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 1714 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1332-148.107-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.107	$0.0$	✓	✓			$-0.244$	$0$	$1.01489$	Modular form 1332.1.cz.a.847.1
2-1332-148.11-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.11	$0.0$	✓	✓			$0.119$	$0$	$1.36760$	Modular form 1332.1.bj.a.307.1
2-1332-148.11-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.11	$0.0$	✓	✓			$0.119$	$0$	$1.86091$	Modular form 1332.1.bj.a.307.2
2-1332-148.115-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.115	$0.0$	✓	✓			$-0.0982$	$0$	$0.816900$	Modular form 1332.1.cy.a.559.1
2-1332-148.115-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.115	$0.0$	✓	✓			$-0.0982$	$0$	$1.52962$	Modular form 1332.1.cy.a.559.2
2-1332-148.123-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.123	$0.0$	✓	✓			$-0.100$	$0$	$1.25964$	Modular form 1332.1.cz.a.271.1
2-1332-148.127-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.127	$0.0$	✓	✓			$0.0463$	$0$	$2.10170$	Modular form 1332.1.cz.a.127.1
2-1332-148.139-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.139	$0.0$	✓	✓			$0.0982$	$0$	$1.38710$	Modular form 1332.1.cy.a.1027.1
2-1332-148.139-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.139	$0.0$	✓	✓			$0.0982$	$0$	$2.01220$	Modular form 1332.1.cy.a.1027.2
2-1332-148.147-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.147	$0.0$	✓	✓			$-0.250$	$0$	$0.714036$	Modular form 1332.1.b.d.739.1
2-1332-148.147-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.147	$0.0$	✓	✓			$0.5$	$0$	$0.746399$	Artin representation 2.1332.8t11.c.a Modular form 1332.1.b.c.739.2
2-1332-148.147-c0-0-2	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.147	$0.0$	✓	✓			$-0.250$	$0$	$1.11343$	Modular form 1332.1.b.d.739.4
2-1332-148.147-c0-0-3	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.147	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.13640$	Artin representation 2.1332.4t3.d Artin representation 2.1332.4t3.d.a Modular form 1332.1.b.a Modular form 1332.1.b.a.739.1
2-1332-148.147-c0-0-4	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.147	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.71592$	Artin representation 2.1332.4t3.c Artin representation 2.1332.4t3.c.a Modular form 1332.1.b.b Modular form 1332.1.b.b.739.1
2-1332-148.147-c0-0-5	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.147	$0.0$	✓	✓			$0.250$	$0$	$1.93885$	Modular form 1332.1.b.d.739.3
2-1332-148.147-c0-0-6	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.147	$0.0$	✓	✓			$0.250$	$0$	$2.10248$	Modular form 1332.1.b.d.739.2
2-1332-148.147-c0-0-7	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.147	$0.0$	✓	✓			$0.5$	$0$	$2.20670$	Artin representation 2.1332.8t11.c.b Modular form 1332.1.b.c.739.1
2-1332-148.27-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.27	$0.0$	✓	✓			$-0.119$	$0$	$0.702062$	Modular form 1332.1.bj.a.1063.1
2-1332-148.27-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.27	$0.0$	✓	✓			$-0.119$	$0$	$1.66017$	Modular form 1332.1.bj.a.1063.2
2-1332-148.3-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.3	$0.0$	✓	✓			$0.0881$	$0$	$1.29199$	Modular form 1332.1.cy.a.595.2
2-1332-148.3-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.3	$0.0$	✓	✓			$0.0881$	$0$	$1.67978$	Modular form 1332.1.cy.a.595.1
2-1332-148.47-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.47	$0.0$	✓	✓			$0.476$	$0$	$2.40457$	Artin representation 2.1332.12t18.b.b Modular form 1332.1.y.a.343.1
2-1332-148.63-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.63	$0.0$	✓	✓			$-0.476$	$0$	$0.665916$	Artin representation 2.1332.12t18.b.a Modular form 1332.1.y.a.1099.1
2-1332-148.67-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.67	$0.0$	✓	✓			$0.223$	$0$	$1.63821$	Modular form 1332.1.cy.a.955.1
2-1332-148.67-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.67	$0.0$	✓	✓			$0.223$	$0$	$1.73088$	Modular form 1332.1.cy.a.955.2
2-1332-148.7-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.7	$0.0$	✓	✓			$-0.0463$	$0$	$1.43927$	Modular form 1332.1.cz.a.451.1
2-1332-148.71-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.71	$0.0$	✓	✓			$0.100$	$0$	$1.49656$	Modular form 1332.1.cz.a.811.1
2-1332-148.83-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.83	$0.0$	✓	✓			$0.244$	$0$	$1.33868$	Modular form 1332.1.cz.a.379.1
2-1332-148.95-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.95	$0.0$	✓	✓			$-0.223$	$0$	$0.111031$	Modular form 1332.1.cy.a.1279.2
2-1332-148.95-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.95	$0.0$	✓	✓			$-0.223$	$0$	$1.24404$	Modular form 1332.1.cy.a.1279.1
2-1332-148.99-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.99	$0.0$	✓	✓			$-0.0881$	$0$	$0.952846$	Modular form 1332.1.cy.a.1135.1
2-1332-148.99-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	148.99	$0.0$	✓	✓			$-0.0881$	$0$	$1.45290$	Modular form 1332.1.cy.a.1135.2
2-1332-37.13-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.13	$0.0$	✓	✓			$-0.00509$	$0$	$1.31943$	Modular form 1332.1.dn.a.901.1
2-1332-37.15-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.15	$0.0$	✓	✓			$0.132$	$0$	$1.67201$	Modular form 1332.1.dn.a.829.1
2-1332-37.17-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.17	$0.0$	✓	✓			$0.0517$	$0$	$1.38052$	Modular form 1332.1.dn.a.757.1
2-1332-37.18-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.18	$0.0$	✓	✓			$0.345$	$0$	$2.00522$	Modular form 1332.1.dn.a.721.1
2-1332-37.19-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.19	$0.0$	✓	✓			$-0.0810$	$0$	$1.24084$	Modular form 1332.1.dn.a.685.1
2-1332-37.2-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.2	$0.0$	✓	✓			$0.0810$	$0$	$1.72905$	Modular form 1332.1.dn.a.1297.1
2-1332-37.20-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.20	$0.0$	✓	✓			$0.00509$	$0$	$1.38234$	Modular form 1332.1.dn.a.649.1
2-1332-37.22-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.22	$0.0$	✓	✓			$-0.210$	$0$	$0.813479$	Modular form 1332.1.dn.a.577.1
2-1332-37.24-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.24	$0.0$	✓	✓			$-0.0517$	$0$	$1.14295$	Modular form 1332.1.dn.a.505.1
2-1332-37.31-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.31	$0.0$	✓	✓			$0.111$	$0$	$1.49503$	Modular form 1332.1.o.a.253.1
2-1332-37.32-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.32	$0.0$	✓	✓			$0.210$	$0$	$1.89705$	Modular form 1332.1.dn.a.217.1
2-1332-37.35-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.35	$0.0$	✓	✓			$-0.345$	$0$	$0.394277$	Modular form 1332.1.dn.a.109.1
2-1332-37.5-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.5	$0.0$	✓	✓			$-0.132$	$0$	$1.02427$	Modular form 1332.1.dn.a.1189.1
2-1332-37.6-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	37.6	$0.0$	✓	✓			$-0.111$	$0$	$0.948801$	Modular form 1332.1.o.a.1153.1
2-1332-444.119-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	444.119	$0.0$	✓	✓			$-0.0167$	$0$	$0.947311$	Modular form 1332.1.cd.a.1007.2
2-1332-444.119-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	444.119	$0.0$	✓	✓			$0.287$	$0$	$2.15025$	Modular form 1332.1.cd.a.1007.1
2-1332-444.131-c0-0-0	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	444.131	$0.0$	✓	✓			$-0.315$	$0$	$1.29504$	Modular form 1332.1.dm.a.575.2
2-1332-444.131-c0-0-1	$0.815$	$0.664$	$2$	$2^{2} \cdot 3^{2} \cdot 37$	444.131	$0.0$	✓	✓			$0.380$	$0$	$1.84909$	Modular form 1332.1.dm.a.575.1

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 1714 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.