Properties

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: 7, 9, 9

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

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times E$
Corresponding character(s): 2, 5, 6, 7

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.12-2.0.6-12-12.1.1

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