Properties

Label 6.12-5.0.2-3-6-6.6
Genus \(6\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_2\times C_6$
Group identifier: $[12,5]$
Signature: $[ 0; 2, 3, 6, 6 ]$
Conjugacy classes for this refined passport: $4, 6, 8, 10$

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}$
Corresponding character(s): $5, 6, 7, 8$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):yes
Trigonal automorphism: (1,2,3) (4,5,6) (7,8,9) (10,11,12)

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.12-5.0.2-3-6-6.6.1

  (1,10) (2,11) (3,12) (4,7) (5,8) (6,9)
  (1,3,2) (4,6,5) (7,9,8) (10,12,11)
  (1,6,2,4,3,5) (7,12,8,10,9,11)
  (1,9,2,7,3,8) (4,12,5,10,6,11)