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 324 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-110-1.1-c3-0-0	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$0.799197$	Modular form 110.4.a.a Modular form 110.4.a.a.1.1
2-110-1.1-c3-0-1	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$0.992288$	Modular form 110.4.a.i.1.1
2-110-1.1-c3-0-2	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$1.26773$	Modular form 110.4.a.d Modular form 110.4.a.d.1.1
2-110-1.1-c3-0-3	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$1.50604$	Modular form 110.4.a.c Modular form 110.4.a.c.1.1
2-110-1.1-c3-0-4	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓		✓	$0$	$0$	$1.75565$	Modular form 110.4.a.i.1.2
2-110-1.1-c3-0-5	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$1.82270$	Modular form 110.4.a.f Modular form 110.4.a.f.1.1
2-110-1.1-c3-0-6	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$2.08132$	Modular form 110.4.a.g Modular form 110.4.a.g.1.1
2-110-1.1-c3-0-7	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0$	$0$	$2.25984$	Modular form 110.4.a.h Modular form 110.4.a.h.1.1
2-110-1.1-c3-0-8	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0.5$	$1$	$2.57534$	Modular form 110.4.a.b Modular form 110.4.a.b.1.1
2-110-1.1-c3-0-9	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	1.1	$3.0$	$3$	✓	✓	✓	✓	$0.5$	$1$	$2.87425$	Modular form 110.4.a.e Modular form 110.4.a.e.1.1
2-110-11.3-c3-0-0	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.460$	$0$	$0.539456$	Modular form 110.4.g.d.91.4
2-110-11.3-c3-0-1	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.427$	$0$	$0.778200$	Modular form 110.4.g.b.91.3
2-110-11.3-c3-0-10	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.434$	$0$	$2.93483$	Modular form 110.4.g.c.91.1
2-110-11.3-c3-0-11	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.498$	$0$	$3.27765$	Modular form 110.4.g.a.91.1
2-110-11.3-c3-0-2	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.0409$	$0$	$1.10419$	Modular form 110.4.g.d.91.2
2-110-11.3-c3-0-3	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.205$	$0$	$1.20404$	Modular form 110.4.g.c.91.3
2-110-11.3-c3-0-4	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.106$	$0$	$1.26129$	Modular form 110.4.g.b.91.2
2-110-11.3-c3-0-5	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.0171$	$0$	$1.64881$	Modular form 110.4.g.d.91.3
2-110-11.3-c3-0-6	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.117$	$0$	$1.89169$	Modular form 110.4.g.c.91.2
2-110-11.3-c3-0-7	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.281$	$0$	$1.93452$	Modular form 110.4.g.b.91.1
2-110-11.3-c3-0-8	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$0.251$	$0$	$2.28477$	Modular form 110.4.g.a.91.2
2-110-11.3-c3-0-9	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.3	$3.0$	$3$	✓	✓			$-0.475$	$0$	$2.61012$	Modular form 110.4.g.d.91.1
2-110-11.4-c3-0-0	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$0.475$	$0$	$0.0941228$	Modular form 110.4.g.d.81.1
2-110-11.4-c3-0-1	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$-0.281$	$0$	$0.579868$	Modular form 110.4.g.b.81.1
2-110-11.4-c3-0-10	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$0.205$	$0$	$2.70769$	Modular form 110.4.g.c.81.3
2-110-11.4-c3-0-11	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$-0.460$	$0$	$2.83698$	Modular form 110.4.g.d.81.4
2-110-11.4-c3-0-2	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$0.498$	$0$	$0.694715$	Modular form 110.4.g.a.81.1
2-110-11.4-c3-0-3	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$-0.434$	$0$	$0.918059$	Modular form 110.4.g.c.81.1
2-110-11.4-c3-0-4	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$-0.0171$	$0$	$0.964607$	Modular form 110.4.g.d.81.3
2-110-11.4-c3-0-5	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$-0.251$	$0$	$1.03061$	Modular form 110.4.g.a.81.2
2-110-11.4-c3-0-6	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$0.0409$	$0$	$1.15582$	Modular form 110.4.g.d.81.2
2-110-11.4-c3-0-7	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$0.106$	$0$	$1.37881$	Modular form 110.4.g.b.81.2
2-110-11.4-c3-0-8	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$-0.117$	$0$	$1.46364$	Modular form 110.4.g.c.81.2
2-110-11.4-c3-0-9	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.4	$3.0$	$3$	✓	✓			$0.427$	$0$	$2.42718$	Modular form 110.4.g.b.81.3
2-110-11.5-c3-0-0	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$-0.247$	$0$	$0.164134$	Modular form 110.4.g.a.71.1
2-110-11.5-c3-0-1	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$-0.0573$	$0$	$0.483391$	Modular form 110.4.g.c.71.1
2-110-11.5-c3-0-10	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$0.384$	$0$	$2.07568$	Modular form 110.4.g.c.71.2
2-110-11.5-c3-0-11	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$0.339$	$0$	$2.37179$	Modular form 110.4.g.d.71.2
2-110-11.5-c3-0-2	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$-0.233$	$0$	$0.510462$	Modular form 110.4.g.d.71.1
2-110-11.5-c3-0-3	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$-0.435$	$0$	$0.722667$	Modular form 110.4.g.b.71.2
2-110-11.5-c3-0-4	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$-0.0657$	$0$	$1.23185$	Modular form 110.4.g.c.71.3
2-110-11.5-c3-0-5	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$-0.333$	$0$	$1.28661$	Modular form 110.4.g.d.71.4
2-110-11.5-c3-0-6	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$-0.293$	$0$	$1.59657$	Modular form 110.4.g.b.71.3
2-110-11.5-c3-0-7	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$-0.0183$	$0$	$1.67767$	Modular form 110.4.g.d.71.3
2-110-11.5-c3-0-8	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$0.189$	$0$	$1.83811$	Modular form 110.4.g.b.71.1
2-110-11.5-c3-0-9	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.5	$3.0$	$3$	✓	✓			$0.286$	$0$	$1.96753$	Modular form 110.4.g.a.71.2
2-110-11.9-c3-0-0	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.9	$3.0$	$3$	✓	✓			$-0.339$	$0$	$0.180828$	Modular form 110.4.g.d.31.2
2-110-11.9-c3-0-1	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.9	$3.0$	$3$	✓	✓			$-0.189$	$0$	$0.549497$	Modular form 110.4.g.b.31.1
2-110-11.9-c3-0-10	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.9	$3.0$	$3$	✓	✓			$0.333$	$0$	$2.83483$	Modular form 110.4.g.d.31.4
2-110-11.9-c3-0-11	$2.54$	$6.49$	$2$	$2 \cdot 5 \cdot 11$	11.9	$3.0$	$3$	✓	✓			$0.435$	$0$	$2.88739$	Modular form 110.4.g.b.31.2

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 $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 324 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.