class leader: y² = x³ + 21x + 57

Sr no.	class members	# points	points
1	y2 = x3 + 21x + 57	77	(3,35) (3,42) (5,21) (5,56) (6,28) (6,49) (8,11) (8,66) (14,13) (14,20) (14,57) (14,64) (16,10) (16,32) (16,45) (16,67) (17,28) (17,49) (19,0) (25,24) (25,31) (25,46) (25,53) (27,21) (27,56) (28,6) (28,27) (28,50) (28,71) (30,11) (30,66) (36,24) (36,31) (36,46) (36,53) (38,21) (38,56) (39,17) (39,38) (39,39) (39,60) (41,0) (47,35) (47,42) (49,1) (49,34) (49,43) (49,76) (50,17) (50,38) (50,39) (50,60) (52,0) (58,24) (58,31) (58,46) (58,53) (60,10) (60,32) (60,45) (60,67) (61,28) (61,49) (63,22) (63,55) (69,35) (69,42) (71,10) (71,32) (71,45) (71,67) (72,17) (72,38) (72,39) (72,60) (74,11) (74,66)
2	y2 = x3 + 35x + 43	77	(2,11) (2,66) (4,4) (4,18) (4,59) (4,73) (7,13) (7,20) (7,57) (7,64) (9,3) (9,25) (9,52) (9,74) (13,0) (15,4) (15,18) (15,59) (15,73) (18,24) (18,31) (18,46) (18,53) (20,14) (20,63) (24,0) (26,7) (26,70) (29,24) (29,31) (29,46) (29,53) (31,14) (31,63) (35,22) (35,55) (37,4) (37,18) (37,59) (37,73) (40,35) (40,42) (42,8) (42,36) (42,41) (42,69) (46,11) (46,66) (48,7) (48,70) (51,24) (51,31) (51,46) (51,53) (53,3) (53,25) (53,52) (53,74) (57,11) (57,66) (59,7) (59,70) (62,35) (62,42) (64,3) (64,25) (64,52) (64,74) (68,0) (70,15) (70,29) (70,48) (70,62) (73,35) (73,42) (75,14) (75,63)
3	y2 = x3 + 63x + 8	77	(3,35) (3,42) (4,4) (4,18) (4,59) (4,73) (7,22) (7,55) (8,10) (8,32) (8,45) (8,67) (14,13) (14,20) (14,57) (14,64) (15,4) (15,18) (15,59) (15,73) (18,11) (18,66) (19,21) (19,56) (25,24) (25,31) (25,46) (25,53) (26,7) (26,70) (29,11) (29,66) (30,10) (30,32) (30,45) (30,67) (36,24) (36,31) (36,46) (36,53) (37,4) (37,18) (37,59) (37,73) (40,0) (41,21) (41,56) (47,35) (47,42) (48,7) (48,70) (51,11) (51,66) (52,21) (52,56) (58,24) (58,31) (58,46) (58,53) (59,7) (59,70) (62,0) (63,1) (63,34) (63,43) (63,76) (69,35) (69,42) (70,15) (70,29) (70,48) (70,62) (73,0) (74,10) (74,32) (74,45) (74,67)
4	y2 = x3 + 7x + 50	77	(1,17) (1,38) (1,39) (1,60) (5,21) (5,56) (6,0) (10,14) (10,63) (12,28) (12,49) (16,10) (16,32) (16,45) (16,67) (17,0) (21,8) (21,36) (21,41) (21,69) (23,17) (23,38) (23,39) (23,60) (27,21) (27,56) (28,22) (28,55) (32,3) (32,25) (32,52) (32,74) (34,28) (34,49) (38,21) (38,56) (39,11) (39,66) (43,3) (43,25) (43,52) (43,74) (45,28) (45,49) (49,1) (49,34) (49,43) (49,76) (50,11) (50,66) (54,14) (54,63) (56,6) (56,27) (56,50) (56,71) (60,10) (60,32) (60,45) (60,67) (61,0) (65,3) (65,25) (65,52) (65,74) (67,17) (67,38) (67,39) (67,60) (71,10) (71,32) (71,45) (71,67) (72,11) (72,66) (76,14) (76,63)
5	y2 = x3 + 28x + 29	77	(1,17) (1,38) (1,39) (1,60) (2,4) (2,18) (2,59) (2,73) (9,3) (9,25) (9,52) (9,74) (10,0) (12,28) (12,49) (13,7) (13,70) (20,14) (20,63) (21,22) (21,55) (23,17) (23,38) (23,39) (23,60) (24,7) (24,70) (31,14) (31,63) (32,11) (32,66) (34,28) (34,49) (35,15) (35,29) (35,48) (35,62) (42,8) (42,36) (42,41) (42,69) (43,11) (43,66) (45,28) (45,49) (46,4) (46,18) (46,59) (46,73) (53,3) (53,25) (53,52) (53,74) (54,0) (56,6) (56,27) (56,50) (56,71) (57,4) (57,18) (57,59) (57,73) (64,3) (64,25) (64,52) (64,74) (65,11) (65,66) (67,17) (67,38) (67,39) (67,60) (68,7) (68,70) (75,14) (75,63) (76,0)