Cremona's table of elliptic curves

8584 = 2³ · 29 · 37

Field	Data	Notes
Atkin-Lehner	2+ 29+ 37+	Signs for the Atkin-Lehner involutions
Conductor	8584	Conductor
Count	4	Number of curves in isogeny class
Curves	8584a1 8584a2 8584a3 8584a4	Curves in isogeny class
deg	1056	Modular degree for the optimal curve
Eigenvalues	2+  0  2  0  0  2 -2  4	Hecke eigenvalues for primes less than 20
L	4.7998060907148	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	17168a 68672m 77256m	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 8584a

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
+	0	2	0	0	2	-2	4	4	+	-8	+	2	-12	-8	-10	-4	2	4	0	10	-8	12	6	-10

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Quadratic twists for isogeny class 8584a

-4	8	-3
17168a	68672m	77256m

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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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