Cremona's table of elliptic curves

1989 = 3² · 13 · 17

Field	Data	Notes
Atkin-Lehner	3- 13- 17+	Signs for the Atkin-Lehner involutions
Conductor	1989	Conductor
Count	6	Number of curves in isogeny class
Curves	1989e1 1989e2 1989e3 1989e4 1989e5 1989e6	Curves in isogeny class
deg	1024	Modular degree for the optimal curve
Eigenvalues	1 3-  2  0 -4 13- 17+ -4	Hecke eigenvalues for primes less than 20
L	3.8716271128894	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	31824bk 127296h 663b 49725i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1989e

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

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Quadratic twists for isogeny class 1989e

-4	8	-3	5	-7	13	17
31824bk	127296h	663b	49725i	97461m	25857h	33813n

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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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