Properties

Label 7.8-2.0.2-4-4-4-4.15
Genus \(7\)
Quotient genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 2, 4, 4, 4, 4 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

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

Jacobian variety group algebra decomposition:$A_{2}\times A_{3}\times E\times E$
Corresponding character(s): $3, 4, 5, 6$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.8-2.0.2-4-4-4-4.15.1

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