Cremona's table of elliptic curves

1587 = 3 · 23²

Field	Data	Notes
Atkin-Lehner	3+ 23-	Signs for the Atkin-Lehner involutions
Conductor	1587	Conductor
Count	2	Number of curves in isogeny class
Curves	1587b1 1587b2	Curves in isogeny class
deg	8832	Modular degree for the optimal curve
Eigenvalues	1 3+ -4 -4  0 -2 -4 -4	Hecke eigenvalues for primes less than 20
L	0.17271916180085	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	25392bj 101568bt 4761d 39675bf	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1587b

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	+	-4	-4	0	-2	-4	-4	-	2	-8	8	-6	-4	0	4	-4	-8	-12	8	6	4	0	-12	-8

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Quadratic twists for isogeny class 1587b

-4	8	-3	5	-7	-23
25392bj	101568bt	4761d	39675bf	77763bc	1587a

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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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