Cremona's table of elliptic curves

267 = 3 · 89

Field	Data	Notes
Atkin-Lehner	3- 89+	Signs for the Atkin-Lehner involutions
Conductor	267	Conductor
Count	2	Number of curves in isogeny class
Curves	267a1 267a2	Curves in isogeny class
deg	10	Modular degree for the optimal curve
Eigenvalues	0 3-  0  2  6  2  0 -4	Hecke eigenvalues for primes less than 20
L	1.4182965360516	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4272c 17088a 801c 6675a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 267a

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
0	-	0	2	6	2	0	-4	3	-3	-4	-4	3	-4	6	0	9	8	-13	-6	-7	-1	-9	+	-1

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Quadratic twists for isogeny class 267a

-4	8	-3	5	-7	-11	13	17	-19	89
4272c	17088a	801c	6675a	13083c	32307i	45123j	77163a	96387b	23763a

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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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