Properties

Label 2.6-2.0.3-6-6.2
Genus \(2\)
Quotient genus \(0\)
Group \(C_6\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $2$
Quotient genus: $0$
Group name: $C_6$
Group identifier: $[6,2]$
Signature: $[ 0; 3, 6, 6 ]$
Conjugacy classes for this refined passport: $4, 6, 6$

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

2.6-2.0.3-6-6.2.1

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