Family of genus 5 curves with automorphism group $C_2^3.A_4$

• Label: 5.96-3.0.3-3-4
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_2^3.A_4\)
• Signature: \([ 0; 3, 3, 4 ]\)

Family Information

Genus:	$5$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 3, 3, 4 ]$

Group

Name:	$C_2^3.A_4$
Identifier:	$[96,3]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
5.96-3.0.3-3-4.1	5, 6, 7
5.96-3.0.3-3-4.2	5, 6, 8
5.96-3.0.3-3-4.3	5, 6, 9
5.96-3.0.3-3-4.4	5, 6, 10

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

5.96-3.0.3-3-4.1.1

	(1,33,65) (2,34,66) (3,40,70) (4,39,69) (5,36,71) (6,35,72) (7,37,68) (8,38,67) (9,59,81) (10,60,82) (11,62,86) (12,61,85) (13,58,87) (14,57,88) (15,63,84) (16,64,83) (17,41,91) (18,42,92) (19,48,96) (20,47,95) (21,44,93) (22,43,94) (23,45,90) (24,46,89) (25,56,78) (26,55,77) (27,49,73) (28,50,74) (29,53,76) (30,54,75) (31,52,79) (32,51,80)
	(1,90,49) (2,89,50) (3,93,56) (4,94,55) (5,96,52) (6,95,51) (7,91,53) (8,92,54) (9,80,46) (10,79,45) (11,75,43) (12,76,44) (13,74,47) (14,73,48) (15,77,42) (16,78,41) (17,65,58) (18,66,57) (19,70,63) (20,69,64) (21,71,59) (22,72,60) (23,68,62) (24,67,61) (25,82,34) (26,81,33) (27,85,39) (28,86,40) (29,88,35) (30,87,36) (31,83,38) (32,84,37)
	(1,27,4,26) (2,28,3,25) (5,31,8,30) (6,32,7,29) (9,24,12,21) (10,23,11,22) (13,20,16,17) (14,19,15,18) (33,59,36,58) (34,60,35,57) (37,63,40,62) (38,64,39,61) (41,56,44,53) (42,55,43,54) (45,52,48,49) (46,51,47,50) (65,91,68,90) (66,92,67,89) (69,95,72,94) (70,96,71,93) (73,88,76,85) (74,87,75,86) (77,84,80,81) (78,83,79,82)