Family of genus 7 curves with automorphism group $\SL(2,3):S_3$

• Label: 7.144-127.0.2-3-12
• Genus: \(7\)
• Quotient genus: \(0\)
• Group: \(\SL(2,3):S_3\)
• Signature: \([ 0; 2, 3, 12 ]\)

Family Information

Genus:	$7$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 3, 12 ]$

Group

Name:	$\SL(2,3):S_3$
Identifier:	$[144,127]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
7.144-127.0.2-3-12.1	3, 7, 19
7.144-127.0.2-3-12.2	3, 7, 21
7.144-127.0.2-3-12.3	3, 8, 18
7.144-127.0.2-3-12.4	3, 8, 20

Displaying the representative for the unique action up to topological equivalence.

7.144-127.0.2-3-12.1.1

	(1,79) (2,80) (3,83) (4,84) (5,81) (6,82) (7,74) (8,73) (9,78) (10,77) (11,76) (12,75) (13,91) (14,92) (15,95) (16,96) (17,93) (18,94) (19,86) (20,85) (21,90) (22,89) (23,88) (24,87) (25,103) (26,104) (27,107) (28,108) (29,105) (30,106) (31,98) (32,97) (33,102) (34,101) (35,100) (36,99) (37,115) (38,116) (39,119) (40,120) (41,117) (42,118) (43,110) (44,109) (45,114) (46,113) (47,112) (48,111) (49,127) (50,128) (51,131) (52,132) (53,129) (54,130) (55,122) (56,121) (57,126) (58,125) (59,124) (60,123) (61,139) (62,140) (63,143) (64,144) (65,141) (66,142) (67,134) (68,133) (69,138) (70,137) (71,136) (72,135)
	(1,27,53) (2,28,54) (3,29,49) (4,30,50) (5,25,51) (6,26,52) (7,39,71) (8,40,72) (9,41,67) (10,42,68) (11,37,69) (12,38,70) (13,45,59) (14,46,60) (15,47,55) (16,48,56) (17,43,57) (18,44,58) (19,33,65) (20,34,66) (21,35,61) (22,36,62) (23,31,63) (24,32,64) (73,99,125) (74,100,126) (75,101,121) (76,102,122) (77,97,123) (78,98,124) (79,111,143) (80,112,144) (81,113,139) (82,114,140) (83,109,141) (84,110,142) (85,117,131) (86,118,132) (87,119,127) (88,120,128) (89,115,129) (90,116,130) (91,105,137) (92,106,138) (93,107,133) (94,108,134) (95,103,135) (96,104,136)
	(1,129,37,76,55,112,2,130,38,75,56,111) (3,127,39,74,57,110,4,128,40,73,58,109) (5,131,41,78,59,114,6,132,42,77,60,113) (7,136,26,82,62,99,8,135,25,81,61,100) (9,134,28,80,64,97,10,133,27,79,63,98) (11,138,30,84,66,101,12,137,29,83,65,102) (13,124,31,88,50,106,14,123,32,87,49,105) (15,122,33,86,52,104,16,121,34,85,51,103) (17,126,35,90,54,108,18,125,36,89,53,107) (19,141,44,94,67,117,20,142,43,93,68,118) (21,139,46,92,69,115,22,140,45,91,70,116) (23,143,48,96,71,119,24,144,47,95,72,120)