Cremona's table of elliptic curves

525 = 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	525	Conductor
Count	6	Number of curves in isogeny class
Curves	525b1 525b2 525b3 525b4 525b5 525b6	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+ 7-  4  2  6  4	Hecke eigenvalues for primes less than 20
L	1.6139595394337	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	8400cd 33600dd 1575g 21a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 525b

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	+	+	-	4	2	6	4	0	-2	0	-6	2	4	0	-6	12	-2	-4	0	6	-16	12	-14	-18

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Quadratic twists for isogeny class 525b

-4	8	-3	5	-7	-11	13
8400cd	33600dd	1575g	21a	3675j	63525i	88725h

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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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