Elliptic curve search results

Results (12 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
37920.g1	37920l2	37920.g	37920l	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 79 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$2.681721695$	$1$		$3$	$43008$	$0.748949$	$23987543104/12957975$	$0.89031$	$3.05585$	$[0, -1, 0, -961, -2639]$	\(y^2=x^3-x^2-961x-2639\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[(51, 280)]$
37920.k1	37920f2	37920.k	37920f	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 79 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 79 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$0.578736403$	$1$		$29$	$43008$	$0.748949$	$23987543104/12957975$	$0.89031$	$3.05585$	$[0, 1, 0, -961, 2639]$	\(y^2=x^3+x^2-961x+2639\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[(-1, 60), (47, 252)]$
75840.s2	75840l1	75840.s	75840l	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$43008$	$0.402376$	$23987543104/12957975$	$0.89031$	$2.49722$	$[0, -1, 0, -240, 450]$	\(y^2=x^3-x^2-240x+450\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[ ]$
75840.cs2	75840bl1	75840.cs	75840bl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$43008$	$0.402376$	$23987543104/12957975$	$0.89031$	$2.49722$	$[0, 1, 0, -240, -450]$	\(y^2=x^3+x^2-240x-450\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[ ]$
113760.r1	113760bj2	113760.r	113760bj	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{12} \cdot 3^{14} \cdot 5^{2} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$344064$	$1.298256$	$23987543104/12957975$	$0.89031$	$3.33368$	$[0, 0, 0, -8652, -79904]$	\(y^2=x^3-8652x-79904\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[ ]$
113760.bo1	113760u2	113760.bo	113760u	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{12} \cdot 3^{14} \cdot 5^{2} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$344064$	$1.298256$	$23987543104/12957975$	$0.89031$	$3.33368$	$[0, 0, 0, -8652, 79904]$	\(y^2=x^3-8652x+79904\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[ ]$
189600.y1	189600w2	189600.y	189600w	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$1032192$	$1.553669$	$23987543104/12957975$	$0.89031$	$3.44576$	$[0, -1, 0, -24033, 377937]$	\(y^2=x^3-x^2-24033x+377937\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[ ]$
189600.bg1	189600bf2	189600.bg	189600bf	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$0.657486596$	$1$		$9$	$1032192$	$1.553669$	$23987543104/12957975$	$0.89031$	$3.44576$	$[0, 1, 0, -24033, -377937]$	\(y^2=x^3+x^2-24033x-377937\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[(-57, 900)]$
227520.h2	227520du1	227520.h	227520du	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{6} \cdot 3^{14} \cdot 5^{2} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$344064$	$0.951682$	$23987543104/12957975$	$0.89031$	$2.80919$	$[0, 0, 0, -2163, -9988]$	\(y^2=x^3-2163x-9988\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[ ]$
227520.cl2	227520eq1	227520.cl	227520eq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{6} \cdot 3^{14} \cdot 5^{2} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$6.082961219$	$1$		$1$	$344064$	$0.951682$	$23987543104/12957975$	$0.89031$	$2.80919$	$[0, 0, 0, -2163, 9988]$	\(y^2=x^3-2163x+9988\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[(281/8, 12285/8)]$
379200.o2	379200o1	379200.o	379200o	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 79 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$9.995229807$	$1$		$7$	$1032192$	$1.207094$	$23987543104/12957975$	$0.89031$	$2.93608$	$[0, -1, 0, -6008, -44238]$	\(y^2=x^3-x^2-6008x-44238\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[(-53, 350), (1547, 60750)]$
379200.ip2	379200ip1	379200.ip	379200ip	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$1032192$	$1.207094$	$23987543104/12957975$	$0.89031$	$2.93608$	$[0, 1, 0, -6008, 44238]$	\(y^2=x^3+x^2-6008x+44238\)	2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.?	$[ ]$

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