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	3	Number of curves in isogeny class
Curves	38a1 38a2 38a3	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	2+  1  0 -1 -6  5  3 19-	Hecke eigenvalues for primes less than 20
L	0.6302107433141	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	304b 1216b 342a 950e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 38a

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	0	-1	-6	5	3	-	3	9	-4	2	0	8	0	-3	9	-10	5	-6	-7	-10	-6	-12	-10

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Quadratic twists for isogeny class 38a

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

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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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