Properties

Label 3.12-2.0.3-4-12.4
Genus \(3\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 3, 4, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $3$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 3, 4, 12 ]$
Conjugacy classes for this refined passport: $4, 6, 9$

The full automorphism group for this family is $\SL(2,3):C_2$ with signature $[ 0; 2, 3, 12 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.12-2.0.3-4-12.4.1

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