Properties

Label 7.9-2.0.3-3-3-3-3.70
Genus \(7\)
Quotient genus \(0\)
Group \(C_3^2\)
Signature \([ 0; 3, 3, 3, 3, 3 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_3^2$
Group identifier: $[9,2]$
Signature: $[ 0; 3, 3, 3, 3, 3 ]$
Conjugacy classes for this refined passport: $5, 5, 5, 6, 7$

Jacobian variety group algebra decomposition:$E\times A_{3}\times A_{3}$
Corresponding character(s): $2, 5, 6$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):yes
Trigonal automorphism: (1,4,7) (2,5,8) (3,6,9)

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.9-2.0.3-3-3-3-3.70.1

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