class leader: y2 + 1xy + 1y = x3 + 1x2 + 1
Sr no. class members # points points
1 y2 + 1xy + 1y = x3 + 1x2 + 1 9 (0,2) (1,1) (1,2) (2,3) (2,4) (3,2) (3,4) (4,1) (4,4)
2 y2 + 1xy + 3y = x3 + 1x2 + 4x + 4 9 (0,1) (1,0) (1,1) (2,2) (2,3) (3,1) (3,3) (4,0) (4,3)
3 y2 + 1xy = x3 + 1x2 + 3x 9 (0,0) (1,0) (1,4) (2,1) (2,2) (3,0) (3,2) (4,2) (4,4)
4 y2 + 1xy + 2y = x3 + 1x2 + 2x + 4 9 (0,4) (1,3) (1,4) (2,0) (2,1) (3,1) (3,4) (4,1) (4,3)
5 y2 + 1xy + 4y = x3 + 1x2 + 1x + 1 9 (0,3) (1,2) (1,3) (2,0) (2,4) (3,0) (3,3) (4,0) (4,2)
6 y2 + 1xy + 2y = x3 + 4x2 + 3 9 (0,1) (0,2) (1,3) (1,4) (2,2) (2,4) (3,1) (3,4) (4,2)
7 y2 + 1xy + 4y = x3 + 4x2 + 4x 9 (0,0) (0,1) (1,2) (1,3) (2,1) (2,3) (3,0) (3,3) (4,1)
8 y2 + 1xy + 1y = x3 + 4x2 + 3x 9 (0,0) (0,4) (1,1) (1,2) (2,0) (2,2) (3,2) (3,4) (4,0)
9 y2 + 1xy + 3y = x3 + 4x2 + 2x + 3 9 (0,3) (0,4) (1,0) (1,1) (2,1) (2,4) (3,1) (3,3) (4,4)
10 y2 + 1xy = x3 + 4x2 + 1x + 4 9 (0,2) (0,3) (1,0) (1,4) (2,0) (2,3) (3,0) (3,2) (4,3)
11 y2 + 1xy + 3y = x3 + 2x2 + 1x + 3 9 (0,3) (0,4) (1,2) (1,4) (2,1) (2,4) (3,2) (4,1) (4,2)
12 y2 + 1xy = x3 + 2x2 + 4 9 (0,2) (0,3) (1,1) (1,3) (2,0) (2,3) (3,1) (4,0) (4,1)
13 y2 + 1xy + 2y = x3 + 2x2 + 4x + 3 9 (0,1) (0,2) (1,0) (1,2) (2,2) (2,4) (3,0) (4,0) (4,4)
14 y2 + 1xy + 4y = x3 + 2x2 + 3x 9 (0,0) (0,1) (1,1) (1,4) (2,1) (2,3) (3,4) (4,3) (4,4)
15 y2 + 1xy + 1y = x3 + 2x2 + 2x 9 (0,0) (0,4) (1,0) (1,3) (2,0) (2,2) (3,3) (4,2) (4,3)
16 y2 + 1xy + 4y = x3 + 3x + 2 9 (0,2) (0,4) (1,1) (1,4) (2,2) (3,1) (3,2) (4,3) (4,4)
17 y2 + 1xy + 1y = x3 + 2x + 2 9 (0,1) (0,3) (1,0) (1,3) (2,1) (3,0) (3,1) (4,2) (4,3)
18 y2 + 1xy + 3y = x3 + 1x 9 (0,0) (0,2) (1,2) (1,4) (2,0) (3,0) (3,4) (4,1) (4,2)
19 y2 + 1xy = x3 + 1 9 (0,1) (0,4) (1,1) (1,3) (2,4) (3,3) (3,4) (4,0) (4,1)
20 y2 + 1xy + 2y = x3 + 4x 9 (0,0) (0,3) (1,0) (1,2) (2,3) (3,2) (3,3) (4,0) (4,4)
21 y2 + 1xy = x3 + 3x2 + 1x + 1 9 (0,1) (0,4) (1,2) (2,1) (2,2) (3,3) (3,4) (4,2) (4,4)
22 y2 + 1xy + 2y = x3 + 3x2 9 (0,0) (0,3) (1,1) (2,0) (2,1) (3,2) (3,3) (4,1) (4,3)
23 y2 + 1xy + 4y = x3 + 3x2 + 4x + 2 9 (0,2) (0,4) (1,0) (2,0) (2,4) (3,1) (3,2) (4,0) (4,2)
24 y2 + 1xy + 1y = x3 + 3x2 + 3x + 2 9 (0,1) (0,3) (1,4) (2,3) (2,4) (3,0) (3,1) (4,1) (4,4)
25 y2 + 1xy + 3y = x3 + 3x2 + 2x 9 (0,0) (0,2) (1,3) (2,2) (2,3) (3,0) (3,4) (4,0) (4,3)
26 y2 + 3xy + 1y = x3 + 4x2 + 4x + 1 9 (0,2) (1,0) (1,1) (2,1) (2,2) (3,1) (3,4) (4,0) (4,2)
27 y2 + 3xy + 3y = x3 + 4x2 + 1x + 4 9 (0,1) (1,0) (1,4) (2,0) (2,1) (3,0) (3,3) (4,1) (4,4)
28 y2 + 3xy = x3 + 4x2 + 3x 9 (0,0) (1,3) (1,4) (2,0) (2,4) (3,2) (3,4) (4,0) (4,3)
29 y2 + 3xy + 2y = x3 + 4x2 + 4 9 (0,4) (1,2) (1,3) (2,3) (2,4) (3,1) (3,3) (4,2) (4,4)
30 y2 + 3xy + 4y = x3 + 4x2 + 2x + 1 9 (0,3) (1,1) (1,2) (2,2) (2,3) (3,0) (3,2) (4,1) (4,3)
31 y2 + 3xy + 2y = x3 + 2x2 + 3x + 3 9 (0,1) (0,2) (1,2) (1,3) (2,0) (2,2) (3,1) (3,3) (4,3)
32 y2 + 3xy + 4y = x3 + 2x2 9 (0,0) (0,1) (1,1) (1,2) (2,1) (2,4) (3,0) (3,2) (4,2)
33 y2 + 3xy + 1y = x3 + 2x2 + 2x 9 (0,0) (0,4) (1,0) (1,1) (2,0) (2,3) (3,1) (3,4) (4,1)
34 y2 + 3xy + 3y = x3 + 2x2 + 4x + 3 9 (0,3) (0,4) (1,0) (1,4) (2,2) (2,4) (3,0) (3,3) (4,0)
35 y2 + 3xy = x3 + 2x2 + 1x + 4 9 (0,2) (0,3) (1,3) (1,4) (2,1) (2,3) (3,2) (3,4) (4,4)
36 y2 + 3xy + 3y = x3 + 3x + 3 9 (0,3) (0,4) (1,1) (1,3) (2,2) (2,4) (3,4) (4,2) (4,3)
37 y2 + 3xy = x3 + 4 9 (0,2) (0,3) (1,0) (1,2) (2,1) (2,3) (3,3) (4,1) (4,2)
38 y2 + 3xy + 2y = x3 + 2x + 3 9 (0,1) (0,2) (1,1) (1,4) (2,0) (2,2) (3,2) (4,0) (4,1)
39 y2 + 3xy + 4y = x3 + 4x 9 (0,0) (0,1) (1,0) (1,3) (2,1) (2,4) (3,1) (4,0) (4,4)
40 y2 + 3xy + 1y = x3 + 1x 9 (0,0) (0,4) (1,2) (1,4) (2,0) (2,3) (3,0) (4,3) (4,4)
41 y2 + 3xy + 4y = x3 + 3x2 + 4x + 2 9 (0,2) (0,4) (1,0) (1,3) (2,0) (3,3) (3,4) (4,0) (4,4)
42 y2 + 3xy + 1y = x3 + 3x2 + 1x + 2 9 (0,1) (0,3) (1,2) (1,4) (2,4) (3,2) (3,3) (4,3) (4,4)
43 y2 + 3xy + 3y = x3 + 3x2 + 3x 9 (0,0) (0,2) (1,1) (1,3) (2,3) (3,1) (3,2) (4,2) (4,3)
44 y2 + 3xy = x3 + 3x2 + 1 9 (0,1) (0,4) (1,0) (1,2) (2,2) (3,0) (3,1) (4,1) (4,2)
45 y2 + 3xy + 2y = x3 + 3x2 + 2x 9 (0,0) (0,3) (1,1) (1,4) (2,1) (3,0) (3,4) (4,0) (4,1)
46 y2 + 3xy = x3 + 1x2 + 1x + 1 9 (0,1) (0,4) (1,1) (2,0) (2,4) (3,0) (3,1) (4,0) (4,3)
47 y2 + 3xy + 2y = x3 + 1x2 + 3x 9 (0,0) (0,3) (1,0) (2,3) (2,4) (3,0) (3,4) (4,2) (4,4)
48 y2 + 3xy + 4y = x3 + 1x2 + 2 9 (0,2) (0,4) (1,4) (2,2) (2,3) (3,3) (3,4) (4,1) (4,3)
49 y2 + 3xy + 1y = x3 + 1x2 + 2x + 2 9 (0,1) (0,3) (1,3) (2,1) (2,2) (3,2) (3,3) (4,0) (4,2)
50 y2 + 3xy + 3y = x3 + 1x2 + 4x 9 (0,0) (0,2) (1,2) (2,0) (2,1) (3,1) (3,2) (4,1) (4,4)
51 y2 + 1y = x3 + 3x + 1 9 (0,2) (1,0) (1,4) (2,0) (2,4) (3,1) (3,3) (4,1) (4,3)
52 y2 + 3y = x3 + 3x + 4 9 (0,1) (1,3) (1,4) (2,3) (2,4) (3,0) (3,2) (4,0) (4,2)
53 y2 = x3 + 3x 9 (0,0) (1,2) (1,3) (2,2) (2,3) (3,1) (3,4) (4,1) (4,4)
54 y2 + 2y = x3 + 3x + 4 9 (0,4) (1,1) (1,2) (2,1) (2,2) (3,0) (3,3) (4,0) (4,3)
55 y2 + 4y = x3 + 3x + 1 9 (0,3) (1,0) (1,1) (2,0) (2,1) (3,2) (3,4) (4,2) (4,4)
56 y2 + 2y = x3 + 3x2 + 1x + 3 9 (0,1) (0,2) (1,1) (1,2) (2,0) (2,3) (3,0) (3,3) (4,4)
57 y2 + 4y = x3 + 3x2 + 1x 9 (0,0) (0,1) (1,0) (1,1) (2,2) (2,4) (3,2) (3,4) (4,3)
58 y2 + 1y = x3 + 3x2 + 1x 9 (0,0) (0,4) (1,0) (1,4) (2,1) (2,3) (3,1) (3,3) (4,2)
59 y2 + 3y = x3 + 3x2 + 1x + 3 9 (0,3) (0,4) (1,3) (1,4) (2,0) (2,2) (3,0) (3,2) (4,1)
60 y2 = x3 + 3x2 + 1x + 4 9 (0,2) (0,3) (1,2) (1,3) (2,1) (2,4) (3,1) (3,4) (4,0)
61 y2 + 3y = x3 + 1x2 + 3 9 (0,3) (0,4) (1,0) (1,2) (2,0) (2,2) (3,1) (4,3) (4,4)
62 y2 = x3 + 1x2 + 4 9 (0,2) (0,3) (1,1) (1,4) (2,1) (2,4) (3,0) (4,2) (4,3)
63 y2 + 2y = x3 + 1x2 + 3 9 (0,1) (0,2) (1,0) (1,3) (2,0) (2,3) (3,4) (4,1) (4,2)
64 y2 + 4y = x3 + 1x2 9 (0,0) (0,1) (1,2) (1,4) (2,2) (2,4) (3,3) (4,0) (4,1)
65 y2 + 1y = x3 + 1x2 9 (0,0) (0,4) (1,1) (1,3) (2,1) (2,3) (3,2) (4,0) (4,4)
66 y2 + 4y = x3 + 4x2 + 2 9 (0,2) (0,4) (1,2) (1,4) (2,3) (3,0) (3,1) (4,0) (4,1)
67 y2 + 1y = x3 + 4x2 + 2 9 (0,1) (0,3) (1,1) (1,3) (2,2) (3,0) (3,4) (4,0) (4,4)
68 y2 + 3y = x3 + 4x2 9 (0,0) (0,2) (1,0) (1,2) (2,1) (3,3) (3,4) (4,3) (4,4)
69 y2 = x3 + 4x2 + 1 9 (0,1) (0,4) (1,1) (1,4) (2,0) (3,2) (3,3) (4,2) (4,3)
70 y2 + 2y = x3 + 4x2 9 (0,0) (0,3) (1,0) (1,3) (2,4) (3,1) (3,2) (4,1) (4,2)
71 y2 = x3 + 2x2 + 1x + 1 9 (0,1) (0,4) (1,0) (2,2) (2,3) (3,2) (3,3) (4,1) (4,4)
72 y2 + 2y = x3 + 2x2 + 1x 9 (0,0) (0,3) (1,4) (2,1) (2,2) (3,1) (3,2) (4,0) (4,3)
73 y2 + 4y = x3 + 2x2 + 1x + 2 9 (0,2) (0,4) (1,3) (2,0) (2,1) (3,0) (3,1) (4,2) (4,4)
74 y2 + 1y = x3 + 2x2 + 1x + 2 9 (0,1) (0,3) (1,2) (2,0) (2,4) (3,0) (3,4) (4,1) (4,3)
75 y2 + 3y = x3 + 2x2 + 1x 9 (0,0) (0,2) (1,1) (2,3) (2,4) (3,3) (3,4) (4,0) (4,2)
76 y2 + 2xy + 1y = x3 + 4x2 + 2x + 1 9 (0,2) (1,3) (1,4) (2,2) (2,3) (3,0) (3,3) (4,2) (4,4)
77 y2 + 2xy + 3y = x3 + 4x2 + 4 9 (0,1) (1,2) (1,3) (2,1) (2,2) (3,2) (3,4) (4,1) (4,3)
78 y2 + 2xy = x3 + 4x2 + 3x 9 (0,0) (1,1) (1,2) (2,0) (2,1) (3,1) (3,3) (4,0) (4,2)
79 y2 + 2xy + 2y = x3 + 4x2 + 1x + 4 9 (0,4) (1,0) (1,1) (2,0) (2,4) (3,0) (3,2) (4,1) (4,4)
80 y2 + 2xy + 4y = x3 + 4x2 + 4x + 1 9 (0,3) (1,0) (1,4) (2,3) (2,4) (3,1) (3,4) (4,0) (4,3)
81 y2 + 2xy + 2y = x3 + 2x2 + 4x + 3 9 (0,1) (0,2) (1,0) (1,1) (2,1) (2,3) (3,0) (3,2) (4,0)
82 y2 + 2xy + 4y = x3 + 2x2 + 2x 9 (0,0) (0,1) (1,0) (1,4) (2,0) (2,2) (3,1) (3,4) (4,4)
83 y2 + 2xy + 1y = x3 + 2x2 9 (0,0) (0,4) (1,3) (1,4) (2,1) (2,4) (3,0) (3,3) (4,3)
84 y2 + 2xy + 3y = x3 + 2x2 + 3x + 3 9 (0,3) (0,4) (1,2) (1,3) (2,0) (2,3) (3,2) (3,4) (4,2)
85 y2 + 2xy = x3 + 2x2 + 1x + 4 9 (0,2) (0,3) (1,1) (1,2) (2,2) (2,4) (3,1) (3,3) (4,1)
86 y2 + 2xy + 3y = x3 + 2x + 3 9 (0,3) (0,4) (1,1) (1,4) (2,0) (2,3) (3,3) (4,0) (4,4)
87 y2 + 2xy = x3 + 4 9 (0,2) (0,3) (1,0) (1,3) (2,2) (2,4) (3,2) (4,3) (4,4)
88 y2 + 2xy + 2y = x3 + 3x + 3 9 (0,1) (0,2) (1,2) (1,4) (2,1) (2,3) (3,1) (4,2) (4,3)
89 y2 + 2xy + 4y = x3 + 1x 9 (0,0) (0,1) (1,1) (1,3) (2,0) (2,2) (3,0) (4,1) (4,2)
90 y2 + 2xy + 1y = x3 + 4x 9 (0,0) (0,4) (1,0) (1,2) (2,1) (2,4) (3,4) (4,0) (4,1)
91 y2 + 2xy + 4y = x3 + 3x2 + 1x + 2 9 (0,2) (0,4) (1,1) (1,3) (2,1) (3,2) (3,3) (4,1) (4,2)
92 y2 + 2xy + 1y = x3 + 3x2 + 4x + 2 9 (0,1) (0,3) (1,0) (1,2) (2,0) (3,1) (3,2) (4,0) (4,1)
93 y2 + 2xy + 3y = x3 + 3x2 + 2x 9 (0,0) (0,2) (1,1) (1,4) (2,4) (3,0) (3,1) (4,0) (4,4)
94 y2 + 2xy = x3 + 3x2 + 1 9 (0,1) (0,4) (1,0) (1,3) (2,3) (3,0) (3,4) (4,3) (4,4)
95 y2 + 2xy + 2y = x3 + 3x2 + 3x 9 (0,0) (0,3) (1,2) (1,4) (2,2) (3,3) (3,4) (4,2) (4,3)
96 y2 + 2xy = x3 + 1x2 + 1x + 1 9 (0,1) (0,4) (1,4) (2,0) (2,1) (3,0) (3,4) (4,0) (4,2)
97 y2 + 2xy + 2y = x3 + 1x2 + 4x 9 (0,0) (0,3) (1,3) (2,0) (2,4) (3,3) (3,4) (4,1) (4,4)
98 y2 + 2xy + 4y = x3 + 1x2 + 2x + 2 9 (0,2) (0,4) (1,2) (2,3) (2,4) (3,2) (3,3) (4,0) (4,3)
99 y2 + 2xy + 1y = x3 + 1x2 + 2 9 (0,1) (0,3) (1,1) (2,2) (2,3) (3,1) (3,2) (4,2) (4,4)
100 y2 + 2xy + 3y = x3 + 1x2 + 3x 9 (0,0) (0,2) (1,0) (2,1) (2,2) (3,0) (3,1) (4,1) (4,3)
101 y2 + 4xy + 1y = x3 + 1x2 + 1x + 1 9 (0,2) (1,2) (1,3) (2,0) (2,1) (3,0) (3,2) (4,0) (4,3)
102 y2 + 4xy + 3y = x3 + 1x2 + 2x + 4 9 (0,1) (1,1) (1,2) (2,0) (2,4) (3,1) (3,4) (4,2) (4,4)
103 y2 + 4xy = x3 + 1x2 + 3x 9 (0,0) (1,0) (1,1) (2,3) (2,4) (3,0) (3,3) (4,1) (4,3)
104 y2 + 4xy + 2y = x3 + 1x2 + 4x + 4 9 (0,4) (1,0) (1,4) (2,2) (2,3) (3,2) (3,4) (4,0) (4,2)
105 y2 + 4xy + 4y = x3 + 1x2 + 1 9 (0,3) (1,3) (1,4) (2,1) (2,2) (3,1) (3,3) (4,1) (4,4)
106 y2 + 4xy + 2y = x3 + 4x2 + 2x + 3 9 (0,1) (0,2) (1,0) (1,4) (2,1) (2,4) (3,2) (3,4) (4,1)
107 y2 + 4xy + 4y = x3 + 4x2 + 3x 9 (0,0) (0,1) (1,3) (1,4) (2,0) (2,3) (3,1) (3,3) (4,0)
108 y2 + 4xy + 1y = x3 + 4x2 + 4x 9 (0,0) (0,4) (1,2) (1,3) (2,2) (2,4) (3,0) (3,2) (4,4)
109 y2 + 4xy + 3y = x3 + 4x2 + 3 9 (0,3) (0,4) (1,1) (1,2) (2,1) (2,3) (3,1) (3,4) (4,3)
110 y2 + 4xy = x3 + 4x2 + 1x + 4 9 (0,2) (0,3) (1,0) (1,1) (2,0) (2,2) (3,0) (3,3) (4,2)
111 y2 + 4xy + 3y = x3 + 2x2 + 4x + 3 9 (0,3) (0,4) (1,0) (1,3) (2,1) (2,3) (3,0) (4,0) (4,1)
112 y2 + 4xy = x3 + 2x2 + 4 9 (0,2) (0,3) (1,2) (1,4) (2,0) (2,2) (3,4) (4,0) (4,4)
113 y2 + 4xy + 2y = x3 + 2x2 + 1x + 3 9 (0,1) (0,2) (1,1) (1,3) (2,1) (2,4) (3,3) (4,3) (4,4)
114 y2 + 4xy + 4y = x3 + 2x2 + 2x 9 (0,0) (0,1) (1,0) (1,2) (2,0) (2,3) (3,2) (4,2) (4,3)
115 y2 + 4xy + 1y = x3 + 2x2 + 3x 9 (0,0) (0,4) (1,1) (1,4) (2,2) (2,4) (3,1) (4,1) (4,2)
116 y2 + 4xy + 4y = x3 + 2x + 2 9 (0,2) (0,4) (1,0) (1,2) (2,4) (3,0) (3,4) (4,2) (4,3)
117 y2 + 4xy + 1y = x3 + 3x + 2 9 (0,1) (0,3) (1,1) (1,4) (2,3) (3,3) (3,4) (4,1) (4,2)
118 y2 + 4xy + 3y = x3 + 4x 9 (0,0) (0,2) (1,0) (1,3) (2,2) (3,2) (3,3) (4,0) (4,1)
119 y2 + 4xy = x3 + 1 9 (0,1) (0,4) (1,2) (1,4) (2,1) (3,1) (3,2) (4,0) (4,4)
120 y2 + 4xy + 2y = x3 + 1x 9 (0,0) (0,3) (1,1) (1,3) (2,0) (3,0) (3,1) (4,3) (4,4)
121 y2 + 4xy = x3 + 3x2 + 1x + 1 9 (0,1) (0,4) (1,3) (2,3) (2,4) (3,1) (3,2) (4,1) (4,3)
122 y2 + 4xy + 2y = x3 + 3x2 + 2x 9 (0,0) (0,3) (1,2) (2,2) (2,3) (3,0) (3,1) (4,0) (4,2)
123 y2 + 4xy + 4y = x3 + 3x2 + 3x + 2 9 (0,2) (0,4) (1,1) (2,1) (2,2) (3,0) (3,4) (4,1) (4,4)
124 y2 + 4xy + 1y = x3 + 3x2 + 4x + 2 9 (0,1) (0,3) (1,0) (2,0) (2,1) (3,3) (3,4) (4,0) (4,3)
125 y2 + 4xy + 3y = x3 + 3x2 9 (0,0) (0,2) (1,4) (2,0) (2,4) (3,2) (3,3) (4,2) (4,4)