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 337 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-799-799.104-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.104	$1$	✓	✓	$-0.150$	$0$	$0.935074$	Character $\chi_{799}(104, \cdot)$
1-799-799.108-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.108	$1$	✓	✓	$0.0143$	$0$	$1.02878$	Character $\chi_{799}(108, \cdot)$
1-799-799.112-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.112	$1$	✓	✓	$0.0603$	$0$	$0.112517$	Character $\chi_{799}(112, \cdot)$
1-799-799.117-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.117	$1$	✓	✓	$-0.444$	$0$	$1.00961$	Character $\chi_{799}(117, \cdot)$
1-799-799.12-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.12	$1$	✓	✓	$-0.297$	$0$	$1.47753$	Character $\chi_{799}(12, \cdot)$
1-799-799.122-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.122	$1$	✓	✓	$0.0527$	$0$	$0.824125$	Character $\chi_{799}(122, \cdot)$
1-799-799.123-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.123	$1$	✓	✓	$0.279$	$0$	$0.705471$	Character $\chi_{799}(123, \cdot)$
1-799-799.126-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.126	$1$	✓	✓	$-0.227$	$0$	$0.647132$	Character $\chi_{799}(126, \cdot)$
1-799-799.127-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.127	$1$	✓	✓	$0.0301$	$0$	$0.380979$	Character $\chi_{799}(127, \cdot)$
1-799-799.13-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.13	$1$	✓	✓	$-0.279$	$0$	$0.381167$	Character $\chi_{799}(13, \cdot)$
1-799-799.130-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.130	$1$	✓	✓	$0.239$	$0$	$0.339980$	Character $\chi_{799}(130, \cdot)$
1-799-799.131-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.131	$1$	✓	✓	$0.0568$	$0$	$1.48731$	Character $\chi_{799}(131, \cdot)$
1-799-799.132-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.132	$1$	✓	✓	$-0.197$	$0$	$0.120202$	Character $\chi_{799}(132, \cdot)$
1-799-799.134-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.134	$1$	✓	✓	$-0.0348$	$0$	$0.649583$	Character $\chi_{799}(134, \cdot)$
1-799-799.135-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.135	$1$	✓	✓	$-0.454$	$0$	$0.741943$	Character $\chi_{799}(135, \cdot)$
1-799-799.138-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.138	$1$	✓	✓	$0.122$	$0$	$0.562415$	Character $\chi_{799}(138, \cdot)$
1-799-799.14-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.14	$1$	✓	✓	$0.146$	$0$	$0.729526$	Character $\chi_{799}(14, \cdot)$
1-799-799.140-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.140	$1$	✓	✓	$-0.144$	$0$	$0.404847$	Character $\chi_{799}(140, \cdot)$
1-799-799.143-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.143	$1$	✓	✓	$0.467$	$0$	$0.158559$	Character $\chi_{799}(143, \cdot)$
1-799-799.147-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.147	$1$	✓	✓	$-0.0451$	$0$	$1.30585$	Character $\chi_{799}(147, \cdot)$
1-799-799.148-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.148	$1$	✓	✓	$0.208$	$0$	$0.227251$	Character $\chi_{799}(148, \cdot)$
1-799-799.15-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.15	$1$	✓	✓	$-0.424$	$0$	$0.283118$	Character $\chi_{799}(15, \cdot)$
1-799-799.150-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.150	$1$	✓	✓	$-0.270$	$0$	$0.797212$	Character $\chi_{799}(150, \cdot)$
1-799-799.151-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.151	$1$	✓	✓	$-0.0301$	$0$	$0.540458$	Character $\chi_{799}(151, \cdot)$
1-799-799.152-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.152	$1$	✓	✓	$0.321$	$0$	$0.260865$	Character $\chi_{799}(152, \cdot)$
1-799-799.158-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.158	$1$	✓	✓	$-0.431$	$0$	$0.161084$	Character $\chi_{799}(158, \cdot)$
1-799-799.159-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.159	$1$	✓	✓	$0.131$	$0$	$1.12157$	Character $\chi_{799}(159, \cdot)$
1-799-799.161-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.161	$1$	✓	✓	$0.0348$	$0$	$0.689063$	Character $\chi_{799}(161, \cdot)$
1-799-799.165-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.165	$1$	✓	✓	$-0.0279$	$0$	$0.661253$	Character $\chi_{799}(165, \cdot)$
1-799-799.172-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.172	$1$	✓	✓	$0.112$	$0$	$0.338519$	Character $\chi_{799}(172, \cdot)$
1-799-799.173-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.173	$1$	✓	✓	$-0.286$	$0$	$2.24583$	Character $\chi_{799}(173, \cdot)$
1-799-799.174-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.174	$1$	✓	✓	$-0.376$	$0$	$1.67586$	Character $\chi_{799}(174, \cdot)$
1-799-799.175-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.175	$1$	✓	✓	$0.499$	$0$	$1.85077$	Character $\chi_{799}(175, \cdot)$
1-799-799.177-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.177	$1$	✓	✓	$0.431$	$0$	$1.09562$	Character $\chi_{799}(177, \cdot)$
1-799-799.179-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.179	$1$	✓	✓	$0.0402$	$0$	$0.438254$	Character $\chi_{799}(179, \cdot)$
1-799-799.185-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.185	$1$	✓	✓	$0.243$	$0$	$1.55924$	Character $\chi_{799}(185, \cdot)$
1-799-799.186-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.186	$1$	✓	✓	$0.182$	$0$	$0.811084$	Character $\chi_{799}(186, \cdot)$
1-799-799.19-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.19	$1$	✓	✓	$0.0611$	$0$	$0.927940$	Character $\chi_{799}(19, \cdot)$
1-799-799.190-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.190	$1$	✓	✓	$0.408$	$0$	$0.348943$	Character $\chi_{799}(190, \cdot)$
1-799-799.192-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.192	$1$	✓	✓	$0.309$	$0$	$0.877250$	Character $\chi_{799}(192, \cdot)$
1-799-799.194-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.194	$1$	✓	✓	$0.146$	$0$	$0.600366$	Character $\chi_{799}(194, \cdot)$
1-799-799.197-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.197	$1$	✓	✓	$-0.474$	$0$	$0.0388036$	Character $\chi_{799}(197, \cdot)$
1-799-799.203-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.203	$1$	✓	✓	$-0.162$	$0$	$0.375007$	Character $\chi_{799}(203, \cdot)$
1-799-799.208-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.208	$1$	✓	✓	$-0.371$	$0$	$0.794414$	Character $\chi_{799}(208, \cdot)$
1-799-799.209-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.209	$1$	✓	✓	$0.0346$	$0$	$1.05160$	Character $\chi_{799}(209, \cdot)$
1-799-799.215-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.215	$1$	✓	✓	$0.0393$	$0$	$0.601306$	Character $\chi_{799}(215, \cdot)$
1-799-799.216-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.216	$1$	✓	✓	$0.123$	$0$	$0.804890$	Character $\chi_{799}(216, \cdot)$
1-799-799.217-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.217	$1$	✓	✓	$-0.431$	$0$	$1.28090$	Character $\chi_{799}(217, \cdot)$
1-799-799.219-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.219	$1$	✓	✓	$0.232$	$0$	$1.24167$	Character $\chi_{799}(219, \cdot)$
1-799-799.223-r1-0-0	$85.8$	$85.8$	$1$	$17 \cdot 47$	799.223	$1$	✓	✓	$-0.0907$	$0$	$2.26723$	Character $\chi_{799}(223, \cdot)$

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 337 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.