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 at least 1000)

Next To download results, determine the number of results.

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-6003-6003.1001-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1001	$0$	✓	✓	$-0.339$	$0$	$0.411700$	Character $\chi_{6003}(1001, \cdot)$
1-6003-6003.1003-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1003	$0$	✓	✓	$0.282$	$0$	$1.18557$	Character $\chi_{6003}(1003, \cdot)$
1-6003-6003.101-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.101	$0$	✓	✓	$-0.189$	$0$	$0.575870$	Character $\chi_{6003}(101, \cdot)$
1-6003-6003.1010-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1010	$0$	✓	✓	$-0.347$	$0$	$0.338315$	Character $\chi_{6003}(1010, \cdot)$
1-6003-6003.1019-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1019	$0$	✓	✓	$-0.269$	$0$	$0.541693$	Character $\chi_{6003}(1019, \cdot)$
1-6003-6003.1021-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1021	$0$	✓	✓	$0.432$	$0$	$0.248013$	Character $\chi_{6003}(1021, \cdot)$
1-6003-6003.1022-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1022	$0$	✓	✓	$-0.359$	$0$	$0.347820$	Character $\chi_{6003}(1022, \cdot)$
1-6003-6003.1024-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1024	$0$	✓	✓	$-0.210$	$0$	$0.689681$	Character $\chi_{6003}(1024, \cdot)$
1-6003-6003.1031-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1031	$0$	✓	✓	$-0.241$	$0$	$0.237304$	Character $\chi_{6003}(1031, \cdot)$
1-6003-6003.1033-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1033	$0$	✓	✓	$0.0942$	$0$	$0.395209$	Character $\chi_{6003}(1033, \cdot)$
1-6003-6003.1039-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1039	$0$	✓	✓	$0.267$	$0$	$1.56809$	Character $\chi_{6003}(1039, \cdot)$
1-6003-6003.104-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.104	$0$	✓	✓	$-0.448$	$0$	$0.268072$	Character $\chi_{6003}(104, \cdot)$
1-6003-6003.1040-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1040	$0$	✓	✓	$-0.411$	$0$	$0.378057$	Character $\chi_{6003}(1040, \cdot)$
1-6003-6003.1042-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1042	$0$	✓	✓	$-0.290$	$0$	$0.705359$	Character $\chi_{6003}(1042, \cdot)$
1-6003-6003.1048-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1048	$0$	✓	✓	$0.481$	$0$	$0.278539$	Character $\chi_{6003}(1048, \cdot)$
1-6003-6003.1049-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1049	$0$	✓	✓	$0.442$	$0$	$1.18460$	Character $\chi_{6003}(1049, \cdot)$
1-6003-6003.1051-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1051	$0$	✓	✓	$-0.110$	$0$	$0.785423$	Character $\chi_{6003}(1051, \cdot)$
1-6003-6003.106-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.106	$0$	✓	✓	$-0.248$	$0$	$0.358653$	Character $\chi_{6003}(106, \cdot)$
1-6003-6003.1060-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1060	$0$	✓	✓	$0.0404$	$0$	$0.975789$	Character $\chi_{6003}(1060, \cdot)$
1-6003-6003.1066-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1066	$0$	✓	✓	$-0.365$	$0$	$0.250995$	Character $\chi_{6003}(1066, \cdot)$
1-6003-6003.1075-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1075	$0$	✓	✓	$-0.214$	$0$	$0.872202$	Character $\chi_{6003}(1075, \cdot)$
1-6003-6003.1076-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1076	$0$	✓	✓	$0.140$	$0$	$0.776975$	Character $\chi_{6003}(1076, \cdot)$
1-6003-6003.1085-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1085	$0$	✓	✓	$-0.430$	$0$	$0.422046$	Character $\chi_{6003}(1085, \cdot)$
1-6003-6003.1093-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1093	$0$	✓	✓	$-0.0404$	$0$	$0.803553$	Character $\chi_{6003}(1093, \cdot)$
1-6003-6003.1094-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1094	$0$	✓	✓	$-0.239$	$0$	$0.566331$	Character $\chi_{6003}(1094, \cdot)$
1-6003-6003.1109-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1109	$0$	✓	✓	$0.00792$	$0$	$0.563038$	Character $\chi_{6003}(1109, \cdot)$
1-6003-6003.1112-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1112	$0$	✓	✓	$-0.295$	$0$	$1.01268$	Character $\chi_{6003}(1112, \cdot)$
1-6003-6003.1114-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1114	$0$	✓	✓	$-0.372$	$0$	$1.42367$	Character $\chi_{6003}(1114, \cdot)$
1-6003-6003.1118-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1118	$0$	✓	✓	$-0.286$	$0$	$1.30190$	Character $\chi_{6003}(1118, \cdot)$
1-6003-6003.1123-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1123	$0$	✓	✓	$-0.256$	$0$	$0.544355$	Character $\chi_{6003}(1123, \cdot)$
1-6003-6003.1139-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1139	$0$	✓	✓	$0.158$	$0$	$0.903792$	Character $\chi_{6003}(1139, \cdot)$
1-6003-6003.1141-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1141	$0$	✓	✓	$-0.389$	$0$	$0.222123$	Character $\chi_{6003}(1141, \cdot)$
1-6003-6003.1145-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1145	$0$	✓	✓	$0.408$	$0$	$0.144603$	Character $\chi_{6003}(1145, \cdot)$
1-6003-6003.1156-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1156	$0$	✓	✓	$-0.137$	$0$	$0.585000$	Character $\chi_{6003}(1156, \cdot)$
1-6003-6003.1159-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1159	$0$	✓	✓	$-0.410$	$0$	$1.50585$	Character $\chi_{6003}(1159, \cdot)$
1-6003-6003.1163-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1163	$0$	✓	✓	$0.189$	$0$	$0.779491$	Character $\chi_{6003}(1163, \cdot)$
1-6003-6003.1175-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1175	$0$	✓	✓	$-0.0589$	$0$	$0.696348$	Character $\chi_{6003}(1175, \cdot)$
1-6003-6003.1181-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1181	$0$	✓	✓	$-0.207$	$0$	$0.112492$	Character $\chi_{6003}(1181, \cdot)$
1-6003-6003.1184-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1184	$0$	✓	✓	$0.304$	$0$	$0.148611$	Character $\chi_{6003}(1184, \cdot)$
1-6003-6003.119-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.119	$0$	✓	✓	$0.296$	$0$	$1.35157$	Character $\chi_{6003}(119, \cdot)$
1-6003-6003.1192-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1192	$0$	✓	✓	$0.116$	$0$	$0.848934$	Character $\chi_{6003}(1192, \cdot)$
1-6003-6003.1193-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1193	$0$	✓	✓	$0.277$	$0$	$0.853082$	Character $\chi_{6003}(1193, \cdot)$
1-6003-6003.1199-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1199	$0$	✓	✓	$0.334$	$0$	$0.800491$	Character $\chi_{6003}(1199, \cdot)$
1-6003-6003.1201-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1201	$0$	✓	✓	$-0.0603$	$0$	$0.692735$	Character $\chi_{6003}(1201, \cdot)$
1-6003-6003.1208-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1208	$0$	✓	✓	$-0.482$	$0$	$0.0940623$	Character $\chi_{6003}(1208, \cdot)$
1-6003-6003.121-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.121	$0$	✓	✓	$0.312$	$0$	$1.22756$	Character $\chi_{6003}(121, \cdot)$
1-6003-6003.1210-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1210	$0$	✓	✓	$-0.357$	$0$	$0.809192$	Character $\chi_{6003}(1210, \cdot)$
1-6003-6003.1211-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1211	$0$	✓	✓	$0.444$	$0$	$0.968416$	Character $\chi_{6003}(1211, \cdot)$
1-6003-6003.1217-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.1217	$0$	✓	✓	$-0.326$	$0$	$0.529432$	Character $\chi_{6003}(1217, \cdot)$
1-6003-6003.122-r0-0-0	$27.8$	$27.8$	$1$	$3^{2} \cdot 23 \cdot 29$	6003.122	$0$	✓	✓	$-0.226$	$0$	$0.758309$	Character $\chi_{6003}(122, \cdot)$

Next To download results, determine the number of results.

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

Learn more

Refine search

Results (1-50 of at least 1000)

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