Properties

Label 3.16-2.0.4-4-4.12
Genus \(3\)
Quotient genus \(0\)
Group \(C_4^2\)
Signature \([ 0; 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $3$
Quotient genus: $0$
Group name: $C_4^2$
Group identifier: $[16,2]$
Signature: $[ 0; 4, 4, 4 ]$
Conjugacy classes for this refined passport: $7, 12, 16$

The full automorphism group for this family is $C_4^2:S_3$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E$
Corresponding character(s): $6, 7, 10$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.16-2.0.4-4-4.12.1

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