LMFDB - Family of higher genus curves with automorphisms search results

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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 (20 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
15.44-2.0.4-11-44.1	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.2	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.3	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.4	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.5	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.6	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.7	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.8	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.9	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.10	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,23,2,24)\cdots(21,43,22,44),\ldots$
15.44-2.0.4-11-44.11	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.12	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.13	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.14	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.15	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.16	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.17	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.18	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.19	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$
15.44-2.0.4-11-44.20	$15$	$0$	$C_{44}$	$44$	$0$	$[ 0; 4, 11, 44 ]$	$(1,24,2,23)\cdots(21,44,22,43),\ldots$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.