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 696 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-3456-216.101-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.101	$0.0$	✓	✓		$0.0925$	$0$	$1.03334$	Modular form 3456.1.bn.b.2369.1
2-3456-216.101-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.101	$0.0$	✓	✓		$0.0925$	$0$	$1.40528$	Modular form 3456.1.bn.a.2369.1
2-3456-216.115-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.115	$0.0$	✓	✓		$-0.407$	$0$	$0.176207$	Modular form 3456.1.bh.a.1087.1
2-3456-216.115-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.115	$0.0$	✓	✓		$0.0925$	$0$	$1.70749$	Modular form 3456.1.bh.a.1087.2
2-3456-216.139-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.139	$0.0$	✓	✓		$-0.0925$	$0$	$1.00656$	Modular form 3456.1.bh.a.2623.2
2-3456-216.139-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.139	$0.0$	✓	✓		$0.407$	$0$	$1.59826$	Modular form 3456.1.bh.a.2623.1
2-3456-216.149-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.149	$0.0$	✓	✓		$0.240$	$0$	$1.29360$	Modular form 3456.1.bn.a.1985.1
2-3456-216.149-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.149	$0.0$	✓	✓		$0.240$	$0$	$1.79210$	Modular form 3456.1.bn.b.1985.1
2-3456-216.173-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.173	$0.0$	✓	✓		$0.0925$	$0$	$1.15996$	Modular form 3456.1.bn.b.65.1
2-3456-216.173-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.173	$0.0$	✓	✓		$0.0925$	$0$	$1.41552$	Modular form 3456.1.bn.a.65.1
2-3456-216.187-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.187	$0.0$	✓	✓		$-0.240$	$0$	$0.686499$	Modular form 3456.1.bh.a.2239.1
2-3456-216.187-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.187	$0.0$	✓	✓		$0.259$	$0$	$1.62421$	Modular form 3456.1.bh.a.2239.2
2-3456-216.211-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.211	$0.0$	✓	✓		$-0.0925$	$0$	$1.15121$	Modular form 3456.1.bh.a.319.1
2-3456-216.211-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.211	$0.0$	✓	✓		$0.407$	$0$	$1.80671$	Modular form 3456.1.bh.a.319.2
2-3456-216.29-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.29	$0.0$	✓	✓		$-0.240$	$0$	$0.272366$	Modular form 3456.1.bn.a.1217.1
2-3456-216.29-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.29	$0.0$	✓	✓		$-0.240$	$0$	$0.880025$	Modular form 3456.1.bn.b.1217.1
2-3456-216.43-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.43	$0.0$	✓	✓		$-0.407$	$0$	$0.495258$	Modular form 3456.1.bh.a.3391.2
2-3456-216.43-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.43	$0.0$	✓	✓		$0.0925$	$0$	$1.01861$	Modular form 3456.1.bh.a.3391.1
2-3456-216.5-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.5	$0.0$	✓	✓		$-0.0925$	$0$	$0.697135$	Modular form 3456.1.bn.b.3137.1
2-3456-216.5-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.5	$0.0$	✓	✓		$-0.0925$	$0$	$1.13726$	Modular form 3456.1.bn.a.3137.1
2-3456-216.67-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.67	$0.0$	✓	✓		$-0.259$	$0$	$0.806252$	Modular form 3456.1.bh.a.1471.2
2-3456-216.67-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.67	$0.0$	✓	✓		$0.240$	$0$	$1.23712$	Modular form 3456.1.bh.a.1471.1
2-3456-216.77-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.77	$0.0$	✓	✓		$-0.0925$	$0$	$0.611916$	Modular form 3456.1.bn.a.833.1
2-3456-216.77-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	216.77	$0.0$	✓	✓		$-0.0925$	$0$	$1.10434$	Modular form 3456.1.bn.b.833.1
2-3456-24.5-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	24.5	$0.0$	✓	✓	✓	$0$	$0$	$0.573609$	Modular form 3456.1.h.a.2753.1
2-3456-24.5-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	24.5	$0.0$	✓	✓	✓	$0$	$0$	$1.01508$	Modular form 3456.1.h.b.2753.1
2-3456-24.5-c0-0-2	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	24.5	$0.0$	✓	✓	✓	$0$	$0$	$1.16886$	Modular form 3456.1.h.b.2753.2
2-3456-24.5-c0-0-3	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	24.5	$0.0$	✓	✓	✓	$0$	$0$	$1.51790$	Modular form 3456.1.h.a.2753.2
2-3456-3.2-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	3.2	$0.0$	✓	✓		$-0.250$	$0$	$0.330697$	Artin representation 2.3456.24t22.a.a Modular form 3456.1.e.a.1025.1
2-3456-3.2-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	3.2	$0.0$	✓	✓		$-0.250$	$0$	$0.671461$	Artin representation 2.3456.24t22.c.a Modular form 3456.1.e.b.1025.2
2-3456-3.2-c0-0-2	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	3.2	$0.0$	✓	✓		$-0.250$	$0$	$0.820625$	Artin representation 2.3456.24t22.e.a Modular form 3456.1.e.c.1025.2
2-3456-3.2-c0-0-3	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	3.2	$0.0$	✓	✓		$-0.250$	$0$	$0.881251$	Artin representation 2.3456.24t22.b.b Modular form 3456.1.e.d.1025.2
2-3456-3.2-c0-0-4	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	3.2	$0.0$	✓	✓		$0.250$	$0$	$1.40511$	Artin representation 2.3456.24t22.c.b Modular form 3456.1.e.b.1025.1
2-3456-3.2-c0-0-5	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	3.2	$0.0$	✓	✓		$0.250$	$0$	$1.44508$	Artin representation 2.3456.24t22.a.b Modular form 3456.1.e.a.1025.2
2-3456-3.2-c0-0-6	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	3.2	$0.0$	✓	✓		$0.250$	$0$	$1.63741$	Artin representation 2.3456.24t22.e.b Modular form 3456.1.e.c.1025.1
2-3456-3.2-c0-0-7	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	3.2	$0.0$	✓	✓		$0.250$	$0$	$1.76897$	Artin representation 2.3456.24t22.b.a Modular form 3456.1.e.d.1025.1
2-3456-48.29-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	48.29	$0.0$	✓	✓		$-0.187$	$0$	$0.580220$	Modular form 3456.1.j.a.161.1
2-3456-48.29-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	48.29	$0.0$	✓	✓		$-0.187$	$0$	$1.01253$	Modular form 3456.1.j.a.161.2
2-3456-48.29-c0-0-2	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	48.29	$0.0$	✓	✓		$0.0625$	$0$	$1.03234$	Modular form 3456.1.j.b.161.1
2-3456-48.29-c0-0-3	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	48.29	$0.0$	✓	✓		$0.0625$	$0$	$1.32817$	Modular form 3456.1.j.b.161.2
2-3456-48.5-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	48.5	$0.0$	✓	✓		$-0.0625$	$0$	$0.981025$	Modular form 3456.1.j.b.1889.2
2-3456-48.5-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	48.5	$0.0$	✓	✓		$-0.0625$	$0$	$1.01852$	Modular form 3456.1.j.b.1889.1
2-3456-48.5-c0-0-2	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	48.5	$0.0$	✓	✓		$0.187$	$0$	$1.31873$	Modular form 3456.1.j.a.1889.1
2-3456-48.5-c0-0-3	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	48.5	$0.0$	✓	✓		$0.187$	$0$	$1.63504$	Modular form 3456.1.j.a.1889.2
2-3456-72.29-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	72.29	$0.0$	✓	✓		$0.111$	$0$	$1.25709$	Modular form 3456.1.n.a.1601.1
2-3456-72.29-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	72.29	$0.0$	✓	✓		$0.111$	$0$	$1.30407$	Modular form 3456.1.n.b.1601.1
2-3456-72.43-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	72.43	$0.0$	✓	✓		$-0.388$	$0$	$0.268312$	Modular form 3456.1.t.a.1855.1
2-3456-72.43-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	72.43	$0.0$	✓	✓		$0.111$	$0$	$1.32186$	Modular form 3456.1.t.a.1855.2
2-3456-72.5-c0-0-0	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	72.5	$0.0$	✓	✓		$-0.111$	$0$	$0.785793$	Modular form 3456.1.n.a.449.1
2-3456-72.5-c0-0-1	$1.31$	$1.72$	$2$	$2^{7} \cdot 3^{3}$	72.5	$0.0$	✓	✓		$-0.111$	$0$	$0.854048$	Modular form 3456.1.n.b.449.1

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 696 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.