Properties

Label 5.12-5.0.2-2-6-6.7
Genus \(5\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2\times C_6$
Group identifier: $[12,5]$
Signature: $[ 0; 2, 2, 6, 6 ]$
Conjugacy classes for this refined passport: $3, 3, 7, 8$

The full automorphism group for this family is $C_2^2\times S_3$ with signature $[ 0; 2, 2, 2, 6 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}$
Corresponding character(s): $4, 6, 8$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.12-5.0.2-2-6-6.7.1

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