class leader: y² + 1xy + 1y = x³ + 1x² + 1x + 1

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