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	9900bc	Isogeny class
Conductor	9900	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	2756531250000 = 24 · 36 · 59 · 112	Discriminant
Eigenvalues	2- 3- 5-  2 11- -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4500,-84375]	[a1,a2,a3,a4,a6]
Generators	[-50:125:1]	Generators of the group modulo torsion
j	442368/121	j-invariant
L	4.6176978553631	L(r)(E,1)/r!
Ω	0.59488312254575	Real period
R	1.293726918884	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	39600ep1 1100d1 9900bd1 108900ds1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9900bc1

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

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Quadratic twists for elliptic curve 9900bc1

-4	-3	5	-11
39600ep1	1100d1	9900bd1	108900ds1

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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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