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	3300c	Isogeny class
Conductor	3300	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	2657341500000000 = 28 · 3 · 59 · 116	Discriminant
Eigenvalues	2- 3+ 5+  4 11+  4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-38908,-1591688]	[a1,a2,a3,a4,a6]
j	1628514404944/664335375	j-invariant
L	2.1136694557088	L(r)(E,1)/r!
Ω	0.35227824261814	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13200cm4 52800dg4 9900u4 660c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300c4

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 elliptic curve 3300c4

-4	8	-3	5	-11
13200cm4	52800dg4	9900u4	660c4	36300r4

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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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