Properties

Label 4.6-2.0.2-2-3-3-3.1
Genus \(4\)
Quotient genus \(0\)
Group \(C_6\)
Signature \([ 0; 2, 2, 3, 3, 3 ]\)
Generating Vectors \(1\)

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Family Information

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

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

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.

4.6-2.0.2-2-3-3-3.1.1

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