Cremona's table of elliptic curves

18666 = 2 · 3² · 17 · 61

Class	r	Atkin-Lehner	Eigenvalues
18666a (2 curves)	0	2+ 3+ 17+ 61-	2+ 3+  0 -1 -3 -4 17+  8
Curve Equation t 18666a1 [1,-1,0,138,-342] 3 18666a2 [1,-1,0,-2607,-51643] 1
18666b (1 curve)	1	2+ 3- 17+ 61-	2+ 3- -1 -3  1 -5 17+  4
Curve Equation t Generators 18666b1 [1,-1,0,-2393685,-5742391563] 1 [2874:103971:1]
18666c (1 curve)	1	2+ 3- 17+ 61-	2+ 3-  3 -5 -3  7 17+ -6
Curve Equation t Generators 18666c1 [1,-1,0,2952,3177792] 1 [432:9000:1]
18666d (1 curve)	2	2+ 3- 17- 61-	2+ 3- -1 -1  1 -5 17- -6
Curve Equation t Generators 18666d1 [1,-1,0,-60,404] 1 [-8:22:1]&[2:16:1]
18666e (2 curves)	0	2+ 3- 17- 61-	2+ 3- -2  2  4  2 17-  0
Curve Equation t 18666e1 [1,-1,0,207,-1431] 2 18666e2 [1,-1,0,-1323,-13365] 2
18666f (2 curves)	0	2- 3+ 17- 61-	2- 3+  0 -1  3 -4 17-  8
Curve Equation t 18666f1 [1,-1,1,-290,2009] 3 18666f2 [1,-1,1,1240,7993] 1
18666g (2 curves)	0	2- 3- 17+ 61-	2- 3-  2  2  2  2 17+  0
Curve Equation t 18666g1 [1,-1,1,-11849,499385] 2 18666g2 [1,-1,1,-11669,515153] 2
18666h (1 curve)	0	2- 3- 17+ 61-	2- 3-  3 -3  3 -5 17+ -6
Curve Equation t 18666h1 [1,-1,1,-35726,-2592547] 1
18666i (1 curve)	0	2- 3- 17- 61+	2- 3-  2 -5 -3  6 17-  6
Curve Equation t 18666i1 [1,-1,1,-1022909,398457731] 1
18666j (1 curve)	1	2- 3- 17- 61-	2- 3- -2  1 -5  2 17- -2
Curve Equation t Generators 18666j1 [1,-1,1,49,375] 1 [-1:18:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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