Properties

Label 5.12-5.0.2-2-6-6.6
Genus \(5\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 2, 6, 6 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

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: $2, 4, 8, 11$

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 2, 2, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}$
Corresponding character(s): $4, 6, 7, 8$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.12-5.0.2-2-6-6.6.1

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