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 192 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-675-675.106-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.106	$0$	✓	✓	$-0.204$	$0$	$1.03246$	Character $\chi_{675}(106, \cdot)$
1-675-675.113-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.113	$0$	✓	✓	$-0.455$	$0$	$1.65585$	Character $\chi_{675}(113, \cdot)$
1-675-675.121-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.121	$0$	✓	✓	$0.204$	$0$	$1.75612$	Character $\chi_{675}(121, \cdot)$
1-675-675.122-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.122	$0$	✓	✓	$0.454$	$0$	$0.287515$	Character $\chi_{675}(122, \cdot)$
1-675-675.128-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.128	$0$	✓	✓	$-0.341$	$0$	$0.721929$	Character $\chi_{675}(128, \cdot)$
1-675-675.137-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.137	$0$	✓	✓	$-0.0848$	$0$	$0.820372$	Character $\chi_{675}(137, \cdot)$
1-675-675.139-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.139	$0$	✓	✓	$-0.248$	$0$	$0.183950$	Character $\chi_{675}(139, \cdot)$
1-675-675.158-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.158	$0$	✓	✓	$-0.158$	$0$	$0.845069$	Character $\chi_{675}(158, \cdot)$
1-675-675.16-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.16	$0$	✓	✓	$-0.0848$	$0$	$0.578649$	Character $\chi_{675}(16, \cdot)$
1-675-675.166-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.166	$0$	✓	✓	$-0.288$	$0$	$0.256112$	Character $\chi_{675}(166, \cdot)$
1-675-675.167-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.167	$0$	✓	✓	$-0.325$	$0$	$0.789395$	Character $\chi_{675}(167, \cdot)$
1-675-675.169-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.169	$0$	✓	✓	$-0.371$	$0$	$0.762109$	Character $\chi_{675}(169, \cdot)$
1-675-675.173-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.173	$0$	✓	✓	$0.455$	$0$	$1.42510$	Character $\chi_{675}(173, \cdot)$
1-675-675.184-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.184	$0$	✓	✓	$0.0448$	$0$	$0.973468$	Character $\chi_{675}(184, \cdot)$
1-675-675.196-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.196	$0$	✓	✓	$0.408$	$0$	$1.65773$	Character $\chi_{675}(196, \cdot)$
1-675-675.2-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.2	$0$	✓	✓	$0.455$	$0$	$2.08309$	Character $\chi_{675}(2, \cdot)$
1-675-675.203-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.203	$0$	✓	✓	$-0.0451$	$0$	$0.658327$	Character $\chi_{675}(203, \cdot)$
1-675-675.211-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.211	$0$	✓	✓	$0.0848$	$0$	$1.00908$	Character $\chi_{675}(211, \cdot)$
1-675-675.212-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.212	$0$	✓	✓	$0.211$	$0$	$1.73010$	Character $\chi_{675}(212, \cdot)$
1-675-675.214-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.214	$0$	✓	✓	$-0.0448$	$0$	$1.29714$	Character $\chi_{675}(214, \cdot)$
1-675-675.227-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.227	$0$	✓	✓	$0.455$	$0$	$0.373571$	Character $\chi_{675}(227, \cdot)$
1-675-675.229-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.229	$0$	✓	✓	$-0.295$	$0$	$0.377765$	Character $\chi_{675}(229, \cdot)$
1-675-675.23-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.23	$0$	✓	✓	$-0.248$	$0$	$0.0693804$	Character $\chi_{675}(23, \cdot)$
1-675-675.241-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.241	$0$	✓	✓	$-0.0848$	$0$	$1.16488$	Character $\chi_{675}(241, \cdot)$
1-675-675.248-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.248	$0$	✓	✓	$0.0848$	$0$	$1.46738$	Character $\chi_{675}(248, \cdot)$
1-675-675.256-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.256	$0$	✓	✓	$-0.0751$	$0$	$1.37560$	Character $\chi_{675}(256, \cdot)$
1-675-675.259-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.259	$0$	✓	✓	$-0.0848$	$0$	$1.49771$	Character $\chi_{675}(259, \cdot)$
1-675-675.263-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.263	$0$	✓	✓	$0.248$	$0$	$1.23519$	Character $\chi_{675}(263, \cdot)$
1-675-675.272-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.272	$0$	✓	✓	$-0.174$	$0$	$1.06448$	Character $\chi_{675}(272, \cdot)$
1-675-675.286-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.286	$0$	✓	✓	$-0.0448$	$0$	$1.03074$	Character $\chi_{675}(286, \cdot)$
1-675-675.302-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.302	$0$	✓	✓	$0.0848$	$0$	$0.760384$	Character $\chi_{675}(302, \cdot)$
1-675-675.304-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.304	$0$	✓	✓	$-0.0914$	$0$	$1.16115$	Character $\chi_{675}(304, \cdot)$
1-675-675.308-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.308	$0$	✓	✓	$-0.454$	$0$	$0.464503$	Character $\chi_{675}(308, \cdot)$
1-675-675.31-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.31	$0$	✓	✓	$-0.408$	$0$	$0.334667$	Character $\chi_{675}(31, \cdot)$
1-675-675.317-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.317	$0$	✓	✓	$0.378$	$0$	$1.99001$	Character $\chi_{675}(317, \cdot)$
1-675-675.319-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.319	$0$	✓	✓	$0.424$	$0$	$0.109189$	Character $\chi_{675}(319, \cdot)$
1-675-675.331-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.331	$0$	✓	✓	$0.128$	$0$	$0.827878$	Character $\chi_{675}(331, \cdot)$
1-675-675.338-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.338	$0$	✓	✓	$-0.455$	$0$	$0.539646$	Character $\chi_{675}(338, \cdot)$
1-675-675.34-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.34	$0$	✓	✓	$0.248$	$0$	$1.25740$	Character $\chi_{675}(34, \cdot)$
1-675-675.346-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.346	$0$	✓	✓	$0.204$	$0$	$0.877860$	Character $\chi_{675}(346, \cdot)$
1-675-675.347-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.347	$0$	✓	✓	$0.121$	$0$	$1.11677$	Character $\chi_{675}(347, \cdot)$
1-675-675.353-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.353	$0$	✓	✓	$0.325$	$0$	$1.20726$	Character $\chi_{675}(353, \cdot)$
1-675-675.362-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.362	$0$	✓	✓	$-0.0848$	$0$	$0.475145$	Character $\chi_{675}(362, \cdot)$
1-675-675.364-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.364	$0$	✓	✓	$0.0848$	$0$	$1.13420$	Character $\chi_{675}(364, \cdot)$
1-675-675.38-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.38	$0$	✓	✓	$-0.0848$	$0$	$0.858951$	Character $\chi_{675}(38, \cdot)$
1-675-675.383-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.383	$0$	✓	✓	$0.174$	$0$	$1.21300$	Character $\chi_{675}(383, \cdot)$
1-675-675.391-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.391	$0$	✓	✓	$0.0448$	$0$	$1.29914$	Character $\chi_{675}(391, \cdot)$
1-675-675.392-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.392	$0$	✓	✓	$-0.325$	$0$	$0.396116$	Character $\chi_{675}(392, \cdot)$
1-675-675.394-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.394	$0$	✓	✓	$0.295$	$0$	$1.56927$	Character $\chi_{675}(394, \cdot)$
1-675-675.398-r0-0-0	$3.13$	$3.13$	$1$	$3^{3} \cdot 5^{2}$	675.398	$0$	✓	✓	$-0.211$	$0$	$1.07207$	Character $\chi_{675}(398, \cdot)$

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 192 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.