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 68 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-812-812.107-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.107	$1$	✓	✓	$-0.326$	$0$	$1.73787$	Character $\chi_{812}(107, \cdot)$
1-812-812.123-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.123	$1$	✓	✓	$0.453$	$0$	$0.0782983$	Character $\chi_{812}(123, \cdot)$
1-812-812.131-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.131	$1$	✓	✓	$-0.481$	$0$	$1.40511$	Character $\chi_{812}(131, \cdot)$
1-812-812.143-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.143	$1$	✓	✓	$-0.188$	$0$	$0.163815$	Character $\chi_{812}(143, \cdot)$
1-812-812.151-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.151	$1$	✓	✓	$0.431$	$0$	$1.26775$	Character $\chi_{812}(151, \cdot)$
1-812-812.159-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.159	$1$	✓	✓	$0.188$	$0$	$0.676255$	Character $\chi_{812}(159, \cdot)$
1-812-812.171-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.171	$1$	✓	✓	$0.338$	$0$	$1.40852$	Character $\chi_{812}(171, \cdot)$
1-812-812.179-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.179	$1$	✓	✓	$0.0480$	$0$	$0.812529$	Character $\chi_{812}(179, \cdot)$
1-812-812.19-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.19	$1$	✓	✓	$-0.338$	$0$	$0.262934$	Character $\chi_{812}(19, \cdot)$
1-812-812.195-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.195	$1$	✓	✓	$-0.384$	$0$	$0.257021$	Character $\chi_{812}(195, \cdot)$
1-812-812.207-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.207	$1$	✓	✓	$0.397$	$0$	$1.39235$	Character $\chi_{812}(207, \cdot)$
1-812-812.215-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.215	$1$	✓	✓	$0.176$	$0$	$1.11438$	Character $\chi_{812}(215, \cdot)$
1-812-812.219-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.219	$1$	✓	✓	$-0.153$	$0$	$0.448972$	Character $\chi_{812}(219, \cdot)$
1-812-812.23-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.23	$1$	✓	✓	$0.353$	$0$	$0.705285$	Character $\chi_{812}(23, \cdot)$
1-812-812.243-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.243	$1$	✓	✓	$0.284$	$0$	$0.0654011$	Character $\chi_{812}(243, \cdot)$
1-812-812.251-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.251	$1$	✓	✓	$-0.485$	$0$	$0.0939034$	Character $\chi_{812}(251, \cdot)$
1-812-812.27-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.27	$1$	✓	✓	$-0.0418$	$0$	$0.662774$	Character $\chi_{812}(27, \cdot)$
1-812-812.271-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.271	$1$	✓	✓	$-0.476$	$0$	$1.27594$	Character $\chi_{812}(271, \cdot)$
1-812-812.279-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.279	$1$	✓	✓	$0.384$	$0$	$1.55984$	Character $\chi_{812}(279, \cdot)$
1-812-812.3-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.3	$1$	✓	✓	$0.476$	$0$	$0.380430$	Character $\chi_{812}(3, \cdot)$
1-812-812.303-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.303	$1$	✓	✓	$-0.205$	$0$	$0.666671$	Character $\chi_{812}(303, \cdot)$
1-812-812.307-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.307	$1$	✓	✓	$-0.0302$	$0$	$0.944981$	Character $\chi_{812}(307, \cdot)$
1-812-812.31-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.31	$1$	✓	✓	$0.481$	$0$	$0.300090$	Character $\chi_{812}(31, \cdot)$
1-812-812.311-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.311	$1$	✓	✓	$0.468$	$0$	$1.37687$	Character $\chi_{812}(311, \cdot)$
1-812-812.327-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.327	$1$	✓	✓	$0.00865$	$0$	$0.689981$	Character $\chi_{812}(327, \cdot)$
1-812-812.347-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.347	$1$	✓	✓	$0.239$	$0$	$0.901741$	Character $\chi_{812}(347, \cdot)$
1-812-812.363-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.363	$1$	✓	✓	$0.372$	$0$	$0.417756$	Character $\chi_{812}(363, \cdot)$
1-812-812.367-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.367	$1$	✓	✓	$0.368$	$0$	$1.22759$	Character $\chi_{812}(367, \cdot)$
1-812-812.391-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.391	$1$	✓	✓	$0.0418$	$0$	$0.640761$	Character $\chi_{812}(391, \cdot)$
1-812-812.395-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.395	$1$	✓	✓	$0.238$	$0$	$0.768504$	Character $\chi_{812}(395, \cdot)$
1-812-812.415-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.415	$1$	✓	✓	$-0.274$	$0$	$0.299158$	Character $\chi_{812}(415, \cdot)$
1-812-812.423-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.423	$1$	✓	✓	$-0.176$	$0$	$0.314565$	Character $\chi_{812}(423, \cdot)$
1-812-812.431-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.431	$1$	✓	✓	$0.0262$	$0$	$0.984197$	Character $\chi_{812}(431, \cdot)$
1-812-812.447-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.447	$1$	✓	✓	$0.0302$	$0$	$0.669965$	Character $\chi_{812}(447, \cdot)$
1-812-812.459-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.459	$1$	✓	✓	$-0.353$	$0$	$0.167591$	Character $\chi_{812}(459, \cdot)$
1-812-812.467-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.467	$1$	✓	✓	$-0.230$	$0$	$0.0693339$	Character $\chi_{812}(467, \cdot)$
1-812-812.47-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.47	$1$	✓	✓	$-0.468$	$0$	$0.0448285$	Character $\chi_{812}(47, \cdot)$
1-812-812.471-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.471	$1$	✓	✓	$-0.0262$	$0$	$0.869828$	Character $\chi_{812}(471, \cdot)$
1-812-812.475-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.475	$1$	✓	✓	$0.137$	$0$	$0.753993$	Character $\chi_{812}(475, \cdot)$
1-812-812.479-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.479	$1$	✓	✓	$0.225$	$0$	$1.02588$	Character $\chi_{812}(479, \cdot)$
1-812-812.487-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.487	$1$	✓	✓	$-0.166$	$0$	$0.786057$	Character $\chi_{812}(487, \cdot)$
1-812-812.495-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.495	$1$	✓	✓	$-0.225$	$0$	$0.525866$	Character $\chi_{812}(495, \cdot)$
1-812-812.499-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.499	$1$	✓	✓	$-0.0480$	$0$	$0.775231$	Character $\chi_{812}(499, \cdot)$
1-812-812.503-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.503	$1$	✓	✓	$0.376$	$0$	$1.23404$	Character $\chi_{812}(503, \cdot)$
1-812-812.507-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.507	$1$	✓	✓	$-0.104$	$0$	$0.878439$	Character $\chi_{812}(507, \cdot)$
1-812-812.51-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.51	$1$	✓	✓	$-0.397$	$0$	$0.123868$	Character $\chi_{812}(51, \cdot)$
1-812-812.515-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.515	$1$	✓	✓	$0.0824$	$0$	$1.01082$	Character $\chi_{812}(515, \cdot)$
1-812-812.527-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.527	$1$	✓	✓	$-0.431$	$0$	$0.372856$	Character $\chi_{812}(527, \cdot)$
1-812-812.55-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.55	$1$	✓	✓	$0.485$	$0$	$0.877648$	Character $\chi_{812}(55, \cdot)$
1-812-812.555-r1-0-0	$87.2$	$87.2$	$1$	$2^{2} \cdot 7 \cdot 29$	812.555	$1$	✓	✓	$-0.0824$	$0$	$0.269133$	Character $\chi_{812}(555, \cdot)$

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 68 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.