Cremona's table of elliptic curves

3705 = 3 · 5 · 13 · 19

Field	Data	Notes
Atkin-Lehner	3+ 5- 13- 19-	Signs for the Atkin-Lehner involutions
Conductor	3705	Conductor
Count	6	Number of curves in isogeny class
Curves	3705e1 3705e2 3705e3 3705e4 3705e5 3705e6	Curves in isogeny class
deg	1792	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5-  0 -4 13- -6 19-	Hecke eigenvalues for primes less than 20
L	0.64453522343452	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	59280cf 11115f 18525m 48165a	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 3705e

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	-4	-	-6	-	0	6	0	6	-6	-4	0	6	4	-2	12	0	-14	8	4	-6	2

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Quadratic twists for isogeny class 3705e

-4	-3	5	13	-19
59280cf	11115f	18525m	48165a	70395q

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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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