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Note: Search results may be incomplete due to uncomputed quantities: cyclic_trigonal (6913 objects)

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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
12.6-1.0.2-2-3-3-3-3-3-3-3.1 $12$ $S_3$ $6$ $6$ $[ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3 ]$ $(1,4)(2,6)(3,5),\ldots$
12.12-4.0.2-2-3-3-3-6.1 $12$ $D_6$ $12$ $3$ $[ 0; 2, 2, 3, 3, 3, 6 ]$ $(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$
12.18-1.0.2-2-3-3-9.1 $12$ $D_9$ $18$ $2$ $[ 0; 2, 2, 3, 3, 9 ]$ $(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
12.18-1.0.2-2-3-3-9.2 $12$ $D_9$ $18$ $2$ $[ 0; 2, 2, 3, 3, 9 ]$ $(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
12.18-1.0.2-2-3-3-9.3 $12$ $D_9$ $18$ $2$ $[ 0; 2, 2, 3, 3, 9 ]$ $(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
12.36-4.0.2-2-3-18.2 $12$ $D_{18}$ $36$ $1$ $[ 0; 2, 2, 3, 18 ]$ $(1,19)\cdots(18,33),\ldots$
12.36-4.0.2-2-3-18.3 $12$ $D_{18}$ $36$ $1$ $[ 0; 2, 2, 3, 18 ]$ $(1,19)\cdots(18,33),\ldots$
12.36-4.0.2-2-3-18.1 $12$ $D_{18}$ $36$ $1$ $[ 0; 2, 2, 3, 18 ]$ $(1,19)\cdots(18,33),\ldots$
12.42-5.0.2-2-3-7.2 $12$ $D_{21}$ $42$ $1$ $[ 0; 2, 2, 3, 7 ]$ $(1,22)\cdots(21,30),\ldots$
12.42-5.0.2-2-3-7.3 $12$ $D_{21}$ $42$ $1$ $[ 0; 2, 2, 3, 7 ]$ $(1,22)\cdots(21,30),\ldots$
12.42-5.0.2-2-3-7.1 $12$ $D_{21}$ $42$ $1$ $[ 0; 2, 2, 3, 7 ]$ $(1,22)\cdots(21,30),\ldots$
12.84-8.0.2-6-14.1 $12$ $S_3\times D_7$ $84$ $0$ $[ 0; 2, 6, 14 ]$ $(1,64)\cdots(42,51),\ldots$
12.84-8.0.2-6-14.2 $12$ $S_3\times D_7$ $84$ $0$ $[ 0; 2, 6, 14 ]$ $(1,64)\cdots(42,51),\ldots$
12.84-8.0.2-6-14.3 $12$ $S_3\times D_7$ $84$ $0$ $[ 0; 2, 6, 14 ]$ $(1,64)\cdots(42,51),\ldots$
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