Cremona's table of elliptic curves

99 = 3² · 11

Field	Data	Notes
Atkin-Lehner	3+ 11+	Signs for the Atkin-Lehner involutions
Conductor	99	Conductor
Count	2	Number of curves in isogeny class
Curves	99a1 99a2	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	-1 3+ -4 -2 11+ -2  2 -6	Hecke eigenvalues for primes less than 20
L	0.68055155913983	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1584k 6336j 99c 2475a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 99a

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
-1	+	-4	-2	+	-2	2	-6	4	-6	4	-6	-10	6	-8	0	4	-6	8	0	-2	-10	12	0	2

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Quadratic twists for isogeny class 99a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1584k	6336j	99c	2475a	4851d	1089c	16731d	28611e	35739e	52371b	83259d	95139b

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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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