Properties

Label 6.24-2.0.2-24-24.4
Genus \(6\)
Quotient genus \(0\)
Group \(C_{24}\)
Signature \([ 0; 2, 24, 24 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_{24}$
Group identifier: $[24,2]$
Signature: $[ 0; 2, 24, 24 ]$
Conjugacy classes for this refined passport: $2, 22, 23$

The full automorphism group for this family is $C_{24}:C_2$ with signature $[ 0; 2, 4, 24 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.24-2.0.2-24-24.4.1

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