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	6600a1 6600a2 6600a3 6600a4 6600a5 6600a6	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0 11+  2 -2  4	Hecke eigenvalues for primes less than 20
L	3.4490294953967	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13200u 52800cq 19800bh 1320m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 6600a

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

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Quadratic twists for isogeny class 6600a

-4	8	-3	5	-11
13200u	52800cq	19800bh	1320m	72600ck

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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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