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 230 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1840-1.1-c1-0-0	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.329571$	Modular form 1840.2.a.v.1.2
2-1840-1.1-c1-0-1	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.415997$	Modular form 1840.2.a.n.1.1
2-1840-1.1-c1-0-10	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.836472$	Modular form 1840.2.a.j.1.1
2-1840-1.1-c1-0-11	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.888337$	Modular form 1840.2.a.j.1.2
2-1840-1.1-c1-0-12	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.925158$	Elliptic curve 1840.c Modular form 1840.2.a.c Modular form 1840.2.a.c.1.1
2-1840-1.1-c1-0-13	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.943553$	Elliptic curve 1840.f Modular form 1840.2.a.f Modular form 1840.2.a.f.1.1
2-1840-1.1-c1-0-14	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.996302$	Modular form 1840.2.a.u.1.2
2-1840-1.1-c1-0-15	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.09845$	Modular form 1840.2.a.v.1.4
2-1840-1.1-c1-0-16	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.14551$	Modular form 1840.2.a.o.1.2
2-1840-1.1-c1-0-17	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.15726$	Elliptic curve 1840.a Modular form 1840.2.a.a Modular form 1840.2.a.a.1.1
2-1840-1.1-c1-0-18	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.16317$	Modular form 1840.2.a.t.1.1
2-1840-1.1-c1-0-19	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.19054$	Elliptic curve 1840.h Modular form 1840.2.a.h Modular form 1840.2.a.h.1.1
2-1840-1.1-c1-0-2	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.505203$	Modular form 1840.2.a.u.1.1
2-1840-1.1-c1-0-20	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.23239$	Modular form 1840.2.a.s.1.3
2-1840-1.1-c1-0-21	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.29240$	Modular form 1840.2.a.u.1.3
2-1840-1.1-c1-0-22	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.32419$	Modular form 1840.2.a.n.1.2
2-1840-1.1-c1-0-23	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.35246$	Modular form 1840.2.a.r.1.2
2-1840-1.1-c1-0-24	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.35504$	Modular form 1840.2.a.r.1.1
2-1840-1.1-c1-0-25	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.36950$	Modular form 1840.2.a.k.1.2
2-1840-1.1-c1-0-26	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.38284$	Modular form 1840.2.a.q.1.1
2-1840-1.1-c1-0-27	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.43634$	Modular form 1840.2.a.u.1.4
2-1840-1.1-c1-0-28	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.44146$	Modular form 1840.2.a.m.1.1
2-1840-1.1-c1-0-29	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$1.46283$	Modular form 1840.2.a.v.1.5
2-1840-1.1-c1-0-3	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.535926$	Modular form 1840.2.a.k.1.1
2-1840-1.1-c1-0-30	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.48839$	Modular form 1840.2.a.q.1.2
2-1840-1.1-c1-0-31	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.50488$	Elliptic curve 1840.i Modular form 1840.2.a.i Modular form 1840.2.a.i.1.1
2-1840-1.1-c1-0-32	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.51878$	Elliptic curve 1840.b Modular form 1840.2.a.b Modular form 1840.2.a.b.1.1
2-1840-1.1-c1-0-33	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.53776$	Modular form 1840.2.a.l.1.1
2-1840-1.1-c1-0-34	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.61688$	Elliptic curve 1840.e Modular form 1840.2.a.e Modular form 1840.2.a.e.1.1
2-1840-1.1-c1-0-35	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.70809$	Modular form 1840.2.a.t.1.2
2-1840-1.1-c1-0-36	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.75398$	Modular form 1840.2.a.p.1.1
2-1840-1.1-c1-0-37	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.81529$	Modular form 1840.2.a.l.1.2
2-1840-1.1-c1-0-38	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$1.96535$	Modular form 1840.2.a.p.1.2
2-1840-1.1-c1-0-39	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0.5$	$1$	$1.99295$	Elliptic curve 1840.g Modular form 1840.2.a.g Modular form 1840.2.a.g.1.1
2-1840-1.1-c1-0-4	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$0.720595$	Elliptic curve 1840.d Modular form 1840.2.a.d Modular form 1840.2.a.d.1.1
2-1840-1.1-c1-0-40	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.01861$	Modular form 1840.2.a.m.1.2
2-1840-1.1-c1-0-41	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.04127$	Modular form 1840.2.a.q.1.3
2-1840-1.1-c1-0-42	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.14756$	Modular form 1840.2.a.t.1.3
2-1840-1.1-c1-0-43	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0.5$	$1$	$2.18143$	Modular form 1840.2.a.r.1.3
2-1840-1.1-c1-0-5	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.735361$	Modular form 1840.2.a.s.1.1
2-1840-1.1-c1-0-6	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.739301$	Modular form 1840.2.a.v.1.3
2-1840-1.1-c1-0-7	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.755330$	Modular form 1840.2.a.o.1.1
2-1840-1.1-c1-0-8	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.819094$	Modular form 1840.2.a.s.1.2
2-1840-1.1-c1-0-9	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	1.1	$$	$1.0$	$1$	✓	✓		✓	$0$	$0$	$0.833169$	Modular form 1840.2.a.v.1.1
2-1840-460.459-c1-0-0	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	460.459	$$	$1.0$	$1$	✓	✓			$0.416$	$0$	$0.0508142$	Modular form 1840.2.m.e.1839.4
2-1840-460.459-c1-0-1	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	460.459	$$	$1.0$	$1$	✓	✓			$0.258$	$0$	$0.0653289$	Modular form 1840.2.m.g.1839.8
2-1840-460.459-c1-0-10	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	460.459	$$	$1.0$	$1$	✓	✓			$-0.192$	$0$	$0.276690$	Modular form 1840.2.m.g.1839.4
2-1840-460.459-c1-0-11	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	460.459	$$	$1.0$	$1$	✓	✓			$-0.193$	$0$	$0.302417$	Modular form 1840.2.m.g.1839.18
2-1840-460.459-c1-0-12	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	460.459	$$	$1.0$	$1$	✓	✓			$-0.307$	$0$	$0.307537$	Modular form 1840.2.m.g.1839.10
2-1840-460.459-c1-0-13	$3.83$	$14.6$	$2$	$2^{4} \cdot 5 \cdot 23$	460.459	$$	$1.0$	$1$	✓	✓			$-0.416$	$0$	$0.307721$	Modular form 1840.2.m.e.1839.8

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 230 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.