Cremona's table of elliptic curves

1083 = 3 · 19²

Field	Data	Notes
Atkin-Lehner	3+ 19-	Signs for the Atkin-Lehner involutions
Conductor	1083	Conductor
Count	4	Number of curves in isogeny class
Curves	1083b1 1083b2 1083b3 1083b4	Curves in isogeny class
deg	540	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2  0  0 -6 -6 19-	Hecke eigenvalues for primes less than 20
L	0.3450518079264	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	17328bg 69312br 3249e 27075q	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1083b

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-1	+	-2	0	0	-6	-6	-	4	-2	-8	10	2	-4	12	6	12	-2	4	0	10	0	16	2	-10

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Quadratic twists for isogeny class 1083b

-4	8	-3	5	-7	-19
17328bg	69312br	3249e	27075q	53067t	57b

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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