Properties

Label 11.48-23.0.2-24-24.13
Genus \(11\)
Quotient genus \(0\)
Group \(C_2\times C_{24}\)
Signature \([ 0; 2, 24, 24 ]\)
Generating Vectors \(1\)

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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: $4, 37, 48$

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.

11.48-23.0.2-24-24.13.1

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