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	80a1 80a2 80a3 80a4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2+  0 5-  4 -4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	1.0094529099892	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	40a 320a 720d 400a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 80a

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	-	4	-4	-2	2	-4	-4	-2	8	6	-6	8	-4	6	4	-2	-8	0	-6	0	16	-6	-14

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Quadratic twists for isogeny class 80a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
40a	320a	720d	400a	3920d	9680h	13520a	23120a	28880h	42320c	67280g	76880j	109520a

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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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