Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 2, 2, 2, 4, 4 ]\)
Generating Vectors \(1\)

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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, 3, 3, 7, 7

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

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.8-2.0.2-2-2-4-4.7.1

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