Properties

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

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Family Information

Genus: 3
Quotient Genus: 1
Group name: $C_2^2$
Group identifier: [4,2]
Signature: $[ 1; 2, 2 ]$
Conjugacy classes for this refined passport: 3, 3

The full automorphism group for this family is $C_2^3$ with signature $[ 0; 2, 2, 2, 2, 2 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E$
Corresponding character(s): 1, 3, 4

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.4-2.1.2-2.2.1

  (1,2) (3,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,3) (2,4)