Properties

Genus \(4\)
Quotient Genus \(1\)
Group \(C_6\)
Signature \([ 1; 2, 2 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 1
Group name: $C_6$
Group identifier: [6,2]
Signature: $[ 1; 2, 2 ]$
Conjugacy classes for this refined passport: 2, 2

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

Jacobian variety group algebra decomposition:$E\times E\times A_{2}$
Corresponding character(s): 1, 2, 4

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.6-2.1.2-2.1.1

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