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 96 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-12e3-1728.1003-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1003	$1$	✓	✓	$0.365$	$0$	$0.944497$	Character $\chi_{1728}(1003, \cdot)$
1-12e3-1728.101-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.101	$1$	✓	✓	$0.166$	$0$	$0.633018$	Character $\chi_{1728}(101, \cdot)$
1-12e3-1728.1013-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1013	$1$	✓	✓	$0.365$	$0$	$1.21961$	Character $\chi_{1728}(1013, \cdot)$
1-12e3-1728.1037-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1037	$1$	✓	✓	$0.0931$	$0$	$1.04966$	Character $\chi_{1728}(1037, \cdot)$
1-12e3-1728.1051-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1051	$1$	✓	✓	$0.166$	$0$	$0.780518$	Character $\chi_{1728}(1051, \cdot)$
1-12e3-1728.1075-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1075	$1$	✓	✓	$0.499$	$0$	$1.34902$	Character $\chi_{1728}(1075, \cdot)$
1-12e3-1728.1085-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1085	$1$	✓	✓	$-0.124$	$0$	$0.204701$	Character $\chi_{1728}(1085, \cdot)$
1-12e3-1728.1109-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1109	$1$	✓	✓	$-0.208$	$0$	$0.428190$	Character $\chi_{1728}(1109, \cdot)$
1-12e3-1728.1123-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1123	$1$	✓	✓	$0.468$	$0$	$0.194507$	Character $\chi_{1728}(1123, \cdot)$
1-12e3-1728.1147-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1147	$1$	✓	✓	$-0.259$	$0$	$1.60033$	Character $\chi_{1728}(1147, \cdot)$
1-12e3-1728.115-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.115	$1$	✓	✓	$0.259$	$0$	$0.802814$	Character $\chi_{1728}(115, \cdot)$
1-12e3-1728.1157-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1157	$1$	✓	✓	$0.240$	$0$	$0.866708$	Character $\chi_{1728}(1157, \cdot)$
1-12e3-1728.1181-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1181	$1$	✓	✓	$-0.365$	$0$	$0.104144$	Character $\chi_{1728}(1181, \cdot)$
1-12e3-1728.1195-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1195	$1$	✓	✓	$-0.208$	$0$	$0.319981$	Character $\chi_{1728}(1195, \cdot)$
1-12e3-1728.1219-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1219	$1$	✓	✓	$0.208$	$0$	$1.07657$	Character $\chi_{1728}(1219, \cdot)$
1-12e3-1728.1229-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1229	$1$	✓	✓	$-0.166$	$0$	$0.383926$	Character $\chi_{1728}(1229, \cdot)$
1-12e3-1728.1253-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1253	$1$	✓	✓	$0.499$	$0$	$1.38183$	Character $\chi_{1728}(1253, \cdot)$
1-12e3-1728.1267-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1267	$1$	✓	✓	$0.259$	$0$	$0.147268$	Character $\chi_{1728}(1267, \cdot)$
1-12e3-1728.1291-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1291	$1$	✓	✓	$-0.468$	$0$	$1.59068$	Character $\chi_{1728}(1291, \cdot)$
1-12e3-1728.1301-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1301	$1$	✓	✓	$-0.468$	$0$	$1.10529$	Character $\chi_{1728}(1301, \cdot)$
1-12e3-1728.1325-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1325	$1$	✓	✓	$-0.240$	$0$	$0.482588$	Character $\chi_{1728}(1325, \cdot)$
1-12e3-1728.1339-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1339	$1$	✓	✓	$0.499$	$0$	$0.123984$	Character $\chi_{1728}(1339, \cdot)$
1-12e3-1728.1363-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1363	$1$	✓	✓	$-0.166$	$0$	$0.545935$	Character $\chi_{1728}(1363, \cdot)$
1-12e3-1728.1373-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1373	$1$	✓	✓	$-0.291$	$0$	$0.249175$	Character $\chi_{1728}(1373, \cdot)$
1-12e3-1728.139-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.139	$1$	✓	✓	$-0.134$	$0$	$0.361278$	Character $\chi_{1728}(139, \cdot)$
1-12e3-1728.1397-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1397	$1$	✓	✓	$0.291$	$0$	$0.693625$	Character $\chi_{1728}(1397, \cdot)$
1-12e3-1728.1411-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1411	$1$	✓	✓	$-0.365$	$0$	$0.452106$	Character $\chi_{1728}(1411, \cdot)$
1-12e3-1728.1435-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1435	$1$	✓	✓	$-0.259$	$0$	$0.310080$	Character $\chi_{1728}(1435, \cdot)$
1-12e3-1728.1445-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1445	$1$	✓	✓	$0.240$	$0$	$0.978389$	Character $\chi_{1728}(1445, \cdot)$
1-12e3-1728.1469-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1469	$1$	✓	✓	$0.468$	$0$	$0.0452651$	Character $\chi_{1728}(1469, \cdot)$
1-12e3-1728.1483-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1483	$1$	✓	✓	$0.291$	$0$	$1.06247$	Character $\chi_{1728}(1483, \cdot)$
1-12e3-1728.149-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.149	$1$	✓	✓	$-0.134$	$0$	$0.338590$	Character $\chi_{1728}(149, \cdot)$
1-12e3-1728.1507-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1507	$1$	✓	✓	$0.375$	$0$	$0.0989615$	Character $\chi_{1728}(1507, \cdot)$
1-12e3-1728.1517-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1517	$1$	✓	✓	$0.499$	$0$	$0.315915$	Character $\chi_{1728}(1517, \cdot)$
1-12e3-1728.1541-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1541	$1$	✓	✓	$0.166$	$0$	$0.537323$	Character $\chi_{1728}(1541, \cdot)$
1-12e3-1728.1555-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1555	$1$	✓	✓	$-0.406$	$0$	$1.07744$	Character $\chi_{1728}(1555, \cdot)$
1-12e3-1728.1579-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1579	$1$	✓	✓	$0.365$	$0$	$1.02476$	Character $\chi_{1728}(1579, \cdot)$
1-12e3-1728.1589-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1589	$1$	✓	✓	$0.365$	$0$	$0.833131$	Character $\chi_{1728}(1589, \cdot)$
1-12e3-1728.1613-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1613	$1$	✓	✓	$-0.240$	$0$	$0.480552$	Character $\chi_{1728}(1613, \cdot)$
1-12e3-1728.1627-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1627	$1$	✓	✓	$0.166$	$0$	$0.929350$	Character $\chi_{1728}(1627, \cdot)$
1-12e3-1728.1651-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1651	$1$	✓	✓	$-0.166$	$0$	$0.452918$	Character $\chi_{1728}(1651, \cdot)$
1-12e3-1728.1661-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1661	$1$	✓	✓	$0.208$	$0$	$1.07493$	Character $\chi_{1728}(1661, \cdot)$
1-12e3-1728.1685-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1685	$1$	✓	✓	$0.124$	$0$	$0.444113$	Character $\chi_{1728}(1685, \cdot)$
1-12e3-1728.1699-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1699	$1$	✓	✓	$0.134$	$0$	$0.626455$	Character $\chi_{1728}(1699, \cdot)$
1-12e3-1728.1723-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.1723	$1$	✓	✓	$0.406$	$0$	$1.23269$	Character $\chi_{1728}(1723, \cdot)$
1-12e3-1728.173-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.173	$1$	✓	✓	$0.0931$	$0$	$0.871791$	Character $\chi_{1728}(173, \cdot)$
1-12e3-1728.187-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.187	$1$	✓	✓	$0.166$	$0$	$1.10976$	Character $\chi_{1728}(187, \cdot)$
1-12e3-1728.211-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.211	$1$	✓	✓	$0.499$	$0$	$1.02144$	Character $\chi_{1728}(211, \cdot)$
1-12e3-1728.221-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.221	$1$	✓	✓	$0.375$	$0$	$1.14670$	Character $\chi_{1728}(221, \cdot)$
1-12e3-1728.245-r1-0-0	$185.$	$185.$	$1$	$2^{6} \cdot 3^{3}$	1728.245	$1$	✓	✓	$0.291$	$0$	$0.993153$	Character $\chi_{1728}(245, \cdot)$

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 96 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.