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 208 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-3960-1320.1019-c0-0-0	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1019	$0.0$	✓	✓	$-0.265$	$0$	$0.160562$	Modular form 3960.1.eg.a.2339.1
2-3960-1320.1019-c0-0-1	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1019	$0.0$	✓	✓	$-0.211$	$0$	$0.543442$	Modular form 3960.1.eg.a.2339.3
2-3960-1320.1019-c0-0-2	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1019	$0.0$	✓	✓	$-0.461$	$0$	$0.572307$	Modular form 3960.1.eg.b.2339.3
2-3960-1320.1019-c0-0-3	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1019	$0.0$	✓	✓	$-0.211$	$0$	$0.969169$	Modular form 3960.1.eg.b.2339.2
2-3960-1320.1019-c0-0-4	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1019	$0.0$	✓	✓	$-0.0159$	$0$	$1.03740$	Modular form 3960.1.eg.a.2339.4
2-3960-1320.1019-c0-0-5	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1019	$0.0$	✓	✓	$-0.0159$	$0$	$1.19466$	Modular form 3960.1.eg.b.2339.1
2-3960-1320.1019-c0-0-6	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1019	$0.0$	✓	✓	$-0.265$	$0$	$1.23222$	Modular form 3960.1.eg.b.2339.4
2-3960-1320.1019-c0-0-7	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1019	$0.0$	✓	✓	$-0.461$	$0$	$1.71197$	Modular form 3960.1.eg.a.2339.2
2-3960-1320.1139-c0-0-0	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1139	$0.0$	✓	✓	$-0.180$	$0$	$0.430493$	Modular form 3960.1.eg.b.3779.2
2-3960-1320.1139-c0-0-1	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1139	$0.0$	✓	✓	$-0.126$	$0$	$0.436959$	Modular form 3960.1.eg.b.3779.3
2-3960-1320.1139-c0-0-2	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1139	$0.0$	✓	✓	$-0.376$	$0$	$0.969567$	Modular form 3960.1.eg.a.3779.4
2-3960-1320.1139-c0-0-3	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1139	$0.0$	✓	✓	$-0.126$	$0$	$0.974974$	Modular form 3960.1.eg.a.3779.2
2-3960-1320.1139-c0-0-4	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1139	$0.0$	✓	✓	$-0.180$	$0$	$1.01855$	Modular form 3960.1.eg.a.3779.3
2-3960-1320.1139-c0-0-5	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1139	$0.0$	✓	✓	$0.0694$	$0$	$1.07008$	Modular form 3960.1.eg.b.3779.4
2-3960-1320.1139-c0-0-6	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1139	$0.0$	✓	✓	$0.0694$	$0$	$1.19461$	Modular form 3960.1.eg.a.3779.1
2-3960-1320.1139-c0-0-7	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.1139	$0.0$	✓	✓	$-0.376$	$0$	$1.64501$	Modular form 3960.1.eg.b.3779.1
2-3960-1320.299-c0-0-0	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.299	$0.0$	✓	✓	$-0.0694$	$0$	$0.389447$	Modular form 3960.1.eg.a.1619.1
2-3960-1320.299-c0-0-1	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.299	$0.0$	✓	✓	$0.376$	$0$	$0.410815$	Modular form 3960.1.eg.b.1619.1
2-3960-1320.299-c0-0-2	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.299	$0.0$	✓	✓	$0.126$	$0$	$0.764417$	Modular form 3960.1.eg.a.1619.2
2-3960-1320.299-c0-0-3	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.299	$0.0$	✓	✓	$0.180$	$0$	$1.02397$	Modular form 3960.1.eg.a.1619.3
2-3960-1320.299-c0-0-4	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.299	$0.0$	✓	✓	$0.126$	$0$	$1.43214$	Modular form 3960.1.eg.b.1619.3
2-3960-1320.299-c0-0-5	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.299	$0.0$	✓	✓	$-0.0694$	$0$	$1.46249$	Modular form 3960.1.eg.b.1619.4
2-3960-1320.299-c0-0-6	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.299	$0.0$	✓	✓	$0.180$	$0$	$1.47266$	Modular form 3960.1.eg.b.1619.2
2-3960-1320.299-c0-0-7	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.299	$0.0$	✓	✓	$0.376$	$0$	$1.68603$	Modular form 3960.1.eg.a.1619.4
2-3960-1320.659-c0-0-0	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.222$	$0$	$0.332601$	Modular form 3960.1.b.a.1979.1
2-3960-1320.659-c0-0-1	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.464$	$0$	$0.372769$	Modular form 3960.1.b.c.1979.4
2-3960-1320.659-c0-0-10	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.0270$	$0$	$1.05560$	Modular form 3960.1.b.a.1979.3
2-3960-1320.659-c0-0-11	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.160$	$0$	$1.13935$	Modular form 3960.1.b.d.1979.3
2-3960-1320.659-c0-0-12	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.0354$	$0$	$1.14694$	Modular form 3960.1.b.c.1979.6
2-3960-1320.659-c0-0-13	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.214$	$0$	$1.27766$	Modular form 3960.1.b.d.1979.8
2-3960-1320.659-c0-0-14	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.464$	$0$	$1.28546$	Modular form 3960.1.b.c.1979.3
2-3960-1320.659-c0-0-15	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.0270$	$0$	$1.34182$	Modular form 3960.1.b.b.1979.3
2-3960-1320.659-c0-0-16	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.0270$	$0$	$1.40919$	Modular form 3960.1.b.b.1979.2
2-3960-1320.659-c0-0-17	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.222$	$0$	$1.46029$	Modular form 3960.1.b.a.1979.4
2-3960-1320.659-c0-0-18	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.0895$	$0$	$1.50373$	Modular form 3960.1.b.c.1979.8
2-3960-1320.659-c0-0-19	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.285$	$0$	$1.52442$	Modular form 3960.1.b.d.1979.1
2-3960-1320.659-c0-0-2	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.410$	$0$	$0.412193$	Modular form 3960.1.b.c.1979.1
2-3960-1320.659-c0-0-20	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.339$	$0$	$1.56246$	Modular form 3960.1.b.d.1979.5
2-3960-1320.659-c0-0-21	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.410$	$0$	$1.75396$	Modular form 3960.1.b.c.1979.2
2-3960-1320.659-c0-0-22	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.214$	$0$	$1.84254$	Modular form 3960.1.b.d.1979.7
2-3960-1320.659-c0-0-23	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.222$	$0$	$1.94324$	Modular form 3960.1.b.b.1979.1
2-3960-1320.659-c0-0-3	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$0.0354$	$0$	$0.562522$	Modular form 3960.1.b.c.1979.5
2-3960-1320.659-c0-0-4	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.0895$	$0$	$0.788300$	Modular form 3960.1.b.c.1979.7
2-3960-1320.659-c0-0-5	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.285$	$0$	$0.788762$	Modular form 3960.1.b.d.1979.2
2-3960-1320.659-c0-0-6	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.0270$	$0$	$0.837897$	Modular form 3960.1.b.a.1979.2
2-3960-1320.659-c0-0-7	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.339$	$0$	$0.844245$	Modular form 3960.1.b.d.1979.6
2-3960-1320.659-c0-0-8	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.222$	$0$	$0.967337$	Modular form 3960.1.b.b.1979.4
2-3960-1320.659-c0-0-9	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.659	$0.0$	✓	✓	$-0.160$	$0$	$0.974826$	Modular form 3960.1.b.d.1979.4
2-3960-1320.899-c0-0-0	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.899	$0.0$	✓	✓	$0.461$	$0$	$0.266088$	Modular form 3960.1.eg.a.899.2
2-3960-1320.899-c0-0-1	$1.40$	$1.97$	$2$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 11$	1320.899	$0.0$	✓	✓	$0.0159$	$0$	$0.808153$	Modular form 3960.1.eg.b.899.1

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 208 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.