Family Information
| Genus: | $4$ |
| Quotient genus: | $1$ |
| Group name: | $C_4$ |
| Group identifier: | $[4,1]$ |
| Signature: | $[ 1; 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 4$ |
The full automorphism group for this family is $D_4$ with signature $[ 0; 2, 2, 2, 2, 4 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.4-1.1.4-4.1.1
| (1,2) (3,4) | |
| (1,3,2,4) | |
| (1,3,2,4) | |
| (1,4,2,3) |