# Properties

 Label 2.12-5.0.2-6-6.4 Genus $$2$$ Quotient genus $$0$$ Group $$C_2\times C_6$$ Signature $$[ 0; 2, 6, 6 ]$$ Generating Vectors $$1$$

# Related objects

## Family Information

 Genus: $2$ Quotient genus: $0$ Group name: $C_2\times C_6$ Group identifier: $[12,5]$ Signature: $[ 0; 2, 6, 6 ]$
 Conjugacy classes for this refined passport: $3, 8, 11$

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 4, 6 ]$.

 Jacobian variety group algebra decomposition: $E\times E$ Corresponding character(s): $6, 8$

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

2.12-5.0.2-6-6.4.1

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