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 180 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-459-459.106-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.106	$0$	✓	✓	$0.318$	$0$	$1.92958$	Character $\chi_{459}(106, \cdot)$
1-459-459.11-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.11	$0$	✓	✓	$0.381$	$0$	$0.247956$	Character $\chi_{459}(11, \cdot)$
1-459-459.113-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.113	$0$	✓	✓	$-0.211$	$0$	$0.350241$	Character $\chi_{459}(113, \cdot)$
1-459-459.115-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.115	$0$	✓	✓	$0.107$	$0$	$1.14098$	Character $\chi_{459}(115, \cdot)$
1-459-459.121-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.121	$0$	✓	✓	$-0.470$	$0$	$0.553678$	Character $\chi_{459}(121, \cdot)$
1-459-459.122-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.122	$0$	✓	✓	$-0.370$	$0$	$0.894851$	Character $\chi_{459}(122, \cdot)$
1-459-459.13-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.13	$0$	✓	✓	$-0.318$	$0$	$0.697100$	Character $\chi_{459}(13, \cdot)$
1-459-459.131-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.131	$0$	✓	✓	$-0.0496$	$0$	$1.36501$	Character $\chi_{459}(131, \cdot)$
1-459-459.14-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.14	$0$	✓	✓	$-0.0476$	$0$	$1.14810$	Character $\chi_{459}(14, \cdot)$
1-459-459.146-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.146	$0$	✓	✓	$0.383$	$0$	$1.04288$	Character $\chi_{459}(146, \cdot)$
1-459-459.151-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.151	$0$	✓	✓	$-0.0907$	$0$	$0.834272$	Character $\chi_{459}(151, \cdot)$
1-459-459.157-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.157	$0$	✓	✓	$-0.440$	$0$	$1.43330$	Character $\chi_{459}(157, \cdot)$
1-459-459.158-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.158	$0$	✓	✓	$0.0108$	$0$	$1.46094$	Character $\chi_{459}(158, \cdot)$
1-459-459.16-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.16	$0$	✓	✓	$0.0462$	$0$	$0.713550$	Character $\chi_{459}(16, \cdot)$
1-459-459.164-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.164	$0$	✓	✓	$0.0476$	$0$	$0.667356$	Character $\chi_{459}(164, \cdot)$
1-459-459.166-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.166	$0$	✓	✓	$-0.318$	$0$	$0.655758$	Character $\chi_{459}(166, \cdot)$
1-459-459.167-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.167	$0$	✓	✓	$-0.381$	$0$	$2.38127$	Character $\chi_{459}(167, \cdot)$
1-459-459.169-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.169	$0$	✓	✓	$-0.287$	$0$	$1.18329$	Character $\chi_{459}(169, \cdot)$
1-459-459.173-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.173	$0$	✓	✓	$-0.111$	$0$	$1.05488$	Character $\chi_{459}(173, \cdot)$
1-459-459.176-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.176	$0$	✓	✓	$0.444$	$0$	$2.15463$	Character $\chi_{459}(176, \cdot)$
1-459-459.178-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.178	$0$	✓	✓	$0.183$	$0$	$1.96487$	Character $\chi_{459}(178, \cdot)$
1-459-459.182-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.182	$0$	✓	✓	$-0.123$	$0$	$1.28215$	Character $\chi_{459}(182, \cdot)$
1-459-459.194-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.194	$0$	✓	✓	$-0.270$	$0$	$1.20805$	Character $\chi_{459}(194, \cdot)$
1-459-459.196-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.196	$0$	✓	✓	$0.470$	$0$	$0.135957$	Character $\chi_{459}(196, \cdot)$
1-459-459.20-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.20	$0$	✓	✓	$-0.444$	$0$	$1.77206$	Character $\chi_{459}(20, \cdot)$
1-459-459.202-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.202	$0$	✓	✓	$0.149$	$0$	$1.72107$	Character $\chi_{459}(202, \cdot)$
1-459-459.209-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.209	$0$	✓	✓	$-0.0632$	$0$	$0.993549$	Character $\chi_{459}(209, \cdot)$
1-459-459.218-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.218	$0$	✓	✓	$-0.121$	$0$	$1.37499$	Character $\chi_{459}(218, \cdot)$
1-459-459.220-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.220	$0$	✓	✓	$0.287$	$0$	$1.87402$	Character $\chi_{459}(220, \cdot)$
1-459-459.223-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.223	$0$	✓	✓	$-0.0444$	$0$	$0.853377$	Character $\chi_{459}(223, \cdot)$
1-459-459.227-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.227	$0$	✓	✓	$-0.295$	$0$	$0.854110$	Character $\chi_{459}(227, \cdot)$
1-459-459.229-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.229	$0$	✓	✓	$0.424$	$0$	$1.66269$	Character $\chi_{459}(229, \cdot)$
1-459-459.23-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.23	$0$	✓	✓	$0.444$	$0$	$0.363098$	Character $\chi_{459}(23, \cdot)$
1-459-459.245-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.245	$0$	✓	✓	$-0.0108$	$0$	$1.04309$	Character $\chi_{459}(245, \cdot)$
1-459-459.247-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.247	$0$	✓	✓	$0.0444$	$0$	$1.76705$	Character $\chi_{459}(247, \cdot)$
1-459-459.248-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.248	$0$	✓	✓	$-0.209$	$0$	$0.916861$	Character $\chi_{459}(248, \cdot)$
1-459-459.25-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.25	$0$	✓	✓	$-0.149$	$0$	$0.608966$	Character $\chi_{459}(25, \cdot)$
1-459-459.259-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.259	$0$	✓	✓	$-0.348$	$0$	$0.944532$	Character $\chi_{459}(259, \cdot)$
1-459-459.266-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.266	$0$	✓	✓	$0.121$	$0$	$1.37128$	Character $\chi_{459}(266, \cdot)$
1-459-459.268-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.268	$0$	✓	✓	$0.107$	$0$	$1.56638$	Character $\chi_{459}(268, \cdot)$
1-459-459.274-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.274	$0$	✓	✓	$-0.470$	$0$	$1.69568$	Character $\chi_{459}(274, \cdot)$
1-459-459.275-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.275	$0$	✓	✓	$0.295$	$0$	$1.51066$	Character $\chi_{459}(275, \cdot)$
1-459-459.284-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.284	$0$	✓	✓	$-0.0496$	$0$	$0.842587$	Character $\chi_{459}(284, \cdot)$
1-459-459.29-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.29	$0$	✓	✓	$-0.123$	$0$	$0.516359$	Character $\chi_{459}(29, \cdot)$
1-459-459.299-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.299	$0$	✓	✓	$0.0496$	$0$	$1.51661$	Character $\chi_{459}(299, \cdot)$
1-459-459.304-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.304	$0$	✓	✓	$-0.424$	$0$	$2.43155$	Character $\chi_{459}(304, \cdot)$
1-459-459.310-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.310	$0$	✓	✓	$-0.107$	$0$	$1.37808$	Character $\chi_{459}(310, \cdot)$
1-459-459.311-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.311	$0$	✓	✓	$0.0108$	$0$	$0.501989$	Character $\chi_{459}(311, \cdot)$
1-459-459.317-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.317	$0$	✓	✓	$0.0476$	$0$	$1.24470$	Character $\chi_{459}(317, \cdot)$
1-459-459.319-r0-0-0	$2.13$	$2.13$	$1$	$3^{3} \cdot 17$	459.319	$0$	✓	✓	$0.348$	$0$	$1.46984$	Character $\chi_{459}(319, \cdot)$

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 180 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.