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	2	Number of curves in isogeny class
Curves	56b1 56b2	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2+  2 -4 7-  0  0 -2 -2	Hecke eigenvalues for primes less than 20
L	0.94801911561387	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	112a 448h 504h 1400h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 56b

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

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Quadratic twists for isogeny class 56b

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

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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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