Cremona's table of elliptic curves

286 = 2 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 11+ 13+	Signs for the Atkin-Lehner involutions
Conductor	286	Conductor
Count	1	Number of curves in isogeny class
Curves	286c1	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	2+ -1 -1  1 11+ 13+ -1 -4	Hecke eigenvalues for primes less than 20
L	1.0773574603489	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2288h 9152k 2574w 7150r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 286c

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
+	-1	-1	1	+	+	-1	-4	-8	-8	0	7	-8	11	-1	2	14	-8	8	9	-4	2	0	-4	8

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Quadratic twists for isogeny class 286c

-4	8	-3	5	-7	-11	13	17	-19
2288h	9152k	2574w	7150r	14014c	3146p	3718p	82654c	103246o

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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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