Properties

Label 4.24-10.0.2-6-12.4
Genus \(4\)
Quotient genus \(0\)
Group \(C_3\times D_4\)
Signature \([ 0; 2, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_3\times D_4$
Group identifier: $[24,10]$
Signature: $[ 0; 2, 6, 12 ]$
Conjugacy classes for this refined passport: $4, 11, 14$

The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E^{2}$
Corresponding character(s): $5, 10, 14$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.24-10.0.2-6-12.4.1

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