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 324 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2888-2888.1011-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1011	$1$	✓	✓	$-0.429$	$0$	$0.319101$	Character $\chi_{2888}(1011, \cdot)$
1-2888-2888.1027-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1027	$1$	✓	✓	$0.490$	$0$	$0.0185745$	Character $\chi_{2888}(1027, \cdot)$
1-2888-2888.1035-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1035	$1$	✓	✓	$0.382$	$0$	$0.0771055$	Character $\chi_{2888}(1035, \cdot)$
1-2888-2888.1043-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1043	$1$	✓	✓	$-0.0532$	$0$	$0.780090$	Character $\chi_{2888}(1043, \cdot)$
1-2888-2888.1051-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1051	$1$	✓	✓	$0.0655$	$0$	$0.565561$	Character $\chi_{2888}(1051, \cdot)$
1-2888-2888.1053-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1053	$1$	✓	✓	$-0.0759$	$0$	$0.424141$	Character $\chi_{2888}(1053, \cdot)$
1-2888-2888.1075-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1075	$1$	✓	✓	$-0.476$	$0$	$0.518406$	Character $\chi_{2888}(1075, \cdot)$
1-2888-2888.1077-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1077	$1$	✓	✓	$0.307$	$0$	$0.710458$	Character $\chi_{2888}(1077, \cdot)$
1-2888-2888.1085-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1085	$1$	✓	✓	$0.184$	$0$	$0.733006$	Character $\chi_{2888}(1085, \cdot)$
1-2888-2888.109-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.109	$1$	✓	✓	$0.0254$	$0$	$0.490550$	Character $\chi_{2888}(109, \cdot)$
1-2888-2888.1093-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1093	$1$	✓	✓	$0.315$	$0$	$0.736311$	Character $\chi_{2888}(1093, \cdot)$
1-2888-2888.1099-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1099	$1$	✓	✓	$-0.237$	$0$	$0.0510468$	Character $\chi_{2888}(1099, \cdot)$
1-2888-2888.11-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.11	$1$	✓	✓	$0.497$	$0$	$0.819842$	Character $\chi_{2888}(11, \cdot)$
1-2888-2888.1101-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1101	$1$	✓	✓	$0.0186$	$0$	$0.826806$	Character $\chi_{2888}(1101, \cdot)$
1-2888-2888.1107-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1107	$1$	✓	✓	$-0.0492$	$0$	$0.781043$	Character $\chi_{2888}(1107, \cdot)$
1-2888-2888.1117-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1117	$1$	✓	✓	$0.148$	$0$	$0.746432$	Character $\chi_{2888}(1117, \cdot)$
1-2888-2888.1133-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1133	$1$	✓	✓	$0.311$	$0$	$1.11259$	Character $\chi_{2888}(1133, \cdot)$
1-2888-2888.1147-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1147	$1$	✓	✓	$0.0646$	$0$	$0.667674$	Character $\chi_{2888}(1147, \cdot)$
1-2888-2888.115-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.115	$1$	✓	✓	$0.124$	$0$	$0.868792$	Character $\chi_{2888}(115, \cdot)$
1-2888-2888.1163-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1163	$1$	✓	✓	$-0.118$	$0$	$0.586101$	Character $\chi_{2888}(1163, \cdot)$
1-2888-2888.117-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.117	$1$	✓	✓	$0.0374$	$0$	$0.158448$	Character $\chi_{2888}(117, \cdot)$
1-2888-2888.1173-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1173	$1$	✓	✓	$0.374$	$0$	$1.07202$	Character $\chi_{2888}(1173, \cdot)$
1-2888-2888.1179-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1179	$1$	✓	✓	$0.340$	$0$	$1.03873$	Character $\chi_{2888}(1179, \cdot)$
1-2888-2888.1181-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1181	$1$	✓	✓	$0.393$	$0$	$0.125041$	Character $\chi_{2888}(1181, \cdot)$
1-2888-2888.1187-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1187	$1$	✓	✓	$-0.160$	$0$	$0.742165$	Character $\chi_{2888}(1187, \cdot)$
1-2888-2888.1195-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1195	$1$	✓	✓	$-0.124$	$0$	$0.741476$	Character $\chi_{2888}(1195, \cdot)$
1-2888-2888.1203-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1203	$1$	✓	✓	$0.379$	$0$	$1.08155$	Character $\chi_{2888}(1203, \cdot)$
1-2888-2888.1205-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1205	$1$	✓	✓	$0.374$	$0$	$0.711657$	Character $\chi_{2888}(1205, \cdot)$
1-2888-2888.1227-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1227	$1$	✓	✓	$0.476$	$0$	$0.0867749$	Character $\chi_{2888}(1227, \cdot)$
1-2888-2888.1229-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1229	$1$	✓	✓	$0.481$	$0$	$0.968860$	Character $\chi_{2888}(1229, \cdot)$
1-2888-2888.123-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.123	$1$	✓	✓	$-0.190$	$0$	$0.358618$	Character $\chi_{2888}(123, \cdot)$
1-2888-2888.1237-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1237	$1$	✓	✓	$0.203$	$0$	$0.903197$	Character $\chi_{2888}(1237, \cdot)$
1-2888-2888.1245-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1245	$1$	✓	✓	$-0.240$	$0$	$0.202873$	Character $\chi_{2888}(1245, \cdot)$
1-2888-2888.1251-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1251	$1$	✓	✓	$0.280$	$0$	$0.897452$	Character $\chi_{2888}(1251, \cdot)$
1-2888-2888.1253-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1253	$1$	✓	✓	$0.273$	$0$	$1.07413$	Character $\chi_{2888}(1253, \cdot)$
1-2888-2888.1259-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1259	$1$	✓	✓	$0.118$	$0$	$0.594726$	Character $\chi_{2888}(1259, \cdot)$
1-2888-2888.1269-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1269	$1$	✓	✓	$0.425$	$0$	$0.0340856$	Character $\chi_{2888}(1269, \cdot)$
1-2888-2888.1285-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1285	$1$	✓	✓	$0.352$	$0$	$0.699688$	Character $\chi_{2888}(1285, \cdot)$
1-2888-2888.1299-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1299	$1$	✓	✓	$-0.124$	$0$	$0.114482$	Character $\chi_{2888}(1299, \cdot)$
1-2888-2888.13-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.13	$1$	✓	✓	$0.0924$	$0$	$0.329289$	Character $\chi_{2888}(13, \cdot)$
1-2888-2888.131-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.131	$1$	✓	✓	$-0.0458$	$0$	$0.480568$	Character $\chi_{2888}(131, \cdot)$
1-2888-2888.1315-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1315	$1$	✓	✓	$0.379$	$0$	$1.19928$	Character $\chi_{2888}(1315, \cdot)$
1-2888-2888.1325-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1325	$1$	✓	✓	$0.0987$	$0$	$0.106797$	Character $\chi_{2888}(1325, \cdot)$
1-2888-2888.1331-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1331	$1$	✓	✓	$-0.124$	$0$	$0.343750$	Character $\chi_{2888}(1331, \cdot)$
1-2888-2888.1333-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1333	$1$	✓	✓	$-0.0924$	$0$	$0.370919$	Character $\chi_{2888}(1333, \cdot)$
1-2888-2888.1339-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1339	$1$	✓	✓	$-0.451$	$0$	$1.29070$	Character $\chi_{2888}(1339, \cdot)$
1-2888-2888.1347-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1347	$1$	✓	✓	$0.143$	$0$	$0.602244$	Character $\chi_{2888}(1347, \cdot)$
1-2888-2888.1355-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1355	$1$	✓	✓	$-0.124$	$0$	$0.390075$	Character $\chi_{2888}(1355, \cdot)$
1-2888-2888.1357-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1357	$1$	✓	✓	$0.456$	$0$	$0.754148$	Character $\chi_{2888}(1357, \cdot)$
1-2888-2888.1379-r1-0-0	$310.$	$310.$	$1$	$2^{3} \cdot 19^{2}$	2888.1379	$1$	✓	✓	$-0.0618$	$0$	$0.441606$	Character $\chi_{2888}(1379, \cdot)$

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 324 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.