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 62 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-740-185.154-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	185.154	$0.0$	✓	✓	$-0.111$	$0$	$1.46806$	Modular form 740.1.t.b.709.1
2-740-185.154-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	185.154	$0.0$	✓	✓	$0.138$	$0$	$1.76449$	Modular form 740.1.t.a.709.1
2-740-185.179-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	185.179	$0.0$	✓	✓	$-0.138$	$0$	$1.02748$	Modular form 740.1.t.a.549.1
2-740-185.179-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	185.179	$0.0$	✓	✓	$0.111$	$0$	$2.28419$	Modular form 740.1.t.b.549.1
2-740-740.103-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.103	$0.0$	✓	✓	$-0.333$	$0$	$1.18650$	Modular form 740.1.bj.a.103.1
2-740-740.139-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.139	$0.0$	✓	✓	$-0.179$	$0$	$1.52559$	Modular form 740.1.bu.a.139.1
2-740-740.139-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.139	$0.0$	✓	✓	$0.264$	$0$	$1.79135$	Modular form 740.1.bu.b.139.1
2-740-740.143-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.143	$0.0$	✓	✓	$0.0490$	$0$	$1.90368$	Modular form 740.1.cb.a.143.1
2-740-740.159-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.159	$0.0$	✓	✓	$-0.380$	$0$	$0.868684$	Modular form 740.1.v.b.159.1
2-740-740.159-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.159	$0.0$	✓	✓	$0.286$	$0$	$1.68090$	Modular form 740.1.v.a.159.1
2-740-740.163-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.163	$0.0$	✓	✓	$-0.0294$	$0$	$1.97992$	Modular form 740.1.cb.a.163.1
2-740-740.167-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.167	$0.0$	✓	✓	$0.0808$	$0$	$1.44385$	Modular form 740.1.cb.a.167.1
2-740-740.183-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.183	$0.0$	✓	✓	$-0.230$	$0$	$1.62788$	Modular form 740.1.bw.a.183.1
2-740-740.187-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.187	$0.0$	✓	✓	$-0.479$	$0$	$2.20053$	Modular form 740.1.bw.a.187.1
2-740-740.203-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.203	$0.0$	✓	✓	$0.184$	$0$	$1.68215$	Modular form 740.1.cb.a.203.1
2-740-740.207-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.207	$0.0$	✓	✓	$-0.0490$	$0$	$1.92502$	Modular form 740.1.cb.a.207.1
2-740-740.227-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.227	$0.0$	✓	✓	$0.0294$	$0$	$1.78805$	Modular form 740.1.cb.a.227.1
2-740-740.23-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.23	$0.0$	✓	✓	$0.176$	$0$	$1.59090$	Modular form 740.1.bm.a.23.1
2-740-740.267-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.267	$0.0$	✓	✓	$-0.286$	$0$	$1.39292$	Modular form 740.1.bj.a.267.1
2-740-740.283-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.283	$0.0$	✓	✓	$-0.213$	$0$	$1.10294$	Modular form 740.1.cb.a.283.1
2-740-740.299-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.299	$0.0$	✓	✓	$-0.0785$	$0$	$1.02071$	Modular form 740.1.bu.b.299.1
2-740-740.299-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.299	$0.0$	✓	✓	$-0.300$	$0$	$1.10631$	Modular form 740.1.bu.a.299.1
2-740-740.327-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.327	$0.0$	✓	✓	$0.0237$	$0$	$1.08203$	Modular form 740.1.p.a.327.1
2-740-740.347-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.347	$0.0$	✓	✓	$-0.223$	$0$	$1.44415$	Modular form 740.1.bm.a.347.1
2-740-740.383-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.383	$0.0$	✓	✓	$-0.111$	$0$	$1.57231$	Modular form 740.1.bw.a.383.1
2-740-740.387-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.387	$0.0$	✓	✓	$0.213$	$0$	$1.47010$	Modular form 740.1.cb.a.387.1
2-740-740.427-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.427	$0.0$	✓	✓	$0.111$	$0$	$2.19702$	Modular form 740.1.bw.a.427.1
2-740-740.43-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.43	$0.0$	✓	✓	$-0.0237$	$0$	$1.77624$	Modular form 740.1.p.a.43.1
2-740-740.463-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.463	$0.0$	✓	✓	$0.479$	$0$	$0.264253$	Modular form 740.1.bw.a.463.1
2-740-740.467-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.467	$0.0$	✓	✓	$0.333$	$0$	$2.53150$	Modular form 740.1.bj.a.467.1
2-740-740.483-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.483	$0.0$	✓	✓	$-0.0808$	$0$	$1.59892$	Modular form 740.1.cb.a.483.1
2-740-740.487-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.487	$0.0$	✓	✓	$-0.199$	$0$	$0.721197$	Modular form 740.1.s.a.487.1
2-740-740.503-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.503	$0.0$	✓	✓	$0.238$	$0$	$1.95533$	Modular form 740.1.bw.a.503.1
2-740-740.523-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.523	$0.0$	✓	✓	$0.0945$	$0$	$1.15515$	Modular form 740.1.bw.a.523.1
2-740-740.539-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.539	$0.0$	✓	✓	$-0.167$	$0$	$0.880419$	Modular form 740.1.bu.a.539.1
2-740-740.539-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.539	$0.0$	✓	✓	$-0.0568$	$0$	$1.97997$	Modular form 740.1.bu.b.539.1
2-740-740.547-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.547	$0.0$	✓	✓	$-0.176$	$0$	$1.15443$	Modular form 740.1.bm.a.547.1
2-740-740.559-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.559	$0.0$	✓	✓	$-0.264$	$0$	$1.28087$	Modular form 740.1.bu.b.559.1
2-740-740.559-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.559	$0.0$	✓	✓	$0.179$	$0$	$1.66870$	Modular form 740.1.bu.a.559.1
2-740-740.563-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.563	$0.0$	✓	✓	$0.223$	$0$	$2.55604$	Modular form 740.1.bm.a.563.1
2-740-740.587-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.587	$0.0$	✓	✓	$-0.238$	$0$	$1.36393$	Modular form 740.1.bw.a.587.1
2-740-740.607-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.607	$0.0$	✓	✓	$-0.0945$	$0$	$1.34764$	Modular form 740.1.bw.a.607.1
2-740-740.619-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.619	$0.0$	✓	✓	$-0.286$	$0$	$0.966961$	Modular form 740.1.v.a.619.1
2-740-740.619-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.619	$0.0$	✓	✓	$0.380$	$0$	$2.38655$	Modular form 740.1.v.b.619.1
2-740-740.623-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.623	$0.0$	✓	✓	$0.199$	$0$	$1.63905$	Modular form 740.1.s.a.623.1
2-740-740.627-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.627	$0.0$	✓	✓	$-0.184$	$0$	$1.16952$	Modular form 740.1.cb.a.627.1
2-740-740.643-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.643	$0.0$	✓	✓	$0.286$	$0$	$2.28030$	Modular form 740.1.bj.a.643.1
2-740-740.647-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.647	$0.0$	✓	✓	$0.230$	$0$	$2.30757$	Modular form 740.1.bw.a.647.1
2-740-740.659-c0-0-0	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.659	$0.0$	✓	✓	$0.167$	$0$	$1.88751$	Modular form 740.1.bu.a.659.1
2-740-740.659-c0-0-1	$0.607$	$0.369$	$2$	$2^{2} \cdot 5 \cdot 37$	740.659	$0.0$	✓	✓	$0.0568$	$0$	$2.01970$	Modular form 740.1.bu.b.659.1

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 62 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.