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 (50 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
15.22-2.0.2-11-11-22.1	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.2	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.3	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.4	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.5	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.6	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.7	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.8	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.9	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.10	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.11	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.12	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.13	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.14	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.15	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.16	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.17	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.18	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.19	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.20	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.21	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.22	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.23	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.24	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.25	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.26	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.27	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.28	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.29	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.30	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.31	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.32	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.33	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.34	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.35	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.36	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.37	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.38	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.39	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.40	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.41	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.42	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.43	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.44	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.45	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.46	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.47	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.48	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.49	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$
15.22-2.0.2-11-11-22.50	$15$	$0$	$C_{22}$	$22$	$1$	$[ 0; 2, 11, 11, 22 ]$	$(1,12)\cdots(11,22),\ldots$

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Overview	Random
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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
Abelian varieties over $\F_{q}$

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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.