Properties

Label 5.24-14.0.2-2-2-6.6
Genus \(5\)
Quotient genus \(0\)
Group \(C_2\times D_6\)
Signature \([ 0; 2, 2, 2, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2\times D_6$
Group identifier: $[24,14]$
Signature: $[ 0; 2, 2, 2, 6 ]$
Conjugacy classes for this refined passport: $3, 5, 8, 10$

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}$
Corresponding character(s): $3, 9, 12$

Other Data

Hyperelliptic curve(s):yes
Hyperelliptic involution: (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24)
Cyclic trigonal curve(s):no

Equation(s) of curve(s) in this refined passport:
  $y^2=x^{12}+a_1x^{6}+1$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.24-14.0.2-2-2-6.6.1

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