One refined passport of genus 2 with automorphism group $C_2$

• Label: 2.2-1.1.2-2.1
• Genus: \(2\)
• Quotient genus: \(1\)
• Group: \(C_2\)
• Signature: \([ 1; 2, 2 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$2$
Quotient genus:	$1$
Group name:	$C_2$
Group identifier:	$[2,1]$
Signature:	$[ 1; 2, 2 ]$

Conjugacy classes for this refined passport:

$2, 2$

The full automorphism group for this family is $C_2^2$ with signature $[ 0; 2, 2, 2, 2, 2 ]$.

Jacobian variety group algebra decomposition:

$E\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

2.2-1.1.2-2.1.1

	(1,2)
	Id(G)
	(1,2)
	(1,2)