Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_6$ |
| Group identifier: | $[6,2]$ |
| Signature: | $[ 0; 2, 3, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $2, 4, 4, 6$ |
| Jacobian variety group algebra decomposition: | $E\times A_{2}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,2,3) (4,5,6) |
| Equation(s) of curve(s) in this refined passport: |
| $y^3 = x (x-1)(x-a_1 +1)(x-a_1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.6-2.0.2-3-3-6.2.1
| (1,4) (2,5) (3,6) | |
| (1,3,2) (4,6,5) | |
| (1,3,2) (4,6,5) | |
| (1,6,2,4,3,5) |