Cremona's table of elliptic curves

6600 = 2³ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	6600bb	Isogeny class
Conductor	6600	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	132000000 = 28 · 3 · 56 · 11	Discriminant
Eigenvalues	2- 3- 5+  0 11- -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-308,-2112]	[a1,a2,a3,a4,a6]
j	810448/33	j-invariant
L	2.2843566554848	L(r)(E,1)/r!
Ω	1.1421783277424	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13200a1 52800c1 19800c1 264b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6600bb1

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	-	-2	-6	0	-4	2	0	10	6	8	4	6	-12	2	-4	12	14	16	12	10	14

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Quadratic twists for elliptic curve 6600bb1

-4	8	-3	5	-11
13200a1	52800c1	19800c1	264b1	72600bi1

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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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