Properties

Genus \(2\)
Quotient Genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 6, 6 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 2
Quotient Genus: 0
Group name: $C_2\times C_6$
Group identifier: [12,5]
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: 4, 7, 10

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E$
Corresponding character(s): 6, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.12-5.0.2-6-6.5.1

  (1,10) (2,11) (3,12) (4,7) (5,8) (6,9)
  (1,5,3,4,2,6) (7,11,9,10,8,12)
  (1,9,2,7,3,8) (4,12,5,10,6,11)