Properties

Label 11.48-23.0.2-24-24.16
Genus \(11\)
Quotient genus \(0\)
Group \(C_2\times C_{24}\)
Signature \([ 0; 2, 24, 24 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $11$
Quotient genus: $0$
Group name: $C_2\times C_{24}$
Group identifier: $[48,23]$
Signature: $[ 0; 2, 24, 24 ]$
Conjugacy classes for this refined passport: $4, 40, 45$

The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 4, 24 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times E\times E\times A_{4}\times A_{2}\times E$
Corresponding character(s): $4, 6, 18, 20, 22, 26$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.48-23.0.2-24-24.16.1

  (1,14) (2,13) (3,16) (4,15) (5,18) (6,17) (7,20) (8,19) (9,22) (10,21) (11,24) (12,23) (25,38) (26,37) (27,40) (28,39) (29,42) (30,41) (31,44) (32,43) (33,46) (34,45) (35,48) (36,47)
  (1,36,8,26,10,31,3,33,5,28,12,30,2,35,7,25,9,32,4,34,6,27,11,29) (13,48,20,38,22,43,15,45,17,40,24,42,14,47,19,37,21,44,16,46,18,39,23,41)
  (1,42,11,40,6,45,4,43,9,38,7,48,2,41,12,39,5,46,3,44,10,37,8,47) (13,30,23,28,18,33,16,31,21,26,19,36,14,29,24,27,17,34,15,32,22,25,20,35)