Family Information
Genus: | $14$ |
Quotient genus: | $0$ |
Group name: | $C_2$ |
Group identifier: | $[2,1]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2$ |
Jacobian variety group algebra decomposition: | $A_{14}$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,2) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x(x^{28}+a_{1}x^{27}+a_{2}x^{26}+a_{3}x^{25}+a_{4}x^{24}+a_{5}x^{23}+a_{6}x^{22}+a_{7}x^{21}+a_{8}x^{20}+a_{9}x^{19}+a_{10}x^{18}+a_{11}x^{17}+a_{12}x^{16}+a_{13}x^{15}+a_{14}x^{14}+a_{15}x^{13}+a_{16}x^{12}+a_{17}x^{11}+a_{18}x^{10}+a_{19}x^{9}+a_{20}x^{8}+a_{21}x^{7}+a_{22}x^{6}+a_{23}x^{5}+a_{24}x^{4}+a_{25}x^{3}+a_{26}x^{2}+a_{27}x + 1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1.1
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