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	9900t	Isogeny class
Conductor	9900	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1614334961250000 = 24 · 36 · 57 · 116	Discriminant
Eigenvalues	2- 3- 5+  4 11-  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-100200,12054125]	[a1,a2,a3,a4,a6]
j	610462990336/8857805	j-invariant
L	2.8544477824866	L(r)(E,1)/r!
Ω	0.47574129708111	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	39600dl3 1100b3 1980b3 108900ct3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9900t3

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	0	-4	-6	6	8	-2	-6	-8	6	-6	12	2	10	12	16	8	0	-6	-14

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Quadratic twists for elliptic curve 9900t3

-4	-3	5	-11
39600dl3	1100b3	1980b3	108900ct3

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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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