Cremona's table of elliptic curves

35 = 5 · 7

Field	Data	Notes
Atkin-Lehner	5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	35	Conductor
Count	3	Number of curves in isogeny class
Curves	35a1 35a2 35a3	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	0  1 5+ 7- -3  5  3  2	Hecke eigenvalues for primes less than 20
L	0.70291123913491	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	560c 2240m 315a 175b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 35a

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

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Quadratic twists for isogeny class 35a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59
560c	2240m	315a	175b	245c	4235b	5915f	10115g	12635a	18515i	29435c	33635b	47915c	58835a	64715e	77315f	98315i	121835c

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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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