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
Class	3300q	Isogeny class
Conductor	3300	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	21346578000 = 24 · 36 · 53 · 114	Discriminant
Eigenvalues	2- 3- 5-  0 11- -4  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1013,-10572]	[a1,a2,a3,a4,a6]
Generators	[-23:33:1]	Generators of the group modulo torsion
j	57537462272/10673289	j-invariant
L	4.0107525768241	L(r)(E,1)/r!
Ω	0.85701886125106	Real period
R	0.12999689836235	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13200bv1 52800bn1 9900w1 3300g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300q1

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	-	-4	0	-8	-4	2	4	-8	-2	0	4	-12	-12	2	-12	0	12	12	8	6	0

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Quadratic twists for elliptic curve 3300q1

-4	8	-3	5	-11
13200bv1	52800bn1	9900w1	3300g1	36300cc1

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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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