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 552 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-6336-1.1-c1-0-0	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.347993$	Modular form 6336.2.a.cu.1.1
2-6336-1.1-c1-0-1	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.413657$	Elliptic curve 6336.h Modular form 6336.2.a.h Modular form 6336.2.a.h.1.1
2-6336-1.1-c1-0-10	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.544214$	Modular form 6336.2.a.cv.1.1
2-6336-1.1-c1-0-11	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.554186$	Elliptic curve 6336.p Modular form 6336.2.a.p Modular form 6336.2.a.p.1.1
2-6336-1.1-c1-0-12	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.554374$	Elliptic curve 6336.y Modular form 6336.2.a.y Modular form 6336.2.a.y.1.1
2-6336-1.1-c1-0-13	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.574470$	Elliptic curve 6336.j Modular form 6336.2.a.j Modular form 6336.2.a.j.1.1
2-6336-1.1-c1-0-14	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.593993$	Modular form 6336.2.a.db.1.2
2-6336-1.1-c1-0-15	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.623396$	Elliptic curve 6336.be Modular form 6336.2.a.be Modular form 6336.2.a.be.1.1
2-6336-1.1-c1-0-16	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.627402$	Elliptic curve 6336.v Modular form 6336.2.a.v Modular form 6336.2.a.v.1.1
2-6336-1.1-c1-0-17	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.639568$	Modular form 6336.2.a.db.1.3
2-6336-1.1-c1-0-18	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.668934$	Elliptic curve 6336.bz Modular form 6336.2.a.bz Modular form 6336.2.a.bz.1.1
2-6336-1.1-c1-0-19	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.679741$	Elliptic curve 6336.bw Modular form 6336.2.a.bw Modular form 6336.2.a.bw.1.1
2-6336-1.1-c1-0-2	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.448552$	Modular form 6336.2.a.db.1.1
2-6336-1.1-c1-0-20	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.680626$	Elliptic curve 6336.r Modular form 6336.2.a.r Modular form 6336.2.a.r.1.1
2-6336-1.1-c1-0-21	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.688501$	Modular form 6336.2.a.co.1.2
2-6336-1.1-c1-0-22	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.709086$	Elliptic curve 6336.bm Modular form 6336.2.a.bm Modular form 6336.2.a.bm.1.1
2-6336-1.1-c1-0-23	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.720166$	Elliptic curve 6336.k Modular form 6336.2.a.k Modular form 6336.2.a.k.1.1
2-6336-1.1-c1-0-24	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.737205$	Modular form 6336.2.a.cz.1.1
2-6336-1.1-c1-0-25	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.748416$	Elliptic curve 6336.bf Modular form 6336.2.a.bf Modular form 6336.2.a.bf.1.1
2-6336-1.1-c1-0-26	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.762537$	Elliptic curve 6336.bg Modular form 6336.2.a.bg Modular form 6336.2.a.bg.1.1
2-6336-1.1-c1-0-27	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.822033$	Modular form 6336.2.a.cx.1.1
2-6336-1.1-c1-0-28	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.854816$	Modular form 6336.2.a.cx.1.2
2-6336-1.1-c1-0-29	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.855295$	Elliptic curve 6336.cf Modular form 6336.2.a.cf Modular form 6336.2.a.cf.1.1
2-6336-1.1-c1-0-3	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.453034$	Modular form 6336.2.a.cr.1.1
2-6336-1.1-c1-0-30	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.856353$	Elliptic curve 6336.l Modular form 6336.2.a.l Modular form 6336.2.a.l.1.1
2-6336-1.1-c1-0-31	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.867727$	Elliptic curve 6336.cc Modular form 6336.2.a.cc Modular form 6336.2.a.cc.1.1
2-6336-1.1-c1-0-32	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$0.892281$	Modular form 6336.2.a.cy.1.1
2-6336-1.1-c1-0-33	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.895207$	Elliptic curve 6336.bj Modular form 6336.2.a.bj Modular form 6336.2.a.bj.1.1
2-6336-1.1-c1-0-34	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.902047$	Elliptic curve 6336.ck Modular form 6336.2.a.ck Modular form 6336.2.a.ck.1.1
2-6336-1.1-c1-0-35	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.911750$	Elliptic curve 6336.bo Modular form 6336.2.a.bo Modular form 6336.2.a.bo.1.1
2-6336-1.1-c1-0-36	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.916961$	Modular form 6336.2.a.cs.1.2
2-6336-1.1-c1-0-37	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.927267$	Elliptic curve 6336.ci Modular form 6336.2.a.ci Modular form 6336.2.a.ci.1.1
2-6336-1.1-c1-0-38	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.931831$	Elliptic curve 6336.bk Modular form 6336.2.a.bk Modular form 6336.2.a.bk.1.1
2-6336-1.1-c1-0-39	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.934200$	Elliptic curve 6336.ch Modular form 6336.2.a.ch Modular form 6336.2.a.ch.1.1
2-6336-1.1-c1-0-4	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.495144$	Modular form 6336.2.a.cs.1.1
2-6336-1.1-c1-0-40	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.941291$	Modular form 6336.2.a.cv.1.2
2-6336-1.1-c1-0-41	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.955095$	Elliptic curve 6336.bv Modular form 6336.2.a.bv Modular form 6336.2.a.bv.1.1
2-6336-1.1-c1-0-42	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.969067$	Elliptic curve 6336.bt Modular form 6336.2.a.bt Modular form 6336.2.a.bt.1.1
2-6336-1.1-c1-0-43	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$0.986716$	Modular form 6336.2.a.da.1.1
2-6336-1.1-c1-0-44	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$0.987019$	Modular form 6336.2.a.cp.1.1
2-6336-1.1-c1-0-45	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$0.988509$	Elliptic curve 6336.c Modular form 6336.2.a.c Modular form 6336.2.a.c.1.1
2-6336-1.1-c1-0-46	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.997534$	Elliptic curve 6336.cm Modular form 6336.2.a.cm Modular form 6336.2.a.cm.1.1
2-6336-1.1-c1-0-47	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$0.999211$	Elliptic curve 6336.b Modular form 6336.2.a.b Modular form 6336.2.a.b.1.1
2-6336-1.1-c1-0-48	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.01169$	Elliptic curve 6336.cl Modular form 6336.2.a.cl Modular form 6336.2.a.cl.1.1
2-6336-1.1-c1-0-49	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.02281$	Elliptic curve 6336.g Modular form 6336.2.a.g Modular form 6336.2.a.g.1.1
2-6336-1.1-c1-0-5	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.510538$	Modular form 6336.2.a.co.1.1
2-6336-1.1-c1-0-50	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.06341$	Elliptic curve 6336.n Modular form 6336.2.a.n Modular form 6336.2.a.n.1.1
2-6336-1.1-c1-0-51	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.07551$	Modular form 6336.2.a.cz.1.3
2-6336-1.1-c1-0-52	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.09393$	Modular form 6336.2.a.cu.1.2
2-6336-1.1-c1-0-53	$7.11$	$50.5$	$2$	$2^{6} \cdot 3^{2} \cdot 11$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.09804$	Elliptic curve 6336.d Modular form 6336.2.a.d Modular form 6336.2.a.d.1.1

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 552 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.