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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 (7 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
6.12-5.0.2-3-6-6.1 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-5.0.2-3-6-6.3 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$
6.12-5.0.2-3-6-6.4 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$
6.12-5.0.2-3-6-6.5 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$
6.12-5.0.2-3-6-6.2 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-5.0.2-3-6-6.6 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$
6.12-5.0.2-2-2-3-3.1 $6$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 2, 3, 3 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
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