class leader: y² = x³ + 31x + 1

Sr no.	class members	# points	points
1	y2 = x3 + 31x + 1	56	(0,1) (0,14) (0,51) (0,64) (3,11) (3,24) (3,41) (3,54) (13,1) (13,14) (13,51) (13,64) (19,13) (19,52) (24,3) (24,23) (24,42) (24,62) (29,2) (29,28) (29,37) (29,63) (32,26) (32,39) (37,16) (37,29) (37,36) (37,49) (39,12) (39,27) (39,38) (39,53) (42,11) (42,24) (42,41) (42,54) (45,26) (45,39) (50,16) (50,29) (50,36) (50,49) (52,1) (52,14) (52,51) (52,64) (55,11) (55,24) (55,41) (55,54) (58,26) (58,39) (63,16) (63,29) (63,36) (63,49)
2	y2 = x3 + 6x + 64	56	(0,8) (0,18) (0,47) (0,57) (6,11) (6,24) (6,41) (6,54) (8,13) (8,52) (13,8) (13,18) (13,47) (13,57) (17,3) (17,23) (17,42) (17,62) (21,26) (21,39) (26,21) (26,31) (26,34) (26,44) (30,3) (30,23) (30,42) (30,62) (32,2) (32,28) (32,37) (32,63) (43,3) (43,23) (43,42) (43,62) (45,2) (45,28) (45,37) (45,63) (47,13) (47,52) (52,8) (52,18) (52,47) (52,57) (56,16) (56,29) (56,36) (56,49) (58,2) (58,28) (58,37) (58,63) (60,13) (60,52)
3	y2 = x3 + 6x + 14	56	(0,12) (0,27) (0,38) (0,53) (5,13) (5,52) (7,3) (7,23) (7,42) (7,62) (13,12) (13,27) (13,38) (13,53) (18,13) (18,52) (20,3) (20,23) (20,42) (20,62) (22,2) (22,28) (22,37) (22,63) (26,1) (26,14) (26,51) (26,64) (31,26) (31,39) (33,3) (33,23) (33,42) (33,62) (35,2) (35,28) (35,37) (35,63) (46,16) (46,29) (46,36) (46,49) (48,2) (48,28) (48,37) (48,63) (52,12) (52,27) (52,38) (52,53) (57,13) (57,52) (61,11) (61,24) (61,41) (61,54)
4	y2 = x3 + 41x + 1	56	(0,1) (0,14) (0,51) (0,64) (2,26) (2,39) (8,16) (8,29) (8,36) (8,49) (13,1) (13,14) (13,51) (13,64) (14,2) (14,28) (14,37) (14,63) (15,26) (15,39) (27,11) (27,24) (27,41) (27,54) (28,26) (28,39) (34,3) (34,23) (34,42) (34,62) (39,12) (39,27) (39,38) (39,53) (40,11) (40,24) (40,41) (40,54) (47,16) (47,29) (47,36) (47,49) (52,1) (52,14) (52,51) (52,64) (53,11) (53,24) (53,41) (53,54) (54,13) (54,52) (60,16) (60,29) (60,36) (60,49)
5	y2 = x3 + 41x + 51	56	(0,21) (0,31) (0,34) (0,44) (5,11) (5,24) (5,41) (5,54) (12,16) (12,29) (12,36) (12,49) (13,21) (13,31) (13,34) (13,44) (18,11) (18,24) (18,41) (18,54) (24,13) (24,52) (25,16) (25,29) (25,36) (25,49) (37,26) (37,39) (38,16) (38,29) (38,36) (38,49) (39,8) (39,18) (39,47) (39,57) (44,2) (44,28) (44,37) (44,63) (50,26) (50,39) (52,21) (52,31) (52,34) (52,44) (57,11) (57,24) (57,41) (57,54) (63,26) (63,39) (64,3) (64,23) (64,42) (64,62)
6	y2 = x3 + 41x + 64	56	(0,8) (0,18) (0,47) (0,57) (5,2) (5,28) (5,37) (5,63) (11,26) (11,39) (12,3) (12,23) (12,42) (12,62) (13,8) (13,18) (13,47) (13,57) (18,2) (18,28) (18,37) (18,63) (25,3) (25,23) (25,42) (25,62) (26,21) (26,31) (26,34) (26,44) (31,11) (31,24) (31,41) (31,54) (37,13) (37,52) (38,3) (38,23) (38,42) (38,62) (50,13) (50,52) (51,16) (51,29) (51,36) (51,49) (52,8) (52,18) (52,47) (52,57) (57,2) (57,28) (57,37) (57,63) (63,13) (63,52)
7	y2 = x3 + 31x + 64	56	(0,8) (0,18) (0,47) (0,57) (2,2) (2,28) (2,37) (2,63) (7,13) (7,52) (10,3) (10,23) (10,42) (10,62) (13,8) (13,18) (13,47) (13,57) (15,2) (15,28) (15,37) (15,63) (20,13) (20,52) (23,3) (23,23) (23,42) (23,62) (26,21) (26,31) (26,34) (26,44) (28,2) (28,28) (28,37) (28,63) (33,13) (33,52) (36,16) (36,29) (36,36) (36,49) (41,11) (41,24) (41,41) (41,54) (46,26) (46,39) (52,8) (52,18) (52,47) (52,57) (62,3) (62,23) (62,42) (62,62)
8	y2 = x3 + 6x + 51	56	(0,21) (0,31) (0,34) (0,44) (4,3) (4,23) (4,42) (4,62) (8,26) (8,39) (13,21) (13,31) (13,34) (13,44) (17,16) (17,29) (17,36) (17,49) (19,2) (19,28) (19,37) (19,63) (30,16) (30,29) (30,36) (30,49) (32,11) (32,24) (32,41) (32,54) (34,13) (34,52) (39,8) (39,18) (39,47) (39,57) (43,16) (43,29) (43,36) (43,49) (45,11) (45,24) (45,41) (45,54) (47,26) (47,39) (52,21) (52,31) (52,34) (52,44) (58,11) (58,24) (58,41) (58,54) (60,26) (60,39)
9	y2 = x3 + 31x + 14	56	(0,12) (0,27) (0,38) (0,53) (3,2) (3,28) (3,37) (3,63) (6,26) (6,39) (11,16) (11,29) (11,36) (11,49) (13,12) (13,27) (13,38) (13,53) (16,11) (16,24) (16,41) (16,54) (26,1) (26,14) (26,51) (26,64) (32,13) (32,52) (37,3) (37,23) (37,42) (37,62) (42,2) (42,28) (42,37) (42,63) (45,13) (45,52) (50,3) (50,23) (50,42) (50,62) (52,12) (52,27) (52,38) (52,53) (55,2) (55,28) (55,37) (55,63) (58,13) (58,52) (63,3) (63,23) (63,42) (63,62)
10	y2 = x3 + 6x + 1	56	(0,1) (0,14) (0,51) (0,64) (5,26) (5,39) (7,16) (7,29) (7,36) (7,49) (9,2) (9,28) (9,37) (9,63) (13,1) (13,14) (13,51) (13,64) (18,26) (18,39) (20,16) (20,29) (20,36) (20,49) (22,11) (22,24) (22,41) (22,54) (33,16) (33,29) (33,36) (33,49) (35,11) (35,24) (35,41) (35,54) (39,12) (39,27) (39,38) (39,53) (44,13) (44,52) (48,11) (48,24) (48,41) (48,54) (52,1) (52,14) (52,51) (52,64) (57,26) (57,39) (59,3) (59,23) (59,42) (59,62)
11	y2 = x3 + 41x + 14	56	(0,12) (0,27) (0,38) (0,53) (1,11) (1,24) (1,41) (1,54) (2,13) (2,52) (8,3) (8,23) (8,42) (8,62) (13,12) (13,27) (13,38) (13,53) (15,13) (15,52) (21,16) (21,29) (21,36) (21,49) (26,1) (26,14) (26,51) (26,64) (27,2) (27,28) (27,37) (27,63) (28,13) (28,52) (40,2) (40,28) (40,37) (40,63) (41,26) (41,39) (47,3) (47,23) (47,42) (47,62) (52,12) (52,27) (52,38) (52,53) (53,2) (53,28) (53,37) (53,63) (60,3) (60,23) (60,42) (60,62)
12	y2 = x3 + 31x + 51	56	(0,21) (0,31) (0,34) (0,44) (2,11) (2,24) (2,41) (2,54) (7,26) (7,39) (10,16) (10,29) (10,36) (10,49) (13,21) (13,31) (13,34) (13,44) (15,11) (15,24) (15,41) (15,54) (20,26) (20,39) (23,16) (23,29) (23,36) (23,49) (28,11) (28,24) (28,41) (28,54) (33,26) (33,39) (39,8) (39,18) (39,47) (39,57) (49,3) (49,23) (49,42) (49,62) (52,21) (52,31) (52,34) (52,44) (54,2) (54,28) (54,37) (54,63) (59,13) (59,52) (62,16) (62,29) (62,36) (62,49)