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Genus Dimension of the family Group order Hyperelliptic curves Full automorphism group
Quotient genus Signature Group identifier Cyclic trigonal curves
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Results (14 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
12.8-3.0.2-2-4-4-4-4-4.1 $12$ $D_4$ $8$ $4$ $[ 0; 2, 2, 4, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
12.8-3.0.2-2-2-2-2-4-4-4.1 $12$ $D_4$ $8$ $5$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-4-4-4.2 $12$ $D_4$ $8$ $5$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-4-4-4.3 $12$ $D_4$ $8$ $5$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.1 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.2 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.3 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.4 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.5 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.6 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.7 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.8 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.9 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.10 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
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