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 82 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-60e2-100.11-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.11	$0.0$	✓	✓	$-0.0200$	$0$	$0.904145$	Modular form 3600.1.cj.a.1711.1
2-60e2-100.11-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.11	$0.0$	✓	✓	$-0.0200$	$0$	$1.11163$	Modular form 3600.1.cj.a.1711.2
2-60e2-100.19-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.19	$0.0$	✓	✓	$-0.359$	$0$	$0.167979$	Modular form 3600.1.ct.a.2719.1
2-60e2-100.31-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.31	$0.0$	✓	✓	$0.140$	$0$	$1.27740$	Modular form 3600.1.cj.a.2431.1
2-60e2-100.31-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.31	$0.0$	✓	✓	$0.140$	$0$	$1.41737$	Modular form 3600.1.cj.a.2431.2
2-60e2-100.39-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.39	$0.0$	✓	✓	$-0.0200$	$0$	$1.22769$	Modular form 3600.1.ct.a.3439.1
2-60e2-100.59-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.59	$0.0$	✓	✓	$0.0200$	$0$	$1.07918$	Modular form 3600.1.ct.a.559.1
2-60e2-100.71-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.71	$0.0$	✓	✓	$-0.140$	$0$	$0.616243$	Modular form 3600.1.cj.a.271.1
2-60e2-100.71-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.71	$0.0$	✓	✓	$-0.140$	$0$	$0.977557$	Modular form 3600.1.cj.a.271.2
2-60e2-100.79-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.79	$0.0$	✓	✓	$0.359$	$0$	$1.48455$	Modular form 3600.1.ct.a.1279.1
2-60e2-100.91-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.91	$0.0$	✓	✓	$0.0200$	$0$	$0.912976$	Modular form 3600.1.cj.a.991.1
2-60e2-100.91-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	100.91	$0.0$	✓	✓	$0.0200$	$0$	$1.30301$	Modular form 3600.1.cj.a.991.2
2-60e2-15.14-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	15.14	$0.0$	✓	✓	$-0.225$	$0$	$0.671457$	Modular form 3600.1.c.a.449.4
2-60e2-15.14-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	15.14	$0.0$	✓	✓	$-0.0782$	$0$	$0.870213$	Modular form 3600.1.c.a.449.2
2-60e2-15.14-c0-0-2	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	15.14	$0.0$	✓	✓	$0.0782$	$0$	$1.26325$	Modular form 3600.1.c.a.449.3
2-60e2-15.14-c0-0-3	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	15.14	$0.0$	✓	✓	$0.225$	$0$	$1.49205$	Modular form 3600.1.c.a.449.1
2-60e2-16.11-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	16.11	$0.0$	✓	✓	$0.312$	$0$	$1.56873$	Modular form 3600.1.bo.a.2251.2
2-60e2-16.11-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	16.11	$0.0$	✓	✓	$0.312$	$0$	$1.61437$	Modular form 3600.1.bo.a.2251.1
2-60e2-16.3-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	16.3	$0.0$	✓	✓	$-0.312$	$0$	$0.166715$	Modular form 3600.1.bo.a.451.1
2-60e2-16.3-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	16.3	$0.0$	✓	✓	$-0.312$	$0$	$0.864490$	Modular form 3600.1.bo.a.451.2
2-60e2-180.167-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	180.167	$0.0$	✓	✓	$0.0603$	$0$	$0.913802$	Modular form 3600.1.da.a.3407.1
2-60e2-180.167-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	180.167	$0.0$	✓	✓	$0.0603$	$0$	$1.50489$	Modular form 3600.1.da.a.3407.2
2-60e2-180.23-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	180.23	$0.0$	✓	✓	$-0.115$	$0$	$0.555431$	Modular form 3600.1.da.a.2543.1
2-60e2-180.23-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	180.23	$0.0$	✓	✓	$-0.115$	$0$	$1.03367$	Modular form 3600.1.da.a.2543.2
2-60e2-180.47-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	180.47	$0.0$	✓	✓	$0.115$	$0$	$1.13812$	Modular form 3600.1.da.a.2207.2
2-60e2-180.47-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	180.47	$0.0$	✓	✓	$0.115$	$0$	$1.29257$	Modular form 3600.1.da.a.2207.1
2-60e2-180.83-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	180.83	$0.0$	✓	✓	$-0.0603$	$0$	$0.662194$	Modular form 3600.1.da.a.1343.1
2-60e2-180.83-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	180.83	$0.0$	✓	✓	$-0.0603$	$0$	$1.26407$	Modular form 3600.1.da.a.1343.2
2-60e2-20.19-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	20.19	$0.0$	✓	✓	$-0.240$	$0$	$0.437725$	Modular form 3600.1.j.b.1999.1
2-60e2-20.19-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	20.19	$0.0$	✓	✓	$-0.176$	$0$	$0.704592$	Artin representation 2.3600.8t11.c.b Modular form 3600.1.j.a.1999.2
2-60e2-20.19-c0-0-2	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	20.19	$0.0$	✓	✓	$-0.0928$	$0$	$1.00332$	Modular form 3600.1.j.b.1999.4
2-60e2-20.19-c0-0-3	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	20.19	$0.0$	✓	✓	$0.240$	$0$	$1.27362$	Modular form 3600.1.j.b.1999.2
2-60e2-20.19-c0-0-4	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	20.19	$0.0$	✓	✓	$0.176$	$0$	$1.41611$	Artin representation 2.3600.8t11.c.a Modular form 3600.1.j.a.1999.1
2-60e2-20.19-c0-0-5	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	20.19	$0.0$	✓	✓	$0.0928$	$0$	$1.52453$	Modular form 3600.1.j.b.1999.3
2-60e2-3.2-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3.2	$0.0$	✓	✓	$-0.347$	$0$	$0.240815$	Artin representation 2.3600.24t22.c.a Modular form 3600.1.l.a.1601.1
2-60e2-3.2-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3.2	$0.0$	✓	✓	$-0.152$	$0$	$0.854814$	Artin representation 2.3600.24t22.a.b Modular form 3600.1.l.b.1601.2
2-60e2-3.2-c0-0-2	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3.2	$0.0$	✓	✓	$0.347$	$0$	$1.49527$	Artin representation 2.3600.24t22.c.b Modular form 3600.1.l.a.1601.2
2-60e2-3.2-c0-0-3	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3.2	$0.0$	✓	✓	$0.152$	$0$	$1.61245$	Artin representation 2.3600.24t22.a.a Modular form 3600.1.l.b.1601.1
2-60e2-300.167-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.167	$0.0$	✓	✓	$-0.262$	$0$	$0.699004$	Modular form 3600.1.dx.a.3167.2
2-60e2-300.167-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.167	$0.0$	✓	✓	$0.0420$	$0$	$1.04346$	Modular form 3600.1.dx.a.3167.1
2-60e2-300.203-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.203	$0.0$	✓	✓	$-0.0420$	$0$	$1.07578$	Modular form 3600.1.dx.a.2303.1
2-60e2-300.203-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.203	$0.0$	✓	✓	$0.262$	$0$	$1.64145$	Modular form 3600.1.dx.a.2303.2
2-60e2-300.227-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.227	$0.0$	✓	✓	$-0.367$	$0$	$0.393731$	Modular form 3600.1.dx.a.1727.1
2-60e2-300.227-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.227	$0.0$	✓	✓	$0.327$	$0$	$1.71343$	Modular form 3600.1.dx.a.1727.2
2-60e2-300.23-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.23	$0.0$	✓	✓	$-0.172$	$0$	$0.840549$	Modular form 3600.1.dx.a.3023.2
2-60e2-300.23-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.23	$0.0$	✓	✓	$0.132$	$0$	$1.12747$	Modular form 3600.1.dx.a.3023.1
2-60e2-300.263-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.263	$0.0$	✓	✓	$-0.327$	$0$	$0.472292$	Modular form 3600.1.dx.a.863.2
2-60e2-300.263-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.263	$0.0$	✓	✓	$0.367$	$0$	$1.64030$	Modular form 3600.1.dx.a.863.1
2-60e2-300.287-c0-0-0	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.287	$0.0$	✓	✓	$-0.132$	$0$	$0.732931$	Modular form 3600.1.dx.a.287.1
2-60e2-300.287-c0-0-1	$1.34$	$1.79$	$2$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	300.287	$0.0$	✓	✓	$0.172$	$0$	$1.58374$	Modular form 3600.1.dx.a.287.2

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 82 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.