Properties

Label 5.12-2.0.6-12-12.4
Genus \(5\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 6, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 6, 12, 12 ]$
Conjugacy classes for this refined passport: $8, 12, 12$

The full automorphism group for this family is $D_6:C_4$ with signature $[ 0; 2, 4, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.12-2.0.6-12-12.4.1

  (1,6,3,2,5,4) (7,12,9,8,11,10)
  (1,12,4,7,5,10,2,11,3,8,6,9)
  (1,12,4,7,5,10,2,11,3,8,6,9)