# Properties

 Label 15.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1 Genus $$15$$ Quotient genus $$0$$ Group $$C_2$$ Signature $$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$$ Generating Vectors $$1$$

# Related objects

## Family Information

 Genus: $15$ Quotient genus: $0$ Group name: $C_2$ Group identifier: $[2,1]$ Signature: $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
 Conjugacy classes for this refined passport: $2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2$

 Jacobian variety group algebra decomposition: $A_{15}$

## Other Data

 Hyperelliptic curve(s): yes Hyperelliptic involution: (1,2) Cyclic trigonal curve(s): no

 Equation(s) of curve(s) in this refined passport:
 $y^2=x(x^{30}+a_{1}x^{29}+a_{2}x^{28}+a_{3}x^{27}+a_{4}x^{26}+a_{5}x^{25}+a_{6}x^{24}+a_{7}x^{23}+a_{8}x^{22}+a_{9}x^{21}+a_{10}x^{20}+a_{11}x^{19}+a_{12}x^{18}+a_{13}x^{17}+a_{14}x^{16}+a_{15}x^{15}+a_{16}x^{14}+a_{17}x^{13}+a_{18}x^{12}+a_{19}x^{11}+a_{20}x^{10}+a_{21}x^{9}+a_{22}x^{8}+a_{23}x^{7}+a_{24}x^{6}+a_{25}x^{5}+a_{26}x^{4}+a_{27}x^{3}+a_{28}x^{2}+a_{29}x + 1)$

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1.1

 (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2) (1,2)