Properties

Label 5.8-5.0.2-2-2-2-2-2.12
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^3\)
Signature \([ 0; 2, 2, 2, 2, 2, 2 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

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

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

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.8-5.0.2-2-2-2-2-2.12.1

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