LMFDB - L-function search results

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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

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Results (1-50 of 281 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-283-283.10-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.10	$0$	✓	✓	$0.155$	$0$	$1.66595$	Character $\chi_{283}(10, \cdot)$
1-283-283.100-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.100	$0$	✓	✓	$-0.174$	$0$	$1.32147$	Character $\chi_{283}(100, \cdot)$
1-283-283.101-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.101	$0$	✓	✓	$0.280$	$0$	$2.33987$	Character $\chi_{283}(101, \cdot)$
1-283-283.103-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.103	$0$	✓	✓	$0.446$	$0$	$1.39336$	Character $\chi_{283}(103, \cdot)$
1-283-283.105-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.105	$0$	✓	✓	$-0.344$	$0$	$1.14059$	Character $\chi_{283}(105, \cdot)$
1-283-283.106-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.106	$0$	✓	✓	$-0.463$	$0$	$0.427066$	Character $\chi_{283}(106, \cdot)$
1-283-283.11-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.11	$0$	✓	✓	$-0.446$	$0$	$0.662708$	Character $\chi_{283}(11, \cdot)$
1-283-283.110-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.110	$0$	✓	✓	$-0.0572$	$0$	$1.46539$	Character $\chi_{283}(110, \cdot)$
1-283-283.111-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.111	$0$	✓	✓	$0.0768$	$0$	$1.60162$	Character $\chi_{283}(111, \cdot)$
1-283-283.112-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.112	$0$	✓	✓	$0.482$	$0$	$1.86942$	Character $\chi_{283}(112, \cdot)$
1-283-283.113-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.113	$0$	✓	✓	$0.260$	$0$	$1.91895$	Character $\chi_{283}(113, \cdot)$
1-283-283.116-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.116	$0$	✓	✓	$-0.145$	$0$	$1.21682$	Character $\chi_{283}(116, \cdot)$
1-283-283.117-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.117	$0$	✓	✓	$-0.159$	$0$	$0.584854$	Character $\chi_{283}(117, \cdot)$
1-283-283.121-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.121	$0$	✓	✓	$0.170$	$0$	$1.38472$	Character $\chi_{283}(121, \cdot)$
1-283-283.127-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.127	$0$	✓	✓	$-0.174$	$0$	$1.10319$	Character $\chi_{283}(127, \cdot)$
1-283-283.129-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.129	$0$	✓	✓	$-0.256$	$0$	$0.604905$	Character $\chi_{283}(129, \cdot)$
1-283-283.13-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.13	$0$	✓	✓	$0.0194$	$0$	$1.16028$	Character $\chi_{283}(13, \cdot)$
1-283-283.130-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.130	$0$	✓	✓	$0.220$	$0$	$1.07885$	Character $\chi_{283}(130, \cdot)$
1-283-283.134-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.134	$0$	✓	✓	$0.256$	$0$	$0.182081$	Character $\chi_{283}(134, \cdot)$
1-283-283.135-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.135	$0$	✓	✓	$-0.0347$	$0$	$1.63111$	Character $\chi_{283}(135, \cdot)$
1-283-283.136-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.136	$0$	✓	✓	$-0.0427$	$0$	$0.961371$	Character $\chi_{283}(136, \cdot)$
1-283-283.137-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.137	$0$	✓	✓	$-0.116$	$0$	$1.80412$	Character $\chi_{283}(137, \cdot)$
1-283-283.138-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.138	$0$	✓	✓	$-0.170$	$0$	$1.28094$	Character $\chi_{283}(138, \cdot)$
1-283-283.141-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.141	$0$	✓	✓	$-0.185$	$0$	$1.59624$	Character $\chi_{283}(141, \cdot)$
1-283-283.143-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.143	$0$	✓	✓	$-0.141$	$0$	$0.939001$	Character $\chi_{283}(143, \cdot)$
1-283-283.144-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.144	$0$	✓	✓	$0.0311$	$0$	$1.41212$	Character $\chi_{283}(144, \cdot)$
1-283-283.15-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.15	$0$	✓	✓	$-0.296$	$0$	$1.10190$	Character $\chi_{283}(15, \cdot)$
1-283-283.150-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.150	$0$	✓	✓	$0.174$	$0$	$2.30677$	Character $\chi_{283}(150, \cdot)$
1-283-283.151-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.151	$0$	✓	✓	$0.296$	$0$	$2.19741$	Character $\chi_{283}(151, \cdot)$
1-283-283.152-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.152	$0$	✓	✓	$0.191$	$0$	$1.46413$	Character $\chi_{283}(152, \cdot)$
1-283-283.155-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.155	$0$	✓	✓	$0.238$	$0$	$1.95390$	Character $\chi_{283}(155, \cdot)$
1-283-283.157-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.157	$0$	✓	✓	$0.116$	$0$	$2.19265$	Character $\chi_{283}(157, \cdot)$
1-283-283.158-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.158	$0$	✓	✓	$-0.104$	$0$	$1.48327$	Character $\chi_{283}(158, \cdot)$
1-283-283.159-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.159	$0$	✓	✓	$0.0159$	$0$	$1.01161$	Character $\chi_{283}(159, \cdot)$
1-283-283.16-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.16	$0$	✓	✓	$-0.0816$	$0$	$0.760206$	Character $\chi_{283}(16, \cdot)$
1-283-283.160-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.160	$0$	✓	✓	$-0.440$	$0$	$0.259706$	Character $\chi_{283}(160, \cdot)$
1-283-283.161-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.161	$0$	✓	✓	$-0.312$	$0$	$3.02017$	Character $\chi_{283}(161, \cdot)$
1-283-283.163-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.163	$0$	✓	✓	$0.104$	$0$	$1.60101$	Character $\chi_{283}(163, \cdot)$
1-283-283.164-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.164	$0$	✓	✓	$-0.269$	$0$	$0.959110$	Character $\chi_{283}(164, \cdot)$
1-283-283.165-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.165	$0$	✓	✓	$-0.240$	$0$	$0.611944$	Character $\chi_{283}(165, \cdot)$
1-283-283.168-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.168	$0$	✓	✓	$0.263$	$0$	$1.17192$	Character $\chi_{283}(168, \cdot)$
1-283-283.169-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.169	$0$	✓	✓	$-0.373$	$0$	$0.747756$	Character $\chi_{283}(169, \cdot)$
1-283-283.174-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.174	$0$	✓	✓	$0.0347$	$0$	$1.95048$	Character $\chi_{283}(174, \cdot)$
1-283-283.175-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.175	$0$	✓	✓	$-0.127$	$0$	$0.901586$	Character $\chi_{283}(175, \cdot)$
1-283-283.176-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.176	$0$	✓	✓	$-0.149$	$0$	$0.805970$	Character $\chi_{283}(176, \cdot)$
1-283-283.179-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.179	$0$	✓	✓	$0.159$	$0$	$1.56034$	Character $\chi_{283}(179, \cdot)$
1-283-283.181-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.181	$0$	✓	✓	$0.223$	$0$	$1.34909$	Character $\chi_{283}(181, \cdot)$
1-283-283.185-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.185	$0$	✓	✓	$0.0179$	$0$	$1.55322$	Character $\chi_{283}(185, \cdot)$
1-283-283.195-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.195	$0$	✓	✓	$0.269$	$0$	$1.91243$	Character $\chi_{283}(195, \cdot)$
1-283-283.196-r0-0-0	$1.31$	$1.31$	$1$	$283$	283.196	$0$	✓	✓	$-0.0194$	$0$	$1.68613$	Character $\chi_{283}(196, \cdot)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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Results (1-50 of 281 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.