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
Δ	-2057739552000 = -1 · 28 · 312 · 53 · 112	Discriminant
Eigenvalues	2- 3- 5-  0 11- -4  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,2012,-58972]	[a1,a2,a3,a4,a6]
Generators	[32:198:1]	Generators of the group modulo torsion
j	28134667888/64304361	j-invariant
L	4.0107525768241	L(r)(E,1)/r!
Ω	0.42850943062553	Real period
R	0.2599937967247	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	13200bv2 52800bn2 9900w2 3300g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300q2

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 3300q2

-4	8	-3	5	-11
13200bv2	52800bn2	9900w2	3300g2	36300cc2

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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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