Cremona's table of elliptic curves

858 = 2 · 3 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	858	Conductor
Count	4	Number of curves in isogeny class
Curves	858h1 858h2 858h3 858h4	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2  0 11- 13-  6  0	Hecke eigenvalues for primes less than 20
L	1.8422546597096	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6864w 27456y 2574j 21450bb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 858h

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	0	-	-	6	0	4	6	4	2	10	-4	8	-6	4	-2	-4	-8	14	-8	4	-6	2

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Quadratic twists for isogeny class 858h

-4	8	-3	5	-7	-11	13
6864w	27456y	2574j	21450bb	42042dm	9438e	11154d

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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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