Family Information
| Genus: | $2$ |
| Quotient genus: | $0$ |
| Group name: | $C_{10}$ |
| Group identifier: | $[10,2]$ |
| Signature: | $[ 0; 2, 5, 10 ]$ |
| Conjugacy classes for this refined passport: | $2, 5, 9$ |
| Jacobian variety group algebra decomposition: | $A_{2}$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,6) (2,7) (3,8) (4,9) (5,10) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x^{5}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
2.10-2.0.2-5-10.3.1
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,4,2,5,3) (6,9,7,10,8) | |
| (1,8,5,7,4,6,3,10,2,9) |