Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_4$ |
| Group identifier: | $[8,2]$ |
| Signature: | $[ 0; 2, 2, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $4, 4, 7, 8$ |
The full automorphism group for this family is $C_2\times D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E$ |
| Corresponding character(s): | $4, 6$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.8-2.0.2-2-4-4.12.1
| (1,4) (2,3) (5,8) (6,7) | |
| (1,4) (2,3) (5,8) (6,7) | |
| (1,7,2,8) (3,5,4,6) | |
| (1,8,2,7) (3,6,4,5) |