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 105 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1480-1480.1003-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1003	$0$	✓	✓			$0.0101$	$0$	$0.963878$	Character $\chi_{1480}(1003, \cdot)$
1-1480-1480.1013-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1013	$0$	✓	✓			$0.0471$	$0$	$1.20066$	Character $\chi_{1480}(1013, \cdot)$
1-1480-1480.1019-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1019	$0$	✓	✓			$0.467$	$0$	$1.39194$	Character $\chi_{1480}(1019, \cdot)$
1-1480-1480.1027-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1027	$0$	✓	✓			$-0.0101$	$0$	$0.590736$	Character $\chi_{1480}(1027, \cdot)$
1-1480-1480.1029-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1029	$0$	✓	✓			$0.276$	$0$	$1.76380$	Character $\chi_{1480}(1029, \cdot)$
1-1480-1480.1043-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1043	$0$	✓	✓			$0.458$	$0$	$0.00637044$	Character $\chi_{1480}(1043, \cdot)$
1-1480-1480.1053-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1053	$0$	✓	✓			$-0.167$	$0$	$0.951040$	Character $\chi_{1480}(1053, \cdot)$
1-1480-1480.1059-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1059	$0$	✓	✓			$-0.0884$	$0$	$0.220032$	Character $\chi_{1480}(1059, \cdot)$
1-1480-1480.1069-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1069	$0$	✓	✓			$0.244$	$0$	$1.07445$	Character $\chi_{1480}(1069, \cdot)$
1-1480-1480.107-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.107	$0$	✓	✓			$-0.167$	$0$	$0.271633$	Character $\chi_{1480}(107, \cdot)$
1-1480-1480.1083-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1083	$0$	✓	✓			$-0.0646$	$0$	$0.754500$	Character $\chi_{1480}(1083, \cdot)$
1-1480-1480.1093-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1093	$0$	✓	✓			$0.379$	$0$	$0.00118375$	Character $\chi_{1480}(1093, \cdot)$
1-1480-1480.1107-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1107	$0$	✓	✓			$0.487$	$0$	$0.218449$	Character $\chi_{1480}(1107, \cdot)$
1-1480-1480.1109-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1109	$0$	✓	✓	✓	✓	$0$	$0$	$0.882211$	Character $\chi_{1480}(1109, \cdot)$
1-1480-1480.1133-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1133	$0$	✓	✓			$-0.176$	$0$	$0.559413$	Character $\chi_{1480}(1133, \cdot)$
1-1480-1480.1139-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1139	$0$	✓	✓			$0.0884$	$0$	$0.747732$	Character $\chi_{1480}(1139, \cdot)$
1-1480-1480.1163-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1163	$0$	✓	✓			$0.365$	$0$	$1.50410$	Character $\chi_{1480}(1163, \cdot)$
1-1480-1480.117-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.117	$0$	✓	✓			$0.199$	$0$	$1.23543$	Character $\chi_{1480}(117, \cdot)$
1-1480-1480.1179-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1179	$0$	✓	✓			$0.483$	$0$	$1.67929$	Character $\chi_{1480}(1179, \cdot)$
1-1480-1480.1187-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1187	$0$	✓	✓			$5.41e-5$	$0$	$0.891508$	Character $\chi_{1480}(1187, \cdot)$
1-1480-1480.1197-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1197	$0$	✓	✓			$-0.379$	$0$	$1.80148$	Character $\chi_{1480}(1197, \cdot)$
1-1480-1480.1213-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1213	$0$	✓	✓			$0.000341$	$0$	$1.09121$	Character $\chi_{1480}(1213, \cdot)$
1-1480-1480.1219-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1219	$0$	✓	✓			$-0.0151$	$0$	$0.738733$	Character $\chi_{1480}(1219, \cdot)$
1-1480-1480.123-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.123	$0$	✓	✓			$-0.487$	$0$	$1.58819$	Character $\chi_{1480}(123, \cdot)$
1-1480-1480.1253-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1253	$0$	✓	✓			$0.395$	$0$	$1.16422$	Character $\chi_{1480}(1253, \cdot)$
1-1480-1480.1267-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1267	$0$	✓	✓			$0.343$	$0$	$1.27915$	Character $\chi_{1480}(1267, \cdot)$
1-1480-1480.1269-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1269	$0$	✓	✓			$0.380$	$0$	$1.46582$	Character $\chi_{1480}(1269, \cdot)$
1-1480-1480.1277-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1277	$0$	✓	✓			$0.0302$	$0$	$0.750909$	Character $\chi_{1480}(1277, \cdot)$
1-1480-1480.1283-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1283	$0$	✓	✓			$5.41e-5$	$0$	$0.704841$	Character $\chi_{1480}(1283, \cdot)$
1-1480-1480.1293-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1293	$0$	✓	✓			$-0.103$	$0$	$0.408574$	Character $\chi_{1480}(1293, \cdot)$
1-1480-1480.13-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.13	$0$	✓	✓			$0.444$	$0$	$0.223629$	Character $\chi_{1480}(13, \cdot)$
1-1480-1480.1307-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1307	$0$	✓	✓			$-0.311$	$0$	$0.501454$	Character $\chi_{1480}(1307, \cdot)$
1-1480-1480.1317-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1317	$0$	✓	✓			$-0.395$	$0$	$0.364000$	Character $\chi_{1480}(1317, \cdot)$
1-1480-1480.1323-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1323	$0$	✓	✓			$-0.186$	$0$	$0.606004$	Character $\chi_{1480}(1323, \cdot)$
1-1480-1480.133-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.133	$0$	✓	✓			$0.428$	$0$	$1.65660$	Character $\chi_{1480}(133, \cdot)$
1-1480-1480.1403-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1403	$0$	✓	✓			$0.311$	$0$	$1.54336$	Character $\chi_{1480}(1403, \cdot)$
1-1480-1480.1419-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1419	$0$	✓	✓			$-0.467$	$0$	$0.0611668$	Character $\chi_{1480}(1419, \cdot)$
1-1480-1480.1427-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1427	$0$	✓	✓			$0.311$	$0$	$1.23439$	Character $\chi_{1480}(1427, \cdot)$
1-1480-1480.1437-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1437	$0$	✓	✓			$-0.0237$	$0$	$1.05000$	Character $\chi_{1480}(1437, \cdot)$
1-1480-1480.1469-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.1469	$0$	✓	✓			$0.476$	$0$	$0.0866112$	Character $\chi_{1480}(1469, \cdot)$
1-1480-1480.147-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.147	$0$	✓	✓			$-0.411$	$0$	$0.641540$	Character $\chi_{1480}(147, \cdot)$
1-1480-1480.179-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.179	$0$	✓	✓			$-0.111$	$0$	$0.852014$	Character $\chi_{1480}(179, \cdot)$
1-1480-1480.189-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.189	$0$	✓	✓			$-0.401$	$0$	$1.50500$	Character $\chi_{1480}(189, \cdot)$
1-1480-1480.19-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.19	$0$	✓	✓			$-0.0578$	$0$	$0.990425$	Character $\chi_{1480}(19, \cdot)$
1-1480-1480.229-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.229	$0$	✓	✓			$0.0463$	$0$	$1.01408$	Character $\chi_{1480}(229, \cdot)$
1-1480-1480.237-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.237	$0$	✓	✓			$-0.238$	$0$	$0.556511$	Character $\chi_{1480}(237, \cdot)$
1-1480-1480.243-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.243	$0$	✓	✓			$0.135$	$0$	$1.03818$	Character $\chi_{1480}(243, \cdot)$
1-1480-1480.253-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.253	$0$	✓	✓			$-0.199$	$0$	$0.336720$	Character $\chi_{1480}(253, \cdot)$
1-1480-1480.269-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.269	$0$	✓	✓			$-0.476$	$0$	$1.33136$	Character $\chi_{1480}(269, \cdot)$
1-1480-1480.27-r0-0-0	$6.87$	$6.87$	$1$	$2^{3} \cdot 5 \cdot 37$	1480.27	$0$	✓	✓			$0.207$	$0$	$1.53723$	Character $\chi_{1480}(27, \cdot)$

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 105 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.