Cremona's table of elliptic curves

665 = 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	5- 7+ 19-	Signs for the Atkin-Lehner involutions
Conductor	665	Conductor
Count	4	Number of curves in isogeny class
Curves	665b1 665b2 665b3 665b4	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	1  0 5- 7+ -4 -2  2 19-	Hecke eigenvalues for primes less than 20
L	2.5513395946814	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	10640z 42560a 5985i 3325g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 665b

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	-2	2	-	-8	6	-8	-6	6	4	8	-6	-12	-2	4	-12	-6	12	-4	-10	2

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Quadratic twists for isogeny class 665b

-4	8	-3	5	-7	-11	13	-19
10640z	42560a	5985i	3325g	4655d	80465s	112385i	12635c

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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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