Family of genus 4 curves with automorphism group $\SL(2,3)$

• Label: 4.24-3.0.3-4-6
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(\SL(2,3)\)
• Signature: \([ 0; 3, 4, 6 ]\)

Family Information

Genus:	$4$
Dimension of the family:	$0$

Cover

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

Group

Name:	$\SL(2,3)$
Identifier:	$[24,3]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
4.24-3.0.3-4-6.1	3, 5, 7
4.24-3.0.3-4-6.2	4, 5, 6

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

4.24-3.0.3-4-6.1.1

	(1,9,17) (2,10,18) (3,15,21) (4,16,22) (5,11,23) (6,12,24) (7,13,19) (8,14,20)
	(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) (17,20,18,19) (21,24,22,23)
	(1,21,11,2,22,12) (3,18,14,4,17,13) (5,19,10,6,20,9) (7,24,15,8,23,16)