Properties

Label 8.12-2.0.3-3-12-12.1
Genus \(8\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 3, 3, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 3, 3, 12, 12 ]$
Conjugacy classes for this refined passport: $3, 3, 10, 12$

The full automorphism group for this family is $C_3\times D_4$ with signature $[ 0; 2, 2, 3, 12 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.12-2.0.3-3-12-12.1.1

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