Properties

Label 4.9-2.0.3-3-3-3.15
Genus \(4\)
Quotient genus \(0\)
Group \(C_3^2\)
Signature \([ 0; 3, 3, 3, 3 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_3^2$
Group identifier: $[9,2]$
Signature: $[ 0; 3, 3, 3, 3 ]$
Conjugacy classes for this refined passport: $3, 3, 6, 9$

The full automorphism group for this family is $S_3^2$ with signature $[ 0; 2, 2, 2, 3 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.9-2.0.3-3-3-3.15.1

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