Properties

Label 11.48-23.0.2-24-24.1
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: $3, 33, 48$

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): $3, 6, 18, 19, 22, 26$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.48-23.0.2-24-24.1.1

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