Properties

Label 7.24-9.0.4-6-12.1
Genus \(7\)
Quotient genus \(0\)
Group \(C_2\times C_{12}\)
Signature \([ 0; 4, 6, 12 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_2\times C_{12}$
Group identifier: $[24,9]$
Signature: $[ 0; 4, 6, 12 ]$
Conjugacy classes for this refined passport: $7, 13, 24$

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}\times E$
Corresponding character(s): $3, 10, 11, 12, 13$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.24-9.0.4-6-12.1.1

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