Family Information
Genus: | $6$ |
Quotient genus: | $0$ |
Group name: | $C_6$ |
Group identifier: | $[6,2]$ |
Signature: | $[ 0; 2, 2, 2, 2, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 2, 5, 6$ |
Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,4) (2,5) (3,6) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x(x^{12}+a_{1}x^{9}+a_{2}x^{6}+a_{3}x^{3}+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.6-2.0.2-2-2-2-6-6.1.1
(1,4) (2,5) (3,6) | |
(1,4) (2,5) (3,6) | |
(1,4) (2,5) (3,6) | |
(1,4) (2,5) (3,6) | |
(1,5,3,4,2,6) | |
(1,6,2,4,3,5) |