class leader: y² = x³ + 21x + 1

Sr no.	class members	# points	points
1	y2 = x3 + 21x + 1	72	(0,1) (0,21) (0,34) (0,54) (3,6) (3,16) (3,39) (3,49) (5,11) (5,44) (10,1) (10,21) (10,34) (10,54) (12,1) (12,21) (12,34) (12,54) (14,17) (14,27) (14,28) (14,38) (22,1) (22,21) (22,34) (22,54) (23,1) (23,21) (23,34) (23,54) (25,6) (25,16) (25,39) (25,49) (27,11) (27,44) (32,1) (32,21) (32,34) (32,54) (33,1) (33,21) (33,34) (33,54) (34,12) (34,23) (34,32) (34,43) (38,11) (38,44) (43,1) (43,21) (43,34) (43,54) (44,12) (44,23) (44,32) (44,43) (45,1) (45,21) (45,34) (45,54) (47,6) (47,16) (47,39) (47,49) (49,22) (49,33) (54,12) (54,23) (54,32) (54,43)
2	y2 = x3 + 46x + 49	72	(0,7) (0,18) (0,37) (0,48) (3,7) (3,18) (3,37) (3,48) (8,7) (8,18) (8,37) (8,48) (11,4) (11,26) (11,29) (11,51) (15,22) (15,33) (20,2) (20,13) (20,42) (20,53) (22,7) (22,18) (22,37) (22,48) (25,7) (25,18) (25,37) (25,48) (26,11) (26,44) (30,7) (30,18) (30,37) (30,48) (31,9) (31,24) (31,31) (31,46) (33,7) (33,18) (33,37) (33,48) (36,4) (36,26) (36,29) (36,51) (37,22) (37,33) (41,4) (41,26) (41,29) (41,51) (42,2) (42,13) (42,42) (42,53) (47,7) (47,18) (47,37) (47,48) (48,22) (48,33) (52,7) (52,18) (52,37) (52,48) (53,2) (53,13) (53,42) (53,53)
3	y2 = x3 + 41x + 4	72	(0,2) (0,13) (0,42) (0,53) (3,22) (3,33) (5,2) (5,13) (5,42) (5,53) (6,9) (6,24) (6,31) (6,46) (11,9) (11,24) (11,31) (11,46) (15,12) (15,23) (15,32) (15,43) (16,9) (16,24) (16,31) (16,46) (17,2) (17,13) (17,42) (17,53) (22,2) (22,13) (22,42) (22,53) (25,22) (25,33) (26,1) (26,21) (26,34) (26,54) (27,2) (27,13) (27,42) (27,53) (28,2) (28,13) (28,42) (28,53) (33,2) (33,13) (33,42) (33,53) (36,11) (36,44) (37,12) (37,23) (37,32) (37,43) (38,2) (38,13) (38,42) (38,53) (47,22) (47,33) (48,12) (48,23) (48,32) (48,43) (50,2) (50,13) (50,42) (50,53)
4	y2 = x3 + 51x + 36	72	(0,6) (0,16) (0,39) (0,49) (2,6) (2,16) (2,39) (2,49) (5,14) (5,19) (5,36) (5,41) (9,17) (9,27) (9,28) (9,38) (12,11) (12,44) (13,6) (13,16) (13,39) (13,49) (20,6) (20,16) (20,39) (20,49) (22,6) (22,16) (22,39) (22,49) (23,11) (23,44) (24,17) (24,27) (24,28) (24,38) (27,14) (27,19) (27,36) (27,41) (33,6) (33,16) (33,39) (33,49) (34,22) (34,33) (35,6) (35,16) (35,39) (35,49) (38,14) (38,19) (38,36) (38,41) (42,6) (42,16) (42,39) (42,49) (44,17) (44,27) (44,28) (44,38) (45,11) (45,44) (49,3) (49,8) (49,47) (49,52) (53,6) (53,16) (53,39) (53,49)
5	y2 = x3 + 6x + 31	72	(0,14) (0,19) (0,36) (0,41) (4,3) (4,8) (4,47) (4,52) (7,14) (7,19) (7,36) (7,41) (9,22) (9,33) (12,4) (12,26) (12,29) (12,51) (15,14) (15,19) (15,36) (15,41) (18,14) (18,19) (18,36) (18,41) (20,11) (20,44) (22,14) (22,19) (22,36) (22,41) (23,4) (23,26) (23,29) (23,51) (29,3) (29,8) (29,47) (29,52) (33,14) (33,19) (33,36) (33,41) (34,7) (34,18) (34,37) (34,48) (37,14) (37,19) (37,36) (37,41) (40,14) (40,19) (40,36) (40,41) (42,11) (42,44) (44,3) (44,8) (44,47) (44,52) (45,4) (45,26) (45,29) (45,51) (48,14) (48,19) (48,36) (48,41) (53,11) (53,44)
6	y2 = x3 + 51x + 14	72	(0,17) (0,27) (0,28) (0,38) (1,11) (1,44) (2,17) (2,27) (2,28) (2,38) (5,3) (5,8) (5,47) (5,52) (11,6) (11,16) (11,39) (11,49) (12,22) (12,33) (13,17) (13,27) (13,28) (13,38) (16,14) (16,19) (16,36) (16,41) (20,17) (20,27) (20,28) (20,38) (22,17) (22,27) (22,28) (22,38) (23,22) (23,33) (27,3) (27,8) (27,47) (27,52) (31,6) (31,16) (31,39) (31,49) (33,17) (33,27) (33,28) (33,38) (35,17) (35,27) (35,28) (35,38) (38,3) (38,8) (38,47) (38,52) (42,17) (42,27) (42,28) (42,38) (45,22) (45,33) (46,6) (46,16) (46,39) (46,49) (53,17) (53,27) (53,28) (53,38)
7	y2 = x3 + 46x + 16	72	(0,4) (0,26) (0,29) (0,51) (3,4) (3,26) (3,29) (3,51) (4,22) (4,33) (8,4) (8,26) (8,29) (8,51) (9,2) (9,13) (9,42) (9,53) (14,7) (14,18) (14,37) (14,48) (15,11) (15,44) (19,7) (19,18) (19,37) (19,48) (20,9) (20,24) (20,31) (20,46) (22,4) (22,26) (22,29) (22,51) (25,4) (25,26) (25,29) (25,51) (30,4) (30,26) (30,29) (30,51) (33,4) (33,26) (33,29) (33,51) (37,11) (37,44) (42,9) (42,24) (42,31) (42,46) (44,7) (44,18) (44,37) (44,48) (47,4) (47,26) (47,29) (47,51) (48,11) (48,44) (52,4) (52,26) (52,29) (52,51) (53,9) (53,24) (53,31) (53,46)
8	y2 = x3 + 21x + 34	72	(0,12) (0,23) (0,32) (0,43) (1,1) (1,21) (1,34) (1,54) (3,17) (3,27) (3,28) (3,38) (5,22) (5,33) (10,12) (10,23) (10,32) (10,43) (11,1) (11,21) (11,34) (11,54) (12,12) (12,23) (12,32) (12,43) (16,11) (16,44) (21,1) (21,21) (21,34) (21,54) (22,12) (22,23) (22,32) (22,43) (23,12) (23,23) (23,32) (23,43) (25,17) (25,27) (25,28) (25,38) (27,22) (27,33) (32,12) (32,23) (32,32) (32,43) (33,12) (33,23) (33,32) (33,43) (36,6) (36,16) (36,39) (36,49) (38,22) (38,33) (43,12) (43,23) (43,32) (43,43) (45,12) (45,23) (45,32) (45,43) (47,17) (47,27) (47,28) (47,38)
9	y2 = x3 + 41x + 26	72	(0,9) (0,24) (0,31) (0,46) (3,11) (3,44) (4,12) (4,23) (4,32) (4,43) (5,9) (5,24) (5,31) (5,46) (14,22) (14,33) (15,1) (15,21) (15,34) (15,54) (17,9) (17,24) (17,31) (17,46) (22,9) (22,24) (22,31) (22,46) (25,11) (25,44) (27,9) (27,24) (27,31) (27,46) (28,9) (28,24) (28,31) (28,46) (33,9) (33,24) (33,31) (33,46) (37,1) (37,21) (37,34) (37,54) (38,9) (38,24) (38,31) (38,46) (39,2) (39,13) (39,42) (39,53) (44,2) (44,13) (44,42) (44,53) (47,11) (47,44) (48,1) (48,21) (48,34) (48,54) (49,2) (49,13) (49,42) (49,53) (50,9) (50,24) (50,31) (50,46)
10	y2 = x3 + 6x + 9	72	(0,3) (0,8) (0,47) (0,52) (1,4) (1,26) (1,29) (1,51) (7,3) (7,8) (7,47) (7,52) (11,14) (11,19) (11,36) (11,41) (12,7) (12,18) (12,37) (12,48) (15,3) (15,8) (15,47) (15,52) (18,3) (18,8) (18,47) (18,52) (20,22) (20,33) (22,3) (22,8) (22,47) (22,52) (23,7) (23,18) (23,37) (23,48) (26,14) (26,19) (26,36) (26,41) (31,11) (31,44) (33,3) (33,8) (33,47) (33,52) (37,3) (37,8) (37,47) (37,52) (40,3) (40,8) (40,47) (40,52) (42,22) (42,33) (45,7) (45,18) (45,37) (45,48) (48,3) (48,8) (48,47) (48,52) (51,14) (51,19) (51,36) (51,41) (53,22) (53,33)