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: | $2, 4, 8$ |
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.
2.10-2.0.2-5-10.2.1
(1,6) (2,7) (3,8) (4,9) (5,10) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,9,2,10,3,6,4,7,5,8) |