Family of genus 5 curves with automorphism group $C_3\times D_5$

• Label: 5.30-2.0.2-6-15
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_3\times D_5\)
• Signature: \([ 0; 2, 6, 15 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 6, 15 ]$

Group

Name:	$C_3\times D_5$
Identifier:	$[30,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
5.30-2.0.2-6-15.1	2, 7, 10
5.30-2.0.2-6-15.2	2, 7, 12
5.30-2.0.2-6-15.3	2, 8, 9
5.30-2.0.2-6-15.4	2, 8, 11

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

5.30-2.0.2-6-15.1.1

	(1,16) (2,20) (3,19) (4,18) (5,17) (6,21) (7,25) (8,24) (9,23) (10,22) (11,26) (12,30) (13,29) (14,28) (15,27)
	(1,23,11,18,6,28) (2,22,12,17,7,27) (3,21,13,16,8,26) (4,25,14,20,9,30) (5,24,15,19,10,29)
	(1,14,7,5,13,6,4,12,10,3,11,9,2,15,8) (16,29,22,20,28,21,19,27,25,18,26,24,17,30,23)