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
20640.h2	20640c2	20640.h	20640c	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{9} \cdot 3^{2} \cdot 5 \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1720$	$48$	$0$	$1$	$1$		$1$	$18432$	$0.781836$	$284630612552/153846045$	$0.93266$	$3.28262$	$[0, -1, 0, -1096, -3224]$	\(y^2=x^3-x^2-1096x-3224\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$	$[ ]$
20640.n2	20640h3	20640.n	20640h	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{9} \cdot 3^{2} \cdot 5 \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1720$	$48$	$0$	$1$	$1$		$1$	$18432$	$0.781836$	$284630612552/153846045$	$0.93266$	$3.28262$	$[0, 1, 0, -1096, 3224]$	\(y^2=x^3+x^2-1096x+3224\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$	$[ ]$
41280.w1	41280cs4	41280.w	41280cs	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{2} \cdot 5 \cdot 43^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1720$	$48$	$0$	$1$	$1$		$3$	$73728$	$1.128410$	$284630612552/153846045$	$0.93266$	$3.45984$	$[0, -1, 0, -4385, 30177]$	\(y^2=x^3-x^2-4385x+30177\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 344.24.0.?, 1720.48.0.?	$[ ]$
41280.dp1	41280dh4	41280.dp	41280dh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{2} \cdot 5 \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1720$	$48$	$0$	$1$	$4$	$2$	$1$	$73728$	$1.128410$	$284630612552/153846045$	$0.93266$	$3.45984$	$[0, 1, 0, -4385, -30177]$	\(y^2=x^3+x^2-4385x-30177\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 344.24.0.?, 1720.48.0.?	$[ ]$
61920.y2	61920bz3	61920.y	61920bz	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{9} \cdot 3^{8} \cdot 5 \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.331142$	$284630612552/153846045$	$0.93266$	$3.55319$	$[0, 0, 0, -9867, -96914]$	\(y^2=x^3-9867x-96914\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.v.1, 60.12.0-4.c.1.2, $\ldots$	$[ ]$
61920.ce2	61920ce3	61920.ce	61920ce	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{9} \cdot 3^{8} \cdot 5 \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.763743819$	$1$		$1$	$147456$	$1.331142$	$284630612552/153846045$	$0.93266$	$3.55319$	$[0, 0, 0, -9867, 96914]$	\(y^2=x^3-9867x+96914\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$	$[(3601/2, 214785/2)]$
103200.bh2	103200by3	103200.bh	103200by	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{7} \cdot 43^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1720$	$48$	$0$	$4.207645225$	$1$		$5$	$442368$	$1.586555$	$284630612552/153846045$	$0.93266$	$3.66146$	$[0, -1, 0, -27408, 457812]$	\(y^2=x^3-x^2-27408x+457812\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 344.24.0.?, 1720.48.0.?	$[(-132, 1326)]$
103200.bn2	103200cn3	103200.bn	103200cn	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{7} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1720$	$48$	$0$	$3.613804669$	$1$		$3$	$442368$	$1.586555$	$284630612552/153846045$	$0.93266$	$3.66146$	$[0, 1, 0, -27408, -457812]$	\(y^2=x^3+x^2-27408x-457812\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 344.24.0.?, 1720.48.0.?	$[(243, 2700)]$
123840.g1	123840fr4	123840.g	123840fr	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 43^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.395954560$	$1$		$13$	$589824$	$1.677715$	$284630612552/153846045$	$0.93266$	$3.69782$	$[0, 0, 0, -39468, -775312]$	\(y^2=x^3-39468x-775312\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.v.1, 120.24.0.?, $\ldots$	$[(-59, 1161), (8068, 724464)]$
123840.di1	123840eu4	123840.di	123840eu	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$2.369475116$	$1$		$5$	$589824$	$1.677715$	$284630612552/153846045$	$0.93266$	$3.69782$	$[0, 0, 0, -39468, 775312]$	\(y^2=x^3-39468x+775312\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.v.1, 120.24.0.?, $\ldots$	$[(194, 648)]$
206400.i1	206400dt4	206400.i	206400dt	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{7} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1720$	$48$	$0$	$1.060566224$	$1$		$7$	$1769472$	$1.933128$	$284630612552/153846045$	$0.93266$	$3.79391$	$[0, -1, 0, -109633, -3552863]$	\(y^2=x^3-x^2-109633x-3552863\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$	$[(-227, 3096)]$
206400.kk1	206400cm3	206400.kk	206400cm	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{7} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1720$	$48$	$0$	$10.39517450$	$1$		$1$	$1769472$	$1.933128$	$284630612552/153846045$	$0.93266$	$3.79391$	$[0, 1, 0, -109633, 3552863]$	\(y^2=x^3+x^2-109633x+3552863\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$	$[(50306/7, 10705563/7)]$
309600.i2	309600i2	309600.i	309600i	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{9} \cdot 3^{8} \cdot 5^{7} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.135860$	$284630612552/153846045$	$0.93266$	$3.86466$	$[0, 0, 0, -246675, 12114250]$	\(y^2=x^3-246675x+12114250\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.v.1, 120.24.0.?, $\ldots$	$[ ]$
309600.fe2	309600fe4	309600.fe	309600fe	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{9} \cdot 3^{8} \cdot 5^{7} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.045089914$	$1$		$3$	$3538944$	$2.135860$	$284630612552/153846045$	$0.93266$	$3.86466$	$[0, 0, 0, -246675, -12114250]$	\(y^2=x^3-246675x-12114250\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.v.1, 120.24.0.?, $\ldots$	$[(1594, 60372)]$

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