Family of genus 5 curves with automorphism group $\GL(2,\mathbb{Z}/4)$

• Label: 5.96-195.0.2-4-6
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(\GL(2,\mathbb{Z}/4)\)
• Signature: \([ 0; 2, 4, 6 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 4, 6 ]$

Group

Name:	$\GL(2,\mathbb{Z}/4)$
Identifier:	$[96,195]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
5.96-195.0.2-4-6.1	7, 11, 13
5.96-195.0.2-4-6.2	7, 11, 14

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

5.96-195.0.2-4-6.1.1

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