Cremona's table of elliptic curves

680 = 2³ · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 17-	Signs for the Atkin-Lehner involutions
Conductor	680	Conductor
Count	4	Number of curves in isogeny class
Curves	680a1 680a2 680a3 680a4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2-  0 5+  0  0 -2 17- -4	Hecke eigenvalues for primes less than 20
L	2.0532909813083	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1360a 5440h 6120k 3400a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 680a

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	+	0	0	-2	-	-4	-8	2	-8	2	2	-4	0	6	-4	-6	4	-8	2	0	4	-6	18

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Quadratic twists for isogeny class 680a

-4	8	-3	5	-7	-11	13	17
1360a	5440h	6120k	3400a	33320q	82280a	114920f	11560j

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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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