Elliptic curves over $\Q$ of conductor 5819

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

Results (3 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
5819.a1	5819a3	5819.a	5819a	$3$	$25$	\( 11 \cdot 23^{2} \)	\( - 11 \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.2	5B.4.2	$12650$	$1200$	$37$	$1$	$1$		$0$	$63250$	$2.064457$	$-52893159101157376/11$	$1.09296$	$6.61216$	$[0, -1, 1, -4136956, 3240070018]$	\(y^2+y=x^3-x^2-4136956x+3240070018\)	5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 115.24.0.?, $\ldots$	$[ ]$	$1$
5819.a2	5819a2	5819.a	5819a	$3$	$25$	\( 11 \cdot 23^{2} \)	\( - 11^{5} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.60.0.1	5Cs.4.1	$12650$	$1200$	$37$	$1$	$1$		$0$	$12650$	$1.259737$	$-122023936/161051$	$1.01300$	$4.45510$	$[0, -1, 1, -5466, 283578]$	\(y^2+y=x^3-x^2-5466x+283578\)	5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 115.120.0.?, 275.300.12.?, $\ldots$	$[ ]$	$1$
5819.a3	5819a1	5819.a	5819a	$3$	$25$	\( 11 \cdot 23^{2} \)	\( - 11 \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.1	5B.4.1	$12650$	$1200$	$37$	$1$	$1$		$0$	$2530$	$0.455019$	$-4096/11$	$0.82546$	$3.32923$	$[0, -1, 1, -176, -2082]$	\(y^2+y=x^3-x^2-176x-2082\)	5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 115.24.0.?, $\ldots$	$[ ]$	$1$

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