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	899b1	Curves in isogeny class
deg	58	Modular degree for the optimal curve
Eigenvalues	2  1  2  5 -3  2 -3 -2	Hecke eigenvalues for primes less than 20
L	4.6049071056349	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	14384i 57536b 8091d 22475e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 899b

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	1	2	5	-3	2	-3	-2	4	-	+	-6	-2	0	6	-8	4	11	7	-8	1	-8	12	-7	8

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Quadratic twists for isogeny class 899b

-4	8	-3	5	-7	-11	29	-31
14384i	57536b	8091d	22475e	44051l	108779a	26071b	27869c

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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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