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 748 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-2303-2303.1033-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1033	$0.0$	✓	✓	$0.214$	$0$	$0.808852$	Modular form 2303.1.q.b.1033.2
2-2303-2303.1033-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1033	$0.0$	✓	✓	$-0.185$	$0$	$0.897199$	Modular form 2303.1.q.b.1033.1
2-2303-2303.1033-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1033	$0.0$	✓	✓	$0.414$	$0$	$1.24944$	Modular form 2303.1.q.a.1033.1
2-2303-2303.1033-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1033	$0.0$	✓	✓	$-0.385$	$0$	$1.35530$	Modular form 2303.1.q.b.1033.4
2-2303-2303.1033-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1033	$0.0$	✓	✓	$0.0149$	$0$	$1.87386$	Modular form 2303.1.q.b.1033.3
2-2303-2303.1080-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1080	$0.0$	✓	✓	$0.00272$	$0$	$0.809684$	Modular form 2303.1.q.b.1080.2
2-2303-2303.1080-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1080	$0.0$	✓	✓	$-0.197$	$0$	$0.810076$	Modular form 2303.1.q.a.1080.1
2-2303-2303.1080-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1080	$0.0$	✓	✓	$-0.397$	$0$	$1.16820$	Modular form 2303.1.q.b.1080.4
2-2303-2303.1080-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1080	$0.0$	✓	✓	$0.402$	$0$	$1.48155$	Modular form 2303.1.q.b.1080.1
2-2303-2303.1080-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1080	$0.0$	✓	✓	$0.202$	$0$	$2.19340$	Modular form 2303.1.q.b.1080.3
2-2303-2303.1268-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1268	$0.0$	✓	✓	$0.0489$	$0$	$0.964910$	Modular form 2303.1.j.b.1268.3
2-2303-2303.1268-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1268	$0.0$	✓	✓	$-0.151$	$0$	$1.00423$	Modular form 2303.1.j.b.1268.4
2-2303-2303.1268-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1268	$0.0$	✓	✓	$0.248$	$0$	$1.13274$	Modular form 2303.1.j.b.1268.1
2-2303-2303.1268-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1268	$0.0$	✓	✓	$-0.351$	$0$	$1.19452$	Modular form 2303.1.j.b.1268.2
2-2303-2303.1268-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1268	$0.0$	✓	✓	$0.448$	$0$	$2.21387$	Modular form 2303.1.j.a.1268.1
2-2303-2303.1362-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1362	$0.0$	✓	✓	$0.448$	$0$	$0.0173801$	Modular form 2303.1.q.a.1362.1
2-2303-2303.1362-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1362	$0.0$	✓	✓	$-0.351$	$0$	$0.363389$	Modular form 2303.1.q.b.1362.1
2-2303-2303.1362-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1362	$0.0$	✓	✓	$0.0489$	$0$	$1.00341$	Modular form 2303.1.q.b.1362.2
2-2303-2303.1362-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1362	$0.0$	✓	✓	$-0.151$	$0$	$1.46014$	Modular form 2303.1.q.b.1362.4
2-2303-2303.1362-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1362	$0.0$	✓	✓	$0.248$	$0$	$1.94179$	Modular form 2303.1.q.b.1362.3
2-2303-2303.1409-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1409	$0.0$	✓	✓	$-0.414$	$0$	$0.757344$	Modular form 2303.1.q.a.1409.1
2-2303-2303.1409-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1409	$0.0$	✓	✓	$-0.214$	$0$	$0.820020$	Modular form 2303.1.q.b.1409.2
2-2303-2303.1409-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1409	$0.0$	✓	✓	$-0.0149$	$0$	$1.03998$	Modular form 2303.1.q.b.1409.3
2-2303-2303.1409-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1409	$0.0$	✓	✓	$0.185$	$0$	$1.87353$	Modular form 2303.1.q.b.1409.1
2-2303-2303.1409-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1409	$0.0$	✓	✓	$0.385$	$0$	$2.63456$	Modular form 2303.1.q.b.1409.4
2-2303-2303.1597-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1597	$0.0$	✓	✓	$-0.0816$	$0$	$0.220382$	Modular form 2303.1.j.a.1597.1
2-2303-2303.1597-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1597	$0.0$	✓	✓	$-0.481$	$0$	$0.484191$	Modular form 2303.1.j.b.1597.2
2-2303-2303.1597-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1597	$0.0$	✓	✓	$0.318$	$0$	$1.44258$	Modular form 2303.1.j.b.1597.1
2-2303-2303.1597-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1597	$0.0$	✓	✓	$-0.281$	$0$	$1.49498$	Modular form 2303.1.j.b.1597.4
2-2303-2303.1597-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1597	$0.0$	✓	✓	$0.118$	$0$	$1.80501$	Modular form 2303.1.j.b.1597.3
2-2303-2303.1691-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1691	$0.0$	✓	✓	$-0.402$	$0$	$0.705753$	Modular form 2303.1.q.b.1691.1
2-2303-2303.1691-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1691	$0.0$	✓	✓	$0.197$	$0$	$1.02406$	Modular form 2303.1.q.a.1691.1
2-2303-2303.1691-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1691	$0.0$	✓	✓	$-0.00272$	$0$	$1.09155$	Modular form 2303.1.q.b.1691.2
2-2303-2303.1691-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1691	$0.0$	✓	✓	$-0.202$	$0$	$1.31064$	Modular form 2303.1.q.b.1691.3
2-2303-2303.1691-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1691	$0.0$	✓	✓	$0.397$	$0$	$2.54660$	Modular form 2303.1.q.b.1691.4
2-2303-2303.1738-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1738	$0.0$	✓	✓	$0.348$	$0$	$0.497954$	Modular form 2303.1.q.b.1738.1
2-2303-2303.1738-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1738	$0.0$	✓	✓	$0.148$	$0$	$0.693865$	Modular form 2303.1.q.b.1738.3
2-2303-2303.1738-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1738	$0.0$	✓	✓	$-0.0517$	$0$	$1.18411$	Modular form 2303.1.q.b.1738.2
2-2303-2303.1738-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1738	$0.0$	✓	✓	$-0.251$	$0$	$1.25714$	Modular form 2303.1.q.a.1738.1
2-2303-2303.1738-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1738	$0.0$	✓	✓	$-0.451$	$0$	$2.27170$	Modular form 2303.1.q.b.1738.4
2-2303-2303.1926-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1926	$0.0$	✓	✓	$-0.269$	$0$	$0.161084$	Modular form 2303.1.j.b.1926.3
2-2303-2303.1926-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1926	$0.0$	✓	✓	$-0.469$	$0$	$0.677243$	Modular form 2303.1.j.a.1926.1
2-2303-2303.1926-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1926	$0.0$	✓	✓	$0.330$	$0$	$1.38686$	Modular form 2303.1.j.b.1926.4
2-2303-2303.1926-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1926	$0.0$	✓	✓	$-0.0693$	$0$	$1.41443$	Modular form 2303.1.j.b.1926.1
2-2303-2303.1926-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.1926	$0.0$	✓	✓	$0.130$	$0$	$1.79519$	Modular form 2303.1.j.b.1926.2
2-2303-2303.2020-c0-0-0	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.2020	$0.0$	✓	✓	$0.336$	$0$	$0.180333$	Modular form 2303.1.q.b.2020.1
2-2303-2303.2020-c0-0-1	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.2020	$0.0$	✓	✓	$-0.263$	$0$	$0.632724$	Modular form 2303.1.q.b.2020.2
2-2303-2303.2020-c0-0-2	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.2020	$0.0$	✓	✓	$-0.0639$	$0$	$1.45564$	Modular form 2303.1.q.b.2020.3
2-2303-2303.2020-c0-0-3	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.2020	$0.0$	✓	✓	$0.136$	$0$	$1.87163$	Modular form 2303.1.q.a.2020.1
2-2303-2303.2020-c0-0-4	$1.07$	$1.14$	$2$	$7^{2} \cdot 47$	2303.2020	$0.0$	✓	✓	$-0.463$	$0$	$1.96244$	Modular form 2303.1.q.b.2020.4

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 748 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.