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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	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
10.36-13.0.2-2-3-6.1	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.2	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.3	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.4	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.5	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.6	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.7	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.8	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.9	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.10	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.11	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-3-6.12	$10$	$0$	$C_6:S_3$	$36$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,19)\cdots(18,32),\ldots$
10.36-13.0.2-2-2-2-2.1	$10$	$0$	$C_6:S_3$	$36$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$			$(1,10)\cdots(27,36),\ldots$
10.36-13.0.2-2-2-2-2.2	$10$	$0$	$C_6:S_3$	$36$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$			$(1,10)\cdots(27,36),\ldots$

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