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	9900be	Isogeny class
Conductor	9900	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-311778720000 = -1 · 28 · 311 · 54 · 11	Discriminant
Eigenvalues	2- 3- 5-  3 11-  4  1 -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2775,62350]	[a1,a2,a3,a4,a6]
Generators	[95:810:1]	Generators of the group modulo torsion
j	-20261200/2673	j-invariant
L	5.1185927005855	L(r)(E,1)/r!
Ω	0.93783107659579	Real period
R	0.15160846566092	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	39600eq1 3300p1 9900s1 108900du1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9900be1

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	-	4	1	-7	-3	-10	0	1	-5	0	-5	-6	-3	6	-14	-15	-6	-13	-4	14	-13

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Quadratic twists for elliptic curve 9900be1

-4	-3	5	-11
39600eq1	3300p1	9900s1	108900du1

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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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