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 541 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
2-2156-11.10-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	11.10	$0.0$	✓	✓		✓	$0$	$0$	$0.679847$	Modular form 2156.1.h.c.197.2
2-2156-11.10-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	11.10	$0.0$	✓	✓		✓	$0$	$0$	$0.697627$	Modular form 2156.1.h.c.197.1
2-2156-11.10-c0-0-2	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	11.10	$0.0$	✓	✓		✓	$0$	$0$	$1.16791$	Modular form 2156.1.h.b.197.1
2-2156-11.10-c0-0-3	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	11.10	$0.0$	✓	✓		✓	$0$	$0$	$1.34919$	Modular form 2156.1.h.b.197.2
2-2156-11.10-c0-0-4	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	11.10	$0.0$	✓	✓		✓	$0$	$0$	$1.49257$	Modular form 2156.1.h.c.197.3
2-2156-11.10-c0-0-5	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	11.10	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.58972$	Artin representation 2.2156.6t3.a Artin representation 2.2156.6t3.a.a Modular form 2156.1.h.a Modular form 2156.1.h.a.197.1
2-2156-11.10-c0-0-6	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	11.10	$0.0$	✓	✓		✓	$0$	$0$	$1.83729$	Modular form 2156.1.h.c.197.4
2-2156-308.131-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.131	$0.0$	✓	✓			$-0.0934$	$0$	$1.16026$	Modular form 2156.1.m.a.1979.1
2-2156-308.131-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.131	$0.0$	✓	✓			$0.406$	$0$	$1.91367$	Modular form 2156.1.m.b.1979.1
2-2156-308.135-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.135	$0.0$	✓	✓			$-0.0760$	$0$	$1.39768$	Modular form 2156.1.bk.b.1059.1
2-2156-308.135-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.135	$0.0$	✓	✓			$0.223$	$0$	$1.64359$	Modular form 2156.1.bk.a.1059.1
2-2156-308.163-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.163	$0.0$	✓	✓			$-0.237$	$0$	$1.06641$	Modular form 2156.1.bk.b.471.1
2-2156-308.163-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.163	$0.0$	✓	✓			$-0.137$	$0$	$1.26682$	Modular form 2156.1.bk.a.471.1
2-2156-308.171-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.171	$0.0$	✓	✓			$0.0399$	$0$	$0.782767$	Modular form 2156.1.bm.a.1403.1
2-2156-308.171-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.171	$0.0$	✓	✓			$-0.0600$	$0$	$0.898169$	Modular form 2156.1.bm.b.1403.1
2-2156-308.179-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.179	$0.0$	✓	✓			$0.183$	$0$	$1.11258$	Modular form 2156.1.bk.a.2027.1
2-2156-308.179-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.179	$0.0$	✓	✓			$-0.116$	$0$	$1.12246$	Modular form 2156.1.bk.b.2027.1
2-2156-308.19-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.19	$0.0$	✓	✓			$-0.154$	$0$	$1.21491$	Modular form 2156.1.bm.a.19.1
2-2156-308.19-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.19	$0.0$	✓	✓			$0.145$	$0$	$1.64337$	Modular form 2156.1.bm.b.19.1
2-2156-308.191-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.191	$0.0$	✓	✓			$-0.183$	$0$	$1.10093$	Modular form 2156.1.bk.a.2039.1
2-2156-308.191-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.191	$0.0$	✓	✓			$0.116$	$0$	$1.14888$	Modular form 2156.1.bk.b.2039.1
2-2156-308.207-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.207	$0.0$	✓	✓			$-0.277$	$0$	$0.312202$	Modular form 2156.1.bk.b.1439.1
2-2156-308.207-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.207	$0.0$	✓	✓			$-0.177$	$0$	$0.880608$	Modular form 2156.1.bk.a.1439.1
2-2156-308.215-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.215	$0.0$	✓	✓			$-0.146$	$0$	$0.868505$	Modular form 2156.1.bm.a.215.1
2-2156-308.215-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.215	$0.0$	✓	✓			$-0.246$	$0$	$1.18413$	Modular form 2156.1.bm.b.215.1
2-2156-308.227-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.227	$0.0$	✓	✓			$-0.145$	$0$	$1.30595$	Modular form 2156.1.bm.b.227.1
2-2156-308.227-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.227	$0.0$	✓	✓			$0.154$	$0$	$1.97335$	Modular form 2156.1.bm.a.227.1
2-2156-308.235-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.235	$0.0$	✓	✓			$-0.223$	$0$	$0.536695$	Modular form 2156.1.bk.a.851.1
2-2156-308.235-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.235	$0.0$	✓	✓			$0.0760$	$0$	$1.60051$	Modular form 2156.1.bk.b.851.1
2-2156-308.247-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.247	$0.0$	✓	✓			$0.177$	$0$	$1.14768$	Modular form 2156.1.bk.a.863.1
2-2156-308.247-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.247	$0.0$	✓	✓			$0.277$	$0$	$1.51462$	Modular form 2156.1.bk.b.863.1
2-2156-308.255-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.255	$0.0$	✓	✓			$0.146$	$0$	$1.24413$	Modular form 2156.1.bm.a.1795.1
2-2156-308.255-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.255	$0.0$	✓	✓			$0.246$	$0$	$1.63845$	Modular form 2156.1.bm.b.1795.1
2-2156-308.271-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.271	$0.0$	✓	✓			$-0.0323$	$0$	$0.758687$	Modular form 2156.1.bm.a.1195.1
2-2156-308.271-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.271	$0.0$	✓	✓			$-0.332$	$0$	$2.00155$	Modular form 2156.1.bm.b.1195.1
2-2156-308.283-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.283	$0.0$	✓	✓			$0.332$	$0$	$0.0181890$	Modular form 2156.1.bm.b.1207.1
2-2156-308.283-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.283	$0.0$	✓	✓			$0.0323$	$0$	$1.28556$	Modular form 2156.1.bm.a.1207.1
2-2156-308.291-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.291	$0.0$	✓	✓			$0.237$	$0$	$1.26683$	Modular form 2156.1.bk.b.1831.1
2-2156-308.291-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.291	$0.0$	✓	✓			$0.137$	$0$	$1.89640$	Modular form 2156.1.bk.a.1831.1
2-2156-308.299-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.299	$0.0$	✓	✓			$0.0600$	$0$	$1.00554$	Modular form 2156.1.bm.b.607.1
2-2156-308.299-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.299	$0.0$	✓	✓			$-0.0399$	$0$	$1.37203$	Modular form 2156.1.bm.a.607.1
2-2156-308.87-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.87	$0.0$	✓	✓			$-0.406$	$0$	$0.755899$	Modular form 2156.1.m.b.1011.1
2-2156-308.87-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	308.87	$0.0$	✓	✓			$0.0934$	$0$	$1.01363$	Modular form 2156.1.m.a.1011.1
2-2156-44.15-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	44.15	$0.0$	✓	✓			$-0.403$	$0$	$0.475489$	Modular form 2156.1.v.a.1863.1
2-2156-44.15-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	44.15	$0.0$	✓	✓			$0.296$	$0$	$1.93613$	Modular form 2156.1.v.b.1863.1
2-2156-44.27-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	44.27	$0.0$	✓	✓			$-0.342$	$0$	$0.729489$	Modular form 2156.1.v.b.687.1
2-2156-44.27-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	44.27	$0.0$	✓	✓			$-0.242$	$0$	$1.12812$	Modular form 2156.1.v.a.687.1
2-2156-44.3-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	44.3	$0.0$	✓	✓			$-0.296$	$0$	$0.963113$	Modular form 2156.1.v.b.883.1
2-2156-44.3-c0-0-1	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	44.3	$0.0$	✓	✓			$0.403$	$0$	$1.44882$	Modular form 2156.1.v.a.883.1
2-2156-44.31-c0-0-0	$1.03$	$1.07$	$2$	$2^{2} \cdot 7^{2} \cdot 11$	44.31	$0.0$	✓	✓			$0.342$	$0$	$1.46071$	Modular form 2156.1.v.b.295.1

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 541 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.