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
Conductor	6600	Conductor
Count	6	Number of curves in isogeny class
Curves	6600i1 6600i2 6600i3 6600i4 6600i5 6600i6	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0 11+  2  6 -4	Hecke eigenvalues for primes less than 20
L	2.6443828364267	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	13200h 52800x 19800bi 1320h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6600i

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 isogeny class 6600i

-4	8	-3	5	-11
13200h	52800x	19800bi	1320h	72600dp

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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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