Properties

Label 5.8-2.0.2-2-2-4-4.2
Genus \(5\)
Quotient genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 2, 2, 2, 4, 4 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2\times C_4$
Group identifier: $[8,2]$
Signature: $[ 0; 2, 2, 2, 4, 4 ]$
Conjugacy classes for this refined passport: $2, 2, 3, 6, 7$

Jacobian variety group algebra decomposition:$A_{2}\times A_{3}$
Corresponding character(s): $3, 4$

Other Data

Hyperelliptic curve(s):yes
Hyperelliptic involution: (1,2) (3,4) (5,6) (7,8)
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.8-2.0.2-2-2-4-4.2.1

  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,6,2,5) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)