Properties

Label 3.3-1.1.3-3.1
Genus \(3\)
Quotient genus \(1\)
Group \(C_3\)
Signature \([ 1; 3, 3 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: $3$
Quotient genus: $1$
Group name: $C_3$
Group identifier: $[3,1]$
Signature: $[ 1; 3, 3 ]$
Conjugacy classes for this refined passport: $2, 3$

The full automorphism group for this family is $S_3$ with signature $[ 0; 2, 2, 2, 2, 3 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}$
Corresponding character(s): $1, 2$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.3-1.1.3-3.1.1

  (1,2,3)
  Id(G)
  (1,2,3)
  (1,3,2)