Family of higher genus curves with automorphisms search results

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

Results (14 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
12.6-1.0.2-2-3-3-3-3-3-3-3.1	$12$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3 ]$		✓	$(1,4)(2,6)(3,5),\ldots$
12.12-4.0.2-2-3-3-3-6.1	$12$	$0$	$D_6$	$12$	$3$	$[ 0; 2, 2, 3, 3, 3, 6 ]$		✓	$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$
12.18-1.0.2-2-3-3-9.1	$12$	$0$	$D_9$	$18$	$2$	$[ 0; 2, 2, 3, 3, 9 ]$		✓	$(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
12.18-1.0.2-2-3-3-9.2	$12$	$0$	$D_9$	$18$	$2$	$[ 0; 2, 2, 3, 3, 9 ]$		✓	$(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
12.18-1.0.2-2-3-3-9.3	$12$	$0$	$D_9$	$18$	$2$	$[ 0; 2, 2, 3, 3, 9 ]$		✓	$(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
12.36-4.0.2-2-3-18.2	$12$	$0$	$D_{18}$	$36$	$1$	$[ 0; 2, 2, 3, 18 ]$		✓	$(1,19)\cdots(18,33),\ldots$
12.36-4.0.2-2-3-18.3	$12$	$0$	$D_{18}$	$36$	$1$	$[ 0; 2, 2, 3, 18 ]$		✓	$(1,19)\cdots(18,33),\ldots$
12.36-4.0.2-2-3-18.1	$12$	$0$	$D_{18}$	$36$	$1$	$[ 0; 2, 2, 3, 18 ]$		✓	$(1,19)\cdots(18,33),\ldots$
12.42-5.0.2-2-3-7.2	$12$	$0$	$D_{21}$	$42$	$1$	$[ 0; 2, 2, 3, 7 ]$		✓	$(1,22)\cdots(21,30),\ldots$
12.42-5.0.2-2-3-7.3	$12$	$0$	$D_{21}$	$42$	$1$	$[ 0; 2, 2, 3, 7 ]$		✓	$(1,22)\cdots(21,30),\ldots$
12.42-5.0.2-2-3-7.1	$12$	$0$	$D_{21}$	$42$	$1$	$[ 0; 2, 2, 3, 7 ]$		✓	$(1,22)\cdots(21,30),\ldots$
12.84-8.0.2-6-14.1	$12$	$0$	$S_3\times D_7$	$84$	$0$	$[ 0; 2, 6, 14 ]$		✓	$(1,64)\cdots(42,51),\ldots$
12.84-8.0.2-6-14.2	$12$	$0$	$S_3\times D_7$	$84$	$0$	$[ 0; 2, 6, 14 ]$		✓	$(1,64)\cdots(42,51),\ldots$
12.84-8.0.2-6-14.3	$12$	$0$	$S_3\times D_7$	$84$	$0$	$[ 0; 2, 6, 14 ]$		✓	$(1,64)\cdots(42,51),\ldots$

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