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 717 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1205-1205.1002-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1002	$0$	✓	✓	$-0.120$	$0$	$0.607354$	Character $\chi_{1205}(1002, \cdot)$
1-1205-1205.1003-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1003	$0$	✓	✓	$-0.134$	$0$	$1.03120$	Character $\chi_{1205}(1003, \cdot)$
1-1205-1205.1004-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1004	$0$	✓	✓	$-0.0321$	$0$	$0.756029$	Character $\chi_{1205}(1004, \cdot)$
1-1205-1205.1007-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1007	$0$	✓	✓	$-0.454$	$0$	$0.517348$	Character $\chi_{1205}(1007, \cdot)$
1-1205-1205.1008-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1008	$0$	✓	✓	$0.449$	$0$	$0.954027$	Character $\chi_{1205}(1008, \cdot)$
1-1205-1205.1009-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1009	$0$	✓	✓	$-0.248$	$0$	$0.588109$	Character $\chi_{1205}(1009, \cdot)$
1-1205-1205.1014-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1014	$0$	✓	✓	$-0.192$	$0$	$0.581617$	Character $\chi_{1205}(1014, \cdot)$
1-1205-1205.102-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.102	$0$	✓	✓	$0.340$	$0$	$1.78935$	Character $\chi_{1205}(102, \cdot)$
1-1205-1205.1024-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1024	$0$	✓	✓	$-0.489$	$0$	$0.00946029$	Character $\chi_{1205}(1024, \cdot)$
1-1205-1205.1027-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1027	$0$	✓	✓	$0.0445$	$0$	$0.633618$	Character $\chi_{1205}(1027, \cdot)$
1-1205-1205.103-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.103	$0$	✓	✓	$-0.175$	$0$	$0.457629$	Character $\chi_{1205}(103, \cdot)$
1-1205-1205.1032-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1032	$0$	✓	✓	$0.134$	$0$	$1.80202$	Character $\chi_{1205}(1032, \cdot)$
1-1205-1205.1033-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1033	$0$	✓	✓	$-0.155$	$0$	$1.04435$	Character $\chi_{1205}(1033, \cdot)$
1-1205-1205.1037-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1037	$0$	✓	✓	$-0.258$	$0$	$0.718364$	Character $\chi_{1205}(1037, \cdot)$
1-1205-1205.1038-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1038	$0$	✓	✓	$-0.488$	$0$	$0.508756$	Character $\chi_{1205}(1038, \cdot)$
1-1205-1205.1039-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1039	$0$	✓	✓	$0.248$	$0$	$1.49396$	Character $\chi_{1205}(1039, \cdot)$
1-1205-1205.1042-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1042	$0$	✓	✓	$-0.206$	$0$	$0.870812$	Character $\chi_{1205}(1042, \cdot)$
1-1205-1205.1044-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1044	$0$	✓	✓	$0.168$	$0$	$0.703241$	Character $\chi_{1205}(1044, \cdot)$
1-1205-1205.1048-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1048	$0$	✓	✓	$0.300$	$0$	$1.09139$	Character $\chi_{1205}(1048, \cdot)$
1-1205-1205.1052-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1052	$0$	✓	✓	$0.131$	$0$	$1.07533$	Character $\chi_{1205}(1052, \cdot)$
1-1205-1205.1053-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1053	$0$	✓	✓	$0.0666$	$0$	$1.05673$	Character $\chi_{1205}(1053, \cdot)$
1-1205-1205.1054-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1054	$0$	✓	✓	$0.457$	$0$	$1.07057$	Character $\chi_{1205}(1054, \cdot)$
1-1205-1205.1057-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1057	$0$	✓	✓	$0.436$	$0$	$0.123269$	Character $\chi_{1205}(1057, \cdot)$
1-1205-1205.1063-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1063	$0$	✓	✓	$-0.229$	$0$	$0.234921$	Character $\chi_{1205}(1063, \cdot)$
1-1205-1205.1064-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1064	$0$	✓	✓	$-0.145$	$0$	$1.23214$	Character $\chi_{1205}(1064, \cdot)$
1-1205-1205.1067-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1067	$0$	✓	✓	$0.00118$	$0$	$1.35401$	Character $\chi_{1205}(1067, \cdot)$
1-1205-1205.1068-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1068	$0$	✓	✓	$-0.389$	$0$	$1.77488$	Character $\chi_{1205}(1068, \cdot)$
1-1205-1205.1073-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1073	$0$	✓	✓	$-0.351$	$0$	$0.329635$	Character $\chi_{1205}(1073, \cdot)$
1-1205-1205.1078-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1078	$0$	✓	✓	$0.312$	$0$	$0.188352$	Character $\chi_{1205}(1078, \cdot)$
1-1205-1205.1084-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1084	$0$	✓	✓	$0.343$	$0$	$1.25536$	Character $\chi_{1205}(1084, \cdot)$
1-1205-1205.1088-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1088	$0$	✓	✓	$0.270$	$0$	$1.70569$	Character $\chi_{1205}(1088, \cdot)$
1-1205-1205.1089-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1089	$0$	✓	✓	$-0.203$	$0$	$0.00830569$	Character $\chi_{1205}(1089, \cdot)$
1-1205-1205.1093-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1093	$0$	✓	✓	$0.285$	$0$	$0.600332$	Character $\chi_{1205}(1093, \cdot)$
1-1205-1205.1099-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1099	$0$	✓	✓	$0.365$	$0$	$1.87361$	Character $\chi_{1205}(1099, \cdot)$
1-1205-1205.1102-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1102	$0$	✓	✓	$-0.270$	$0$	$0.853212$	Character $\chi_{1205}(1102, \cdot)$
1-1205-1205.1103-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1103	$0$	✓	✓	$-0.381$	$0$	$1.68012$	Character $\chi_{1205}(1103, \cdot)$
1-1205-1205.1109-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1109	$0$	✓	✓	$0.344$	$0$	$0.200585$	Character $\chi_{1205}(1109, \cdot)$
1-1205-1205.1112-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1112	$0$	✓	✓	$0.138$	$0$	$1.30031$	Character $\chi_{1205}(1112, \cdot)$
1-1205-1205.1113-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1113	$0$	✓	✓	$0.0293$	$0$	$1.20446$	Character $\chi_{1205}(1113, \cdot)$
1-1205-1205.1114-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1114	$0$	✓	✓	$0.410$	$0$	$1.65769$	Character $\chi_{1205}(1114, \cdot)$
1-1205-1205.1117-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1117	$0$	✓	✓	$0.0339$	$0$	$0.734345$	Character $\chi_{1205}(1117, \cdot)$
1-1205-1205.112-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.112	$0$	✓	✓	$-0.452$	$0$	$0.490256$	Character $\chi_{1205}(112, \cdot)$
1-1205-1205.1124-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1124	$0$	✓	✓	$-0.0222$	$0$	$1.06911$	Character $\chi_{1205}(1124, \cdot)$
1-1205-1205.1127-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1127	$0$	✓	✓	$0.261$	$0$	$1.40164$	Character $\chi_{1205}(1127, \cdot)$
1-1205-1205.1132-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1132	$0$	✓	✓	$-0.111$	$0$	$0.433070$	Character $\chi_{1205}(1132, \cdot)$
1-1205-1205.1137-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1137	$0$	✓	✓	$-0.126$	$0$	$1.04317$	Character $\chi_{1205}(1137, \cdot)$
1-1205-1205.1142-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1142	$0$	✓	✓	$0.142$	$0$	$0.519361$	Character $\chi_{1205}(1142, \cdot)$
1-1205-1205.1143-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1143	$0$	✓	✓	$0.408$	$0$	$0.518356$	Character $\chi_{1205}(1143, \cdot)$
1-1205-1205.1144-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1144	$0$	✓	✓	$0.131$	$0$	$1.10080$	Character $\chi_{1205}(1144, \cdot)$
1-1205-1205.1148-r0-0-0	$5.59$	$5.59$	$1$	$5 \cdot 241$	1205.1148	$0$	✓	✓	$-0.436$	$0$	$1.82439$	Character $\chi_{1205}(1148, \cdot)$

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 $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 717 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.