Family Information
Genus: | $4$ |
Quotient genus: | $0$ |
Group name: | $C_{15}$ |
Group identifier: | $[15,1]$ |
Signature: | $[ 0; 3, 5, 15 ]$ |
Conjugacy classes for this refined passport: | $2, 4, 15$ |
Jacobian variety group algebra decomposition: | $A_{4}$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) |
Equation(s) of curve(s) in this refined passport: |
$y^3 = x^5-1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.15-1.0.3-5-15.1.1
(1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) | |
(1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) | |
(1,15,9,3,12,6,5,14,8,2,11,10,4,13,7) |