Properties

Label 4.12-5.0.6-6-6.1
Genus \(4\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 6, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_2\times C_6$
Group identifier: $[12,5]$
Signature: $[ 0; 6, 6, 6 ]$
Conjugacy classes for this refined passport: $7, 9, 11$

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

Jacobian variety group algebra decomposition:$E\times E\times E\times E$
Corresponding character(s): $5, 6, 7, 8$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.12-5.0.6-6-6.1.1

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