LMFDB - Family of genus 15 curves with automorphism group $C_2\times C

Family Information

Genus:	$15$
Dimension of the family:	$7$

Cover

Quotient genus:	$0$
Number of branch points:	$10$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$

Group

Name:	$C_2\times C_4$
Identifier:	$[8,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
15.8-2.0.2-2-2-2-2-2-2-2-4-4.1	2, 2, 2, 2, 2, 2, 2, 3, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.2	2, 2, 2, 2, 2, 2, 2, 3, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.3	2, 2, 2, 2, 2, 2, 2, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.4	2, 2, 2, 2, 2, 2, 2, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.5	2, 2, 2, 2, 2, 2, 3, 3, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.6	2, 2, 2, 2, 2, 2, 3, 3, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.7	2, 2, 2, 2, 2, 2, 3, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.8	2, 2, 2, 2, 2, 2, 3, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.9	2, 2, 2, 2, 2, 2, 3, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.10	2, 2, 2, 2, 2, 2, 3, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.11	2, 2, 2, 2, 2, 2, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.12	2, 2, 2, 2, 2, 2, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.13	2, 2, 2, 2, 2, 3, 3, 3, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.14	2, 2, 2, 2, 2, 3, 3, 3, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.15	2, 2, 2, 2, 2, 3, 3, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.16	2, 2, 2, 2, 2, 3, 3, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.17	2, 2, 2, 2, 2, 3, 4, 4, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.18	2, 2, 2, 2, 2, 3, 4, 4, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.19	2, 2, 2, 2, 2, 4, 4, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.20	2, 2, 2, 2, 2, 4, 4, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.21	2, 2, 2, 2, 3, 3, 3, 3, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.22	2, 2, 2, 2, 3, 3, 3, 3, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.23	2, 2, 2, 2, 3, 3, 3, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.24	2, 2, 2, 2, 3, 3, 3, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.25	2, 2, 2, 2, 3, 3, 3, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.26	2, 2, 2, 2, 3, 3, 3, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.27	2, 2, 2, 2, 3, 3, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.28	2, 2, 2, 2, 3, 3, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.29	2, 2, 2, 2, 3, 4, 4, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.30	2, 2, 2, 2, 3, 4, 4, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.31	2, 2, 2, 2, 3, 4, 4, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.32	2, 2, 2, 2, 3, 4, 4, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.33	2, 2, 2, 2, 4, 4, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.34	2, 2, 2, 2, 4, 4, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.35	2, 2, 2, 3, 3, 3, 3, 3, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.36	2, 2, 2, 3, 3, 3, 3, 3, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.37	2, 2, 2, 3, 3, 3, 3, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.38	2, 2, 2, 3, 3, 3, 3, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.39	2, 2, 2, 3, 3, 3, 4, 4, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.40	2, 2, 2, 3, 3, 3, 4, 4, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.41	2, 2, 2, 3, 3, 4, 4, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.42	2, 2, 2, 3, 3, 4, 4, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.43	2, 2, 2, 3, 4, 4, 4, 4, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.44	2, 2, 2, 3, 4, 4, 4, 4, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.45	2, 2, 2, 4, 4, 4, 4, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.46	2, 2, 2, 4, 4, 4, 4, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.47	2, 2, 3, 3, 3, 3, 3, 3, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.48	2, 2, 3, 3, 3, 3, 3, 3, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.49	2, 2, 3, 3, 3, 3, 3, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.50	2, 2, 3, 3, 3, 3, 3, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.51	2, 2, 3, 3, 3, 3, 3, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.52	2, 2, 3, 3, 3, 3, 3, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.53	2, 2, 3, 3, 3, 3, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.54	2, 2, 3, 3, 3, 3, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.55	2, 2, 3, 3, 3, 4, 4, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.56	2, 2, 3, 3, 3, 4, 4, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.57	2, 2, 3, 3, 3, 4, 4, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.58	2, 2, 3, 3, 3, 4, 4, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.59	2, 2, 3, 3, 4, 4, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.60	2, 2, 3, 3, 4, 4, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.61	2, 2, 3, 4, 4, 4, 4, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.62	2, 2, 3, 4, 4, 4, 4, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.63	2, 2, 3, 4, 4, 4, 4, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.64	2, 2, 3, 4, 4, 4, 4, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.65	2, 2, 4, 4, 4, 4, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.66	2, 2, 4, 4, 4, 4, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.67	2, 3, 3, 3, 3, 3, 3, 3, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.68	2, 3, 3, 3, 3, 3, 3, 3, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.69	2, 3, 3, 3, 3, 3, 3, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.70	2, 3, 3, 3, 3, 3, 3, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.71	2, 3, 3, 3, 3, 3, 4, 4, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.72	2, 3, 3, 3, 3, 3, 4, 4, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.73	2, 3, 3, 3, 3, 4, 4, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.74	2, 3, 3, 3, 3, 4, 4, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.75	2, 3, 3, 3, 4, 4, 4, 4, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.76	2, 3, 3, 3, 4, 4, 4, 4, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.77	2, 3, 3, 4, 4, 4, 4, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.78	2, 3, 3, 4, 4, 4, 4, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.79	2, 3, 4, 4, 4, 4, 4, 4, 5, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.80	2, 3, 4, 4, 4, 4, 4, 4, 6, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.81	2, 4, 4, 4, 4, 4, 4, 4, 5, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.82	2, 4, 4, 4, 4, 4, 4, 4, 6, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.83	3, 3, 3, 3, 3, 3, 3, 3, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.84	3, 3, 3, 3, 3, 3, 3, 3, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.85	3, 3, 3, 3, 3, 3, 3, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.86	3, 3, 3, 3, 3, 3, 3, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.87	3, 3, 3, 3, 3, 3, 3, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.88	3, 3, 3, 3, 3, 3, 3, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.89	3, 3, 3, 3, 3, 3, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.90	3, 3, 3, 3, 3, 3, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.91	3, 3, 3, 3, 3, 4, 4, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.92	3, 3, 3, 3, 3, 4, 4, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.93	3, 3, 3, 3, 3, 4, 4, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.94	3, 3, 3, 3, 3, 4, 4, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.95	3, 3, 3, 3, 4, 4, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.96	3, 3, 3, 3, 4, 4, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.97	3, 3, 3, 4, 4, 4, 4, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.98	3, 3, 3, 4, 4, 4, 4, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.99	3, 3, 3, 4, 4, 4, 4, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.100	3, 3, 3, 4, 4, 4, 4, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.101	3, 3, 4, 4, 4, 4, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.102	3, 3, 4, 4, 4, 4, 4, 4, 7, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.103	3, 4, 4, 4, 4, 4, 4, 4, 5, 5
15.8-2.0.2-2-2-2-2-2-2-2-4-4.104	3, 4, 4, 4, 4, 4, 4, 4, 6, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.105	3, 4, 4, 4, 4, 4, 4, 4, 7, 7
15.8-2.0.2-2-2-2-2-2-2-2-4-4.106	3, 4, 4, 4, 4, 4, 4, 4, 8, 8
15.8-2.0.2-2-2-2-2-2-2-2-4-4.107	4, 4, 4, 4, 4, 4, 4, 4, 5, 6
15.8-2.0.2-2-2-2-2-2-2-2-4-4.108	4, 4, 4, 4, 4, 4, 4, 4, 7, 8

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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Family Information

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Group

Conjugacy class(es) of Refined passports

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

Label	15.8-2.0.2-2-2-2-2-2-2-2-4-4
Genus	\(15\)
Quotient genus	\(0\)
Group	\(C_2\times C_4\)
Signature	\([ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]\)