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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 (14 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
2.2-1.0.2-2-2-2-2-2.1 $2$ $C_2$ $2$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2),\ldots$
2.4-2.0.2-2-2-2-2.2 $2$ $C_2^2$ $4$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
2.4-2.0.2-2-2-2-2.1 $2$ $C_2^2$ $4$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
2.4-2.0.2-2-2-2-2.3 $2$ $C_2^2$ $4$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
2.8-3.0.2-2-2-4.1 $2$ $D_4$ $8$ $1$ $[ 0; 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
2.10-2.0.2-5-10.1 $2$ $C_{10}$ $10$ $0$ $[ 0; 2, 5, 10 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
2.10-2.0.2-5-10.3 $2$ $C_{10}$ $10$ $0$ $[ 0; 2, 5, 10 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
2.10-2.0.2-5-10.4 $2$ $C_{10}$ $10$ $0$ $[ 0; 2, 5, 10 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
2.10-2.0.2-5-10.2 $2$ $C_{10}$ $10$ $0$ $[ 0; 2, 5, 10 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
2.12-4.0.2-2-2-3.1 $2$ $D_6$ $12$ $1$ $[ 0; 2, 2, 2, 3 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
2.24-8.0.2-4-6.2 $2$ $C_3:D_4$ $24$ $0$ $[ 0; 2, 4, 6 ]$ $(1,13)\cdots(12,20),\ldots$
2.24-8.0.2-4-6.1 $2$ $C_3:D_4$ $24$ $0$ $[ 0; 2, 4, 6 ]$ $(1,13)\cdots(12,20),\ldots$
2.48-29.0.2-3-8.2 $2$ $\GL(2,3)$ $48$ $0$ $[ 0; 2, 3, 8 ]$ $(1,25)\cdots(24,39),\ldots$
2.48-29.0.2-3-8.1 $2$ $\GL(2,3)$ $48$ $0$ $[ 0; 2, 3, 8 ]$ $(1,25)\cdots(24,39),\ldots$
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