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	6600i	Isogeny class
Conductor	6600	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	38423840400000000 = 210 · 38 · 58 · 114	Discriminant
Eigenvalues	2+ 3- 5+  0 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-95008,6141488]	[a1,a2,a3,a4,a6]
j	5927735656804/2401490025	j-invariant
L	2.6443828364267	L(r)(E,1)/r!
Ω	0.33054785455334	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	13200h4 52800x3 19800bi4 1320h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6600i3

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

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Quadratic twists for elliptic curve 6600i3

-4	8	-3	5	-11
13200h4	52800x3	19800bi4	1320h3	72600dp3

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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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