Properties

Label 4.18-5.0.3-6-6.9
Genus \(4\)
Quotient genus \(0\)
Group \(C_3\times C_6\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_3\times C_6$
Group identifier: $[18,5]$
Signature: $[ 0; 3, 6, 6 ]$
Conjugacy classes for this refined passport: $5, 15, 17$

The full automorphism group for this family is $C_6\times S_3$ with signature $[ 0; 2, 6, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times E$
Corresponding character(s): $4, 10, 11, 12$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.18-5.0.3-6-6.9.1

  (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18)
  (1,14,9,10,5,18) (2,15,7,11,6,16) (3,13,8,12,4,17)
  (1,15,8,10,6,17) (2,13,9,11,4,18) (3,14,7,12,5,16)