Properties

Label 10.14-2.0.2-2-2-7-14.3
Genus \(10\)
Quotient genus \(0\)
Group \(C_{14}\)
Signature \([ 0; 2, 2, 2, 7, 14 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_{14}$
Group identifier: $[14,2]$
Signature: $[ 0; 2, 2, 2, 7, 14 ]$
Conjugacy classes for this refined passport: $2, 2, 2, 5, 13$

Jacobian variety group algebra decomposition:$E\times A_{9}$

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:
  $y^2=x^{21}+a_{1}x^{14}+a_{2}x^{7}+1$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.14-2.0.2-2-2-7-14.3.1

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