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 277 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
2-33e2-1.1-c1-0-0	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.443396$	Modular form 1089.2.a.p.1.1
2-33e2-1.1-c1-0-1	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.464117$	Modular form 1089.2.a.q.1.1
2-33e2-1.1-c1-0-10	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.984831$	Modular form 1089.2.a.u.1.1
2-33e2-1.1-c1-0-11	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.03899$	Modular form 1089.2.a.m.1.1
2-33e2-1.1-c1-0-12	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.04628$	Elliptic curve 1089.f Modular form 1089.2.a.f Modular form 1089.2.a.f.1.1
2-33e2-1.1-c1-0-13	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.06294$	Elliptic curve 1089.g Modular form 1089.2.a.g Modular form 1089.2.a.g.1.1
2-33e2-1.1-c1-0-14	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.12509$	Modular form 1089.2.a.r.1.1
2-33e2-1.1-c1-0-15	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.22505$	Elliptic curve 1089.d Modular form 1089.2.a.d Modular form 1089.2.a.d.1.1
2-33e2-1.1-c1-0-16	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.22954$	Modular form 1089.2.a.m.1.2
2-33e2-1.1-c1-0-17	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.23603$	Elliptic curve 1089.a Modular form 1089.2.a.a Modular form 1089.2.a.a.1.1
2-33e2-1.1-c1-0-18	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.28989$	Modular form 1089.2.a.w.1.3
2-33e2-1.1-c1-0-19	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.45371$	Elliptic curve 1089.c Modular form 1089.2.a.c Modular form 1089.2.a.c.1.1
2-33e2-1.1-c1-0-2	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.632521$	Modular form 1089.2.a.u.1.2
2-33e2-1.1-c1-0-20	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.46793$	Modular form 1089.2.a.p.1.2
2-33e2-1.1-c1-0-21	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.51509$	Elliptic curve 1089.b Modular form 1089.2.a.b Modular form 1089.2.a.b.1.1
2-33e2-1.1-c1-0-22	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.55206$	Modular form 1089.2.a.v.1.1
2-33e2-1.1-c1-0-23	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.57145$	Modular form 1089.2.a.l.1.2
2-33e2-1.1-c1-0-24	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.59063$	Modular form 1089.2.a.o.1.2
2-33e2-1.1-c1-0-25	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.59089$	Modular form 1089.2.a.r.1.2
2-33e2-1.1-c1-0-26	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.64045$	Modular form 1089.2.a.l.1.1
2-33e2-1.1-c1-0-27	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.66859$	Modular form 1089.2.a.v.1.2
2-33e2-1.1-c1-0-28	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.68226$	Modular form 1089.2.a.n.1.1
2-33e2-1.1-c1-0-29	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.70620$	Modular form 1089.2.a.t.1.2
2-33e2-1.1-c1-0-3	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.684424$	Elliptic curve 1089.e Modular form 1089.2.a.e Modular form 1089.2.a.e.1.1
2-33e2-1.1-c1-0-30	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.71605$	Modular form 1089.2.a.s.1.1
2-33e2-1.1-c1-0-31	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.75839$	Modular form 1089.2.a.n.1.2
2-33e2-1.1-c1-0-32	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.76837$	Modular form 1089.2.a.w.1.4
2-33e2-1.1-c1-0-33	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.83268$	Modular form 1089.2.a.u.1.4
2-33e2-1.1-c1-0-34	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.85912$	Modular form 1089.2.a.q.1.2
2-33e2-1.1-c1-0-35	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.02313$	Elliptic curve 1089.i Modular form 1089.2.a.i Modular form 1089.2.a.i.1.1
2-33e2-1.1-c1-0-36	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.09666$	Elliptic curve 1089.j Modular form 1089.2.a.j Modular form 1089.2.a.j.1.1
2-33e2-1.1-c1-0-37	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.21209$	Modular form 1089.2.a.v.1.3
2-33e2-1.1-c1-0-38	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$2.34720$	Elliptic curve 1089.k Modular form 1089.2.a.k Modular form 1089.2.a.k.1.1
2-33e2-1.1-c1-0-39	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.36794$	Modular form 1089.2.a.s.1.2
2-33e2-1.1-c1-0-4	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.712704$	Modular form 1089.2.a.u.1.3
2-33e2-1.1-c1-0-40	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.52935$	Modular form 1089.2.a.v.1.4
2-33e2-1.1-c1-0-5	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.723532$	Modular form 1089.2.a.w.1.2
2-33e2-1.1-c1-0-6	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.760258$	Modular form 1089.2.a.t.1.1
2-33e2-1.1-c1-0-7	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.843916$	Elliptic curve 1089.h Modular form 1089.2.a.h Modular form 1089.2.a.h.1.1
2-33e2-1.1-c1-0-8	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.873365$	Modular form 1089.2.a.o.1.1
2-33e2-1.1-c1-0-9	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	1.1	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.884872$	Modular form 1089.2.a.w.1.1
2-33e2-33.32-c1-0-0	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$-0.418$	$0$	$0.190262$	Modular form 1089.2.d.b.1088.2
2-33e2-33.32-c1-0-1	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$0.462$	$0$	$0.236009$	Modular form 1089.2.d.g.1088.2
2-33e2-33.32-c1-0-10	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$-0.185$	$0$	$0.648924$	Modular form 1089.2.d.f.1088.2
2-33e2-33.32-c1-0-11	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$-0.116$	$0$	$0.662520$	Modular form 1089.2.d.g.1088.4
2-33e2-33.32-c1-0-12	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$-0.0105$	$0$	$0.682309$	Modular form 1089.2.d.e.1088.1
2-33e2-33.32-c1-0-13	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$-0.116$	$0$	$0.742722$	Modular form 1089.2.d.g.1088.12
2-33e2-33.32-c1-0-14	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$-0.185$	$0$	$0.816250$	Modular form 1089.2.d.e.1088.3
2-33e2-33.32-c1-0-15	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$0.116$	$0$	$0.968933$	Modular form 1089.2.d.g.1088.3
2-33e2-33.32-c1-0-16	$2.94$	$8.69$	$2$	$3^{2} \cdot 11^{2}$	33.32	$1.0$	$1$	✓	✓			$0.0105$	$0$	$1.05063$	Modular form 1089.2.d.e.1088.2

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 277 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.