Elliptic curves over $\Q$ of conductor 1083

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

Results (11 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
1083.a1	1083b3	1083.a	1083b	$4$	$4$	\( 3 \cdot 19^{2} \)	\( 3^{4} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$456$	$48$	$0$	$1$	$1$		$0$	$2160$	$1.227211$	$115714886617/1539$	$0.98111$	$6.17404$	$[1, 1, 1, -36649, -2715724]$	\(y^2+xy+y=x^3+x^2-36649x-2715724\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 76.24.0.?, 456.48.0.?	$[ ]$	$1$
1083.a2	1083b2	1083.a	1083b	$4$	$4$	\( 3 \cdot 19^{2} \)	\( 3^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$228$	$48$	$0$	$1$	$1$		$2$	$1080$	$0.880637$	$30664297/3249$	$0.90727$	$4.99539$	$[1, 1, 1, -2354, -40714]$	\(y^2+xy+y=x^3+x^2-2354x-40714\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 76.24.0.?, 228.48.0.?	$[ ]$	$1$
1083.a3	1083b1	1083.a	1083b	$4$	$4$	\( 3 \cdot 19^{2} \)	\( 3 \cdot 19^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$456$	$48$	$0$	$1$	$1$		$3$	$540$	$0.534063$	$389017/57$	$0.96267$	$4.37038$	$[1, 1, 1, -549, 4050]$	\(y^2+xy+y=x^3+x^2-549x+4050\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 114.6.0.?, 152.24.0.?, $\ldots$	$[ ]$	$1$
1083.a4	1083b4	1083.a	1083b	$4$	$4$	\( 3 \cdot 19^{2} \)	\( - 3 \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$456$	$48$	$0$	$1$	$1$		$0$	$2160$	$1.227211$	$67419143/390963$	$0.97474$	$5.42292$	$[1, 1, 1, 3061, -194500]$	\(y^2+xy+y=x^3+x^2+3061x-194500\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$	$[ ]$	$1$
1083.b1	1083d2	1083.b	1083d	$2$	$7$	\( 3 \cdot 19^{2} \)	\( - 3^{7} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$798$	$96$	$2$	$0.106684928$	$1$		$8$	$252$	$0.241254$	$-89289015625/2187$	$1.08884$	$4.45139$	$[1, 0, 0, -663, 6516]$	\(y^2+xy=x^3-663x+6516\)	6.2.0.a.1, 7.8.0.a.1, 42.16.0.a.1, 133.48.0.?, 798.96.2.?	$[(15, -9)]$	$1$
1083.b2	1083d1	1083.b	1083d	$2$	$7$	\( 3 \cdot 19^{2} \)	\( - 3 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$798$	$96$	$2$	$0.746794500$	$1$		$4$	$36$	$-0.731701$	$2375/3$	$0.82914$	$1.97917$	$[1, 0, 0, 2, -1]$	\(y^2+xy=x^3+2x-1\)	6.2.0.a.1, 7.8.0.a.1, 42.16.0.a.1, 133.48.0.?, 798.96.2.?	$[(1, 1)]$	$1$
1083.c1	1083a2	1083.c	1083a	$2$	$7$	\( 3 \cdot 19^{2} \)	\( - 3^{7} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.16.0.2	7B.2.3	$798$	$96$	$2$	$24.99860541$	$1$		$0$	$4788$	$1.713474$	$-89289015625/2187$	$1.08884$	$6.97972$	$[1, 1, 0, -239350, -45171941]$	\(y^2+xy=x^3+x^2-239350x-45171941\)	6.2.0.a.1, 7.16.0-7.a.1.1, 42.32.0-42.a.1.4, 133.48.0.?, 798.96.2.?	$[(53859172782/7987, 9391164040457921/7987)]$	$1$
1083.c2	1083a1	1083.c	1083a	$2$	$7$	\( 3 \cdot 19^{2} \)	\( - 3 \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.16.0.1	7B.2.1	$798$	$96$	$2$	$3.571229344$	$1$		$2$	$684$	$0.740519$	$2375/3$	$0.82914$	$4.50750$	$[1, 1, 0, 715, 8292]$	\(y^2+xy=x^3+x^2+715x+8292\)	6.2.0.a.1, 7.16.0-7.a.1.2, 42.32.0-42.a.1.2, 133.48.0.?, 798.96.2.?	$[(4, 104)]$	$1$
1083.d1	1083c2	1083.d	1083c	$2$	$5$	\( 3 \cdot 19^{2} \)	\( - 3^{2} \cdot 19^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$190$	$48$	$1$	$1$	$1$		$0$	$21600$	$2.123627$	$-9358714467168256/22284891$	$1.06833$	$7.79131$	$[0, -1, 1, -1584910, 768519165]$	\(y^2+y=x^3-x^2-1584910x+768519165\)	5.12.0.a.2, 10.24.0-5.a.2.2, 38.2.0.a.1, 95.24.0.?, 190.48.1.?	$[ ]$	$1$
1083.d2	1083c1	1083.d	1083c	$2$	$5$	\( 3 \cdot 19^{2} \)	\( - 3^{10} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$190$	$48$	$1$	$1$	$1$		$0$	$4320$	$1.318909$	$841232384/1121931$	$1.00490$	$5.50740$	$[0, -1, 1, 7100, 260625]$	\(y^2+y=x^3-x^2+7100x+260625\)	5.12.0.a.1, 10.24.0-5.a.1.1, 38.2.0.a.1, 95.24.0.?, 190.48.1.?	$[ ]$	$1$
1083.e1	1083e1	1083.e	1083e	$1$	$1$	\( 3 \cdot 19^{2} \)	\( - 3^{2} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.194156810$	$1$		$0$	$1440$	$0.635671$	$-1404928/171$	$0.86512$	$4.58148$	$[0, 1, 1, -842, -10633]$	\(y^2+y=x^3+x^2-842x-10633\)	38.2.0.a.1	$[(157/2, 1079/2)]$	$1$

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