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	9900f	Isogeny class
Conductor	9900	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1190821500000000 = 28 · 39 · 59 · 112	Discriminant
Eigenvalues	2- 3+ 5-  0 11-  2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30375,-1181250]	[a1,a2,a3,a4,a6]
j	314928/121	j-invariant
L	2.2414702170934	L(r)(E,1)/r!
Ω	0.37357836951557	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	39600cj2 9900c2 9900g2 108900t2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9900f2

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

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Quadratic twists for elliptic curve 9900f2

-4	-3	5	-11
39600cj2	9900c2	9900g2	108900t2

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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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