Cremona's table of elliptic curves

116 = 2² · 29

Field	Data	Notes
Atkin-Lehner	2- 29+	Signs for the Atkin-Lehner involutions
Conductor	116	Conductor
Count	2	Number of curves in isogeny class
Curves	116b1 116b2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2-  1  3 -4  3  5 -6 -4	Hecke eigenvalues for primes less than 20
L	1.2764922776941	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	464d 1856d 1044j 2900b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 116b

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	3	-4	3	5	-6	-4	-6	+	5	8	0	-1	-3	3	6	2	8	6	-16	11	6	-12	8

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Quadratic twists for isogeny class 116b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
464d	1856d	1044j	2900b	5684f	14036d	19604a	33524d	41876c	61364a	3364a	111476d

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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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