Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2\times C_{12}\)
Signature \([ 0; 2, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2\times C_{12}$
Group identifier: [24,9]
Signature: $[ 0; 2, 12, 12 ]$
Conjugacy classes for this refined passport: 3, 17, 24

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): 4, 10, 12, 14

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.24-9.0.2-12-12.1.1

  (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24)
  (1,15,6,14,3,17,2,16,5,13,4,18) (7,21,12,20,9,23,8,22,11,19,10,24)
  (1,24,4,19,5,22,2,23,3,20,6,21) (7,18,10,13,11,16,8,17,9,14,12,15)