Cremona's table of elliptic curves

80 = 2⁴ · 5

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Conductor	80	Conductor
Count	4	Number of curves in isogeny class
Curves	80b1 80b2 80b3 80b4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2-  2 5+ -2  0  2 -6  4	Hecke eigenvalues for primes less than 20
L	1.1370825995205	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	20a 320f 720i 400e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 80b

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

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Quadratic twists for isogeny class 80b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
20a	320f	720i	400e	3920bf	9680t	13520bb	23120bj	28880y	42320z	67280q	76880s	109520y

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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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