Cremona's table of elliptic curves

1287 = 3² · 11 · 13

Field	Data	Notes
Atkin-Lehner	3- 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	1287	Conductor
Count	6	Number of curves in isogeny class
Curves	1287e1 1287e2 1287e3 1287e4 1287e5 1287e6	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	1 3-  2  0 11- 13-  6 -4	Hecke eigenvalues for primes less than 20
L	2.422614242287	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	20592bg 82368w 429b 32175p	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1287e

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	-	-	6	-4	8	10	0	6	-10	4	-8	10	12	14	-12	0	-6	8	-12	-2	-14

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Quadratic twists for isogeny class 1287e

-4	8	-3	5	-7	-11	13
20592bg	82368w	429b	32175p	63063t	14157l	16731h

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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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