↑

Learn more

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

Refine search

Genus Dimension of the family Group order Hyperelliptic curves Full automorphism group
Quotient genus Signature Group identifier Cyclic trigonal curves
Sort order Select

Results (43 matches)

  displayed columns for results
Refined passport label Genus Group Group order Dimension Signature Generating vectors
6.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.1 $6$ $C_2$ $2$ $11$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2),\ldots$
6.4-1.0.2-2-2-2-2-2-4-4.1 $6$ $C_4$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4),\ldots$
6.4-2.0.2-2-2-2-2-2-2-2-2.10 $6$ $C_2^2$ $4$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
6.4-2.0.2-2-2-2-2-2-2-2-2.7 $6$ $C_2^2$ $4$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
6.4-2.0.2-2-2-2-2-2-2-2-2.1 $6$ $C_2^2$ $4$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
6.6-2.0.2-2-2-2-6-6.1 $6$ $C_6$ $6$ $3$ $[ 0; 2, 2, 2, 2, 6, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
6.8-1.0.2-2-2-8-8.2 $6$ $C_8$ $8$ $2$ $[ 0; 2, 2, 2, 8, 8 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
6.8-4.0.2-2-4-4-4.1 $6$ $Q_8$ $8$ $2$ $[ 0; 2, 2, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
6.8-1.0.2-2-2-8-8.1 $6$ $C_8$ $8$ $2$ $[ 0; 2, 2, 2, 8, 8 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
6.8-3.0.2-2-2-2-2-4.1 $6$ $D_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
6.12-1.0.2-4-4-6.1 $6$ $C_3:C_4$ $12$ $1$ $[ 0; 2, 4, 4, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-4.0.2-2-2-2-6.1 $6$ $D_6$ $12$ $2$ $[ 0; 2, 2, 2, 2, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.16-8.0.2-2-4-8.2 $6$ $\SD_{16}$ $16$ $1$ $[ 0; 2, 2, 4, 8 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
6.16-8.0.2-2-4-8.1 $6$ $\SD_{16}$ $16$ $1$ $[ 0; 2, 2, 4, 8 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
6.24-6.0.2-2-2-12.2 $6$ $D_{12}$ $24$ $1$ $[ 0; 2, 2, 2, 12 ]$ $(1,4)\cdots(21,24),\ldots$
6.24-6.0.2-2-2-12.1 $6$ $D_{12}$ $24$ $1$ $[ 0; 2, 2, 2, 12 ]$ $(1,4)\cdots(21,24),\ldots$
6.26-2.0.2-13-26.7 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.2 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.4 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.5 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.6 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.9 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.10 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.11 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.12 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.1 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.3 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.26-2.0.2-13-26.8 $6$ $C_{26}$ $26$ $0$ $[ 0; 2, 13, 26 ]$ $(1,14)\cdots(13,26),\ldots$
6.28-3.0.2-2-2-7.3 $6$ $D_{14}$ $28$ $1$ $[ 0; 2, 2, 2, 7 ]$ $(1,8)\cdots(21,28),\ldots$
6.28-3.0.2-2-2-7.1 $6$ $D_{14}$ $28$ $1$ $[ 0; 2, 2, 2, 7 ]$ $(1,8)\cdots(21,28),\ldots$
6.28-3.0.2-2-2-7.2 $6$ $D_{14}$ $28$ $1$ $[ 0; 2, 2, 2, 7 ]$ $(1,8)\cdots(21,28),\ldots$
6.48-6.0.2-4-24.4 $6$ $C_{24}:C_2$ $48$ $0$ $[ 0; 2, 4, 24 ]$ $(1,25)\cdots(24,41),\ldots$
6.48-6.0.2-4-24.1 $6$ $C_{24}:C_2$ $48$ $0$ $[ 0; 2, 4, 24 ]$ $(1,25)\cdots(24,41),\ldots$
6.48-6.0.2-4-24.3 $6$ $C_{24}:C_2$ $48$ $0$ $[ 0; 2, 4, 24 ]$ $(1,25)\cdots(24,41),\ldots$
6.48-29.0.2-6-8.2 $6$ $\GL(2,3)$ $48$ $0$ $[ 0; 2, 6, 8 ]$ $(1,25)\cdots(24,39),\ldots$
6.48-29.0.2-6-8.1 $6$ $\GL(2,3)$ $48$ $0$ $[ 0; 2, 6, 8 ]$ $(1,25)\cdots(24,39),\ldots$
6.48-6.0.2-4-24.2 $6$ $C_{24}:C_2$ $48$ $0$ $[ 0; 2, 4, 24 ]$ $(1,25)\cdots(24,41),\ldots$
6.56-7.0.2-4-14.5 $6$ $C_7:D_4$ $56$ $0$ $[ 0; 2, 4, 14 ]$ $(1,29)\cdots(28,44),\ldots$
6.56-7.0.2-4-14.3 $6$ $C_7:D_4$ $56$ $0$ $[ 0; 2, 4, 14 ]$ $(1,29)\cdots(28,44),\ldots$
6.56-7.0.2-4-14.2 $6$ $C_7:D_4$ $56$ $0$ $[ 0; 2, 4, 14 ]$ $(1,29)\cdots(28,44),\ldots$
6.56-7.0.2-4-14.4 $6$ $C_7:D_4$ $56$ $0$ $[ 0; 2, 4, 14 ]$ $(1,29)\cdots(28,44),\ldots$
6.56-7.0.2-4-14.6 $6$ $C_7:D_4$ $56$ $0$ $[ 0; 2, 4, 14 ]$ $(1,29)\cdots(28,44),\ldots$
6.56-7.0.2-4-14.1 $6$ $C_7:D_4$ $56$ $0$ $[ 0; 2, 4, 14 ]$ $(1,29)\cdots(28,44),\ldots$
  displayed columns for results