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	3	Number of curves in isogeny class
Curves	99d1 99d2 99d3	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	2 3- -1 -2 11+  4  2  0	Hecke eigenvalues for primes less than 20
L	1.6844963329755	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1584p 6336y 11a 2475h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 99d

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	-	-1	-2	+	4	2	0	1	0	7	3	8	-6	-8	6	-5	12	-7	3	4	-10	6	-15	-7

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Quadratic twists for isogeny class 99d

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1584p	6336y	11a	2475h	4851l	1089j	16731m	28611w	35739r	52371f	83259m	95139k

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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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