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
67620.p1	67620m1	67620.p	67620m	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$23040$	$0.355990$	$174456832/83835$	$0.90193$	$2.48052$	$[0, -1, 0, -205, -398]$	\(y^2=x^3-x^2-205x-398\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[ ]$	$1$
67620.bd1	67620ba1	67620.bd	67620ba	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$161280$	$1.328945$	$174456832/83835$	$0.90193$	$3.53032$	$[0, 1, 0, -10061, 156624]$	\(y^2=x^3+x^2-10061x+156624\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[ ]$	$1$
202860.n1	202860bi1	202860.n	202860bi	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{12} \cdot 5 \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.422997577$	$1$		$5$	$184320$	$0.905296$	$174456832/83835$	$0.90193$	$2.79692$	$[0, 0, 0, -1848, 12593]$	\(y^2=x^3-1848x+12593\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[(88, 729)]$	$1$
202860.bv1	202860e1	202860.bv	202860e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{12} \cdot 5 \cdot 7^{9} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$1290240$	$1.878250$	$174456832/83835$	$0.90193$	$3.75234$	$[0, 0, 0, -90552, -4319399]$	\(y^2=x^3-90552x-4319399\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[ ]$	$1$
270480.z1	270480z1	270480.z	270480z	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$645120$	$1.328945$	$174456832/83835$	$0.90193$	$3.13904$	$[0, -1, 0, -10061, -156624]$	\(y^2=x^3-x^2-10061x-156624\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[ ]$	$1$
270480.im1	270480im1	270480.im	270480im	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$92160$	$0.355990$	$174456832/83835$	$0.90193$	$2.20560$	$[0, 1, 0, -205, 398]$	\(y^2=x^3+x^2-205x+398\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[ ]$	$1$
338100.bi1	338100bi1	338100.bi	338100bi	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 7^{9} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$3870720$	$2.133663$	$174456832/83835$	$0.90193$	$3.84253$	$[0, -1, 0, -251533, 20081062]$	\(y^2=x^3-x^2-251533x+20081062\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[ ]$	$1$
338100.dg1	338100dg1	338100.dg	338100dg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$0.495708732$	$1$		$9$	$552960$	$1.160709$	$174456832/83835$	$0.90193$	$2.92545$	$[0, 1, 0, -5133, -60012]$	\(y^2=x^3+x^2-5133x-60012\)	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[(93, 525)]$	$1$

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