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 564 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1449-161.104-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.104	$0.0$	✓	✓	$-0.243$	$0$	$1.03463$	Modular form 1449.1.bq.b.748.1
2-1449-161.104-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.104	$0.0$	✓	✓	$0.00644$	$0$	$1.21806$	Modular form 1449.1.bq.a.748.1
2-1449-161.104-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.104	$0.0$	✓	✓	$0.256$	$0$	$2.21609$	Modular form 1449.1.bq.b.748.2
2-1449-161.118-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.118	$0.0$	✓	✓	$-0.244$	$0$	$0.995654$	Modular form 1449.1.bq.b.118.2
2-1449-161.118-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.118	$0.0$	✓	✓	$-0.494$	$0$	$1.62469$	Modular form 1449.1.bq.a.118.1
2-1449-161.118-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.118	$0.0$	✓	✓	$0.255$	$0$	$1.78863$	Modular form 1449.1.bq.b.118.1
2-1449-161.13-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.13	$0.0$	✓	✓	$0.0890$	$0$	$0.829227$	Modular form 1449.1.bq.b.496.1
2-1449-161.13-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.13	$0.0$	✓	✓	$-0.410$	$0$	$1.44081$	Modular form 1449.1.bq.b.496.2
2-1449-161.13-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.13	$0.0$	✓	✓	$0.339$	$0$	$1.91965$	Modular form 1449.1.bq.a.496.1
2-1449-161.146-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.146	$0.0$	✓	✓	$0.494$	$0$	$0.836929$	Modular form 1449.1.bq.a.307.1
2-1449-161.146-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.146	$0.0$	✓	✓	$-0.255$	$0$	$0.957991$	Modular form 1449.1.bq.b.307.1
2-1449-161.146-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.146	$0.0$	✓	✓	$0.244$	$0$	$1.92658$	Modular form 1449.1.bq.b.307.2
2-1449-161.27-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.27	$0.0$	✓	✓	$0.117$	$0$	$0.854358$	Modular form 1449.1.bq.b.1315.1
2-1449-161.27-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.27	$0.0$	✓	✓	$-0.382$	$0$	$1.14186$	Modular form 1449.1.bq.b.1315.2
2-1449-161.27-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.27	$0.0$	✓	✓	$-0.132$	$0$	$1.73119$	Modular form 1449.1.bq.a.1315.1
2-1449-161.41-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.41	$0.0$	✓	✓	$-0.162$	$0$	$1.56222$	Modular form 1449.1.bq.a.685.1
2-1449-161.41-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.41	$0.0$	✓	✓	$0.0872$	$0$	$1.86987$	Modular form 1449.1.bq.b.685.2
2-1449-161.41-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.41	$0.0$	✓	✓	$-0.412$	$0$	$1.96865$	Modular form 1449.1.bq.b.685.1
2-1449-161.48-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.48	$0.0$	✓	✓	$-0.00644$	$0$	$0.788688$	Modular form 1449.1.bq.a.370.1
2-1449-161.48-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.48	$0.0$	✓	✓	$0.243$	$0$	$1.34024$	Modular form 1449.1.bq.b.370.1
2-1449-161.48-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.48	$0.0$	✓	✓	$-0.256$	$0$	$1.53463$	Modular form 1449.1.bq.b.370.2
2-1449-161.55-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.55	$0.0$	✓	✓	$0.412$	$0$	$0.0331344$	Modular form 1449.1.bq.b.55.1
2-1449-161.55-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.55	$0.0$	✓	✓	$-0.0872$	$0$	$1.11367$	Modular form 1449.1.bq.b.55.2
2-1449-161.55-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.55	$0.0$	✓	✓	$0.162$	$0$	$2.31258$	Modular form 1449.1.bq.a.55.1
2-1449-161.6-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.6	$0.0$	✓	✓	$0.132$	$0$	$1.29226$	Modular form 1449.1.bq.a.811.1
2-1449-161.6-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.6	$0.0$	✓	✓	$-0.117$	$0$	$1.32617$	Modular form 1449.1.bq.b.811.1
2-1449-161.6-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.6	$0.0$	✓	✓	$0.382$	$0$	$1.97798$	Modular form 1449.1.bq.b.811.2
2-1449-161.62-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.62	$0.0$	✓	✓	$-0.339$	$0$	$0.697138$	Modular form 1449.1.bq.a.1189.1
2-1449-161.62-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.62	$0.0$	✓	✓	$-0.0890$	$0$	$1.32900$	Modular form 1449.1.bq.b.1189.1
2-1449-161.62-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	161.62	$0.0$	✓	✓	$0.410$	$0$	$2.37638$	Modular form 1449.1.bq.b.1189.2
2-1449-483.125-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.125	$0.0$	✓	✓	$0.423$	$0$	$0.330419$	Modular form 1449.1.bu.a.125.1
2-1449-483.125-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.125	$0.0$	✓	✓	$-0.0223$	$0$	$1.30287$	Modular form 1449.1.bu.a.125.2
2-1449-483.125-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.125	$0.0$	✓	✓	$0.173$	$0$	$1.72983$	Modular form 1449.1.bu.a.125.3
2-1449-483.125-c0-0-3	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.125	$0.0$	✓	✓	$0.227$	$0$	$1.81205$	Modular form 1449.1.bu.a.125.4
2-1449-483.20-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.20	$0.0$	✓	✓	$-0.156$	$0$	$0.976213$	Modular form 1449.1.bu.a.503.3
2-1449-483.20-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.20	$0.0$	✓	✓	$0.0389$	$0$	$1.25814$	Modular form 1449.1.bu.a.503.2
2-1449-483.20-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.20	$0.0$	✓	✓	$0.288$	$0$	$1.58492$	Modular form 1449.1.bu.a.503.1
2-1449-483.20-c0-0-3	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.20	$0.0$	✓	✓	$0.0930$	$0$	$2.10646$	Modular form 1449.1.bu.a.503.4
2-1449-483.251-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.251	$0.0$	✓	✓	$-0.289$	$0$	$0.800347$	Modular form 1449.1.bu.a.251.1
2-1449-483.251-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.251	$0.0$	✓	✓	$-0.235$	$0$	$1.17668$	Modular form 1449.1.bu.a.251.2
2-1449-483.251-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.251	$0.0$	✓	✓	$-0.0393$	$0$	$1.21253$	Modular form 1449.1.bu.a.251.3
2-1449-483.251-c0-0-3	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.251	$0.0$	✓	✓	$-0.485$	$0$	$2.48428$	Modular form 1449.1.bu.a.251.4
2-1449-483.272-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.272	$0.0$	✓	✓	$-0.202$	$0$	$0.864747$	Modular form 1449.1.bu.a.755.3
2-1449-483.272-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.272	$0.0$	✓	✓	$0.0476$	$0$	$1.19437$	Modular form 1449.1.bu.a.755.1
2-1449-483.272-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.272	$0.0$	✓	✓	$-0.00643$	$0$	$1.36201$	Modular form 1449.1.bu.a.755.2
2-1449-483.272-c0-0-3	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.272	$0.0$	✓	✓	$0.243$	$0$	$2.48554$	Modular form 1449.1.bu.a.755.4
2-1449-483.293-c0-0-0	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.293	$0.0$	✓	✓	$-0.0476$	$0$	$0.639086$	Modular form 1449.1.bu.a.1259.1
2-1449-483.293-c0-0-1	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.293	$0.0$	✓	✓	$0.00643$	$0$	$1.11917$	Modular form 1449.1.bu.a.1259.2
2-1449-483.293-c0-0-2	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.293	$0.0$	✓	✓	$-0.243$	$0$	$1.60604$	Modular form 1449.1.bu.a.1259.4
2-1449-483.293-c0-0-3	$0.850$	$0.723$	$2$	$3^{2} \cdot 7 \cdot 23$	483.293	$0.0$	✓	✓	$0.202$	$0$	$1.72594$	Modular form 1449.1.bu.a.1259.3

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 564 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.