Properties

Label 4.12-5.0.2-2-3-6.1
Genus \(4\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 2, 3, 6 ]\)
Generating Vectors \(1\)

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Family Information

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

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

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.

4.12-5.0.2-2-3-6.1.1

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