Cremona's table of elliptic curves

99 = 3² · 11

Class	r	Atkin-Lehner	Eigenvalues
99a (2 curves)	1	3+ 11+	-1 3+ -4 -2 11+ -2  2 -6
Curve Equation t Generators 99a1 [1,-1,1,-2,0] 2 [0:0:1] 99a2 [1,-1,1,-17,30] 2 [0:5:1]
99c (2 curves)	0	3+ 11-	1 3+  4 -2 11- -2 -2 -6
Curve Equation t 99c1 [1,-1,0,-15,8] 2 99c2 [1,-1,0,-150,-667] 2
99b (4 curves)	0	3- 11+	-1 3-  2  4 11+ -2  2  0
Curve Equation t 99b1 [1,-1,1,-59,186] 4 99b2 [1,-1,1,-104,-102] 4 99b3 [1,-1,1,-1319,-18084] 2 99b4 [1,-1,1,391,-1092] 2
99d (3 curves)	0	3- 11+	2 3- -1 -2 11+  4  2  0
Curve Equation t 99d1 [0,0,1,-3,-5] 1 99d2 [0,0,1,-93,625] 1 99d3 [0,0,1,-70383,7187035] 1

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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