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$4$	$2$	$0$	$1451520$	$2.216324$	$810034182/16807$	$1.10706$	$4.52686$	$1$	$[0, 0, 0, -678699, -211317498]$	\(y^2=x^3-678699x-211317498\)	168.2.0.?	$[ ]$	$1$
95256.z1	95256m1	95256.z	95256m	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$84$	$2$	$0$	$0.854941456$	$1$		$4$	$48384$	$0.391766$	$972$	$0.74180$	$2.38469$	$1$	$[0, 0, 0, 189, -882]$	\(y^2=x^3+189x-882\)	84.2.0.?	$[(7, 28)]$	$1$
95256.ba1	95256v1	95256.ba	95256v	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{13} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$84$	$2$	$0$	$11.90864776$	$1$		$0$	$1016064$	$1.914028$	$972$	$0.74180$	$3.97808$	$1$	$[0, 0, 0, 83349, -8168202]$	\(y^2=x^3+83349x-8168202\)	84.2.0.?	$[(7663747/29, 21226443868/29)]$	$1$
95256.bb1	95256o1	95256.bb	95256o	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 7^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1.745579717$	$1$		$2$	$29376$	$-0.018203$	$-9072$	$0.60198$	$2.11241$	$1$	$[0, 0, 0, -63, 210]$	\(y^2=x^3-63x+210\)	6.2.0.a.1	$[(-5, 20)]$	$1$
95256.bc1	95256n1	95256.bc	95256n	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1.985362185$	$1$		$2$	$142560$	$0.886839$	$-972$	$0.94639$	$2.98301$	$1$	$[0, 0, 0, -1323, 30870]$	\(y^2=x^3-1323x+30870\)	6.2.0.a.1	$[(15, 120)]$	$1$
95256.bd1	95256p1	95256.bd	95256p	$1$	$1$	\( 2^{3} \cdot 3^{5} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$616896$	$1.504059$	$-9072$	$0.60198$	$3.70580$	$1$	$[0, 0, 0, -27783, 1944810]$	\(y^2=x^3-27783x+1944810\)	6.2.0.a.1	$[ ]$	$1$

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