LMFDB - L-function search results

Refine search

Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

		Sort order	Select

Results (1-50 of 936 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-13e3-2197.10-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.10	$0$	✓	✓	$-0.345$	$0$	$1.07813$	Character $\chi_{2197}(10, \cdot)$
1-13e3-2197.100-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.100	$0$	✓	✓	$0.0876$	$0$	$1.21221$	Character $\chi_{2197}(100, \cdot)$
1-13e3-2197.1000-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1000	$0$	✓	✓	$-0.433$	$0$	$1.64895$	Character $\chi_{2197}(1000, \cdot)$
1-13e3-2197.1002-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1002	$0$	✓	✓	$-0.489$	$0$	$1.63052$	Character $\chi_{2197}(1002, \cdot)$
1-13e3-2197.1004-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1004	$0$	✓	✓	$-0.345$	$0$	$1.31258$	Character $\chi_{2197}(1004, \cdot)$
1-13e3-2197.1005-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1005	$0$	✓	✓	$-0.0997$	$0$	$0.845950$	Character $\chi_{2197}(1005, \cdot)$
1-13e3-2197.101-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.101	$0$	✓	✓	$0.158$	$0$	$1.18757$	Character $\chi_{2197}(101, \cdot)$
1-13e3-2197.1010-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1010	$0$	✓	✓	$-0.339$	$0$	$0.0640929$	Character $\chi_{2197}(1010, \cdot)$
1-13e3-2197.1011-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1011	$0$	✓	✓	$0.331$	$0$	$1.47261$	Character $\chi_{2197}(1011, \cdot)$
1-13e3-2197.1017-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1017	$0$	✓	✓	$0.292$	$0$	$1.11709$	Character $\chi_{2197}(1017, \cdot)$
1-13e3-2197.1018-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1018	$0$	✓	✓	$-0.301$	$0$	$0.482331$	Character $\chi_{2197}(1018, \cdot)$
1-13e3-2197.1023-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1023	$0$	✓	✓	$-0.0228$	$0$	$0.315354$	Character $\chi_{2197}(1023, \cdot)$
1-13e3-2197.1024-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1024	$0$	✓	✓	$-0.114$	$0$	$1.48284$	Character $\chi_{2197}(1024, \cdot)$
1-13e3-2197.1026-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1026	$0$	✓	✓	$0.433$	$0$	$0.267832$	Character $\chi_{2197}(1026, \cdot)$
1-13e3-2197.1028-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1028	$0$	✓	✓	$0.412$	$0$	$0.0651651$	Character $\chi_{2197}(1028, \cdot)$
1-13e3-2197.103-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.103	$0$	✓	✓	$0.00204$	$0$	$1.15494$	Character $\chi_{2197}(103, \cdot)$
1-13e3-2197.1030-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1030	$0$	✓	✓	$-0.484$	$0$	$1.19357$	Character $\chi_{2197}(1030, \cdot)$
1-13e3-2197.1031-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1031	$0$	✓	✓	$0.114$	$0$	$1.42319$	Character $\chi_{2197}(1031, \cdot)$
1-13e3-2197.1039-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1039	$0$	✓	✓	$-0.124$	$0$	$0.772962$	Character $\chi_{2197}(1039, \cdot)$
1-13e3-2197.1041-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1041	$0$	✓	✓	$0.470$	$0$	$1.45206$	Character $\chi_{2197}(1041, \cdot)$
1-13e3-2197.1043-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1043	$0$	✓	✓	$0.156$	$0$	$0.812615$	Character $\chi_{2197}(1043, \cdot)$
1-13e3-2197.1044-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1044	$0$	✓	✓	$0.310$	$0$	$0.542173$	Character $\chi_{2197}(1044, \cdot)$
1-13e3-2197.1049-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1049	$0$	✓	✓	$-0.156$	$0$	$0.724835$	Character $\chi_{2197}(1049, \cdot)$
1-13e3-2197.105-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.105	$0$	✓	✓	$0.117$	$0$	$0.808680$	Character $\chi_{2197}(105, \cdot)$
1-13e3-2197.1050-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1050	$0$	✓	✓	$0.499$	$0$	$1.05057$	Character $\chi_{2197}(1050, \cdot)$
1-13e3-2197.1052-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1052	$0$	✓	✓	$-0.433$	$0$	$0.721822$	Character $\chi_{2197}(1052, \cdot)$
1-13e3-2197.1054-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1054	$0$	✓	✓	$0.125$	$0$	$0.655724$	Character $\chi_{2197}(1054, \cdot)$
1-13e3-2197.1056-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1056	$0$	✓	✓	$-0.121$	$0$	$0.606031$	Character $\chi_{2197}(1056, \cdot)$
1-13e3-2197.1057-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1057	$0$	✓	✓	$0.440$	$0$	$0.351423$	Character $\chi_{2197}(1057, \cdot)$
1-13e3-2197.1062-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1062	$0$	✓	✓	$0.0318$	$0$	$0.622709$	Character $\chi_{2197}(1062, \cdot)$
1-13e3-2197.1063-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1063	$0$	✓	✓	$-0.433$	$0$	$0.149770$	Character $\chi_{2197}(1063, \cdot)$
1-13e3-2197.1065-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1065	$0$	✓	✓	$0.115$	$0$	$1.08620$	Character $\chi_{2197}(1065, \cdot)$
1-13e3-2197.1067-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1067	$0$	✓	✓	$-0.346$	$0$	$0.124043$	Character $\chi_{2197}(1067, \cdot)$
1-13e3-2197.1069-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1069	$0$	✓	✓	$-0.401$	$0$	$0.759446$	Character $\chi_{2197}(1069, \cdot)$
1-13e3-2197.107-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.107	$0$	✓	✓	$-0.156$	$0$	$1.11606$	Character $\chi_{2197}(107, \cdot)$
1-13e3-2197.1070-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1070	$0$	✓	✓	$0.284$	$0$	$0.634173$	Character $\chi_{2197}(1070, \cdot)$
1-13e3-2197.1075-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1075	$0$	✓	✓	$-0.114$	$0$	$0.831264$	Character $\chi_{2197}(1075, \cdot)$
1-13e3-2197.1076-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1076	$0$	✓	✓	$-0.0792$	$0$	$0.824397$	Character $\chi_{2197}(1076, \cdot)$
1-13e3-2197.1078-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1078	$0$	✓	✓	$0.0789$	$0$	$1.41603$	Character $\chi_{2197}(1078, \cdot)$
1-13e3-2197.108-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.108	$0$	✓	✓	$0.346$	$0$	$0.0419212$	Character $\chi_{2197}(108, \cdot)$
1-13e3-2197.1080-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1080	$0$	✓	✓	$0.113$	$0$	$0.935623$	Character $\chi_{2197}(1080, \cdot)$
1-13e3-2197.1082-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1082	$0$	✓	✓	$-0.265$	$0$	$0.656685$	Character $\chi_{2197}(1082, \cdot)$
1-13e3-2197.1083-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1083	$0$	✓	✓	$0.433$	$0$	$1.11818$	Character $\chi_{2197}(1083, \cdot)$
1-13e3-2197.1088-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1088	$0$	✓	✓	$0.177$	$0$	$0.456993$	Character $\chi_{2197}(1088, \cdot)$
1-13e3-2197.1089-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1089	$0$	✓	✓	$-0.207$	$0$	$0.736139$	Character $\chi_{2197}(1089, \cdot)$
1-13e3-2197.1091-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1091	$0$	✓	✓	$-0.301$	$0$	$0.787663$	Character $\chi_{2197}(1091, \cdot)$
1-13e3-2197.1093-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1093	$0$	✓	✓	$0.339$	$0$	$1.24497$	Character $\chi_{2197}(1093, \cdot)$
1-13e3-2197.1095-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1095	$0$	✓	✓	$-0.0318$	$0$	$0.634325$	Character $\chi_{2197}(1095, \cdot)$
1-13e3-2197.1096-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1096	$0$	✓	✓	$-0.465$	$0$	$0.376712$	Character $\chi_{2197}(1096, \cdot)$
1-13e3-2197.1101-r0-0-0	$10.2$	$10.2$	$1$	$13^{3}$	2197.1101	$0$	✓	✓	$0.0342$	$0$	$0.645681$	Character $\chi_{2197}(1101, \cdot)$

Next Download displayed columns for results to

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 $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 936 matches)

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