class leader: y² = x³ + 23x + 40

Sr no.	class members	# points	points
1	y2 = x3 + 23x + 40	126	(1,3) (1,8) (1,47) (1,52) (3,9) (3,24) (3,31) (3,46) (4,14) (4,19) (4,36) (4,41) (5,15) (5,40) (6,3) (6,8) (6,47) (6,52) (7,7) (7,18) (7,37) (7,48) (10,15) (10,40) (12,3) (12,8) (12,47) (12,52) (14,9) (14,24) (14,31) (14,46) (15,25) (15,30) (16,7) (16,18) (16,37) (16,48) (17,3) (17,8) (17,47) (17,52) (18,4) (18,26) (18,29) (18,51) (21,7) (21,18) (21,37) (21,48) (23,14) (23,19) (23,36) (23,41) (25,20) (25,35) (26,3) (26,8) (26,47) (26,52) (27,7) (27,18) (27,37) (27,48) (28,14) (28,19) (28,36) (28,41) (29,4) (29,26) (29,29) (29,51) (32,7) (32,18) (32,37) (32,48) (34,14) (34,19) (34,36) (34,41) (36,2) (36,13) (36,42) (36,53) (37,3) (37,8) (37,47) (37,52) (38,4) (38,26) (38,29) (38,51) (39,14) (39,19) (39,36) (39,41) (40,15) (40,40) (43,4) (43,26) (43,29) (43,51) (45,25) (45,30) (47,2) (47,13) (47,42) (47,53) (48,14) (48,19) (48,36) (48,41) (49,4) (49,26) (49,29) (49,51) (50,25) (50,30) (51,7) (51,18) (51,37) (51,48) (54,4) (54,26) (54,29) (54,51)
2	y2 = x3 + 53x + 35	126	(1,12) (1,23) (1,32) (1,43) (3,1) (3,21) (3,34) (3,54) (4,6) (4,16) (4,39) (4,49) (7,12) (7,23) (7,32) (7,43) (8,6) (8,16) (8,39) (8,49) (9,14) (9,19) (9,36) (9,41) (10,5) (10,50) (12,12) (12,23) (12,32) (12,43) (14,1) (14,21) (14,34) (14,54) (15,5) (15,50) (18,1) (18,21) (18,34) (18,54) (19,6) (19,16) (19,39) (19,49) (20,25) (20,30) (21,17) (21,27) (21,28) (21,38) (23,1) (23,21) (23,34) (23,54) (25,10) (25,45) (26,17) (26,27) (26,28) (26,38) (29,1) (29,21) (29,34) (29,54) (30,5) (30,50) (31,3) (31,8) (31,47) (31,52) (32,17) (32,27) (32,28) (32,38) (34,1) (34,21) (34,34) (34,54) (36,12) (36,23) (36,32) (36,43) (37,17) (37,27) (37,28) (37,38) (40,10) (40,45) (41,17) (41,27) (41,28) (41,38) (42,3) (42,8) (42,47) (42,52) (43,6) (43,16) (43,39) (43,49) (45,10) (45,45) (47,12) (47,23) (47,32) (47,43) (48,6) (48,16) (48,39) (48,49) (51,12) (51,23) (51,32) (51,43) (52,17) (52,27) (52,28) (52,38) (53,14) (53,19) (53,36) (53,41) (54,6) (54,16) (54,39) (54,49)
3	y2 = x3 + 3x + 50	126	(2,3) (2,8) (2,47) (2,52) (3,14) (3,19) (3,36) (3,41) (4,4) (4,26) (4,29) (4,51) (5,5) (5,50) (6,3) (6,8) (6,47) (6,52) (8,6) (8,16) (8,39) (8,49) (9,6) (9,16) (9,39) (9,49) (13,14) (13,19) (13,36) (13,41) (14,14) (14,19) (14,36) (14,41) (15,15) (15,40) (16,17) (16,27) (16,28) (16,38) (17,3) (17,8) (17,47) (17,52) (19,6) (19,16) (19,39) (19,49) (20,5) (20,50) (24,14) (24,19) (24,36) (24,41) (25,25) (25,30) (26,7) (26,18) (26,37) (26,48) (27,17) (27,27) (27,28) (27,38) (28,14) (28,19) (28,36) (28,41) (30,5) (30,50) (31,17) (31,27) (31,28) (31,38) (35,25) (35,30) (36,3) (36,8) (36,47) (36,52) (37,7) (37,18) (37,37) (37,48) (38,6) (38,16) (38,39) (38,49) (39,14) (39,19) (39,36) (39,41) (41,17) (41,27) (41,28) (41,38) (42,17) (42,27) (42,28) (42,38) (46,3) (46,8) (46,47) (46,52) (47,3) (47,8) (47,47) (47,52) (48,4) (48,26) (48,29) (48,51) (49,6) (49,16) (49,39) (49,49) (50,25) (50,30) (52,17) (52,27) (52,28) (52,38) (53,6) (53,16) (53,39) (53,49)
4	y2 = x3 + 48x + 10	126	(1,2) (1,13) (1,42) (1,53) (2,2) (2,13) (2,42) (2,53) (3,4) (3,26) (3,29) (3,51) (5,10) (5,45) (8,9) (8,24) (8,31) (8,46) (9,4) (9,26) (9,29) (9,51) (10,15) (10,40) (12,2) (12,13) (12,42) (12,53) (13,9) (13,24) (13,31) (13,46) (14,4) (14,26) (14,29) (14,51) (16,12) (16,23) (16,32) (16,43) (19,9) (19,24) (19,31) (19,46) (20,15) (20,40) (21,7) (21,18) (21,37) (21,48) (23,9) (23,24) (23,31) (23,46) (24,9) (24,24) (24,31) (24,46) (25,15) (25,40) (27,12) (27,23) (27,32) (27,43) (30,20) (30,35) (31,7) (31,18) (31,37) (31,48) (32,7) (32,18) (32,37) (32,48) (34,9) (34,24) (34,31) (34,46) (35,20) (35,35) (36,7) (36,18) (36,37) (36,48) (38,1) (38,21) (38,34) (38,54) (41,2) (41,13) (41,42) (41,53) (42,7) (42,18) (42,37) (42,48) (43,4) (43,26) (43,29) (43,51) (45,20) (45,35) (46,2) (46,13) (46,42) (46,53) (47,7) (47,18) (47,37) (47,48) (49,1) (49,21) (49,34) (49,54) (52,2) (52,13) (52,42) (52,53) (53,4) (53,26) (53,29) (53,51) (54,4) (54,26) (54,29) (54,51)
5	y2 = x3 + 38x + 30	126	(1,17) (1,27) (1,28) (1,38) (2,2) (2,13) (2,42) (2,53) (4,9) (4,24) (4,31) (4,46) (5,20) (5,35) (6,12) (6,23) (6,32) (6,43) (7,12) (7,23) (7,32) (7,43) (9,1) (9,21) (9,34) (9,54) (12,17) (12,27) (12,28) (12,38) (13,9) (13,24) (13,31) (13,46) (15,20) (15,35) (16,2) (16,13) (16,42) (16,53) (17,12) (17,23) (17,32) (17,43) (18,1) (18,21) (18,34) (18,54) (20,10) (20,45) (23,6) (23,16) (23,39) (23,49) (24,9) (24,24) (24,31) (24,46) (26,2) (26,13) (26,42) (26,53) (27,2) (27,13) (27,42) (27,53) (28,1) (28,21) (28,34) (28,54) (29,1) (29,21) (29,34) (29,54) (31,12) (31,23) (31,32) (31,43) (34,6) (34,16) (34,39) (34,49) (35,20) (35,35) (37,2) (37,13) (37,42) (37,53) (38,9) (38,24) (38,31) (38,46) (39,1) (39,21) (39,34) (39,54) (40,10) (40,45) (42,12) (42,23) (42,32) (42,43) (45,5) (45,50) (46,2) (46,13) (46,42) (46,53) (48,9) (48,24) (48,31) (48,46) (49,9) (49,24) (49,31) (49,46) (50,10) (50,45) (51,12) (51,23) (51,32) (51,43) (53,1) (53,21) (53,34) (53,54)