Properties

Label 5.16-10.0.2-2-4-4.24
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^2\times C_4\)
Signature \([ 0; 2, 2, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2^2\times C_4$
Group identifier: $[16,10]$
Signature: $[ 0; 2, 2, 4, 4 ]$
Conjugacy classes for this refined passport: $4, 6, 12, 13$

The full automorphism group for this family is $C_4:D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times E$
Corresponding character(s): $6, 7, 8, 12$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.16-10.0.2-2-4-4.24.1

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