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 132 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-3840-120.29-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	120.29	$0.0$	✓	✓			$0.5$	$0$	$0.00815001$	Modular form 3840.1.i.a.1409.1
2-3840-120.29-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	120.29	$0.0$	✓	✓			$-0.250$	$0$	$0.839169$	Modular form 3840.1.i.b.1409.2
2-3840-120.29-c0-0-2	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	120.29	$0.0$	✓	✓			$0$	$0$	$0.907516$	Modular form 3840.1.i.a.1409.3
2-3840-120.29-c0-0-3	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	120.29	$0.0$	✓	✓			$-0.250$	$0$	$1.02085$	Modular form 3840.1.i.b.1409.4
2-3840-120.29-c0-0-4	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	120.29	$0.0$	✓	✓			$0$	$0$	$1.12418$	Modular form 3840.1.i.a.1409.4
2-3840-120.29-c0-0-5	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	120.29	$0.0$	✓	✓			$0.250$	$0$	$1.38021$	Modular form 3840.1.i.b.1409.1
2-3840-120.29-c0-0-6	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	120.29	$0.0$	✓	✓			$0.5$	$0$	$1.68649$	Modular form 3840.1.i.a.1409.2
2-3840-120.29-c0-0-7	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	120.29	$0.0$	✓	✓			$0.250$	$0$	$1.92457$	Modular form 3840.1.i.b.1409.3
2-3840-15.14-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓			$0.5$	$0$	$0.418104$	Artin representation 2.3840.8t11.a.b Modular form 3840.1.c.f.3329.2
2-3840-15.14-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓			$-0.250$	$0$	$0.484386$	Artin representation 2.3840.8t11.b.b Modular form 3840.1.c.e.3329.1
2-3840-15.14-c0-0-10	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓			$0.5$	$0$	$1.89936$	Artin representation 2.3840.8t11.a.a Modular form 3840.1.c.f.3329.1
2-3840-15.14-c0-0-11	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓			$0.250$	$0$	$1.95783$	Artin representation 2.3840.8t11.c.b Modular form 3840.1.c.h.3329.1
2-3840-15.14-c0-0-2	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓	✓	✓	$0$	$0$	$0.732704$	Artin representation 2.3840.4t3.k Artin representation 2.3840.4t3.k.a Modular form 3840.1.c.a Modular form 3840.1.c.a.3329.1
2-3840-15.14-c0-0-3	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓			$0$	$0$	$0.861930$	Artin representation 2.3840.8t11.d.a Modular form 3840.1.c.g.3329.1
2-3840-15.14-c0-0-4	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓			$-0.250$	$0$	$0.968726$	Artin representation 2.3840.8t11.c.a Modular form 3840.1.c.h.3329.2
2-3840-15.14-c0-0-5	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.02468$	Artin representation 2.3840.4t3.f Artin representation 2.3840.4t3.f.a Modular form 3840.1.c.b Modular form 3840.1.c.b.3329.1
2-3840-15.14-c0-0-6	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.10201$	Artin representation 2.3840.4t3.j Artin representation 2.3840.4t3.j.a Modular form 3840.1.c.c Modular form 3840.1.c.c.3329.1
2-3840-15.14-c0-0-7	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓			$0$	$0$	$1.12127$	Artin representation 2.3840.8t11.d.b Modular form 3840.1.c.g.3329.2
2-3840-15.14-c0-0-8	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓			$0.250$	$0$	$1.33672$	Artin representation 2.3840.8t11.b.a Modular form 3840.1.c.e.3329.2
2-3840-15.14-c0-0-9	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	15.14	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.44660$	Artin representation 2.3840.4t3.g Artin representation 2.3840.4t3.g.a Modular form 3840.1.c.d Modular form 3840.1.c.d.3329.1
2-3840-3840.1109-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1109	$0.0$	✓	✓			$0.0585$	$0$	$0.929294$	Modular form 3840.1.dy.a.1109.1
2-3840-3840.1109-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1109	$0.0$	✓	✓			$0.0585$	$0$	$1.55600$	Modular form 3840.1.dy.a.1109.2
2-3840-3840.1229-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1229	$0.0$	✓	✓			$-0.0273$	$0$	$0.857310$	Modular form 3840.1.dy.a.1229.1
2-3840-3840.1229-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1229	$0.0$	✓	✓			$-0.0273$	$0$	$1.27641$	Modular form 3840.1.dy.a.1229.2
2-3840-3840.1349-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1349	$0.0$	✓	✓			$0.0273$	$0$	$0.847135$	Modular form 3840.1.dy.a.1349.1
2-3840-3840.1349-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1349	$0.0$	✓	✓			$0.0273$	$0$	$1.76407$	Modular form 3840.1.dy.a.1349.2
2-3840-3840.1469-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1469	$0.0$	✓	✓			$0.191$	$0$	$1.38871$	Modular form 3840.1.dy.a.1469.2
2-3840-3840.1469-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1469	$0.0$	✓	✓			$0.191$	$0$	$1.47583$	Modular form 3840.1.dy.a.1469.1
2-3840-3840.149-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.149	$0.0$	✓	✓			$-0.191$	$0$	$0.503981$	Modular form 3840.1.dy.a.149.1
2-3840-3840.149-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.149	$0.0$	✓	✓			$-0.191$	$0$	$1.11080$	Modular form 3840.1.dy.a.149.2
2-3840-3840.1589-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1589	$0.0$	✓	✓			$0.0585$	$0$	$1.11375$	Modular form 3840.1.dy.a.1589.1
2-3840-3840.1589-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1589	$0.0$	✓	✓			$0.0585$	$0$	$1.40265$	Modular form 3840.1.dy.a.1589.2
2-3840-3840.1709-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1709	$0.0$	✓	✓			$0.0976$	$0$	$1.03271$	Modular form 3840.1.dy.a.1709.2
2-3840-3840.1709-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1709	$0.0$	✓	✓			$0.0976$	$0$	$1.07656$	Modular form 3840.1.dy.a.1709.1
2-3840-3840.1829-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1829	$0.0$	✓	✓			$-0.0976$	$0$	$0.378995$	Modular form 3840.1.dy.a.1829.1
2-3840-3840.1829-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1829	$0.0$	✓	✓			$-0.0976$	$0$	$1.18269$	Modular form 3840.1.dy.a.1829.2
2-3840-3840.1949-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1949	$0.0$	✓	✓			$0.441$	$0$	$0.560437$	Modular form 3840.1.dy.a.1949.2
2-3840-3840.1949-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.1949	$0.0$	✓	✓			$0.441$	$0$	$1.62714$	Modular form 3840.1.dy.a.1949.1
2-3840-3840.2069-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2069	$0.0$	✓	✓			$0.308$	$0$	$1.27408$	Modular form 3840.1.dy.a.2069.2
2-3840-3840.2069-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2069	$0.0$	✓	✓			$0.308$	$0$	$1.78363$	Modular form 3840.1.dy.a.2069.1
2-3840-3840.2189-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2189	$0.0$	✓	✓			$-0.0273$	$0$	$0.560976$	Modular form 3840.1.dy.a.2189.1
2-3840-3840.2189-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2189	$0.0$	✓	✓			$-0.0273$	$0$	$1.66139$	Modular form 3840.1.dy.a.2189.2
2-3840-3840.2309-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2309	$0.0$	✓	✓			$0.0273$	$0$	$0.715552$	Modular form 3840.1.dy.a.2309.1
2-3840-3840.2309-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2309	$0.0$	✓	✓			$0.0273$	$0$	$1.45410$	Modular form 3840.1.dy.a.2309.2
2-3840-3840.2429-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2429	$0.0$	✓	✓			$0.441$	$0$	$0.380428$	Modular form 3840.1.dy.a.2429.1
2-3840-3840.2429-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2429	$0.0$	✓	✓			$0.441$	$0$	$1.67328$	Modular form 3840.1.dy.a.2429.2
2-3840-3840.2549-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2549	$0.0$	✓	✓			$-0.191$	$0$	$0.401188$	Modular form 3840.1.dy.a.2549.1
2-3840-3840.2549-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2549	$0.0$	✓	✓			$-0.191$	$0$	$1.05668$	Modular form 3840.1.dy.a.2549.2
2-3840-3840.2669-c0-0-0	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2669	$0.0$	✓	✓			$-0.402$	$0$	$0.850400$	Modular form 3840.1.dy.a.2669.2
2-3840-3840.2669-c0-0-1	$1.38$	$1.91$	$2$	$2^{8} \cdot 3 \cdot 5$	3840.2669	$0.0$	✓	✓			$-0.402$	$0$	$1.57925$	Modular form 3840.1.dy.a.2669.1

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 132 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.