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	9900i	Isogeny class
Conductor	9900	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	110261250000 = 24 · 36 · 57 · 112	Discriminant
Eigenvalues	2- 3- 5+  0 11+  0 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1200,-875]	[a1,a2,a3,a4,a6]
Generators	[-1:18:1]	Generators of the group modulo torsion
j	1048576/605	j-invariant
L	4.3339004299719	L(r)(E,1)/r!
Ω	0.88474936280548	Real period
R	2.4492249512502	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	39600dp1 1100c1 1980a1 108900bj1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9900i1

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	+	0	-4	-4	6	-2	0	6	10	-4	10	2	4	-14	-2	-4	4	-8	12	-6	-6

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Quadratic twists for elliptic curve 9900i1

-4	-3	5	-11
39600dp1	1100c1	1980a1	108900bj1

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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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