Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_2^2\)
Signature \([ 0; 2, 2, 2, 2, 2, 2 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_2^2$
Group identifier: [4,2]
Signature: $[ 0; 2, 2, 2, 2, 2, 2 ]$
Conjugacy classes for this refined passport: 2, 2, 3, 3, 4, 4

Jacobian variety group algebra decomposition:$E\times E\times E$
Corresponding character(s): 2, 3, 4

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Equation(s) of curve(s) in this refined passport:
  $x^4 +y^4 +a_1x^2y^2 +a_2x^2 +a_3y^2 +1 = 0$

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.4-2.0.2-2-2-2-2-2.4.1

  (1,2) (3,4)
  (1,2) (3,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,4) (2,3)
  (1,4) (2,3)