Cremona's table of elliptic curves

56 = 2³ · 7

Field	Data	Notes
Atkin-Lehner	2- 7+	Signs for the Atkin-Lehner involutions
Conductor	56	Conductor
Count	4	Number of curves in isogeny class
Curves	56a1 56a2 56a3 56a4	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	2-  0  2 7+ -4  2 -6  8	Hecke eigenvalues for primes less than 20
L	0.87454831418834	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	112b 448a 504c 1400a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 56a

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	2	+	-4	2	-6	8	0	6	8	-2	2	-4	-8	6	0	-6	-4	-8	10	16	8	-6	-6

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Quadratic twists for isogeny class 56a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47
112b	448a	504c	1400a	392a	6776c	9464d	16184d	20216b	29624n	47096a	53816c	76664b	94136f	103544d	123704d

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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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