Elliptic curves over $\Q$ of conductor 5240

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (7 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
5240.a1	5240e1	5240.a	5240e	$1$	$1$	\( 2^{3} \cdot 5 \cdot 131 \)	\( - 2^{11} \cdot 5 \cdot 131 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5240$	$2$	$0$	$1$	$1$		$0$	$1680$	$-0.095024$	$-4293378/655$	$0.71323$	$2.70096$	$[0, 0, 0, -43, -122]$	\(y^2=x^3-43x-122\)	5240.2.0.?	$[ ]$	$1$
5240.b1	5240c1	5240.b	5240c	$1$	$1$	\( 2^{3} \cdot 5 \cdot 131 \)	\( - 2^{8} \cdot 5^{4} \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$262$	$2$	$0$	$0.133848143$	$1$		$10$	$1408$	$0.094101$	$135834624/81875$	$0.83753$	$2.83418$	$[0, 0, 0, 68, -44]$	\(y^2=x^3+68x-44\)	262.2.0.?	$[(2, 10)]$	$1$
5240.c1	5240f1	5240.c	5240f	$1$	$1$	\( 2^{3} \cdot 5 \cdot 131 \)	\( - 2^{8} \cdot 5^{6} \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$262$	$2$	$0$	$0.449824538$	$1$		$6$	$1536$	$0.364539$	$-1326109696/2046875$	$0.82330$	$3.25197$	$[0, -1, 0, -145, -1243]$	\(y^2=x^3-x^2-145x-1243\)	262.2.0.?	$[(19, 50)]$	$1$
5240.d1	5240d1	5240.d	5240d	$2$	$2$	\( 2^{3} \cdot 5 \cdot 131 \)	\( 2^{4} \cdot 5^{5} \cdot 131^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2620$	$12$	$0$	$1$	$1$		$1$	$3120$	$0.542696$	$6870610888704/53628125$	$0.92537$	$3.77517$	$[0, 0, 0, -998, 12053]$	\(y^2=x^3-998x+12053\)	2.3.0.a.1, 10.6.0.a.1, 524.6.0.?, 2620.12.0.?	$[ ]$	$1$
5240.d2	5240d2	5240.d	5240d	$2$	$2$	\( 2^{3} \cdot 5 \cdot 131 \)	\( - 2^{8} \cdot 5^{10} \cdot 131 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2620$	$12$	$0$	$1$	$1$		$1$	$6240$	$0.889270$	$-17432758224/1279296875$	$1.19864$	$3.96742$	$[0, 0, 0, -343, 27642]$	\(y^2=x^3-343x+27642\)	2.3.0.a.1, 20.6.0.c.1, 262.6.0.?, 2620.12.0.?	$[ ]$	$1$
5240.e1	5240b1	5240.e	5240b	$1$	$1$	\( 2^{3} \cdot 5 \cdot 131 \)	\( - 2^{4} \cdot 5 \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$0.820137654$	$1$		$2$	$320$	$-0.549610$	$-256/655$	$0.74283$	$1.95143$	$[0, -1, 0, 0, 5]$	\(y^2=x^3-x^2+5\)	1310.2.0.?	$[(2, 3)]$	$1$
5240.f1	5240a1	5240.f	5240a	$1$	$1$	\( 2^{3} \cdot 5 \cdot 131 \)	\( - 2^{8} \cdot 5^{2} \cdot 131^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$262$	$2$	$0$	$1$	$1$		$0$	$6912$	$0.629749$	$-2198209536/56202275$	$0.92464$	$3.60421$	$[0, 0, 0, -172, -5836]$	\(y^2=x^3-172x-5836\)	262.2.0.?	$[ ]$	$1$

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