Cremona's table of elliptic curves

38 = 2 · 19

Field	Data	Notes
Atkin-Lehner	2- 19+	Signs for the Atkin-Lehner involutions
Conductor	38	Conductor
Count	2	Number of curves in isogeny class
Curves	38b1 38b2	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	2- -1 -4  3  2 -1  3 19+	Hecke eigenvalues for primes less than 20
L	0.8192456330551	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	304a 1216f 342g 950a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 38b

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	-4	3	2	-1	3	+	-1	-5	-8	-2	-8	4	8	-1	15	2	3	2	9	-10	-6	0	-2

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Quadratic twists for isogeny class 38b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53
304a	1216f	342g	950a	1862f	4598k	6422b	10982c	722c	20102s	31958g	36518d	52022f	63878g	70262b	83942l	106742c

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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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