Cremona's table of elliptic curves

899 = 29 · 31

Field	Data	Notes
Atkin-Lehner	29+ 31+	Signs for the Atkin-Lehner involutions
Conductor	899	Conductor
Count	1	Number of curves in isogeny class
Curves	899a1	Curves in isogeny class
deg	28	Modular degree for the optimal curve
Eigenvalues	1 -2  1  2  0  2 -3 -5	Hecke eigenvalues for primes less than 20
L	2.3407393198619	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	14384e 57536j 8091e 22475b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 899a

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	-2	1	2	0	2	-3	-5	-1	+	+	-3	-10	-6	-9	-10	8	-7	-2	14	-11	4	9	13	2

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Quadratic twists for isogeny class 899a

-4	8	-3	5	-7	-11	29	-31
14384e	57536j	8091e	22475b	44051g	108779e	26071a	27869f

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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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