LMFDB - Rational 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 number	Primitive	Origin	Exclude origin

				Sort order	Select

Results (1-50 of 69 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-1280e2-1.1-c1e2-0-0	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.330448$	Modular form 1280.2.o.d
4-1280e2-1.1-c1e2-0-1	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.355358$	Modular form 1280.2.d.d
4-1280e2-1.1-c1e2-0-10	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.529029$	Modular form 1280.2.c.b
4-1280e2-1.1-c1e2-0-11	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.534760$	Modular form 1280.2.n.f
4-1280e2-1.1-c1e2-0-12	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.547532$	Modular form 1280.2.a.g
4-1280e2-1.1-c1e2-0-13	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.560341$	Bianchi modular form 2.0.8.1-25600.1-d Bianchi modular form 2.0.8.1-25600.1-g Elliptic curve 2.0.8.1-25600.1-d Elliptic curve 2.0.8.1-25600.1-g
4-1280e2-1.1-c1e2-0-14	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.568268$	Modular form 1280.2.n.a
4-1280e2-1.1-c1e2-0-15	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.631313$	Modular form 1280.2.o.j
4-1280e2-1.1-c1e2-0-16	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.641103$	Modular form 1280.2.a.j
4-1280e2-1.1-c1e2-0-17	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.655822$	Modular form 1280.2.n.i
4-1280e2-1.1-c1e2-0-18	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.661253$	Modular form 1280.2.d.e
4-1280e2-1.1-c1e2-0-19	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.688730$	Modular form 1280.2.d.g
4-1280e2-1.1-c1e2-0-2	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.367294$	Modular form 1280.2.a.h
4-1280e2-1.1-c1e2-0-20	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.697567$	Modular form 1280.2.a.n
4-1280e2-1.1-c1e2-0-21	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.713853$	Modular form 1280.2.f.c
4-1280e2-1.1-c1e2-0-22	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.726855$	Modular form 1280.2.n.l
4-1280e2-1.1-c1e2-0-23	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.729949$	Modular form 1280.2.d.a
4-1280e2-1.1-c1e2-0-24	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.748343$	Modular form 1280.2.n.g
4-1280e2-1.1-c1e2-0-25	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.780095$	Modular form 1280.2.o.n
4-1280e2-1.1-c1e2-0-26	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.797254$	Modular form 1280.2.o.l
4-1280e2-1.1-c1e2-0-27	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.820320$	Modular form 1280.2.o.g
4-1280e2-1.1-c1e2-0-28	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.830256$	Modular form 1280.2.d.i
4-1280e2-1.1-c1e2-0-29	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.833254$	Modular form 1280.2.c.a
4-1280e2-1.1-c1e2-0-3	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.383689$	Bianchi modular form 2.0.8.1-25600.1-b Bianchi modular form 2.0.8.1-25600.1-i Elliptic curve 2.0.8.1-25600.1-b Elliptic curve 2.0.8.1-25600.1-i
4-1280e2-1.1-c1e2-0-30	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.843167$	Modular form 1280.2.n.h
4-1280e2-1.1-c1e2-0-31	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.847474$	Modular form 1280.2.a.f
4-1280e2-1.1-c1e2-0-32	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.847842$	Modular form 1280.2.a.b
4-1280e2-1.1-c1e2-0-33	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.850096$	Modular form 1280.2.c.c
4-1280e2-1.1-c1e2-0-34	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.852935$	Modular form 1280.2.a.k
4-1280e2-1.1-c1e2-0-35	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.877181$	Modular form 1280.2.n.k
4-1280e2-1.1-c1e2-0-36	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$2$	$0.878529$	Modular form 1280.2.o.c
4-1280e2-1.1-c1e2-0-37	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.881532$	Bianchi modular form 2.0.8.1-25600.1-e Bianchi modular form 2.0.8.1-25600.1-f Elliptic curve 2.0.8.1-25600.1-e Elliptic curve 2.0.8.1-25600.1-f
4-1280e2-1.1-c1e2-0-38	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.903086$	Modular form 1280.2.f.b
4-1280e2-1.1-c1e2-0-39	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$2$	$0.908202$	Modular form 1280.2.f.a
4-1280e2-1.1-c1e2-0-4	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.392488$	Modular form 1280.2.o.i
4-1280e2-1.1-c1e2-0-40	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.939645$	Modular form 1280.2.a.l
4-1280e2-1.1-c1e2-0-41	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.976448$	Modular form 1280.2.o.m
4-1280e2-1.1-c1e2-0-42	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.980027$	Modular form 1280.2.c.d
4-1280e2-1.1-c1e2-0-43	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.986084$	Modular form 1280.2.n.j
4-1280e2-1.1-c1e2-0-44	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.995301$	Modular form 1280.2.a.p
4-1280e2-1.1-c1e2-0-45	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.00378$	Bianchi modular form 2.0.8.1-25600.1-a Bianchi modular form 2.0.8.1-25600.1-j Elliptic curve 2.0.8.1-25600.1-a Elliptic curve 2.0.8.1-25600.1-j
4-1280e2-1.1-c1e2-0-46	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.00894$	Modular form 1280.2.d.f
4-1280e2-1.1-c1e2-0-47	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.01509$	Modular form 1280.2.d.j
4-1280e2-1.1-c1e2-0-48	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.07273$	Modular form 1280.2.o.p
4-1280e2-1.1-c1e2-0-49	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.07419$	Modular form 1280.2.a.o
4-1280e2-1.1-c1e2-0-5	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.421865$	Modular form 1280.2.o.h
4-1280e2-1.1-c1e2-0-50	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.08571$	Modular form 1280.2.d.h
4-1280e2-1.1-c1e2-0-51	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.10196$	Modular form 1280.2.o.e
4-1280e2-1.1-c1e2-0-52	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.10858$	Modular form 1280.2.o.f
4-1280e2-1.1-c1e2-0-53	$3.19$	$104.$	$4$	$2^{16} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$2$	$1.16129$	Modular form 1280.2.o.b

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 $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 69 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.