One refined passport of genus 3 with automorphism group $C_3$

• Label: 3.3-1.0.3-3-3-3-3.2
• Genus: \(3\)
• Quotient genus: \(0\)
• Group: \(C_3\)
• Signature: \([ 0; 3, 3, 3, 3, 3 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$3$
Quotient genus:	$0$
Group name:	$C_3$
Group identifier:	$[3,1]$
Signature:	$[ 0; 3, 3, 3, 3, 3 ]$

Conjugacy classes for this refined passport:

$2, 3, 3, 3, 3$

Jacobian variety group algebra decomposition:

$A_{3}$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	yes
Trigonal automorphism:	(1,2,3)

Equation(s) of curve(s) in this refined passport:

$y^3 = x (x-1)(x-a_1)(x-a_2)$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.3-1.0.3-3-3-3-3.2.1

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