Cremona's table of elliptic curves

646 = 2 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 17+ 19+	Signs for the Atkin-Lehner involutions
Conductor	646	Conductor
Count	2	Number of curves in isogeny class
Curves	646c1 646c2	Curves in isogeny class
deg	448	Modular degree for the optimal curve
Eigenvalues	2- -2  4  4  2 -6 17+ 19+	Hecke eigenvalues for primes less than 20
L	2.3277953902704	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5168h 20672k 5814h 16150e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 646c

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	4	4	2	-6	+	+	0	-8	8	-4	10	0	-8	-6	0	-8	8	-12	-6	-4	8	18	2

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Quadratic twists for isogeny class 646c

-4	8	-3	5	-7	-11	13	17	-19
5168h	20672k	5814h	16150e	31654w	78166h	109174e	10982d	12274e

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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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