Family of genus 7 curves with automorphism group $C_3$

• Label: 7.3-1.0.3-3-3-3-3-3-3-3-3
• Genus: \(7\)
• Quotient genus: \(0\)
• Group: \(C_3\)
• Signature: \([ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]\)

Family Information

Genus:	$7$
Dimension of the family:	$6$

Cover

Quotient genus:	$0$
Number of branch points:	$9$
Signature:	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$

Group

Name:	$C_3$
Identifier:	$[3,1]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
7.3-1.0.3-3-3-3-3-3-3-3-3.1	2, 2, 2, 2, 2, 2, 2, 2, 2
7.3-1.0.3-3-3-3-3-3-3-3-3.2	2, 2, 2, 2, 2, 2, 3, 3, 3
7.3-1.0.3-3-3-3-3-3-3-3-3.3	2, 2, 2, 3, 3, 3, 3, 3, 3
7.3-1.0.3-3-3-3-3-3-3-3-3.4	3, 3, 3, 3, 3, 3, 3, 3, 3

Displaying representatives for 2 topologically inequivalent actions.

7.3-1.0.3-3-3-3-3-3-3-3-3.1.1

	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)

7.3-1.0.3-3-3-3-3-3-3-3-3.2.1

	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,2,3)
	(1,3,2)
	(1,3,2)
	(1,3,2)