class leader: y² = x³ + 31x + 120

Sr no.	class members	# points	points
1	y2 = x3 + 31x + 120	81	(2,60) (2,95) (5,20) (5,135) (10,60) (10,95) (12,40) (12,115) (18,0) (25,20) (25,135) (27,5) (27,150) (28,0) (32,20) (32,135) (33,60) (33,95) (42,5) (42,150) (43,40) (43,115) (47,0) (50,60) (50,95) (52,40) (52,115) (55,5) (55,150) (58,5) (58,150) (60,40) (60,115) (63,20) (63,135) (67,20) (67,135) (72,60) (72,95) (73,5) (73,150) (78,0) (80,0) (83,40) (83,115) (87,20) (87,135) (90,0) (95,60) (95,95) (98,20) (98,135) (103,60) (103,95) (105,40) (105,115) (112,60) (112,95) (117,5) (117,150) (118,20) (118,135) (120,5) (120,150) (122,40) (122,115) (125,20) (125,135) (135,5) (135,150) (140,0) (142,0) (143,60) (143,95) (145,40) (145,115) (148,5) (148,150) (152,0) (153,40) (153,115)
2	y2 = x3 + 31x + 60	81	(3,5) (3,150) (7,0) (8,75) (8,80) (13,5) (13,150) (15,5) (15,150) (18,70) (18,85) (20,0) (28,70) (28,85) (30,20) (30,135) (35,0) (37,20) (37,135) (38,0) (40,75) (40,80) (45,75) (45,80) (47,70) (47,85) (57,20) (57,135) (65,5) (65,150) (68,20) (68,135) (70,75) (70,80) (75,5) (75,150) (77,5) (77,150) (78,70) (78,85) (80,70) (80,85) (82,0) (88,20) (88,135) (90,70) (90,85) (92,20) (92,135) (97,0) (100,0) (102,75) (102,80) (107,75) (107,80) (108,5) (108,150) (113,0) (123,20) (123,135) (127,5) (127,150) (128,0) (130,20) (130,135) (132,75) (132,80) (133,75) (133,80) (137,5) (137,150) (138,75) (138,80) (140,70) (140,85) (142,70) (142,85) (150,20) (150,135) (152,70) (152,85)
3	y2 = x3 + 31x + 85	81	(2,0) (3,40) (3,115) (7,5) (7,150) (8,15) (8,140) (10,0) (13,40) (13,115) (15,40) (15,115) (17,10) (17,145) (20,5) (20,150) (22,10) (22,145) (23,10) (23,145) (33,0) (35,5) (35,150) (38,5) (38,150) (40,15) (40,140) (45,15) (45,140) (48,10) (48,145) (50,0) (53,10) (53,145) (65,40) (65,115) (70,15) (70,140) (72,0) (75,40) (75,115) (77,40) (77,115) (82,5) (82,150) (85,10) (85,145) (95,0) (97,5) (97,150) (100,5) (100,150) (102,15) (102,140) (103,0) (107,15) (107,140) (108,40) (108,115) (110,10) (110,145) (112,0) (113,5) (113,150) (115,10) (115,145) (127,40) (127,115) (128,5) (128,150) (132,15) (132,140) (133,15) (133,140) (137,40) (137,115) (138,15) (138,140) (143,0) (147,10) (147,145)
4	y2 = x3 + 31x + 30	81	(2,10) (2,145) (5,0) (7,30) (7,125) (10,10) (10,145) (17,75) (17,80) (20,30) (20,125) (22,75) (22,80) (23,75) (23,80) (25,0) (27,20) (27,135) (32,0) (33,10) (33,145) (35,30) (35,125) (38,30) (38,125) (42,20) (42,135) (48,75) (48,80) (50,10) (50,145) (53,75) (53,80) (55,20) (55,135) (58,20) (58,135) (63,0) (67,0) (72,10) (72,145) (73,20) (73,135) (82,30) (82,125) (85,75) (85,80) (87,0) (95,10) (95,145) (97,30) (97,125) (98,0) (100,30) (100,125) (103,10) (103,145) (110,75) (110,80) (112,10) (112,145) (113,30) (113,125) (115,75) (115,80) (117,20) (117,135) (118,0) (120,20) (120,135) (125,0) (128,30) (128,125) (135,20) (135,135) (143,10) (143,145) (147,75) (147,80) (148,20) (148,135)
5	y2 = x3 + 31x + 15	81	(5,35) (5,120) (8,0) (12,10) (12,145) (18,40) (18,115) (25,35) (25,120) (28,40) (28,115) (30,75) (30,80) (32,35) (32,120) (37,75) (37,80) (40,0) (43,10) (43,145) (45,0) (47,40) (47,115) (52,10) (52,145) (57,75) (57,80) (60,10) (60,145) (63,35) (63,120) (67,35) (67,120) (68,75) (68,80) (70,0) (78,40) (78,115) (80,40) (80,115) (83,10) (83,145) (87,35) (87,120) (88,75) (88,80) (90,40) (90,115) (92,75) (92,80) (98,35) (98,120) (102,0) (105,10) (105,145) (107,0) (118,35) (118,120) (122,10) (122,145) (123,75) (123,80) (125,35) (125,120) (130,75) (130,80) (132,0) (133,0) (138,0) (140,40) (140,115) (142,40) (142,115) (145,10) (145,145) (150,75) (150,80) (152,40) (152,115) (153,10) (153,145)