Cremona's table of elliptic curves

9999 = 3² · 11 · 101

Class	r	Atkin-Lehner	Eigenvalues
9999a (2 curves)	1	3+ 11+ 101+	-1 3+  0  2 11+ -2 -6 -4
Curve Equation t Generators 9999a1 [1,-1,1,-9965,385220] 2 [-44:880:1] 9999a2 [1,-1,1,-8450,505208] 2 [-41:904:1]
9999b (1 curve)	1	3+ 11+ 101+	2 3+  0 -1 11+  4 -3  8
Curve Equation t Generators 9999b1 [0,0,1,-15,-21] 1 [-14:-1:8]
9999c (2 curves)	1	3+ 11- 101-	1 3+  0  2 11- -2  6 -4
Curve Equation t Generators 9999c1 [1,-1,0,-89682,-10311265] 2 [5122:363343:1] 9999c2 [1,-1,0,-76047,-13564576] 2 [1628560:17008987:4096]
9999d (1 curve)	1	3+ 11- 101-	-2 3+  0 -1 11-  4  3  8
Curve Equation t Generators 9999d1 [0,0,1,-135,560] 1 [3:13:1]
9999e (1 curve)	0	3- 11+ 101+	0 3-  3  0 11+  4  0  2
Curve Equation t 9999e1 [0,0,1,-78336,-8458837] 1
9999f (1 curve)	2	3- 11+ 101+	0 3- -3  0 11+ -5  3 -7
Curve Equation t Generators 9999f1 [0,0,1,-234,1370] 1 [-12:49:1]&[6:13:1]
9999g (2 curves)	0	3- 11+ 101+	-1 3- -2  4 11+ -2  2 -2
Curve Equation t 9999g1 [1,-1,1,-60341,5719700] 2 9999g2 [1,-1,1,-55796,6614156] 2
9999h (2 curves)	0	3- 11+ 101+	2 3- -1 -2 11+ -1 -3  5
Curve Equation t 9999h1 [0,0,1,-983613,119426715] 1 9999h2 [0,0,1,-489307503,4166015931765] 1
9999i (1 curve)	1	3- 11+ 101-	0 3- -4  3 11+  0 -3  0
Curve Equation t Generators 9999i1 [0,0,1,-192,1021] 1 [7:4:1]
9999j (1 curve)	1	3- 11- 101+	0 3-  1  4 11- -1  3 -3
Curve Equation t Generators 9999j1 [0,0,1,-24996882,48098617704] 1 [1634:107779:1]
9999k (1 curve)	1	3- 11- 101+	0 3-  1 -4 11- -1  3 -3
Curve Equation t Generators 9999k1 [0,0,1,-1992,-34196] 1 [-26:4:1]
9999l (1 curve)	1	3- 11- 101+	0 3- -2 -5 11-  2 -3  0
Curve Equation t Generators 9999l1 [0,0,1,-966,7155] 1 [5:49:1]
9999m (1 curve)	1	3- 11- 101+	2 3-  3 -2 11- -5 -3  1
Curve Equation t Generators 9999m1 [0,0,1,-471,-3911] 1 [-94:5:8]

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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