Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_6\)
Signature \([ 0; 2, 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

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

The full automorphism group for this family is $D_6$ with signature $[ 0; 2, 2, 2, 6 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}$
Corresponding character(s): 2, 4

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.6-2.0.2-2-6-6.1.1

  (1,4) (2,5) (3,6)
  (1,4) (2,5) (3,6)
  (1,5,3,4,2,6)
  (1,6,2,4,3,5)