Properties

Label 14.14-2.0.2-2-2-2-14-14.3
Genus \(14\)
Quotient genus \(0\)
Group \(C_{14}\)
Signature \([ 0; 2, 2, 2, 2, 14, 14 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_{14}$
Group identifier: $[14,2]$
Signature: $[ 0; 2, 2, 2, 2, 14, 14 ]$
Conjugacy classes for this refined passport: $2, 2, 2, 2, 11, 12$

Jacobian variety group algebra decomposition:$A_{2}\times A_{12}$

Other Data

Hyperelliptic curve(s):yes
Hyperelliptic involution: (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
Cyclic trigonal curve(s):no

Equation(s) of curve(s) in this refined passport:
  $y^2=x(x^{28}+a_{1}x^{21}+a_{2}x^{14}+a_{3}x^{7}+1)$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.14-2.0.2-2-2-2-14-14.3.1

  (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
  (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
  (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
  (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
  (1,13,4,9,7,12,3,8,6,11,2,14,5,10)
  (1,10,5,14,2,11,6,8,3,12,7,9,4,13)