Properties

Label 8.12-2.0.3-4-6-12.2
Genus \(8\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 3, 4, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 3, 4, 6, 12 ]$
Conjugacy classes for this refined passport: $3, 6, 7, 11$

Jacobian variety group algebra decomposition:$E\times E\times A_{4}\times A_{2}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.12-2.0.3-4-6-12.2.1

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