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 625 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2667-2667.1004-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1004	$0$	✓	✓	$-0.160$	$0$	$0.682946$	Character $\chi_{2667}(1004, \cdot)$
1-2667-2667.1013-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1013	$0$	✓	✓	$-0.492$	$0$	$0.355259$	Character $\chi_{2667}(1013, \cdot)$
1-2667-2667.1019-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1019	$0$	✓	✓	$-0.172$	$0$	$0.431028$	Character $\chi_{2667}(1019, \cdot)$
1-2667-2667.1025-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1025	$0$	✓	✓	$-0.0545$	$0$	$1.12316$	Character $\chi_{2667}(1025, \cdot)$
1-2667-2667.1034-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1034	$0$	✓	✓	$-0.459$	$0$	$0.326054$	Character $\chi_{2667}(1034, \cdot)$
1-2667-2667.104-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.104	$0$	✓	✓	$-0.293$	$0$	$0.532784$	Character $\chi_{2667}(104, \cdot)$
1-2667-2667.1040-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1040	$0$	✓	✓	$-0.181$	$0$	$0.897492$	Character $\chi_{2667}(1040, \cdot)$
1-2667-2667.1046-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1046	$0$	✓	✓	$-0.330$	$0$	$0.196432$	Character $\chi_{2667}(1046, \cdot)$
1-2667-2667.1061-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1061	$0$	✓	✓	$0.326$	$0$	$1.29677$	Character $\chi_{2667}(1061, \cdot)$
1-2667-2667.1073-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1073	$0$	✓	✓	$0.181$	$0$	$1.06613$	Character $\chi_{2667}(1073, \cdot)$
1-2667-2667.1076-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1076	$0$	✓	✓	$-0.431$	$0$	$0.521823$	Character $\chi_{2667}(1076, \cdot)$
1-2667-2667.1082-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1082	$0$	✓	✓	$0.446$	$0$	$1.25041$	Character $\chi_{2667}(1082, \cdot)$
1-2667-2667.1088-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1088	$0$	✓	✓	$0.0379$	$0$	$0.874032$	Character $\chi_{2667}(1088, \cdot)$
1-2667-2667.1094-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1094	$0$	✓	✓	$0.338$	$0$	$1.07014$	Character $\chi_{2667}(1094, \cdot)$
1-2667-2667.1097-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1097	$0$	✓	✓	$-0.0848$	$0$	$0.417078$	Character $\chi_{2667}(1097, \cdot)$
1-2667-2667.1124-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1124	$0$	✓	✓	$-0.144$	$0$	$0.555638$	Character $\chi_{2667}(1124, \cdot)$
1-2667-2667.1133-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1133	$0$	✓	✓	$-0.0455$	$0$	$0.281970$	Character $\chi_{2667}(1133, \cdot)$
1-2667-2667.1151-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1151	$0$	✓	✓	$-0.199$	$0$	$0.252969$	Character $\chi_{2667}(1151, \cdot)$
1-2667-2667.1154-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1154	$0$	✓	✓	$0.293$	$0$	$1.08246$	Character $\chi_{2667}(1154, \cdot)$
1-2667-2667.1157-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1157	$0$	✓	✓	$0.369$	$0$	$1.46002$	Character $\chi_{2667}(1157, \cdot)$
1-2667-2667.116-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.116	$0$	✓	✓	$0.355$	$0$	$0.0507533$	Character $\chi_{2667}(116, \cdot)$
1-2667-2667.1160-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1160	$0$	✓	✓	$0.477$	$0$	$0.439838$	Character $\chi_{2667}(1160, \cdot)$
1-2667-2667.1166-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1166	$0$	✓	✓	$0.124$	$0$	$1.04867$	Character $\chi_{2667}(1166, \cdot)$
1-2667-2667.1175-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1175	$0$	✓	✓	$-0.153$	$0$	$0.241355$	Character $\chi_{2667}(1175, \cdot)$
1-2667-2667.1181-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1181	$0$	✓	✓	$0.192$	$0$	$0.706163$	Character $\chi_{2667}(1181, \cdot)$
1-2667-2667.1193-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1193	$0$	✓	✓	$0.0944$	$0$	$0.843136$	Character $\chi_{2667}(1193, \cdot)$
1-2667-2667.1199-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1199	$0$	✓	✓	$0.373$	$0$	$0.937749$	Character $\chi_{2667}(1199, \cdot)$
1-2667-2667.1208-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1208	$0$	✓	✓	$-0.0931$	$0$	$0.661319$	Character $\chi_{2667}(1208, \cdot)$
1-2667-2667.1214-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1214	$0$	✓	✓	$-0.123$	$0$	$0.640256$	Character $\chi_{2667}(1214, \cdot)$
1-2667-2667.1217-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1217	$0$	✓	✓	$0.0141$	$0$	$0.668999$	Character $\chi_{2667}(1217, \cdot)$
1-2667-2667.122-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.122	$0$	✓	✓	$-0.151$	$0$	$0.755568$	Character $\chi_{2667}(122, \cdot)$
1-2667-2667.1220-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1220	$0$	✓	✓	$0.394$	$0$	$0.209938$	Character $\chi_{2667}(1220, \cdot)$
1-2667-2667.1229-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1229	$0$	✓	✓	$0.0762$	$0$	$0.635968$	Character $\chi_{2667}(1229, \cdot)$
1-2667-2667.1256-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1256	$0$	✓	✓	$-0.238$	$0$	$0.776120$	Character $\chi_{2667}(1256, \cdot)$
1-2667-2667.1262-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1262	$0$	✓	✓	$-0.213$	$0$	$0.618258$	Character $\chi_{2667}(1262, \cdot)$
1-2667-2667.1265-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1265	$0$	✓	✓	$0.141$	$0$	$1.19450$	Character $\chi_{2667}(1265, \cdot)$
1-2667-2667.1286-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1286	$0$	✓	✓	$0.199$	$0$	$1.06212$	Character $\chi_{2667}(1286, \cdot)$
1-2667-2667.1301-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1301	$0$	✓	✓	$0.449$	$0$	$0.411939$	Character $\chi_{2667}(1301, \cdot)$
1-2667-2667.1307-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1307	$0$	✓	✓	$0.163$	$0$	$0.494444$	Character $\chi_{2667}(1307, \cdot)$
1-2667-2667.131-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.131	$0$	✓	✓	$0.299$	$0$	$1.05586$	Character $\chi_{2667}(131, \cdot)$
1-2667-2667.1313-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1313	$0$	✓	✓	$-0.427$	$0$	$0.158453$	Character $\chi_{2667}(1313, \cdot)$
1-2667-2667.1319-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1319	$0$	✓	✓	$0.404$	$0$	$1.12292$	Character $\chi_{2667}(1319, \cdot)$
1-2667-2667.1322-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1322	$0$	✓	✓	$0.104$	$0$	$0.862229$	Character $\chi_{2667}(1322, \cdot)$
1-2667-2667.1325-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1325	$0$	✓	✓	$0.138$	$0$	$0.985324$	Character $\chi_{2667}(1325, \cdot)$
1-2667-2667.1340-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1340	$0$	✓	✓	$0.302$	$0$	$0.981306$	Character $\chi_{2667}(1340, \cdot)$
1-2667-2667.1343-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1343	$0$	✓	✓	$-0.0179$	$0$	$0.345333$	Character $\chi_{2667}(1343, \cdot)$
1-2667-2667.1349-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1349	$0$	✓	✓	$0.340$	$0$	$1.03605$	Character $\chi_{2667}(1349, \cdot)$
1-2667-2667.1355-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1355	$0$	✓	✓	$-0.348$	$0$	$1.30348$	Character $\chi_{2667}(1355, \cdot)$
1-2667-2667.1364-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1364	$0$	✓	✓	$-0.240$	$0$	$0.746853$	Character $\chi_{2667}(1364, \cdot)$
1-2667-2667.1367-r0-0-0	$12.3$	$12.3$	$1$	$3 \cdot 7 \cdot 127$	2667.1367	$0$	✓	✓	$0.381$	$0$	$1.56533$	Character $\chi_{2667}(1367, \cdot)$

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 625 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.