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	116c1 116c2	Curves in isogeny class
deg	15	Modular degree for the optimal curve
Eigenvalues	2-  2 -2  4 -6  2  2 -6	Hecke eigenvalues for primes less than 20
L	1.3231190989854	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	464e 1856e 1044h 2900c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 116c

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	4	-6	2	2	-6	4	+	-6	2	2	10	-2	10	0	10	-12	8	10	-6	16	2	10

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Quadratic twists for isogeny class 116c

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

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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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