Cremona's table of elliptic curves

67 = Prime conductor

Field	Data	Notes
Atkin-Lehner	67-	Signs for the Atkin-Lehner involutions
Conductor	67	Conductor
Count	1	Number of curves in isogeny class
Curves	67a1	Curves in isogeny class
deg	5	Modular degree for the optimal curve
Eigenvalues	2 -2  2 -2 -4  2  3  7	Hecke eigenvalues for primes less than 20
L	1.2737700365451	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1072a 4288a 603f 1675c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 67a

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
2	-2	2	-2	-4	2	3	7	9	-5	-10	-1	0	-2	-1	10	9	-2	-	0	-7	-8	4	7	0

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Quadratic twists for isogeny class 67a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-67
1072a	4288a	603f	1675c	3283e	8107b	11323c	19363c	24187b	35443b	56347a	64387c	91723b	112627a	123883b	4489b

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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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