Family Information
Genus: | $4$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_6$ |
Group identifier: | $[12,5]$ |
Signature: | $[ 0; 2, 2, 3, 6 ]$ |
Conjugacy classes for this refined passport: | $2, 3, 5, 12$ |
Jacobian variety group algebra decomposition: | $E\times E\times A_{2}$ |
Corresponding character(s): | $6, 7, 8$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) (10,11,12) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.12-5.0.2-2-3-6.1.1
(1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
(1,7) (2,8) (3,9) (4,10) (5,11) (6,12) | |
(1,2,3) (4,5,6) (7,8,9) (10,11,12) | |
(1,12,2,10,3,11) (4,9,5,7,6,8) |