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	6006w1 6006w2 6006w3 6006w4	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 7- 11+ 13-  6 -4	Hecke eigenvalues for primes less than 20
L	2.130992725136	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	48048cn 18018r 42042da 66066h	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for isogeny class 6006w

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

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Quadratic twists for isogeny class 6006w

-4	-3	-7	-11	13
48048cn	18018r	42042da	66066h	78078g

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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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