Properties

Label 11.48-23.0.2-24-24.11
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: $4, 35, 42$

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.

11.48-23.0.2-24-24.11.1

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