Properties

Genus \(3\)
Quotient Genus \(1\)
Group \(C_2\)
Signature \([ 1; 2, 2, 2, 2 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 1
Group name: $C_2$
Group identifier: [2,1]
Signature: $[ 1; 2, 2, 2, 2 ]$
Conjugacy classes for this refined passport: 2, 2, 2, 2

The full automorphism group for this family is $C_2\times D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.2-1.1.2-2-2-2.1.1

  (1,2)
  Id(G)
  (1,2)
  (1,2)
  (1,2)
  (1,2)