Cremona's table of elliptic curves

480 = 2⁵ · 3 · 5

Field	Data	Notes
Atkin-Lehner	2- 3+ 5-	Signs for the Atkin-Lehner involutions
Conductor	480	Conductor
Count	4	Number of curves in isogeny class
Curves	480f1 480f2 480f3 480f4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5- -4  0 -2 -6  0	Hecke eigenvalues for primes less than 20
L	1.683613641418	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	480h 960m 1440e 2400k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 480f

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
-	+	-	-4	0	-2	-6	0	-4	-2	-8	6	-6	12	-12	-10	8	-10	-12	8	10	16	12	-6	18

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Quadratic twists for isogeny class 480f

-4	8	-3	5	-7	-11	13
480h	960m	1440e	2400k	23520bp	58080n	81120e

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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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