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Note: Search results may be incomplete due to uncomputed quantities: hyperelliptic (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 (29 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
4.2-1.0.2-2-2-2-2-2-2-2-2-2.1 $4$ $C_2$ $2$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2),\ldots$
4.4-1.0.2-2-2-2-4-4.1 $4$ $C_4$ $4$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4),\ldots$
4.4-2.0.2-2-2-2-2-2-2.1 $4$ $C_2^2$ $4$ $4$ $[ 0; 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
4.4-2.0.2-2-2-2-2-2-2.4 $4$ $C_2^2$ $4$ $4$ $[ 0; 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
4.4-2.0.2-2-2-2-2-2-2.6 $4$ $C_2^2$ $4$ $4$ $[ 0; 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
4.6-2.0.2-2-2-3-6.1 $4$ $C_6$ $6$ $2$ $[ 0; 2, 2, 2, 3, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
4.6-2.0.2-2-2-3-6.2 $4$ $C_6$ $6$ $2$ $[ 0; 2, 2, 2, 3, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
4.8-4.0.2-4-4-4.1 $4$ $Q_8$ $8$ $1$ $[ 0; 2, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
4.8-3.0.2-2-2-2-4.1 $4$ $D_4$ $8$ $2$ $[ 0; 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
4.16-7.0.2-2-2-8.1 $4$ $D_8$ $16$ $1$ $[ 0; 2, 2, 2, 8 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
4.16-7.0.2-2-2-8.2 $4$ $D_8$ $16$ $1$ $[ 0; 2, 2, 2, 8 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
4.18-2.0.2-9-18.2 $4$ $C_{18}$ $18$ $0$ $[ 0; 2, 9, 18 ]$ $(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$
4.18-2.0.2-9-18.4 $4$ $C_{18}$ $18$ $0$ $[ 0; 2, 9, 18 ]$ $(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$
4.18-2.0.2-9-18.3 $4$ $C_{18}$ $18$ $0$ $[ 0; 2, 9, 18 ]$ $(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$
4.18-2.0.2-9-18.1 $4$ $C_{18}$ $18$ $0$ $[ 0; 2, 9, 18 ]$ $(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$
4.18-2.0.2-9-18.5 $4$ $C_{18}$ $18$ $0$ $[ 0; 2, 9, 18 ]$ $(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$
4.18-2.0.2-9-18.6 $4$ $C_{18}$ $18$ $0$ $[ 0; 2, 9, 18 ]$ $(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17)(9,18),\ldots$
4.20-4.0.2-2-2-5.1 $4$ $D_{10}$ $20$ $1$ $[ 0; 2, 2, 2, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$
4.20-4.0.2-2-2-5.2 $4$ $D_{10}$ $20$ $1$ $[ 0; 2, 2, 2, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$
4.24-3.0.3-4-6.2 $4$ $\SL(2,3)$ $24$ $0$ $[ 0; 3, 4, 6 ]$ $(1,17,9)\cdots(8,20,14),\ldots$
4.24-3.0.3-4-6.1 $4$ $\SL(2,3)$ $24$ $0$ $[ 0; 3, 4, 6 ]$ $(1,9,17)\cdots(8,14,20),\ldots$
4.32-19.0.2-4-16.3 $4$ $\SD_{32}$ $32$ $0$ $[ 0; 2, 4, 16 ]$ $(1,9)\cdots(24,30),\ldots$
4.32-19.0.2-4-16.4 $4$ $\SD_{32}$ $32$ $0$ $[ 0; 2, 4, 16 ]$ $(1,9)\cdots(24,30),\ldots$
4.32-19.0.2-4-16.1 $4$ $\SD_{32}$ $32$ $0$ $[ 0; 2, 4, 16 ]$ $(1,9)\cdots(24,30),\ldots$
4.32-19.0.2-4-16.2 $4$ $\SD_{32}$ $32$ $0$ $[ 0; 2, 4, 16 ]$ $(1,9)\cdots(24,30),\ldots$
4.40-8.0.2-4-10.2 $4$ $C_5:D_4$ $40$ $0$ $[ 0; 2, 4, 10 ]$ $(1,21)\cdots(20,32),\ldots$
4.40-8.0.2-4-10.1 $4$ $C_5:D_4$ $40$ $0$ $[ 0; 2, 4, 10 ]$ $(1,21)\cdots(20,32),\ldots$
4.40-8.0.2-4-10.3 $4$ $C_5:D_4$ $40$ $0$ $[ 0; 2, 4, 10 ]$ $(1,21)\cdots(20,32),\ldots$
4.40-8.0.2-4-10.4 $4$ $C_5:D_4$ $40$ $0$ $[ 0; 2, 4, 10 ]$ $(1,21)\cdots(20,32),\ldots$
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