Cremona's table of elliptic curves

6006 = 2 · 3 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	6006	Conductor
Count	4	Number of curves in isogeny class
Curves	6006m1 6006m2 6006m3 6006m4	Curves in isogeny class
deg	61440	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 7+ 11- 13-  6 -4	Hecke eigenvalues for primes less than 20
L	1.2820327316051	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	48048br 18018bb 42042t 66066cu	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for isogeny class 6006m

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	+	-	-	6	-4	4	-10	-8	6	-6	12	12	-2	0	6	-4	-8	10	16	0	-14	2

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Quadratic twists for isogeny class 6006m

-4	-3	-7	-11	13
48048br	18018bb	42042t	66066cu	78078de

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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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