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	99c1 99c2	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	1 3+  4 -2 11- -2 -2 -6	Hecke eigenvalues for primes less than 20
L	1.3642922956913	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1584i 6336e 99a 2475d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 99c

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 99c

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

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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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