Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 2, 2, 4, 4 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

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

Jacobian variety group algebra decomposition:$E\times A_{2}$
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.

3.8-2.0.2-2-4-4.4.1

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