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: 3, 4, 5, 5

The full automorphism group for this family is $D_4:C_2$ with signature $[ 0; 2, 2, 2, 4 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.8-2.0.2-2-4-4.7.1

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