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: | $4, 4, 9, 10$ |
The full automorphism group for this family is $C_2^2\times S_3$ 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.
5.12-5.0.2-2-6-6.12.1
| (1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
| (1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) | |
| (1,9,2,7,3,8) (4,12,5,10,6,11) |