Family of higher genus curves with automorphisms search results

Results (6 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
6.18-2.0.3-18-18.5	$6$	$0$	$C_{18}$	$18$	$0$	$[ 0; 3, 18, 18 ]$		✓	$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$
6.18-2.0.3-18-18.1	$6$	$0$	$C_{18}$	$18$	$0$	$[ 0; 3, 18, 18 ]$		✓	$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$
6.18-2.0.3-18-18.6	$6$	$0$	$C_{18}$	$18$	$0$	$[ 0; 3, 18, 18 ]$		✓	$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$
6.18-2.0.3-18-18.2	$6$	$0$	$C_{18}$	$18$	$0$	$[ 0; 3, 18, 18 ]$		✓	$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$
6.18-2.0.3-18-18.3	$6$	$0$	$C_{18}$	$18$	$0$	$[ 0; 3, 18, 18 ]$		✓	$(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$
6.18-2.0.3-18-18.4	$6$	$0$	$C_{18}$	$18$	$0$	$[ 0; 3, 18, 18 ]$		✓	$(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$