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 648 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2888-2888.1003-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1003	$0$	✓	✓	$0.131$	$0$	$0.861077$	Character $\chi_{2888}(1003, \cdot)$
1-2888-2888.1005-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1005	$0$	✓	✓	$0.490$	$0$	$0.191297$	Character $\chi_{2888}(1005, \cdot)$
1-2888-2888.101-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.101	$0$	✓	✓	$-0.280$	$0$	$0.487245$	Character $\chi_{2888}(101, \cdot)$
1-2888-2888.1013-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1013	$0$	✓	✓	$-0.143$	$0$	$0.536088$	Character $\chi_{2888}(1013, \cdot)$
1-2888-2888.1019-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1019	$0$	✓	✓	$-0.185$	$0$	$0.800964$	Character $\chi_{2888}(1019, \cdot)$
1-2888-2888.1037-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1037	$0$	✓	✓	$-0.398$	$0$	$0.0388444$	Character $\chi_{2888}(1037, \cdot)$
1-2888-2888.1059-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1059	$0$	✓	✓	$-0.299$	$0$	$0.296888$	Character $\chi_{2888}(1059, \cdot)$
1-2888-2888.1061-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1061	$0$	✓	✓	$0.103$	$0$	$1.09094$	Character $\chi_{2888}(1061, \cdot)$
1-2888-2888.1067-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1067	$0$	✓	✓	$-0.487$	$0$	$1.73771$	Character $\chi_{2888}(1067, \cdot)$
1-2888-2888.1069-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1069	$0$	✓	✓	$-0.379$	$0$	$1.45742$	Character $\chi_{2888}(1069, \cdot)$
1-2888-2888.107-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.107	$0$	✓	✓	$-0.0930$	$0$	$0.351343$	Character $\chi_{2888}(107, \cdot)$
1-2888-2888.1091-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1091	$0$	✓	✓	$-0.226$	$0$	$0.308788$	Character $\chi_{2888}(1091, \cdot)$
1-2888-2888.1109-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1109	$0$	✓	✓	$-0.164$	$0$	$0.706193$	Character $\chi_{2888}(1109, \cdot)$
1-2888-2888.1115-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1115	$0$	✓	✓	$-0.184$	$0$	$0.631571$	Character $\chi_{2888}(1115, \cdot)$
1-2888-2888.1123-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1123	$0$	✓	✓	$-0.303$	$0$	$0.366487$	Character $\chi_{2888}(1123, \cdot)$
1-2888-2888.1125-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1125	$0$	✓	✓	$0.0655$	$0$	$0.520489$	Character $\chi_{2888}(1125, \cdot)$
1-2888-2888.1131-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1131	$0$	✓	✓	$-0.367$	$0$	$1.60690$	Character $\chi_{2888}(1131, \cdot)$
1-2888-2888.1139-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1139	$0$	✓	✓	$0.240$	$0$	$0.749224$	Character $\chi_{2888}(1139, \cdot)$
1-2888-2888.1141-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1141	$0$	✓	✓	$-0.490$	$0$	$0.723126$	Character $\chi_{2888}(1141, \cdot)$
1-2888-2888.1149-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1149	$0$	✓	✓	$0.267$	$0$	$1.34649$	Character $\chi_{2888}(1149, \cdot)$
1-2888-2888.1155-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1155	$0$	✓	✓	$-0.179$	$0$	$0.363260$	Character $\chi_{2888}(1155, \cdot)$
1-2888-2888.1157-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1157	$0$	✓	✓	$-0.229$	$0$	$0.204054$	Character $\chi_{2888}(1157, \cdot)$
1-2888-2888.1165-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1165	$0$	✓	✓	$-0.103$	$0$	$0.760480$	Character $\chi_{2888}(1165, \cdot)$
1-2888-2888.1171-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1171	$0$	✓	✓	$-0.145$	$0$	$0.405462$	Character $\chi_{2888}(1171, \cdot)$
1-2888-2888.1189-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1189	$0$	✓	✓	$-0.00738$	$0$	$0.554152$	Character $\chi_{2888}(1189, \cdot)$
1-2888-2888.1211-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1211	$0$	✓	✓	$0.363$	$0$	$1.29924$	Character $\chi_{2888}(1211, \cdot)$
1-2888-2888.1213-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1213	$0$	✓	✓	$-0.214$	$0$	$0.697053$	Character $\chi_{2888}(1213, \cdot)$
1-2888-2888.1219-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1219	$0$	✓	✓	$0.0180$	$0$	$1.05847$	Character $\chi_{2888}(1219, \cdot)$
1-2888-2888.1221-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1221	$0$	✓	✓	$-0.398$	$0$	$0.390625$	Character $\chi_{2888}(1221, \cdot)$
1-2888-2888.1243-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1243	$0$	✓	✓	$0.145$	$0$	$0.341095$	Character $\chi_{2888}(1243, \cdot)$
1-2888-2888.125-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.125	$0$	✓	✓	$0.164$	$0$	$0.865182$	Character $\chi_{2888}(125, \cdot)$
1-2888-2888.1261-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1261	$0$	✓	✓	$-0.476$	$0$	$1.83128$	Character $\chi_{2888}(1261, \cdot)$
1-2888-2888.1267-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1267	$0$	✓	✓	$-0.440$	$0$	$0.286006$	Character $\chi_{2888}(1267, \cdot)$
1-2888-2888.1275-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1275	$0$	✓	✓	$-0.141$	$0$	$0.981235$	Character $\chi_{2888}(1275, \cdot)$
1-2888-2888.1277-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1277	$0$	✓	✓	$0.124$	$0$	$0.586794$	Character $\chi_{2888}(1277, \cdot)$
1-2888-2888.1283-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1283	$0$	✓	✓	$-0.0203$	$0$	$0.642953$	Character $\chi_{2888}(1283, \cdot)$
1-2888-2888.1291-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1291	$0$	✓	✓	$-0.478$	$0$	$0.958934$	Character $\chi_{2888}(1291, \cdot)$
1-2888-2888.1293-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1293	$0$	✓	✓	$-0.271$	$0$	$0.587282$	Character $\chi_{2888}(1293, \cdot)$
1-2888-2888.1301-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1301	$0$	✓	✓	$0.0464$	$0$	$0.932791$	Character $\chi_{2888}(1301, \cdot)$
1-2888-2888.1307-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1307	$0$	✓	✓	$0.106$	$0$	$0.872572$	Character $\chi_{2888}(1307, \cdot)$
1-2888-2888.1309-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1309	$0$	✓	✓	$0.190$	$0$	$1.31044$	Character $\chi_{2888}(1309, \cdot)$
1-2888-2888.1323-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1323	$0$	✓	✓	$-0.148$	$0$	$0.684983$	Character $\chi_{2888}(1323, \cdot)$
1-2888-2888.1341-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1341	$0$	✓	✓	$-0.124$	$0$	$0.697378$	Character $\chi_{2888}(1341, \cdot)$
1-2888-2888.1363-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1363	$0$	✓	✓	$0.482$	$0$	$0.132582$	Character $\chi_{2888}(1363, \cdot)$
1-2888-2888.1365-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1365	$0$	✓	✓	$-0.0655$	$0$	$1.05106$	Character $\chi_{2888}(1365, \cdot)$
1-2888-2888.1371-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1371	$0$	✓	✓	$-0.125$	$0$	$0.518386$	Character $\chi_{2888}(1371, \cdot)$
1-2888-2888.1373-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1373	$0$	✓	✓	$0.190$	$0$	$1.21104$	Character $\chi_{2888}(1373, \cdot)$
1-2888-2888.1395-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1395	$0$	✓	✓	$0.376$	$0$	$1.17257$	Character $\chi_{2888}(1395, \cdot)$
1-2888-2888.1413-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1413	$0$	✓	✓	$0.176$	$0$	$1.17510$	Character $\chi_{2888}(1413, \cdot)$
1-2888-2888.1419-r0-0-0	$13.4$	$13.4$	$1$	$2^{3} \cdot 19^{2}$	2888.1419	$0$	✓	✓	$0.464$	$0$	$1.64611$	Character $\chi_{2888}(1419, \cdot)$

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 648 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.