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
Conductor	3300	Conductor
Count	4	Number of curves in isogeny class
Curves	3300c1 3300c2 3300c3 3300c4	Curves in isogeny class
deg	3456	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  4 11+  4  6  2	Hecke eigenvalues for primes less than 20
L	2.1136694557088	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	13200cm 52800dg 9900u 660c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3300c

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

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Quadratic twists for isogeny class 3300c

-4	8	-3	5	-11
13200cm	52800dg	9900u	660c	36300r

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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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