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: 2, 9, 12

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.

2.12-5.0.2-6-6.1.1

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