One refined passport of genus 2 with automorphism group $C_6$

• Label: 2.6-2.0.3-6-6.1
• Genus: \(2\)
• Quotient genus: \(0\)
• Group: \(C_6\)
• Signature: \([ 0; 3, 6, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$2$
Quotient genus:	$0$
Group name:	$C_6$
Group identifier:	$[6,2]$
Signature:	$[ 0; 3, 6, 6 ]$

Conjugacy classes for this refined passport:

$3, 5, 5$

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:

$E\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

2.6-2.0.3-6-6.1.1

	(1,2,3) (4,5,6)
	(1,5,3,4,2,6)
	(1,5,3,4,2,6)