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 108 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-735-735.104-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.104	$0$	✓	✓	$0.0153$	$0$	$1.16088$	Character $\chi_{735}(104, \cdot)$
1-735-735.107-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.107	$0$	✓	✓	$0.0455$	$0$	$1.40116$	Character $\chi_{735}(107, \cdot)$
1-735-735.113-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.113	$0$	✓	✓	$-0.297$	$0$	$0.848235$	Character $\chi_{735}(113, \cdot)$
1-735-735.137-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.137	$0$	✓	✓	$-0.396$	$0$	$0.630380$	Character $\chi_{735}(137, \cdot)$
1-735-735.158-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.158	$0$	✓	✓	$-0.0455$	$0$	$1.07655$	Character $\chi_{735}(158, \cdot)$
1-735-735.164-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.164	$0$	✓	✓	$0.141$	$0$	$1.06634$	Character $\chi_{735}(164, \cdot)$
1-735-735.194-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.194	$0$	✓	✓	$0.375$	$0$	$1.79204$	Character $\chi_{735}(194, \cdot)$
1-735-735.2-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.2	$0$	✓	✓	$-0.0360$	$0$	$1.33670$	Character $\chi_{735}(2, \cdot)$
1-735-735.209-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.209	$0$	✓	✓	$-0.290$	$0$	$0.279679$	Character $\chi_{735}(209, \cdot)$
1-735-735.212-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.212	$0$	✓	✓	$-0.396$	$0$	$2.07050$	Character $\chi_{735}(212, \cdot)$
1-735-735.218-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.218	$0$	✓	✓	$0.437$	$0$	$1.88108$	Character $\chi_{735}(218, \cdot)$
1-735-735.23-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.23	$0$	✓	✓	$-0.229$	$0$	$0.891522$	Character $\chi_{735}(23, \cdot)$
1-735-735.233-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.233	$0$	✓	✓	$0.219$	$0$	$1.59350$	Character $\chi_{735}(233, \cdot)$
1-735-735.242-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.242	$0$	✓	✓	$0.0727$	$0$	$0.802646$	Character $\chi_{735}(242, \cdot)$
1-735-735.269-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.269	$0$	✓	✓	$-0.375$	$0$	$0.669967$	Character $\chi_{735}(269, \cdot)$
1-735-735.299-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.299	$0$	✓	✓	$-0.0153$	$0$	$1.44669$	Character $\chi_{735}(299, \cdot)$
1-735-735.302-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.302	$0$	✓	✓	$0.0727$	$0$	$1.32515$	Character $\chi_{735}(302, \cdot)$
1-735-735.314-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.314	$0$	✓	✓	$0.474$	$0$	$1.71639$	Character $\chi_{735}(314, \cdot)$
1-735-735.317-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.317	$0$	✓	✓	$0.446$	$0$	$1.23891$	Character $\chi_{735}(317, \cdot)$
1-735-735.32-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.32	$0$	✓	✓	$0.229$	$0$	$0.980211$	Character $\chi_{735}(32, \cdot)$
1-735-735.323-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.323	$0$	✓	✓	$-0.113$	$0$	$0.497104$	Character $\chi_{735}(323, \cdot)$
1-735-735.338-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.338	$0$	✓	✓	$0.396$	$0$	$1.35193$	Character $\chi_{735}(338, \cdot)$
1-735-735.347-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.347	$0$	✓	✓	$-0.219$	$0$	$0.942551$	Character $\chi_{735}(347, \cdot)$
1-735-735.368-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.368	$0$	✓	✓	$0.0360$	$0$	$0.727743$	Character $\chi_{735}(368, \cdot)$
1-735-735.404-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.404	$0$	✓	✓	$-0.192$	$0$	$1.02848$	Character $\chi_{735}(404, \cdot)$
1-735-735.407-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.407	$0$	✓	✓	$0.378$	$0$	$1.25904$	Character $\chi_{735}(407, \cdot)$
1-735-735.419-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.419	$0$	✓	✓	$-0.474$	$0$	$0.468088$	Character $\chi_{735}(419, \cdot)$
1-735-735.428-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.428	$0$	✓	✓	$-0.378$	$0$	$0.487676$	Character $\chi_{735}(428, \cdot)$
1-735-735.443-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.443	$0$	✓	✓	$0.287$	$0$	$1.10017$	Character $\chi_{735}(443, \cdot)$
1-735-735.452-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.452	$0$	✓	✓	$-0.369$	$0$	$0.236906$	Character $\chi_{735}(452, \cdot)$
1-735-735.473-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.473	$0$	✓	✓	$-0.446$	$0$	$0.330120$	Character $\chi_{735}(473, \cdot)$
1-735-735.479-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.479	$0$	✓	✓	$0.0425$	$0$	$1.16773$	Character $\chi_{735}(479, \cdot)$
1-735-735.512-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.512	$0$	✓	✓	$0.113$	$0$	$1.10841$	Character $\chi_{735}(512, \cdot)$
1-735-735.524-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.524	$0$	✓	✓	$0.290$	$0$	$1.41733$	Character $\chi_{735}(524, \cdot)$
1-735-735.527-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.527	$0$	✓	✓	$-0.104$	$0$	$0.877682$	Character $\chi_{735}(527, \cdot)$
1-735-735.53-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.53	$0$	✓	✓	$0.104$	$0$	$1.05418$	Character $\chi_{735}(53, \cdot)$
1-735-735.533-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.533	$0$	✓	✓	$-0.0727$	$0$	$1.24008$	Character $\chi_{735}(533, \cdot)$
1-735-735.548-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.548	$0$	✓	✓	$0.369$	$0$	$1.36213$	Character $\chi_{735}(548, \cdot)$
1-735-735.578-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.578	$0$	✓	✓	$-0.0727$	$0$	$0.535605$	Character $\chi_{735}(578, \cdot)$
1-735-735.584-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.584	$0$	✓	✓	$0.192$	$0$	$0.985513$	Character $\chi_{735}(584, \cdot)$
1-735-735.59-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.59	$0$	✓	✓	$0.0153$	$0$	$1.10836$	Character $\chi_{735}(59, \cdot)$
1-735-735.614-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.614	$0$	✓	✓	$-0.141$	$0$	$0.703033$	Character $\chi_{735}(614, \cdot)$
1-735-735.617-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.617	$0$	✓	✓	$-0.437$	$0$	$0.542397$	Character $\chi_{735}(617, \cdot)$
1-735-735.629-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.629	$0$	✓	✓	$-0.0153$	$0$	$0.566758$	Character $\chi_{735}(629, \cdot)$
1-735-735.632-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.632	$0$	✓	✓	$0.0727$	$0$	$1.34486$	Character $\chi_{735}(632, \cdot)$
1-735-735.653-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.653	$0$	✓	✓	$-0.0727$	$0$	$0.918580$	Character $\chi_{735}(653, \cdot)$
1-735-735.662-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.662	$0$	✓	✓	$-0.287$	$0$	$0.579012$	Character $\chi_{735}(662, \cdot)$
1-735-735.683-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.683	$0$	✓	✓	$0.396$	$0$	$0.184510$	Character $\chi_{735}(683, \cdot)$
1-735-735.689-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.689	$0$	✓	✓	$-0.0153$	$0$	$0.903610$	Character $\chi_{735}(689, \cdot)$
1-735-735.719-r0-0-0	$3.41$	$3.41$	$1$	$3 \cdot 5 \cdot 7^{2}$	735.719	$0$	✓	✓	$0.0153$	$0$	$0.677196$	Character $\chi_{735}(719, \cdot)$

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 $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 108 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.