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 107 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-109-109.100-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.100	$0$	✓	✓			$0.288$	$0$	$2.17349$	Character $\chi_{109}(100, \cdot)$
1-109-109.102-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.102	$0$	✓	✓			$0.171$	$0$	$1.95772$	Character $\chi_{109}(102, \cdot)$
1-109-109.104-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.104	$0$	✓	✓			$-0.159$	$0$	$0.979139$	Character $\chi_{109}(104, \cdot)$
1-109-109.105-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.105	$0$	✓	✓			$-0.0791$	$0$	$1.92916$	Character $\chi_{109}(105, \cdot)$
1-109-109.106-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.106	$0$	✓	✓			$-0.0723$	$0$	$2.09961$	Character $\chi_{109}(106, \cdot)$
1-109-109.108-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.108	$0$	✓	✓	✓	✓	$0$	$0$	$1.87221$	Character $\chi_{109}(108, \cdot)$
1-109-109.12-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.12	$0$	✓	✓			$-0.288$	$0$	$1.14059$	Character $\chi_{109}(12, \cdot)$
1-109-109.15-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.15	$0$	✓	✓			$0.138$	$0$	$1.76981$	Character $\chi_{109}(15, \cdot)$
1-109-109.16-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.16	$0$	✓	✓			$0.472$	$0$	$2.17831$	Character $\chi_{109}(16, \cdot)$
1-109-109.20-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.20	$0$	✓	✓			$0.0325$	$0$	$0.832087$	Character $\chi_{109}(20, \cdot)$
1-109-109.21-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.21	$0$	✓	✓			$0.0126$	$0$	$1.26866$	Character $\chi_{109}(21, \cdot)$
1-109-109.22-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.22	$0$	✓	✓			$-0.316$	$0$	$0.825878$	Character $\chi_{109}(22, \cdot)$
1-109-109.25-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.25	$0$	✓	✓			$0.379$	$0$	$2.63704$	Character $\chi_{109}(25, \cdot)$
1-109-109.26-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.26	$0$	✓	✓			$-0.0126$	$0$	$1.30264$	Character $\chi_{109}(26, \cdot)$
1-109-109.27-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.27	$0$	✓	✓			$0.0791$	$0$	$1.35800$	Character $\chi_{109}(27, \cdot)$
1-109-109.28-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.28	$0$	✓	✓			$0.454$	$0$	$2.69455$	Character $\chi_{109}(28, \cdot)$
1-109-109.29-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.29	$0$	✓	✓			$-0.0643$	$0$	$1.65056$	Character $\chi_{109}(29, \cdot)$
1-109-109.3-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.3	$0$	✓	✓			$0.119$	$0$	$1.66893$	Character $\chi_{109}(3, \cdot)$
1-109-109.31-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.31	$0$	✓	✓			$-0.171$	$0$	$1.02475$	Character $\chi_{109}(31, \cdot)$
1-109-109.34-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.34	$0$	✓	✓			$0.499$	$0$	$3.41104$	Character $\chi_{109}(34, \cdot)$
1-109-109.35-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.35	$0$	✓	✓			$0.00289$	$0$	$1.32523$	Character $\chi_{109}(35, \cdot)$
1-109-109.36-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.36	$0$	✓	✓			$0.0723$	$0$	$2.36475$	Character $\chi_{109}(36, \cdot)$
1-109-109.38-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.38	$0$	✓	✓			$-0.359$	$0$	$0.906568$	Character $\chi_{109}(38, \cdot)$
1-109-109.4-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.4	$0$	✓	✓			$0.218$	$0$	$2.54971$	Character $\chi_{109}(4, \cdot)$
1-109-109.43-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.43	$0$	✓	✓			$-0.105$	$0$	$1.56496$	Character $\chi_{109}(43, \cdot)$
1-109-109.45-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.45	$0$	✓	✓			$-0.244$	$0$	$1.19499$	Character $\chi_{109}(45, \cdot)$
1-109-109.46-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.46	$0$	✓	✓			$-0.489$	$0$	$2.48971$	Character $\chi_{109}(46, \cdot)$
1-109-109.48-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.48	$0$	✓	✓			$-0.379$	$0$	$1.30599$	Character $\chi_{109}(48, \cdot)$
1-109-109.49-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.49	$0$	✓	✓			$-0.292$	$0$	$3.24884$	Character $\chi_{109}(49, \cdot)$
1-109-109.5-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.5	$0$	✓	✓			$0.316$	$0$	$2.35412$	Character $\chi_{109}(5, \cdot)$
1-109-109.60-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.60	$0$	✓	✓			$-0.0325$	$0$	$1.33429$	Character $\chi_{109}(60, \cdot)$
1-109-109.61-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.61	$0$	✓	✓			$-0.0367$	$0$	$1.22799$	Character $\chi_{109}(61, \cdot)$
1-109-109.63-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.63	$0$	✓	✓			$0.244$	$0$	$2.82633$	Character $\chi_{109}(63, \cdot)$
1-109-109.64-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.64	$0$	✓	✓			$0.489$	$0$	$0.392744$	Character $\chi_{109}(64, \cdot)$
1-109-109.66-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.66	$0$	✓	✓			$0.359$	$0$	$1.83042$	Character $\chi_{109}(66, \cdot)$
1-109-109.7-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.7	$0$	✓	✓			$0.314$	$0$	$2.89645$	Character $\chi_{109}(7, \cdot)$
1-109-109.71-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.71	$0$	✓	✓			$0.105$	$0$	$1.49846$	Character $\chi_{109}(71, \cdot)$
1-109-109.73-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.73	$0$	✓	✓			$-0.119$	$0$	$1.28562$	Character $\chi_{109}(73, \cdot)$
1-109-109.74-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.74	$0$	✓	✓			$-0.454$	$0$	$0.960124$	Character $\chi_{109}(74, \cdot)$
1-109-109.75-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.75	$0$	✓	✓			$-0.472$	$0$	$0.172291$	Character $\chi_{109}(75, \cdot)$
1-109-109.78-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.78	$0$	✓	✓			$-0.314$	$0$	$1.61332$	Character $\chi_{109}(78, \cdot)$
1-109-109.80-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.80	$0$	✓	✓			$-0.138$	$0$	$0.655032$	Character $\chi_{109}(80, \cdot)$
1-109-109.81-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.81	$0$	✓	✓			$0.00289$	$0$	$1.98336$	Character $\chi_{109}(81, \cdot)$
1-109-109.82-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.82	$0$	✓	✓			$-0.218$	$0$	$1.53506$	Character $\chi_{109}(82, \cdot)$
1-109-109.83-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.83	$0$	✓	✓			$-0.192$	$0$	$1.63342$	Character $\chi_{109}(83, \cdot)$
1-109-109.84-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.84	$0$	✓	✓			$0.0367$	$0$	$2.08313$	Character $\chi_{109}(84, \cdot)$
1-109-109.87-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.87	$0$	✓	✓			$0.159$	$0$	$1.11309$	Character $\chi_{109}(87, \cdot)$
1-109-109.88-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.88	$0$	✓	✓			$0.192$	$0$	$2.34155$	Character $\chi_{109}(88, \cdot)$
1-109-109.89-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.89	$0$	✓	✓			$0.292$	$0$	$0.0138473$	Character $\chi_{109}(89, \cdot)$
1-109-109.9-r0-0-0	$0.506$	$0.506$	$1$	$109$	109.9	$0$	✓	✓			$-0.0637$	$0$	$2.23091$	Character $\chi_{109}(9, \cdot)$

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 107 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.