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 94 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-764-764.103-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.103	$1$	✓	✓	$0.131$	$0$	$1.28023$	Character $\chi_{764}(103, \cdot)$
1-764-764.107-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.107	$1$	✓	✓	$-0.136$	$0$	$0.472165$	Character $\chi_{764}(107, \cdot)$
1-764-764.115-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.115	$1$	✓	✓	$0.484$	$0$	$0.126786$	Character $\chi_{764}(115, \cdot)$
1-764-764.135-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.135	$1$	✓	✓	$0.0244$	$0$	$0.551784$	Character $\chi_{764}(135, \cdot)$
1-764-764.147-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.147	$1$	✓	✓	$-0.243$	$0$	$0.211966$	Character $\chi_{764}(147, \cdot)$
1-764-764.15-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.15	$1$	✓	✓	$0.405$	$0$	$0.417384$	Character $\chi_{764}(15, \cdot)$
1-764-764.163-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.163	$1$	✓	✓	$-0.444$	$0$	$0.0833387$	Character $\chi_{764}(163, \cdot)$
1-764-764.195-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.195	$1$	✓	✓	$0.487$	$0$	$1.29902$	Character $\chi_{764}(195, \cdot)$
1-764-764.199-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.199	$1$	✓	✓	$0.260$	$0$	$1.12788$	Character $\chi_{764}(199, \cdot)$
1-764-764.203-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.203	$1$	✓	✓	$0.263$	$0$	$1.35789$	Character $\chi_{764}(203, \cdot)$
1-764-764.207-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.207	$1$	✓	✓	$-0.263$	$0$	$0.439371$	Character $\chi_{764}(207, \cdot)$
1-764-764.211-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.211	$1$	✓	✓	$-0.390$	$0$	$0.173038$	Character $\chi_{764}(211, \cdot)$
1-764-764.215-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.215	$1$	✓	✓	$-0.260$	$0$	$0.450570$	Character $\chi_{764}(215, \cdot)$
1-764-764.223-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.223	$1$	✓	✓	$0.354$	$0$	$0.212192$	Character $\chi_{764}(223, \cdot)$
1-764-764.227-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.227	$1$	✓	✓	$0.0967$	$0$	$0.891310$	Character $\chi_{764}(227, \cdot)$
1-764-764.23-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.23	$1$	✓	✓	$-0.468$	$0$	$1.39062$	Character $\chi_{764}(23, \cdot)$
1-764-764.231-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.231	$1$	✓	✓	$0.0477$	$0$	$0.893405$	Character $\chi_{764}(231, \cdot)$
1-764-764.239-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.239	$1$	✓	✓	$-0.487$	$0$	$0.232799$	Character $\chi_{764}(239, \cdot)$
1-764-764.243-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.243	$1$	✓	✓	$0.347$	$0$	$0.129736$	Character $\chi_{764}(243, \cdot)$
1-764-764.251-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.251	$1$	✓	✓	$-0.156$	$0$	$0.743370$	Character $\chi_{764}(251, \cdot)$
1-764-764.255-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.255	$1$	✓	✓	$0.279$	$0$	$0.870151$	Character $\chi_{764}(255, \cdot)$
1-764-764.259-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.259	$1$	✓	✓	$-0.196$	$0$	$0.678720$	Character $\chi_{764}(259, \cdot)$
1-764-764.263-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.263	$1$	✓	✓	$0.0558$	$0$	$0.917983$	Character $\chi_{764}(263, \cdot)$
1-764-764.27-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.27	$1$	✓	✓	$0.0736$	$0$	$0.987087$	Character $\chi_{764}(27, \cdot)$
1-764-764.271-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.271	$1$	✓	✓	$0.491$	$0$	$0.0846415$	Character $\chi_{764}(271, \cdot)$
1-764-764.283-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.283	$1$	✓	✓	$-0.0736$	$0$	$0.520620$	Character $\chi_{764}(283, \cdot)$
1-764-764.287-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.287	$1$	✓	✓	$0.297$	$0$	$1.06645$	Character $\chi_{764}(287, \cdot)$
1-764-764.291-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.291	$1$	✓	✓	$0.423$	$0$	$0.760225$	Character $\chi_{764}(291, \cdot)$
1-764-764.295-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.295	$1$	✓	✓	$-0.461$	$0$	$1.23874$	Character $\chi_{764}(295, \cdot)$
1-764-764.299-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.299	$1$	✓	✓	$0.468$	$0$	$0.493325$	Character $\chi_{764}(299, \cdot)$
1-764-764.3-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.3	$1$	✓	✓	$-0.279$	$0$	$0.0553086$	Character $\chi_{764}(3, \cdot)$
1-764-764.311-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.311	$1$	✓	✓	$-0.442$	$0$	$0.308964$	Character $\chi_{764}(311, \cdot)$
1-764-764.319-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.319	$1$	✓	✓	$0.380$	$0$	$1.13387$	Character $\chi_{764}(319, \cdot)$
1-764-764.327-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.327	$1$	✓	✓	$0.155$	$0$	$0.728171$	Character $\chi_{764}(327, \cdot)$
1-764-764.335-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.335	$1$	✓	✓	$-0.143$	$0$	$0.333528$	Character $\chi_{764}(335, \cdot)$
1-764-764.347-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.347	$1$	✓	✓	$0.156$	$0$	$0.923058$	Character $\chi_{764}(347, \cdot)$
1-764-764.351-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.351	$1$	✓	✓	$0.424$	$0$	$1.17584$	Character $\chi_{764}(351, \cdot)$
1-764-764.363-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.363	$1$	✓	✓	$-0.356$	$0$	$1.87283$	Character $\chi_{764}(363, \cdot)$
1-764-764.371-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.371	$1$	✓	✓	$-0.347$	$0$	$1.27019$	Character $\chi_{764}(371, \cdot)$
1-764-764.375-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.375	$1$	✓	✓	$-0.225$	$0$	$0.853690$	Character $\chi_{764}(375, \cdot)$
1-764-764.387-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.387	$1$	✓	✓	$-0.189$	$0$	$0.427830$	Character $\chi_{764}(387, \cdot)$
1-764-764.39-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.39	$1$	✓	✓	$0.110$	$0$	$0.839950$	Character $\chi_{764}(39, \cdot)$
1-764-764.391-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.391	$1$	✓	✓	$-0.493$	$0$	$1.69835$	Character $\chi_{764}(391, \cdot)$
1-764-764.395-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.395	$1$	✓	✓	$0.243$	$0$	$1.01203$	Character $\chi_{764}(395, \cdot)$
1-764-764.399-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.399	$1$	✓	✓	$0.452$	$0$	$0.100431$	Character $\chi_{764}(399, \cdot)$
1-764-764.407-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.407	$1$	✓	✓	$0.136$	$0$	$0.626067$	Character $\chi_{764}(407, \cdot)$
1-764-764.427-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.427	$1$	✓	✓	$-0.452$	$0$	$1.52349$	Character $\chi_{764}(427, \cdot)$
1-764-764.43-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.43	$1$	✓	✓	$-0.0477$	$0$	$0.528489$	Character $\chi_{764}(43, \cdot)$
1-764-764.431-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.431	$1$	✓	✓	$-0.110$	$0$	$0.197534$	Character $\chi_{764}(431, \cdot)$
1-764-764.447-r1-0-0	$82.1$	$82.1$	$1$	$2^{2} \cdot 191$	764.447	$1$	✓	✓	$0.143$	$0$	$0.520511$	Character $\chi_{764}(447, \cdot)$

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 94 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.