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 1380 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-2100-105.17-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.17	$0.0$	✓	✓	$0.0679$	$0$	$1.06826$	Modular form 2100.1.cj.b.857.1
2-2100-105.17-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.17	$0.0$	✓	✓	$-0.0409$	$0$	$1.20973$	Modular form 2100.1.cj.a.857.2
2-2100-105.17-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.17	$0.0$	✓	✓	$0.241$	$0$	$1.59210$	Modular form 2100.1.cj.a.857.1
2-2100-105.17-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.17	$0.0$	✓	✓	$0.0679$	$0$	$1.68580$	Modular form 2100.1.cj.b.857.2
2-2100-105.38-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.38	$0.0$	✓	✓	$-0.108$	$0$	$0.654896$	Modular form 2100.1.cj.b.1193.1
2-2100-105.38-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.38	$0.0$	✓	✓	$-0.332$	$0$	$0.770191$	Modular form 2100.1.cj.a.1193.2
2-2100-105.38-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.38	$0.0$	✓	✓	$-0.108$	$0$	$1.18737$	Modular form 2100.1.cj.b.1193.2
2-2100-105.38-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.38	$0.0$	✓	✓	$0.385$	$0$	$1.78317$	Modular form 2100.1.cj.a.1193.1
2-2100-105.44-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.44	$0.0$	✓	✓	$-0.269$	$0$	$0.509782$	Modular form 2100.1.bh.a.149.1
2-2100-105.44-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.44	$0.0$	✓	✓	$-0.000544$	$0$	$1.16061$	Modular form 2100.1.bh.b.149.1
2-2100-105.44-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.44	$0.0$	✓	✓	$0.0827$	$0$	$1.59622$	Modular form 2100.1.bh.a.149.2
2-2100-105.44-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.44	$0.0$	✓	✓	$0.147$	$0$	$1.65475$	Modular form 2100.1.bh.b.149.2
2-2100-105.47-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.47	$0.0$	✓	✓	$-0.385$	$0$	$0.589720$	Modular form 2100.1.cj.a.257.1
2-2100-105.47-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.47	$0.0$	✓	✓	$0.108$	$0$	$1.29038$	Modular form 2100.1.cj.b.257.2
2-2100-105.47-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.47	$0.0$	✓	✓	$0.108$	$0$	$1.46831$	Modular form 2100.1.cj.b.257.1
2-2100-105.47-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.47	$0.0$	✓	✓	$0.332$	$0$	$2.01497$	Modular form 2100.1.cj.a.257.2
2-2100-105.62-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.62	$0.0$	✓	✓	$-0.0785$	$0$	$0.950062$	Modular form 2100.1.u.b.2057.1
2-2100-105.62-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.62	$0.0$	✓	✓	$-0.187$	$0$	$0.985806$	Modular form 2100.1.u.a.2057.3
2-2100-105.62-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.62	$0.0$	✓	✓	$-0.238$	$0$	$1.01380$	Modular form 2100.1.u.a.2057.4
2-2100-105.62-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.62	$0.0$	✓	✓	$-0.0785$	$0$	$1.08552$	Modular form 2100.1.u.b.2057.4
2-2100-105.62-c0-0-4	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.62	$0.0$	✓	✓	$0.0945$	$0$	$1.15089$	Modular form 2100.1.u.a.2057.2
2-2100-105.62-c0-0-5	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.62	$0.0$	✓	✓	$0.254$	$0$	$1.71276$	Modular form 2100.1.u.b.2057.2
2-2100-105.62-c0-0-6	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.62	$0.0$	✓	✓	$0.254$	$0$	$1.77394$	Modular form 2100.1.u.b.2057.3
2-2100-105.62-c0-0-7	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.62	$0.0$	✓	✓	$0.479$	$0$	$1.90684$	Modular form 2100.1.u.a.2057.1
2-2100-105.68-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.68	$0.0$	✓	✓	$-0.241$	$0$	$0.553373$	Modular form 2100.1.cj.a.593.1
2-2100-105.68-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.68	$0.0$	✓	✓	$-0.0679$	$0$	$0.744473$	Modular form 2100.1.cj.b.593.1
2-2100-105.68-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.68	$0.0$	✓	✓	$-0.0679$	$0$	$1.35093$	Modular form 2100.1.cj.b.593.2
2-2100-105.68-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.68	$0.0$	✓	✓	$0.0409$	$0$	$1.56723$	Modular form 2100.1.cj.a.593.2
2-2100-105.74-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.74	$0.0$	✓	✓	$0.000544$	$0$	$0.871879$	Modular form 2100.1.bh.b.1649.1
2-2100-105.74-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.74	$0.0$	✓	✓	$-0.147$	$0$	$1.18405$	Modular form 2100.1.bh.b.1649.2
2-2100-105.74-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.74	$0.0$	✓	✓	$0.269$	$0$	$1.32623$	Modular form 2100.1.bh.a.1649.1
2-2100-105.74-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.74	$0.0$	✓	✓	$-0.0827$	$0$	$1.36766$	Modular form 2100.1.bh.a.1649.2
2-2100-105.83-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.83	$0.0$	✓	✓	$-0.254$	$0$	$0.264046$	Modular form 2100.1.u.b.293.2
2-2100-105.83-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.83	$0.0$	✓	✓	$-0.479$	$0$	$0.303037$	Modular form 2100.1.u.a.293.1
2-2100-105.83-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.83	$0.0$	✓	✓	$-0.254$	$0$	$1.04194$	Modular form 2100.1.u.b.293.3
2-2100-105.83-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.83	$0.0$	✓	✓	$-0.0945$	$0$	$1.06131$	Modular form 2100.1.u.a.293.2
2-2100-105.83-c0-0-4	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.83	$0.0$	✓	✓	$0.0785$	$0$	$1.18513$	Modular form 2100.1.u.b.293.1
2-2100-105.83-c0-0-5	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.83	$0.0$	✓	✓	$0.187$	$0$	$1.58690$	Modular form 2100.1.u.a.293.3
2-2100-105.83-c0-0-6	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.83	$0.0$	✓	✓	$0.0785$	$0$	$1.63289$	Modular form 2100.1.u.b.293.4
2-2100-105.83-c0-0-7	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	105.83	$0.0$	✓	✓	$0.238$	$0$	$1.96360$	Modular form 2100.1.u.a.293.4
2-2100-21.11-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	21.11	$0.0$	✓	✓	$-0.0732$	$0$	$1.28888$	Artin representation 2.2100.6t5.a.b Modular form 2100.1.bn.a.1901.1
2-2100-21.11-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	21.11	$0.0$	✓	✓	$0.0934$	$0$	$1.37010$	Artin representation 2.2100.12t18.e.b Modular form 2100.1.bn.c.1901.1
2-2100-21.11-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	21.11	$0.0$	✓	✓	$0.426$	$0$	$2.13866$	Artin representation 2.2100.12t18.d.a Modular form 2100.1.bn.b.1901.1
2-2100-21.2-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	21.2	$0.0$	✓	✓	$-0.426$	$0$	$0.417412$	Artin representation 2.2100.12t18.d.b Modular form 2100.1.bn.b.401.1
2-2100-21.2-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	21.2	$0.0$	✓	✓	$0.0732$	$0$	$1.13882$	Artin representation 2.2100.6t5.a.a Modular form 2100.1.bn.a.401.1
2-2100-21.2-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	21.2	$0.0$	✓	✓	$-0.0934$	$0$	$1.31695$	Artin representation 2.2100.12t18.e.a Modular form 2100.1.bn.c.401.1
2-2100-2100.1091-c0-0-0	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	2100.1091	$0.0$	✓	✓	$-0.280$	$0$	$0.772662$	Modular form 2100.1.bs.a.1091.1
2-2100-2100.1091-c0-0-1	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	2100.1091	$0.0$	✓	✓	$-0.280$	$0$	$0.780802$	Modular form 2100.1.bs.d.1091.1
2-2100-2100.1091-c0-0-2	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	2100.1091	$0.0$	✓	✓	$-0.280$	$0$	$1.28248$	Modular form 2100.1.bs.c.1091.1
2-2100-2100.1091-c0-0-3	$1.02$	$1.04$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 7$	2100.1091	$0.0$	✓	✓	$-0.280$	$0$	$2.08712$	Modular form 2100.1.bs.b.1091.1

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 1380 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.