Cremona's table of elliptic curves

3300 = 2² · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	3300j	Isogeny class
Conductor	3300	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	1008	Modular degree for the optimal curve
Δ	-1693612800 = -1 · 28 · 37 · 52 · 112	Discriminant
Eigenvalues	2- 3- 5+ -1 11+  1 -2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,267,1143]	[a1,a2,a3,a4,a6]
Generators	[9:66:1]	Generators of the group modulo torsion
j	327680000/264627	j-invariant
L	3.9409768910031	L(r)(E,1)/r!
Ω	0.96387958694391	Real period
R	0.097349071803283	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13200bp1 52800z1 9900o1 3300f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300j1

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
-	-	+	-1	+	1	-2	-5	-2	-6	3	-2	-6	3	-8	6	8	-11	-3	-4	2	4	2	-2	-9

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Quadratic twists for elliptic curve 3300j1

-4	8	-3	5	-11
13200bp1	52800z1	9900o1	3300f1	36300bk1

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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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