Properties

Label 6.6-2.0.3-3-3-6-6.3
Genus \(6\)
Quotient genus \(0\)
Group \(C_6\)
Signature \([ 0; 3, 3, 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_6$
Group identifier: $[6,2]$
Signature: $[ 0; 3, 3, 3, 6, 6 ]$
Conjugacy classes for this refined passport: $3, 4, 4, 6, 6$

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):yes
Trigonal automorphism: (1,2,3) (4,5,6)

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.6-2.0.3-3-3-6-6.3.1

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