Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(\SL(2,3)\)
Signature \([ 0; 3, 3, 6 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 3
Quotient Genus: 0
Group name: $\SL(2,3)$
Group identifier: [24,3]
Signature: $[ 0; 3, 3, 6 ]$
Conjugacy classes for this refined passport: 3, 3, 6

The full automorphism group for this family is $\SL(2,3):C_2$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}$
Corresponding character(s): 2, 4

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.24-3.0.3-3-6.1.1

  (1,9,17) (2,10,18) (3,15,21) (4,16,22) (5,11,23) (6,12,24) (7,13,19) (8,14,20)
  (1,13,24) (2,14,23) (3,11,19) (4,12,20) (5,16,17) (6,15,18) (7,10,22) (8,9,21)
  (1,12,22,2,11,21) (3,13,17,4,14,18) (5,9,20,6,10,19) (7,16,23,8,15,24)