Elliptic curve search results

Results (14 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
6510.r5	6510r1	6510.r	6510r	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 31 \)	$0$	$\Z/8\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.159	2B	$3472$	$192$	$1$	$1$	$1$		$7$	$40960$	$1.631878$	$870215264126076959/2316066449760000$	$0.97694$	$4.84999$	$[1, 1, 1, 19890, 2056587]$	\(y^2+xy+y=x^3+x^2+19890x+2056587\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 62.6.0.b.1, 112.96.0.?, $\ldots$	$[ ]$
19530.p5	19530m1	19530.p	19530m	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 31 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 7^{8} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$10416$	$192$	$1$	$1.823958900$	$1$		$5$	$327680$	$2.181183$	$870215264126076959/2316066449760000$	$0.97694$	$4.97787$	$[1, -1, 0, 179010, -55348844]$	\(y^2+xy=x^3-x^2+179010x-55348844\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 24.48.0-8.bb.1.2, $\ldots$	$[(348, 6826)]$
32550.s5	32550t1	32550.s	32550t	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 31 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{10} \cdot 7^{8} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$17360$	$192$	$1$	$1$	$1$		$1$	$983040$	$2.436596$	$870215264126076959/2316066449760000$	$0.97694$	$5.02812$	$[1, 0, 1, 497249, 256078898]$	\(y^2+xy+y=x^3+497249x+256078898\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.2, 40.48.0-8.bb.1.7, $\ldots$	$[ ]$
45570.cr5	45570da1	45570.cr	45570da	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 7^{14} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.106	2B	$3472$	$192$	$1$	$1.821160804$	$1$		$7$	$1966080$	$2.604832$	$870215264126076959/2316066449760000$	$0.97694$	$5.05860$	$[1, 0, 0, 974609, -702485575]$	\(y^2+xy=x^3+974609x-702485575\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0-8.bb.1.4, 28.12.0-4.c.1.2, $\ldots$	$[(578, 7061)]$
52080.bw5	52080bz1	52080.bw	52080bz	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 31 \)	\( - 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.176	2B	$3472$	$192$	$1$	$2.103017358$	$1$		$5$	$983040$	$2.325024$	$870215264126076959/2316066449760000$	$0.97694$	$4.68724$	$[0, 1, 0, 318240, -130985100]$	\(y^2=x^3+x^2+318240x-130985100\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 62.6.0.b.1, 112.96.0.?, $\ldots$	$[(570, 15360)]$
97650.df5	97650da1	97650.df	97650da	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 31 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{10} \cdot 7^{8} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$52080$	$192$	$1$	$5.666064369$	$1$		$3$	$7864320$	$2.985901$	$870215264126076959/2316066449760000$	$0.97694$	$5.12105$	$[1, -1, 1, 4475245, -6914130253]$	\(y^2+xy+y=x^3-x^2+4475245x-6914130253\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 60.12.0-4.c.1.2, 62.6.0.b.1, $\ldots$	$[(10651/3, 151510/3)]$
136710.de5	136710dv1	136710.de	136710dv	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 7^{14} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$10416$	$192$	$1$	$5.099770471$	$1$		$3$	$15728640$	$3.154140$	$870215264126076959/2316066449760000$	$0.97694$	$5.14606$	$[1, -1, 0, 8771481, 18967110525]$	\(y^2+xy=x^3-x^2+8771481x+18967110525\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 48.48.0-8.bb.1.4, 62.6.0.b.1, $\ldots$	$[(7566, 716217)]$
156240.d5	156240bx1	156240.d	156240bx	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 31 \)	\( - 2^{20} \cdot 3^{10} \cdot 5^{4} \cdot 7^{8} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$10416$	$192$	$1$	$1$	$1$		$1$	$7864320$	$2.874332$	$870215264126076959/2316066449760000$	$0.97694$	$4.80784$	$[0, 0, 0, 2864157, 3539461858]$	\(y^2=x^3+2864157x+3539461858\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 24.48.0-8.bb.1.1, $\ldots$	$[ ]$
201810.cu5	201810d1	201810.cu	201810d	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 31^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.165	2B	$3472$	$192$	$1$	$1$	$1$		$3$	$39321600$	$3.348869$	$870215264126076959/2316066449760000$	$0.97694$	$5.17329$	$[1, 0, 0, 19114270, -61019303100]$	\(y^2+xy=x^3+19114270x-61019303100\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.8, 62.6.0.b.1, 112.96.0.?, $\ldots$	$[ ]$
208320.e5	208320cx1	208320.e	208320cx	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 31 \)	\( - 2^{26} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.215	2B	$3472$	$192$	$1$	$6.099616212$	$1$		$1$	$7864320$	$2.671597$	$870215264126076959/2316066449760000$	$0.97694$	$4.49625$	$[0, -1, 0, 1272959, -1049153759]$	\(y^2=x^3-x^2+1272959x-1049153759\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.5, 62.6.0.b.1, 112.96.0.?, $\ldots$	$[(178789/7, 78336000/7)]$
208320.em5	208320ef1	208320.em	208320ef	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 31 \)	\( - 2^{26} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.219	2B	$3472$	$192$	$1$	$1.294960545$	$1$		$5$	$7864320$	$2.671597$	$870215264126076959/2316066449760000$	$0.97694$	$4.49625$	$[0, 1, 0, 1272959, 1049153759]$	\(y^2=x^3+x^2+1272959x+1049153759\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 62.6.0.b.1, 112.96.0.?, $\ldots$	$[(-286, 25725)]$
227850.j5	227850in1	227850.j	227850in	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 31 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{10} \cdot 7^{14} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$17360$	$192$	$1$	$3.835075777$	$1$		$3$	$47185920$	$3.409550$	$870215264126076959/2316066449760000$	$0.97694$	$5.18142$	$[1, 1, 0, 24365225, -87810696875]$	\(y^2+xy=x^3+x^2+24365225x-87810696875\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 62.6.0.b.1, 80.48.0.?, $\ldots$	$[(21265, 3159055)]$
260400.dp5	260400dp1	260400.dp	260400dp	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 31 \)	\( - 2^{20} \cdot 3^{4} \cdot 5^{10} \cdot 7^{8} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$17360$	$192$	$1$	$1$	$1$		$1$	$23592960$	$3.129745$	$870215264126076959/2316066449760000$	$0.97694$	$4.85667$	$[0, -1, 0, 7955992, -16389049488]$	\(y^2=x^3-x^2+7955992x-16389049488\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.1, 40.48.0-8.bb.1.8, $\ldots$	$[ ]$
364560.bz5	364560bz1	364560.bz	364560bz	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31 \)	\( - 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 7^{14} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.104	2B	$3472$	$192$	$1$	$8.348902483$	$1$		$3$	$47185920$	$3.297981$	$870215264126076959/2316066449760000$	$0.97694$	$4.88671$	$[0, -1, 0, 15593744, 44959076800]$	\(y^2=x^3-x^2+15593744x+44959076800\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0-8.bb.1.2, 28.12.0-4.c.1.1, $\ldots$	$[(1011688, 1017590400)]$

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