Cremona's table of elliptic curves

260 = 2² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	260	Conductor
Count	2	Number of curves in isogeny class
Curves	260a1 260a2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2-  2 5+  2  4 13+  2  0	Hecke eigenvalues for primes less than 20
L	1.7644191645459	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1040d 4160h 2340g 1300d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 260a

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

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Quadratic twists for isogeny class 260a

-4	8	-3	5	-7	-11	13	17	-19
1040d	4160h	2340g	1300d	12740g	31460i	3380h	75140g	93860g

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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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