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 192 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-3525-141.101-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.101	$0.0$	✓	✓	$0.386$	$0$	$0.0367759$	Modular form 3525.1.bd.a.101.1
2-3525-141.101-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.101	$0.0$	✓	✓	$0.386$	$0$	$1.87756$	Modular form 3525.1.bd.a.101.2
2-3525-141.110-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.110	$0.0$	✓	✓	$0.0508$	$0$	$1.29676$	Modular form 3525.1.bd.a.251.2
2-3525-141.110-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.110	$0.0$	✓	✓	$0.0508$	$0$	$1.42071$	Modular form 3525.1.bd.a.251.1
2-3525-141.119-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.119	$0.0$	✓	✓	$0.363$	$0$	$0.780869$	Modular form 3525.1.bd.a.401.1
2-3525-141.119-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.119	$0.0$	✓	✓	$0.363$	$0$	$0.952846$	Modular form 3525.1.bd.a.401.2
2-3525-141.122-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.122	$0.0$	✓	✓	$-0.0502$	$0$	$0.582368$	Modular form 3525.1.bd.a.2801.2
2-3525-141.122-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.122	$0.0$	✓	✓	$-0.0502$	$0$	$0.950105$	Modular form 3525.1.bd.a.2801.1
2-3525-141.128-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.128	$0.0$	✓	✓	$-0.0399$	$0$	$0.770245$	Modular form 3525.1.bd.a.551.1
2-3525-141.128-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.128	$0.0$	✓	✓	$-0.0399$	$0$	$1.17573$	Modular form 3525.1.bd.a.551.2
2-3525-141.131-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.131	$0.0$	✓	✓	$0.0602$	$0$	$1.05853$	Modular form 3525.1.bd.a.2951.1
2-3525-141.131-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.131	$0.0$	✓	✓	$0.0602$	$0$	$1.59983$	Modular form 3525.1.bd.a.2951.2
2-3525-141.14-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.14	$0.0$	✓	✓	$-0.0602$	$0$	$1.02056$	Modular form 3525.1.bd.a.1001.1
2-3525-141.14-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.14	$0.0$	✓	✓	$-0.0602$	$0$	$1.36372$	Modular form 3525.1.bd.a.1001.2
2-3525-141.17-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.17	$0.0$	✓	✓	$0.152$	$0$	$1.10559$	Modular form 3525.1.bd.a.3401.2
2-3525-141.17-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.17	$0.0$	✓	✓	$0.152$	$0$	$1.43353$	Modular form 3525.1.bd.a.3401.1
2-3525-141.2-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.2	$0.0$	✓	✓	$-0.0145$	$0$	$1.10825$	Modular form 3525.1.bd.a.1976.1
2-3525-141.2-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.2	$0.0$	✓	✓	$-0.0145$	$0$	$1.23233$	Modular form 3525.1.bd.a.1976.2
2-3525-141.32-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.32	$0.0$	✓	✓	$-0.363$	$0$	$0.716682$	Modular form 3525.1.bd.a.1301.1
2-3525-141.32-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.32	$0.0$	✓	✓	$-0.363$	$0$	$2.63353$	Modular form 3525.1.bd.a.1301.2
2-3525-141.50-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.50	$0.0$	✓	✓	$-0.0508$	$0$	$0.467893$	Modular form 3525.1.bd.a.1601.1
2-3525-141.50-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.50	$0.0$	✓	✓	$-0.0508$	$0$	$1.46867$	Modular form 3525.1.bd.a.1601.2
2-3525-141.53-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.53	$0.0$	✓	✓	$0.350$	$0$	$0.380229$	Modular form 3525.1.bd.a.476.2
2-3525-141.53-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.53	$0.0$	✓	✓	$0.350$	$0$	$1.27366$	Modular form 3525.1.bd.a.476.1
2-3525-141.56-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.56	$0.0$	✓	✓	$-0.164$	$0$	$0.408830$	Modular form 3525.1.bd.a.2876.1
2-3525-141.56-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.56	$0.0$	✓	✓	$-0.164$	$0$	$1.84324$	Modular form 3525.1.bd.a.2876.2
2-3525-141.59-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.59	$0.0$	✓	✓	$-0.454$	$0$	$0.864853$	Modular form 3525.1.bd.a.1751.2
2-3525-141.59-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.59	$0.0$	✓	✓	$-0.454$	$0$	$1.69914$	Modular form 3525.1.bd.a.1751.1
2-3525-141.65-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.65	$0.0$	✓	✓	$0.0399$	$0$	$0.729492$	Modular form 3525.1.bd.a.3026.1
2-3525-141.65-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.65	$0.0$	✓	✓	$0.0399$	$0$	$1.80330$	Modular form 3525.1.bd.a.3026.2
2-3525-141.68-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.68	$0.0$	✓	✓	$0.164$	$0$	$1.08861$	Modular form 3525.1.bd.a.1901.1
2-3525-141.68-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.68	$0.0$	✓	✓	$0.164$	$0$	$1.90552$	Modular form 3525.1.bd.a.1901.2
2-3525-141.71-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.71	$0.0$	✓	✓	$0.0145$	$0$	$0.933467$	Modular form 3525.1.bd.a.776.1
2-3525-141.71-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.71	$0.0$	✓	✓	$0.0145$	$0$	$1.40286$	Modular form 3525.1.bd.a.776.2
2-3525-141.74-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.74	$0.0$	✓	✓	$-0.386$	$0$	$0.491917$	Modular form 3525.1.bd.a.3176.2
2-3525-141.74-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.74	$0.0$	✓	✓	$-0.386$	$0$	$1.78054$	Modular form 3525.1.bd.a.3176.1
2-3525-141.8-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.8	$0.0$	✓	✓	$-0.350$	$0$	$0.896073$	Modular form 3525.1.bd.a.3251.1
2-3525-141.8-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.8	$0.0$	✓	✓	$-0.350$	$0$	$1.71226$	Modular form 3525.1.bd.a.3251.2
2-3525-141.83-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.83	$0.0$	✓	✓	$-0.152$	$0$	$0.0648130$	Modular form 3525.1.bd.a.3326.1
2-3525-141.83-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.83	$0.0$	✓	✓	$-0.152$	$0$	$1.25309$	Modular form 3525.1.bd.a.3326.2
2-3525-141.89-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.89	$0.0$	✓	✓	$0.0502$	$0$	$0.946492$	Modular form 3525.1.bd.a.1076.2
2-3525-141.89-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.89	$0.0$	✓	✓	$0.0502$	$0$	$1.31949$	Modular form 3525.1.bd.a.1076.1
2-3525-141.98-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.98	$0.0$	✓	✓	$0.454$	$0$	$0.692965$	Modular form 3525.1.bd.a.1226.1
2-3525-141.98-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	141.98	$0.0$	✓	✓	$0.454$	$0$	$1.25769$	Modular form 3525.1.bd.a.1226.2
2-3525-705.107-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	705.107	$0.0$	✓	✓	$-0.0635$	$0$	$0.626876$	Modular form 3525.1.bg.a.107.1
2-3525-705.107-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	705.107	$0.0$	✓	✓	$-0.0635$	$0$	$1.50942$	Modular form 3525.1.bg.a.107.2
2-3525-705.113-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	705.113	$0.0$	✓	✓	$-0.433$	$0$	$0.0667594$	Modular form 3525.1.bg.a.818.2
2-3525-705.113-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	705.113	$0.0$	✓	✓	$-0.433$	$0$	$0.570468$	Modular form 3525.1.bg.a.818.1
2-3525-705.137-c0-0-0	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	705.137	$0.0$	✓	✓	$0.108$	$0$	$1.14198$	Modular form 3525.1.bg.a.2957.2
2-3525-705.137-c0-0-1	$1.32$	$1.75$	$2$	$3 \cdot 5^{2} \cdot 47$	705.137	$0.0$	✓	✓	$0.108$	$0$	$1.41974$	Modular form 3525.1.bg.a.2957.1

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 192 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.