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 483 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-967-967.10-r1-0-0	$103.$	$103.$	$1$	$967$	967.10	$1$	$$	$0$	✓	✓	$0.146$	$0$	$0.676296$	Dirichlet character $\chi_{967} (10, \cdot) $
1-967-967.102-r1-0-0	$103.$	$103.$	$1$	$967$	967.102	$1$	$$	$0$	✓	✓	$-0.225$	$0$	$0.0829232$	Dirichlet character $\chi_{967} (102, \cdot) $
1-967-967.104-r1-0-0	$103.$	$103.$	$1$	$967$	967.104	$1$	$$	$0$	✓	✓	$0.0228$	$0$	$0.751980$	Dirichlet character $\chi_{967} (104, \cdot) $
1-967-967.105-r1-0-0	$103.$	$103.$	$1$	$967$	967.105	$1$	$$	$0$	✓	✓	$0.465$	$0$	$1.66629$	Dirichlet character $\chi_{967} (105, \cdot) $
1-967-967.107-r1-0-0	$103.$	$103.$	$1$	$967$	967.107	$1$	$$	$0$	✓	✓	$-0.0225$	$0$	$0.837941$	Dirichlet character $\chi_{967} (107, \cdot) $
1-967-967.108-r1-0-0	$103.$	$103.$	$1$	$967$	967.108	$1$	$$	$0$	✓	✓	$0.354$	$0$	$0.116047$	Dirichlet character $\chi_{967} (108, \cdot) $
1-967-967.109-r1-0-0	$103.$	$103.$	$1$	$967$	967.109	$1$	$$	$0$	✓	✓	$-0.241$	$0$	$0.495360$	Dirichlet character $\chi_{967} (109, \cdot) $
1-967-967.110-r1-0-0	$103.$	$103.$	$1$	$967$	967.110	$1$	$$	$0$	✓	✓	$-0.160$	$0$	$0.810438$	Dirichlet character $\chi_{967} (110, \cdot) $
1-967-967.112-r1-0-0	$103.$	$103.$	$1$	$967$	967.112	$1$	$$	$0$	✓	✓	$-0.481$	$0$	$0.741586$	Dirichlet character $\chi_{967} (112, \cdot) $
1-967-967.116-r1-0-0	$103.$	$103.$	$1$	$967$	967.116	$1$	$$	$0$	✓	✓	$0.435$	$0$	$0.992202$	Dirichlet character $\chi_{967} (116, \cdot) $
1-967-967.117-r1-0-0	$103.$	$103.$	$1$	$967$	967.117	$1$	$$	$0$	✓	✓	$0.287$	$0$	$0.888618$	Dirichlet character $\chi_{967} (117, \cdot) $
1-967-967.119-r1-0-0	$103.$	$103.$	$1$	$967$	967.119	$1$	$$	$0$	✓	✓	$0.285$	$0$	$1.05315$	Dirichlet character $\chi_{967} (119, \cdot) $
1-967-967.12-r1-0-0	$103.$	$103.$	$1$	$967$	967.12	$1$	$$	$0$	✓	✓	$0.326$	$0$	$0.874391$	Dirichlet character $\chi_{967} (12, \cdot) $
1-967-967.125-r1-0-0	$103.$	$103.$	$1$	$967$	967.125	$1$	$$	$0$	✓	✓	$-0.460$	$0$	$1.37648$	Dirichlet character $\chi_{967} (125, \cdot) $
1-967-967.126-r1-0-0	$103.$	$103.$	$1$	$967$	967.126	$1$	$$	$0$	✓	✓	$0.302$	$0$	$0.685118$	Dirichlet character $\chi_{967} (126, \cdot) $
1-967-967.13-r1-0-0	$103.$	$103.$	$1$	$967$	967.13	$1$	$$	$0$	✓	✓	$0.495$	$0$	$0.493898$	Dirichlet character $\chi_{967} (13, \cdot) $
1-967-967.132-r1-0-0	$103.$	$103.$	$1$	$967$	967.132	$1$	$$	$0$	✓	✓	$0.0144$	$0$	$0.668774$	Dirichlet character $\chi_{967} (132, \cdot) $
1-967-967.134-r1-0-0	$103.$	$103.$	$1$	$967$	967.134	$1$	$$	$0$	✓	✓	$-0.200$	$0$	$0.483058$	Dirichlet character $\chi_{967} (134, \cdot) $
1-967-967.14-r1-0-0	$103.$	$103.$	$1$	$967$	967.14	$1$	$$	$0$	✓	✓	$0.431$	$0$	$1.19682$	Dirichlet character $\chi_{967} (14, \cdot) $
1-967-967.143-r1-0-0	$103.$	$103.$	$1$	$967$	967.143	$1$	$$	$0$	✓	✓	$0.423$	$0$	$0.318745$	Dirichlet character $\chi_{967} (143, \cdot) $
1-967-967.147-r1-0-0	$103.$	$103.$	$1$	$967$	967.147	$1$	$$	$0$	✓	✓	$0.232$	$0$	$1.23681$	Dirichlet character $\chi_{967} (147, \cdot) $
1-967-967.148-r1-0-0	$103.$	$103.$	$1$	$967$	967.148	$1$	$$	$0$	✓	✓	$0.243$	$0$	$1.36442$	Dirichlet character $\chi_{967} (148, \cdot) $
1-967-967.150-r1-0-0	$103.$	$103.$	$1$	$967$	967.150	$1$	$$	$0$	✓	✓	$0.0797$	$0$	$0.120585$	Dirichlet character $\chi_{967} (150, \cdot) $
1-967-967.152-r1-0-0	$103.$	$103.$	$1$	$967$	967.152	$1$	$$	$0$	✓	✓	$-0.0582$	$0$	$0.0609983$	Dirichlet character $\chi_{967} (152, \cdot) $
1-967-967.154-r1-0-0	$103.$	$103.$	$1$	$967$	967.154	$1$	$$	$0$	✓	✓	$-0.403$	$0$	$1.49676$	Dirichlet character $\chi_{967} (154, \cdot) $
1-967-967.155-r1-0-0	$103.$	$103.$	$1$	$967$	967.155	$1$	$$	$0$	✓	✓	$0.0591$	$0$	$0.630962$	Dirichlet character $\chi_{967} (155, \cdot) $
1-967-967.158-r1-0-0	$103.$	$103.$	$1$	$967$	967.158	$1$	$$	$0$	✓	✓	$-0.199$	$0$	$0.589530$	Dirichlet character $\chi_{967} (158, \cdot) $
1-967-967.159-r1-0-0	$103.$	$103.$	$1$	$967$	967.159	$1$	$$	$0$	✓	✓	$0.345$	$0$	$0.759591$	Dirichlet character $\chi_{967} (159, \cdot) $
1-967-967.160-r1-0-0	$103.$	$103.$	$1$	$967$	967.160	$1$	$$	$0$	✓	✓	$-0.0377$	$0$	$0.788609$	Dirichlet character $\chi_{967} (160, \cdot) $
1-967-967.163-r1-0-0	$103.$	$103.$	$1$	$967$	967.163	$1$	$$	$0$	✓	✓	$-0.257$	$0$	$1.68524$	Dirichlet character $\chi_{967} (163, \cdot) $
1-967-967.164-r1-0-0	$103.$	$103.$	$1$	$967$	967.164	$1$	$$	$0$	✓	✓	$-0.197$	$0$	$1.43187$	Dirichlet character $\chi_{967} (164, \cdot) $
1-967-967.167-r1-0-0	$103.$	$103.$	$1$	$967$	967.167	$1$	$$	$0$	✓	✓	$0.390$	$0$	$0.312049$	Dirichlet character $\chi_{967} (167, \cdot) $
1-967-967.170-r1-0-0	$103.$	$103.$	$1$	$967$	967.170	$1$	$$	$0$	✓	✓	$-0.0651$	$0$	$0.733122$	Dirichlet character $\chi_{967} (170, \cdot) $
1-967-967.171-r1-0-0	$103.$	$103.$	$1$	$967$	967.171	$1$	$$	$0$	✓	✓	$0.197$	$0$	$0.0118056$	Dirichlet character $\chi_{967} (171, \cdot) $
1-967-967.172-r1-0-0	$103.$	$103.$	$1$	$967$	967.172	$1$	$$	$0$	✓	✓	$-0.325$	$0$	$0.573903$	Dirichlet character $\chi_{967} (172, \cdot) $
1-967-967.173-r1-0-0	$103.$	$103.$	$1$	$967$	967.173	$1$	$$	$0$	✓	✓	$-0.168$	$0$	$0.287352$	Dirichlet character $\chi_{967} (173, \cdot) $
1-967-967.175-r1-0-0	$103.$	$103.$	$1$	$967$	967.175	$1$	$$	$0$	✓	✓	$-0.309$	$0$	$0.741764$	Dirichlet character $\chi_{967} (175, \cdot) $
1-967-967.177-r1-0-0	$103.$	$103.$	$1$	$967$	967.177	$1$	$$	$0$	✓	✓	$0.380$	$0$	$1.48137$	Dirichlet character $\chi_{967} (177, \cdot) $
1-967-967.178-r1-0-0	$103.$	$103.$	$1$	$967$	967.178	$1$	$$	$0$	✓	✓	$0.0458$	$0$	$0.630121$	Dirichlet character $\chi_{967} (178, \cdot) $
1-967-967.180-r1-0-0	$103.$	$103.$	$1$	$967$	967.180	$1$	$$	$0$	✓	✓	$0.198$	$0$	$1.02394$	Dirichlet character $\chi_{967} (180, \cdot) $
1-967-967.183-r1-0-0	$103.$	$103.$	$1$	$967$	967.183	$1$	$$	$0$	✓	✓	$-0.155$	$0$	$2.04128$	Dirichlet character $\chi_{967} (183, \cdot) $
1-967-967.184-r1-0-0	$103.$	$103.$	$1$	$967$	967.184	$1$	$$	$0$	✓	✓	$-0.0761$	$0$	$0.794646$	Dirichlet character $\chi_{967} (184, \cdot) $
1-967-967.186-r1-0-0	$103.$	$103.$	$1$	$967$	967.186	$1$	$$	$0$	✓	✓	$-0.385$	$0$	$0.472785$	Dirichlet character $\chi_{967} (186, \cdot) $
1-967-967.188-r1-0-0	$103.$	$103.$	$1$	$967$	967.188	$1$	$$	$0$	✓	✓	$-0.0327$	$0$	$0.926750$	Dirichlet character $\chi_{967} (188, \cdot) $
1-967-967.19-r1-0-0	$103.$	$103.$	$1$	$967$	967.19	$1$	$$	$0$	✓	✓	$0.0200$	$0$	$0.569013$	Dirichlet character $\chi_{967} (19, \cdot) $
1-967-967.191-r1-0-0	$103.$	$103.$	$1$	$967$	967.191	$1$	$$	$0$	✓	✓	$-0.463$	$0$	$0.514819$	Dirichlet character $\chi_{967} (191, \cdot) $
1-967-967.192-r1-0-0	$103.$	$103.$	$1$	$967$	967.192	$1$	$$	$0$	✓	✓	$0.00104$	$0$	$0.834818$	Dirichlet character $\chi_{967} (192, \cdot) $
1-967-967.195-r1-0-0	$103.$	$103.$	$1$	$967$	967.195	$1$	$$	$0$	✓	✓	$0.0507$	$0$	$1.13996$	Dirichlet character $\chi_{967} (195, \cdot) $
1-967-967.197-r1-0-0	$103.$	$103.$	$1$	$967$	967.197	$1$	$$	$0$	✓	✓	$0.355$	$0$	$0.527011$	Dirichlet character $\chi_{967} (197, \cdot) $
1-967-967.20-r1-0-0	$103.$	$103.$	$1$	$967$	967.20	$1$	$$	$0$	✓	✓	$0.498$	$0$	$0.560546$	Dirichlet character $\chi_{967} (20, \cdot) $

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 483 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.