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	4	Number of curves in isogeny class
Curves	99b1 99b2 99b3 99b4	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	-1 3-  2  4 11+ -2  2  0	Hecke eigenvalues for primes less than 20
L	0.79230740387988	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1584q 6336bd 33a 2475g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 99b

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

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Quadratic twists for isogeny class 99b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1584q	6336bd	33a	2475g	4851j	1089g	16731k	28611u	35739q	52371e	83259l	95139j

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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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