LMFDB - Families of Higher Genus Curves with Automorphisms Search Results

Results (displaying matches 1-50 of at least 1000) Next

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
15.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	15	$C_2$	2	29	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.1	15	$C_3$	3	14	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.2	15	$C_3$	3	14	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.4	15	$C_3$	3	14	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.3	15	$C_3$	3	14	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.5	15	$C_3$	3	14	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
15.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3.6	15	$C_3$	3	14	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.1	15	$C_4$	4	9	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.2	15	$C_4$	4	9	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.5	15	$C_4$	4	9	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.3	15	$C_4$	4	9	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.6	15	$C_4$	4	9	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.4	15	$C_4$	4	9	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.4-4-4-4-4-4-4-4-4-4-4-4.7	15	$C_4$	4	9	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.2	15	$C_4$	4	10	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.1	15	$C_4$	4	10	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.3	15	$C_4$	4	10	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.4	15	$C_4$	4	10	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.5	15	$C_4$	4	10	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-4-4-4-4-4-4-4-4-4-4.6	15	$C_4$	4	10	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.2	15	$C_4$	4	11	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.3	15	$C_4$	4	11	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.1	15	$C_4$	4	11	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.4	15	$C_4$	4	11	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4-4-4.5	15	$C_4$	4	11	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4-4-4.1	15	$C_4$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4-4-4.2	15	$C_4$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4-4-4.3	15	$C_4$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4-4-4.4	15	$C_4$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4.1	15	$C_4$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4.2	15	$C_4$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4.3	15	$C_4$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.1	15	$C_4$	4	14	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.2	15	$C_4$	4	14	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.24	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.30	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.31	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.32	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.33	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.34	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.45	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.46	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.2	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.47	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.48	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.3	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.49	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.4	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.15	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$

In order to download results, determine the number of results.

Introduction	Features
Universe	News

Genus		Quotient genus
Dimension of the family		Signature
Group order(s)		Group identifier
Hyperelliptic curve(s)		Cyclic trigonal curve(s)
Full automorphism group
Sort order

Introduction and more

L-functions

Modular Forms

Varieties

Fields

Representations

Groups

Knowledge

Results (displaying matches 1-50 of at least 1000) Next

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.