Cremona's table of elliptic curves

9900 = 2² · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	9900b	Isogeny class
Conductor	9900	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-1844344339200 = -1 · 28 · 39 · 52 · 114	Discriminant
Eigenvalues	2- 3+ 5+ -3 11-  3 -8  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6480,211140]	[a1,a2,a3,a4,a6]
Generators	[-24:594:1]	Generators of the group modulo torsion
j	-238878720/14641	j-invariant
L	4.079312140286	L(r)(E,1)/r!
Ω	0.82227284781779	Real period
R	0.20670917157202	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39600bz1 9900a1 9900h1 108900j1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9900b1

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
-	+	+	-3	-	3	-8	5	0	8	3	-6	-4	-7	-4	4	-4	-5	13	-8	10	4	0	12	3

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Quadratic twists for elliptic curve 9900b1

-4	-3	5	-11
39600bz1	9900a1	9900h1	108900j1

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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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