Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_6$ |
| Group identifier: | $[12,5]$ |
| Signature: | $[ 0; 2, 2, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 11, 12$ |
The full automorphism group for this family is $C_2\times D_6$ with signature $[ 0; 2, 2, 2, 6 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}$ |
| Corresponding character(s): | $4, 6, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.12-5.0.2-2-6-6.2.1
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,11,3,10,2,12) (4,8,6,7,5,9) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) |