Cremona's table of elliptic curves

3366 = 2 · 3² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 17-	Signs for the Atkin-Lehner involutions
Conductor	3366	Conductor
Count	2	Number of curves in isogeny class
Curves	3366f1 3366f2	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  0 11+ -4 17- -4	Hecke eigenvalues for primes less than 20
L	2.8524932899909	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	26928bu 107712cl 1122f 84150es	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3366f

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

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Quadratic twists for isogeny class 3366f

-4	8	-3	5	-11	17
26928bu	107712cl	1122f	84150es	37026bc	57222v

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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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