Cremona's table of elliptic curves

2535 = 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	2535	Conductor
Count	8	Number of curves in isogeny class
Curves	2535a1 2535a2 2535a3 2535a4 2535a5 2535a6 2535a7 2535a8	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+  0  4 13+  2 -4	Hecke eigenvalues for primes less than 20
L	3.1956681160408	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	40560ca 7605q 12675x 124215cv	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2535a

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

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Quadratic twists for isogeny class 2535a

-4	-3	5	-7	13
40560ca	7605q	12675x	124215cv	15a

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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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