class leader: y² + 1xy + 1y = x³ + 2x² + 3x + 5

Sr no.	class members	# points	points
1	y2 + 1xy + 1y = x3 + 2x2 + 3x + 5	3	(1,5) (3,1) (5,3)
2	y2 + 1xy + 3y = x3 + 2x2 + 2x + 3	3	(1,4) (3,0) (5,2)
3	y2 + 1xy + 5y = x3 + 2x2 + 1x + 5	3	(1,3) (3,5) (5,1)
4	y2 + 1xy + 1y = x3 + 2x2 + 5	3	(1,2) (3,4) (5,0)
5	y2 + 1xy + 3y = x3 + 2x2 + 5x + 3	3	(1,1) (3,3) (5,5)
6	y2 + 1xy + 5y = x3 + 2x2 + 4x + 5	3	(1,0) (3,2) (5,4)
7	y2 + 1xy + 2y = x3 + 5x2 + 4x + 5	3	(0,5) (2,1) (4,3)
8	y2 + 1xy + 4y = x3 + 5x2 + 3x + 2	3	(0,4) (2,0) (4,2)
9	y2 + 1xy = x3 + 5x2 + 2x + 3	3	(0,3) (2,5) (4,1)
10	y2 + 1xy + 2y = x3 + 5x2 + 1x + 2	3	(0,2) (2,4) (4,0)
11	y2 + 1xy + 4y = x3 + 5x2 + 5	3	(0,1) (2,3) (4,5)
12	y2 + 1xy = x3 + 5x2 + 5x	3	(0,0) (2,2) (4,4)
13	y2 + 3xy + 1y = x3 + 2x + 5	3	(1,4) (3,4) (5,4)
14	y2 + 3xy + 3y = x3 + 5x + 3	3	(1,3) (3,3) (5,3)
15	y2 + 3xy + 5y = x3 + 2x + 5	3	(1,2) (3,2) (5,2)
16	y2 + 3xy + 1y = x3 + 5x + 5	3	(1,1) (3,1) (5,1)
17	y2 + 3xy + 3y = x3 + 2x + 3	3	(1,0) (3,0) (5,0)
18	y2 + 3xy + 5y = x3 + 5x + 5	3	(1,5) (3,5) (5,5)
19	y2 + 3xy + 2y = x3 + 3x2 + 2x + 5	3	(0,5) (2,5) (4,5)
20	y2 + 3xy + 4y = x3 + 3x2 + 5x + 2	3	(0,4) (2,4) (4,4)
21	y2 + 3xy = x3 + 3x2 + 2x + 3	3	(0,3) (2,3) (4,3)
22	y2 + 3xy + 2y = x3 + 3x2 + 5x + 2	3	(0,2) (2,2) (4,2)
23	y2 + 3xy + 4y = x3 + 3x2 + 2x + 5	3	(0,1) (2,1) (4,1)
24	y2 + 3xy = x3 + 3x2 + 5x	3	(0,0) (2,0) (4,0)
25	y2 + 5xy + 1y = x3 + 2x2 + 1x + 5	3	(1,3) (3,1) (5,5)
26	y2 + 5xy + 3y = x3 + 2x2 + 2x + 3	3	(1,2) (3,0) (5,4)
27	y2 + 5xy + 5y = x3 + 2x2 + 3x + 5	3	(1,1) (3,5) (5,3)
28	y2 + 5xy + 1y = x3 + 2x2 + 4x + 5	3	(1,0) (3,4) (5,2)
29	y2 + 5xy + 3y = x3 + 2x2 + 5x + 3	3	(1,5) (3,3) (5,1)
30	y2 + 5xy + 5y = x3 + 2x2 + 5	3	(1,4) (3,2) (5,0)
31	y2 + 5xy + 2y = x3 + 5x2 + 5	3	(0,5) (2,3) (4,1)
32	y2 + 5xy + 4y = x3 + 5x2 + 1x + 2	3	(0,4) (2,2) (4,0)
33	y2 + 5xy = x3 + 5x2 + 2x + 3	3	(0,3) (2,1) (4,5)
34	y2 + 5xy + 2y = x3 + 5x2 + 3x + 2	3	(0,2) (2,0) (4,4)
35	y2 + 5xy + 4y = x3 + 5x2 + 4x + 5	3	(0,1) (2,5) (4,3)
36	y2 + 5xy = x3 + 5x2 + 5x	3	(0,0) (2,4) (4,2)