Family of higher genus curves with automorphisms search results

Results (displaying both matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
4.16-7.0.2-2-2-8.1	$4$	$0$	$D_8$	$16$	$1$	$[ 0; 2, 2, 2, 8 ]$	✓		$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
4.16-7.0.2-2-2-8.2	$4$	$0$	$D_8$	$16$	$1$	$[ 0; 2, 2, 2, 8 ]$	✓		$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$