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	3300o	Isogeny class
Conductor	3300	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	12960	Modular degree for the optimal curve
Δ	-3593700000000 = -1 · 28 · 33 · 58 · 113	Discriminant
Eigenvalues	2- 3- 5- -1 11+ -4  3  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-137708,19623588]	[a1,a2,a3,a4,a6]
j	-2888047810000/35937	j-invariant
L	2.1538813808931	L(r)(E,1)/r!
Ω	0.71796046029769	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	13200ca1 52800bu1 9900bb1 3300a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300o1

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	+	-4	3	5	3	-6	8	-7	9	8	-3	6	3	14	2	-9	2	-1	12	18	11

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Quadratic twists for elliptic curve 3300o1

-4	8	-3	5	-11
13200ca1	52800bu1	9900bb1	3300a1	36300cf1

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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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