Cremona's table of elliptic curves

39 = 3 · 13

Field	Data	Notes
Atkin-Lehner	3+ 13-	Signs for the Atkin-Lehner involutions
Conductor	39	Conductor
Count	4	Number of curves in isogeny class
Curves	39a1 39a2 39a3 39a4	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	1 3+  2 -4  4 13-  2  0	Hecke eigenvalues for primes less than 20
L	0.82668785067339	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	624h 2496k 117a 975g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 39a

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

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Quadratic twists for isogeny class 39a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53
624h	2496k	117a	975g	1911f	4719d	507c	11271f	14079d	20631a	32799i	37479d	53391c	65559d	72111e	86151a	109551k

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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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