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
10.20-1.0.2-4-4-10.1	$10$	$0$	$C_5:C_4$	$20$	$1$	$[ 0; 2, 4, 4, 10 ]$	✓		$(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$
10.20-1.0.2-4-4-10.2	$10$	$0$	$C_5:C_4$	$20$	$1$	$[ 0; 2, 4, 4, 10 ]$	✓		$(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$