# Properties

 Label 11.4-1.0.2-2-2-2-2-2-2-2-2-2-2-4-4.2 Genus $$11$$ Quotient genus $$0$$ Group $$C_4$$ Signature $$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$$ Generating Vectors $$1$$

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## Family Information

 Genus: $11$ Quotient genus: $0$ Group name: $C_4$ Group identifier: $[4,1]$ Signature: $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
 Conjugacy classes for this refined passport: $2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4$

 Jacobian variety group algebra decomposition: $A_{11}$

## Other Data

 Hyperelliptic curve(s): yes Hyperelliptic involution: (1,2) (3,4) Cyclic trigonal curve(s): no

 Equation(s) of curve(s) in this refined passport:
 $y^2=x(x^{22}+a_{1}x^{20}+a_{2}x^{18}+a_{3}x^{16}+a_{4}x^{14}+a_{5}x^{12}+a_{6}x^{10}+a_{7}x^{8}+a_{8}x^{6}+a_{9}x^{4}+a_{10}x^{2}+1)$

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.4-1.0.2-2-2-2-2-2-2-2-2-2-2-4-4.2.1

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