Cremona's table of elliptic curves

9009 = 3² · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3+ 7- 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	9009	Conductor
Count	2	Number of curves in isogeny class
Curves	9009b1 9009b2	Curves in isogeny class
deg	2016	Modular degree for the optimal curve
Eigenvalues	0 3+  0 7- 11- 13-  0  2	Hecke eigenvalues for primes less than 20
L	1.7400411802656	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	9009a 63063i 99099c 117117a	Quadratic twists by: -3 -7 -11 13

Hecke Eigenvalues for isogeny class 9009b

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	+	0	-	-	-	0	2	6	-3	5	8	9	-4	6	6	-12	-13	2	-15	-4	-4	-9	0	17

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Quadratic twists for isogeny class 9009b

-3	-7	-11	13
9009a	63063i	99099c	117117a

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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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