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 98 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1005-1005.104-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.104	$1$	✓	✓	$-0.400$	$0$	$1.35042$	Character $\chi_{1005}(104, \cdot)$
1-1005-1005.113-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.113	$1$	✓	✓	$-0.0336$	$0$	$0.710009$	Character $\chi_{1005}(113, \cdot)$
1-1005-1005.128-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.128	$1$	✓	✓	$0.0337$	$0$	$0.488740$	Character $\chi_{1005}(128, \cdot)$
1-1005-1005.137-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.137	$1$	✓	✓	$-0.177$	$0$	$0.313973$	Character $\chi_{1005}(137, \cdot)$
1-1005-1005.14-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.14	$1$	✓	✓	$-0.400$	$0$	$0.0285872$	Character $\chi_{1005}(14, \cdot)$
1-1005-1005.149-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.149	$1$	✓	✓	$0.437$	$0$	$0.141128$	Character $\chi_{1005}(149, \cdot)$
1-1005-1005.152-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.152	$1$	✓	✓	$0.457$	$0$	$0.180208$	Character $\chi_{1005}(152, \cdot)$
1-1005-1005.182-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.182	$1$	✓	✓	$-0.289$	$0$	$0.0561948$	Character $\chi_{1005}(182, \cdot)$
1-1005-1005.194-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.194	$1$	✓	✓	$0.138$	$0$	$1.03310$	Character $\chi_{1005}(194, \cdot)$
1-1005-1005.197-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.197	$1$	✓	✓	$-0.299$	$0$	$0.176363$	Character $\chi_{1005}(197, \cdot)$
1-1005-1005.2-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.2	$1$	✓	✓	$0.0667$	$0$	$0.699558$	Character $\chi_{1005}(2, \cdot)$
1-1005-1005.203-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.203	$1$	✓	✓	$-0.109$	$0$	$0.125064$	Character $\chi_{1005}(203, \cdot)$
1-1005-1005.212-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.212	$1$	✓	✓	$-0.0337$	$0$	$0.789719$	Character $\chi_{1005}(212, \cdot)$
1-1005-1005.224-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.224	$1$	✓	✓	$0.492$	$0$	$1.06502$	Character $\chi_{1005}(224, \cdot)$
1-1005-1005.233-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.233	$1$	✓	✓	$0.114$	$0$	$0.543756$	Character $\chi_{1005}(233, \cdot)$
1-1005-1005.242-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.242	$1$	✓	✓	$-0.281$	$0$	$0.530286$	Character $\chi_{1005}(242, \cdot)$
1-1005-1005.284-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.284	$1$	✓	✓	$-0.0385$	$0$	$0.725658$	Character $\chi_{1005}(284, \cdot)$
1-1005-1005.29-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.29	$1$	✓	✓	$0.400$	$0$	$0.235142$	Character $\chi_{1005}(29, \cdot)$
1-1005-1005.302-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.302	$1$	✓	✓	$0.109$	$0$	$0.877231$	Character $\chi_{1005}(302, \cdot)$
1-1005-1005.32-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.32	$1$	✓	✓	$0.290$	$0$	$1.60422$	Character $\chi_{1005}(32, \cdot)$
1-1005-1005.338-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.338	$1$	✓	✓	$-0.353$	$0$	$0.261971$	Character $\chi_{1005}(338, \cdot)$
1-1005-1005.344-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.344	$1$	✓	✓	$-0.437$	$0$	$1.10459$	Character $\chi_{1005}(344, \cdot)$
1-1005-1005.347-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.347	$1$	✓	✓	$0.126$	$0$	$0.420280$	Character $\chi_{1005}(347, \cdot)$
1-1005-1005.353-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.353	$1$	✓	✓	$0.281$	$0$	$0.953094$	Character $\chi_{1005}(353, \cdot)$
1-1005-1005.359-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.359	$1$	✓	✓	$0.400$	$0$	$1.24500$	Character $\chi_{1005}(359, \cdot)$
1-1005-1005.362-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.362	$1$	✓	✓	$0.329$	$0$	$1.28051$	Character $\chi_{1005}(362, \cdot)$
1-1005-1005.374-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.374	$1$	✓	✓	$-0.0282$	$0$	$0.911919$	Character $\chi_{1005}(374, \cdot)$
1-1005-1005.377-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.377	$1$	✓	✓	$-0.214$	$0$	$0.712656$	Character $\chi_{1005}(377, \cdot)$
1-1005-1005.38-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.38	$1$	✓	✓	$-0.221$	$0$	$0.0988942$	Character $\chi_{1005}(38, \cdot)$
1-1005-1005.383-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.383	$1$	✓	✓	$-0.466$	$0$	$0.608953$	Character $\chi_{1005}(383, \cdot)$
1-1005-1005.389-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.389	$1$	✓	✓	$-0.356$	$0$	$0.479732$	Character $\chi_{1005}(389, \cdot)$
1-1005-1005.392-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.392	$1$	✓	✓	$0.0146$	$0$	$0.539618$	Character $\chi_{1005}(392, \cdot)$
1-1005-1005.398-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.398	$1$	✓	✓	$-0.475$	$0$	$0.387040$	Character $\chi_{1005}(398, \cdot)$
1-1005-1005.407-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.407	$1$	✓	✓	$-0.153$	$0$	$0.687355$	Character $\chi_{1005}(407, \cdot)$
1-1005-1005.413-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.413	$1$	✓	✓	$-0.209$	$0$	$1.94385$	Character $\chi_{1005}(413, \cdot)$
1-1005-1005.419-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.419	$1$	✓	✓	$-0.288$	$0$	$0.717626$	Character $\chi_{1005}(419, \cdot)$
1-1005-1005.422-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.422	$1$	✓	✓	$0.161$	$0$	$1.15416$	Character $\chi_{1005}(422, \cdot)$
1-1005-1005.443-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.443	$1$	✓	✓	$-0.457$	$0$	$1.70038$	Character $\chi_{1005}(443, \cdot)$
1-1005-1005.449-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.449	$1$	✓	✓	$-0.309$	$0$	$0.557900$	Character $\chi_{1005}(449, \cdot)$
1-1005-1005.452-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.452	$1$	✓	✓	$0.475$	$0$	$1.07561$	Character $\chi_{1005}(452, \cdot)$
1-1005-1005.464-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.464	$1$	✓	✓	$-0.466$	$0$	$1.70422$	Character $\chi_{1005}(464, \cdot)$
1-1005-1005.479-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.479	$1$	✓	✓	$0.309$	$0$	$0.835661$	Character $\chi_{1005}(479, \cdot)$
1-1005-1005.482-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.482	$1$	✓	✓	$0.376$	$0$	$1.53104$	Character $\chi_{1005}(482, \cdot)$
1-1005-1005.494-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.494	$1$	✓	✓	$-0.246$	$0$	$0.219167$	Character $\chi_{1005}(494, \cdot)$
1-1005-1005.497-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.497	$1$	✓	✓	$0.0495$	$0$	$0.695213$	Character $\chi_{1005}(497, \cdot)$
1-1005-1005.503-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.503	$1$	✓	✓	$-0.0667$	$0$	$0.0888229$	Character $\chi_{1005}(503, \cdot)$
1-1005-1005.509-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.509	$1$	✓	✓	$0.466$	$0$	$0.0677711$	Character $\chi_{1005}(509, \cdot)$
1-1005-1005.512-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.512	$1$	✓	✓	$-0.118$	$0$	$0.621853$	Character $\chi_{1005}(512, \cdot)$
1-1005-1005.524-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.524	$1$	✓	✓	$0.0282$	$0$	$0.423301$	Character $\chi_{1005}(524, \cdot)$
1-1005-1005.527-r1-0-0	$108.$	$108.$	$1$	$3 \cdot 5 \cdot 67$	1005.527	$1$	✓	✓	$-0.239$	$0$	$0.352487$	Character $\chi_{1005}(527, \cdot)$

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 98 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.