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 6384 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-580-580.127-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.127	$0.0$	✓	✓	$0.0597$	$0$	$1.26867$	Modular form 580.1.bd.a.127.1
2-580-580.139-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.139	$0.0$	✓	✓	$0.121$	$0$	$2.05782$	Modular form 580.1.v.b.139.1
2-580-580.139-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.139	$0.0$	✓	✓	$0.121$	$0$	$2.07123$	Modular form 580.1.v.a.139.1
2-580-580.143-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.143	$0.0$	✓	✓	$-0.298$	$0$	$1.28913$	Modular form 580.1.bd.a.143.1
2-580-580.147-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.147	$0.0$	✓	✓	$-0.144$	$0$	$1.83241$	Modular form 580.1.bd.a.147.1
2-580-580.163-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.163	$0.0$	✓	✓	$-0.0107$	$0$	$1.35795$	Modular form 580.1.bd.a.163.1
2-580-580.179-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.179	$0.0$	✓	✓	$-0.0938$	$0$	$0.923256$	Modular form 580.1.y.b.179.1
2-580-580.179-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.179	$0.0$	✓	✓	$-0.0224$	$0$	$1.31532$	Modular form 580.1.y.c.179.2
2-580-580.179-c0-0-2	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.179	$0.0$	✓	✓	$-0.236$	$0$	$1.60006$	Modular form 580.1.y.a.179.1
2-580-580.179-c0-0-3	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.179	$0.0$	✓	✓	$-0.0224$	$0$	$2.09374$	Modular form 580.1.y.c.179.1
2-580-580.199-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.199	$0.0$	✓	✓	$-0.214$	$0$	$0.452328$	Modular form 580.1.v.b.199.1
2-580-580.199-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.199	$0.0$	✓	✓	$-0.214$	$0$	$1.44325$	Modular form 580.1.v.a.199.1
2-580-580.219-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.219	$0.0$	✓	✓	$0.0562$	$0$	$1.27290$	Modular form 580.1.v.a.219.1
2-580-580.219-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.219	$0.0$	✓	✓	$0.0562$	$0$	$2.60241$	Modular form 580.1.v.b.219.1
2-580-580.239-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.239	$0.0$	✓	✓	$0.214$	$0$	$1.86810$	Modular form 580.1.v.a.239.1
2-580-580.239-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.239	$0.0$	✓	✓	$0.214$	$0$	$2.51264$	Modular form 580.1.v.b.239.1
2-580-580.243-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.243	$0.0$	✓	✓	$-0.192$	$0$	$1.40937$	Modular form 580.1.bm.a.243.1
2-580-580.247-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.247	$0.0$	✓	✓	$-0.174$	$0$	$1.83745$	Modular form 580.1.bm.a.247.1
2-580-580.263-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.263	$0.0$	✓	✓	$0.174$	$0$	$2.47849$	Modular form 580.1.bm.a.263.1
2-580-580.27-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.27	$0.0$	✓	✓	$-0.331$	$0$	$0.660350$	Modular form 580.1.bm.a.27.1
2-580-580.287-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.287	$0.0$	✓	✓	$-0.00208$	$0$	$1.88001$	Modular form 580.1.bm.a.287.1
2-580-580.299-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.299	$0.0$	✓	✓	$0.391$	$0$	$0.689145$	Modular form 580.1.y.c.299.2
2-580-580.299-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.299	$0.0$	✓	✓	$-0.251$	$0$	$0.974021$	Modular form 580.1.y.a.299.1
2-580-580.299-c0-0-2	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.299	$0.0$	✓	✓	$0.177$	$0$	$2.44541$	Modular form 580.1.y.b.299.1
2-580-580.299-c0-0-3	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.299	$0.0$	✓	✓	$0.391$	$0$	$2.60935$	Modular form 580.1.y.c.299.1
2-580-580.3-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.3	$0.0$	✓	✓	$0.0364$	$0$	$1.61442$	Modular form 580.1.bm.a.3.1
2-580-580.307-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.307	$0.0$	✓	✓	$-0.0578$	$0$	$1.88528$	Artin representation 2.580.8t17.c.b Modular form 580.1.t.a.307.1
2-580-580.327-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.327	$0.0$	✓	✓	$0.192$	$0$	$1.69134$	Modular form 580.1.bm.a.327.1
2-580-580.339-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.339	$0.0$	✓	✓	$-0.0562$	$0$	$0.820429$	Modular form 580.1.v.a.339.1
2-580-580.339-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.339	$0.0$	✓	✓	$-0.0562$	$0$	$2.07400$	Modular form 580.1.v.b.339.1
2-580-580.363-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.363	$0.0$	✓	✓	$0.144$	$0$	$1.96869$	Modular form 580.1.bd.a.363.1
2-580-580.367-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.367	$0.0$	✓	✓	$-0.459$	$0$	$0.613385$	Modular form 580.1.bd.a.367.1
2-580-580.387-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.387	$0.0$	✓	✓	$-0.0364$	$0$	$1.35833$	Modular form 580.1.bm.a.387.1
2-580-580.399-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.399	$0.0$	✓	✓	$0.0145$	$0$	$1.06682$	Modular form 580.1.y.a.399.1
2-580-580.399-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.399	$0.0$	✓	✓	$-0.271$	$0$	$1.43365$	Modular form 580.1.y.b.399.1
2-580-580.399-c0-0-2	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.399	$0.0$	✓	✓	$0.0860$	$0$	$1.68327$	Modular form 580.1.y.c.399.1
2-580-580.399-c0-0-3	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.399	$0.0$	✓	✓	$0.0860$	$0$	$2.28873$	Modular form 580.1.y.c.399.2
2-580-580.403-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.403	$0.0$	✓	✓	$0.459$	$0$	$2.38262$	Modular form 580.1.bd.a.403.1
2-580-580.419-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.419	$0.0$	✓	✓	$-0.391$	$0$	$1.10609$	Modular form 580.1.y.c.419.1
2-580-580.419-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.419	$0.0$	✓	✓	$-0.177$	$0$	$1.58495$	Modular form 580.1.y.b.419.1
2-580-580.419-c0-0-2	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.419	$0.0$	✓	✓	$0.251$	$0$	$1.99511$	Modular form 580.1.y.a.419.1
2-580-580.419-c0-0-3	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.419	$0.0$	✓	✓	$-0.391$	$0$	$3.21768$	Modular form 580.1.y.c.419.2
2-580-580.423-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.423	$0.0$	✓	✓	$0.118$	$0$	$1.45548$	Artin representation 2.580.8t17.d.b Modular form 580.1.i.a.423.1
2-580-580.427-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.427	$0.0$	✓	✓	$0.0107$	$0$	$1.78752$	Modular form 580.1.bd.a.427.1
2-580-580.43-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.43	$0.0$	✓	✓	$0.331$	$0$	$1.88642$	Modular form 580.1.bm.a.43.1
2-580-580.439-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.439	$0.0$	✓	✓	$-0.0860$	$0$	$1.34909$	Modular form 580.1.y.c.439.1
2-580-580.439-c0-0-1	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.439	$0.0$	✓	✓	$-0.0860$	$0$	$1.69893$	Modular form 580.1.y.c.439.2
2-580-580.439-c0-0-2	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.439	$0.0$	✓	✓	$-0.0145$	$0$	$1.74920$	Modular form 580.1.y.a.439.1
2-580-580.439-c0-0-3	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.439	$0.0$	✓	✓	$0.271$	$0$	$2.20133$	Modular form 580.1.y.b.439.1
2-580-580.443-c0-0-0	$0.538$	$0.289$	$2$	$2^{2} \cdot 5 \cdot 29$	580.443	$0.0$	✓	✓	$-0.0597$	$0$	$1.27142$	Modular form 580.1.bd.a.443.1

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 6384 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.