Elliptic curve search results

Results (8 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	Manin constant
28710.s2	28710e1	28710.s	28710e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 29 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7656$	$12$	$0$	$0.985108257$	$1$		$7$	$10752$	$0.362403$	$63378025803/14801600$	$0.83663$	$2.74410$	$[1, -1, 0, -249, -1107]$	\(y^2+xy=x^3-x^2-249x-1107\)	2.3.0.a.1, 66.6.0.a.1, 696.6.0.?, 2552.6.0.?, 7656.12.0.?	$[(-6, -9)]$	$1$
28710.bb2	28710v1	28710.bb	28710v	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 29 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7656$	$12$	$0$	$0.768719780$	$1$		$7$	$32256$	$0.911709$	$63378025803/14801600$	$0.83663$	$3.38625$	$[1, -1, 1, -2243, 32131]$	\(y^2+xy+y=x^3-x^2-2243x+32131\)	2.3.0.a.1, 66.6.0.a.1, 696.6.0.?, 2552.6.0.?, 7656.12.0.?	$[(5, 142)]$	$1$
143550.t2	143550fq1	143550.t	143550fq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 29 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 11 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7656$	$12$	$0$	$1$	$1$		$1$	$774144$	$1.716429$	$63378025803/14801600$	$0.83663$	$3.74052$	$[1, -1, 0, -56067, 3960341]$	\(y^2+xy=x^3-x^2-56067x+3960341\)	2.3.0.a.1, 66.6.0.a.1, 696.6.0.?, 2552.6.0.?, 7656.12.0.?	$[ ]$	$1$
143550.dx2	143550cq1	143550.dx	143550cq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 29 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 11 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7656$	$12$	$0$	$1.559250564$	$1$		$7$	$258048$	$1.167122$	$63378025803/14801600$	$0.83663$	$3.18540$	$[1, -1, 1, -6230, -144603]$	\(y^2+xy+y=x^3-x^2-6230x-144603\)	2.3.0.a.1, 66.6.0.a.1, 696.6.0.?, 2552.6.0.?, 7656.12.0.?	$[(-27, 71)]$	$1$
229680.t2	229680cm1	229680.t	229680cm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 29 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7656$	$12$	$0$	$1$	$1$		$1$	$774144$	$1.604856$	$63378025803/14801600$	$0.83663$	$3.48964$	$[0, 0, 0, -35883, -2020518]$	\(y^2=x^3-35883x-2020518\)	2.3.0.a.1, 66.6.0.a.1, 696.6.0.?, 2552.6.0.?, 7656.12.0.?	$[ ]$	$1$
229680.cm2	229680cg1	229680.cm	229680cg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 29 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7656$	$12$	$0$	$1.019706956$	$1$		$7$	$258048$	$1.055550$	$63378025803/14801600$	$0.83663$	$2.95566$	$[0, 0, 0, -3987, 74834]$	\(y^2=x^3-3987x+74834\)	2.3.0.a.1, 66.6.0.a.1, 696.6.0.?, 2552.6.0.?, 7656.12.0.?	$[(-7, 320)]$	$1$
315810.j2	315810j1	315810.j	315810j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 29 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11^{7} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7656$	$12$	$0$	$5.727490812$	$1$		$13$	$3870720$	$2.110657$	$63378025803/14801600$	$0.83663$	$3.88120$	$[1, -1, 0, -271365, -41952619]$	\(y^2+xy=x^3-x^2-271365x-41952619\)	2.3.0.a.1, 66.6.0.a.1, 696.6.0.?, 2552.6.0.?, 7656.12.0.?	$[(-382, 2611), (-278, 3595)]$	$1$
315810.dx2	315810dx1	315810.dx	315810dx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 29 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7656$	$12$	$0$	$0.614443544$	$1$		$9$	$1290240$	$1.561350$	$63378025803/14801600$	$0.83663$	$3.36065$	$[1, -1, 1, -30152, 1563851]$	\(y^2+xy+y=x^3-x^2-30152x+1563851\)	2.3.0.a.1, 66.6.0.a.1, 696.6.0.?, 2552.6.0.?, 7656.12.0.?	$[(-129, 1879)]$	$1$

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