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	4	Number of curves in isogeny class
Curves	3366j1 3366j2 3366j3 3366j4	Curves in isogeny class
deg	21504	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  4 11- -2 17+ -4	Hecke eigenvalues for primes less than 20
L	2.5676609135472	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	26928be 107712y 1122k 84150gd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3366j

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

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Quadratic twists for isogeny class 3366j

-4	8	-3	5	-11	17
26928be	107712y	1122k	84150gd	37026bm	57222i

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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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