Cremona's table of elliptic curves

1666 = 2 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
1666a (1 curve)	1	2+ 7+ 17+	2+ -1 -2 7+ -1  5 17+  6
Curve Equation t Generators 1666a1 [1,1,0,-221,-1679] 1 [20:39:1]
1666b (2 curves)	1	2+ 7+ 17+	2+ -2  3 7+  0  2 17+ -7
Curve Equation t Generators 1666b1 [1,0,1,-222,1418] 3 [-16:38:1] 1666b2 [1,0,1,1493,-5442] 1 [4:22:1]
1666c (1 curve)	1	2+ 7+ 17+	2+  3 -2 7+ -5 -3 17+ -2
Curve Equation t Generators 1666c1 [1,-1,0,-1528,83264] 1 [-1392:4792:27]
1666d (2 curves)	1	2+ 7- 17-	2+  0  2 7- -2  0 17-  2
Curve Equation t Generators 1666d1 [1,-1,0,89,-183] 2 [4:13:1] 1666d2 [1,-1,0,-401,-1261] 2 [-5:27:1]
1666e (1 curve)	1	2+ 7- 17-	2+  1  2 7- -1 -5 17- -6
Curve Equation t Generators 1666e1 [1,0,1,-5,4] 1 [1:0:1]
1666f (2 curves)	1	2+ 7- 17-	2+  2 -3 7-  0 -2 17-  7
Curve Equation t Generators 1666f1 [1,1,0,-4,-6] 1 [3:3:1] 1666f2 [1,1,0,31,29] 1 [7:22:1]
1666g (2 curves)	1	2+ 7- 17-	2+ -2 -4 7- -4  4 17-  6
Curve Equation t Generators 1666g1 [1,0,1,1542,4652] 2 [29:257:1] 1666g2 [1,0,1,-6298,36012] 2 [-24:428:1]
1666h (1 curve)	1	2+ 7- 17-	2+ -3  2 7- -5  3 17-  2
Curve Equation t Generators 1666h1 [1,-1,0,-74881,-28409795] 1 [137214:738305:343]
1666i (1 curve)	1	2- 7+ 17-	2-  0 -1 7+ -6  4 17-  1
Curve Equation t Generators 1666i1 [1,-1,1,407,-43095] 1 [135:-1636:1]
1666j (1 curve)	1	2- 7- 17+	2-  0  1 7- -6 -4 17+ -1
Curve Equation t Generators 1666j1 [1,-1,1,8,123] 1 [-3:9:1]
1666k (4 curves)	1	2- 7- 17+	2-  0 -2 7-  0  2 17+ -4
Curve Equation t Generators 1666k1 [1,-1,1,-916,-10265] 2 [-17:21:1] 1666k2 [1,-1,1,-1896,16391] 4 [81:583:1] 1666k3 [1,-1,1,-25906,1610655] 2 [702:331:8] 1666k4 [1,-1,1,6434,116351] 2 [12498:171743:216]
1666l (4 curves)	0	2- 7- 17-	2-  2  0 7-  6 -2 17-  4
Curve Equation t 1666l1 [1,1,1,-148,-491] 2 1666l2 [1,1,1,-2108,-38123] 2 1666l3 [1,1,1,-5048,135925] 2 1666l4 [1,1,1,-5538,107309] 2
1666m (2 curves)	0	2- 7- 17-	2-  2  4 7- -6  2 17-  0
Curve Equation t 1666m1 [1,1,1,-2941,-8429] 2 1666m2 [1,1,1,-34301,-2454509] 2
1666n (2 curves)	0	2- 7- 17-	2- -2  0 7- -2  2 17-  0
Curve Equation t 1666n1 [1,0,0,-883,9981] 2 1666n2 [1,0,0,-1373,-2465] 2

Data from Elliptic Curve Data by J. E. Cremona.
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