Properties

Label 5.12-5.0.2-2-6-6.1
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: $2, 2, 9, 10$

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.

5.12-5.0.2-2-6-6.1.1

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