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 320 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1125-1125.1006-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1006	$0$	✓	✓	$0.100$	$0$	$0.997591$	Character $\chi_{1125}(1006, \cdot)$
1-1125-1125.1013-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1013	$0$	✓	✓	$0.477$	$0$	$1.16995$	Character $\chi_{1125}(1013, \cdot)$
1-1125-1125.1021-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1021	$0$	✓	✓	$-0.100$	$0$	$0.223352$	Character $\chi_{1125}(1021, \cdot)$
1-1125-1125.1022-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1022	$0$	✓	✓	$0.499$	$0$	$0.271438$	Character $\chi_{1125}(1022, \cdot)$
1-1125-1125.1028-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1028	$0$	✓	✓	$0.176$	$0$	$1.33798$	Character $\chi_{1125}(1028, \cdot)$
1-1125-1125.1037-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1037	$0$	✓	✓	$0.454$	$0$	$1.35563$	Character $\chi_{1125}(1037, \cdot)$
1-1125-1125.1039-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1039	$0$	✓	✓	$-0.204$	$0$	$0.642123$	Character $\chi_{1125}(1039, \cdot)$
1-1125-1125.1058-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1058	$0$	✓	✓	$-0.176$	$0$	$0.549739$	Character $\chi_{1125}(1058, \cdot)$
1-1125-1125.106-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.106	$0$	✓	✓	$-0.0991$	$0$	$0.331943$	Character $\chi_{1125}(106, \cdot)$
1-1125-1125.1066-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1066	$0$	✓	✓	$-0.472$	$0$	$1.50020$	Character $\chi_{1125}(1066, \cdot)$
1-1125-1125.1067-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1067	$0$	✓	✓	$-0.176$	$0$	$0.821074$	Character $\chi_{1125}(1067, \cdot)$
1-1125-1125.1069-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1069	$0$	✓	✓	$0.100$	$0$	$1.27645$	Character $\chi_{1125}(1069, \cdot)$
1-1125-1125.1073-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1073	$0$	✓	✓	$0.222$	$0$	$1.44149$	Character $\chi_{1125}(1073, \cdot)$
1-1125-1125.1084-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1084	$0$	✓	✓	$0.0271$	$0$	$0.519790$	Character $\chi_{1125}(1084, \cdot)$
1-1125-1125.1096-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1096	$0$	✓	✓	$-0.323$	$0$	$0.921994$	Character $\chi_{1125}(1096, \cdot)$
1-1125-1125.1103-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1103	$0$	✓	✓	$0.499$	$0$	$1.95912$	Character $\chi_{1125}(1103, \cdot)$
1-1125-1125.1111-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1111	$0$	✓	✓	$0.495$	$0$	$0.363659$	Character $\chi_{1125}(1111, \cdot)$
1-1125-1125.1112-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1112	$0$	✓	✓	$-0.0228$	$0$	$1.02954$	Character $\chi_{1125}(1112, \cdot)$
1-1125-1125.1114-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.1114	$0$	✓	✓	$-0.427$	$0$	$0.503305$	Character $\chi_{1125}(1114, \cdot)$
1-1125-1125.113-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.113	$0$	✓	✓	$0.277$	$0$	$0.821652$	Character $\chi_{1125}(113, \cdot)$
1-1125-1125.121-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.121	$0$	✓	✓	$0.499$	$0$	$0.474658$	Character $\chi_{1125}(121, \cdot)$
1-1125-1125.122-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.122	$0$	✓	✓	$0.0991$	$0$	$1.03394$	Character $\chi_{1125}(122, \cdot)$
1-1125-1125.128-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.128	$0$	✓	✓	$0.376$	$0$	$0.986825$	Character $\chi_{1125}(128, \cdot)$
1-1125-1125.137-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.137	$0$	✓	✓	$0.0548$	$0$	$0.582914$	Character $\chi_{1125}(137, \cdot)$
1-1125-1125.139-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.139	$0$	✓	✓	$0.00488$	$0$	$0.385548$	Character $\chi_{1125}(139, \cdot)$
1-1125-1125.158-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.158	$0$	✓	✓	$-0.176$	$0$	$1.08751$	Character $\chi_{1125}(158, \cdot)$
1-1125-1125.16-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.16	$0$	✓	✓	$-0.295$	$0$	$0.722806$	Character $\chi_{1125}(16, \cdot)$
1-1125-1125.166-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.166	$0$	✓	✓	$-0.472$	$0$	$0.612769$	Character $\chi_{1125}(166, \cdot)$
1-1125-1125.167-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.167	$0$	✓	✓	$-0.376$	$0$	$0.413632$	Character $\chi_{1125}(167, \cdot)$
1-1125-1125.169-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.169	$0$	✓	✓	$-0.0991$	$0$	$0.799230$	Character $\chi_{1125}(169, \cdot)$
1-1125-1125.173-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.173	$0$	✓	✓	$0.0228$	$0$	$0.576276$	Character $\chi_{1125}(173, \cdot)$
1-1125-1125.184-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.184	$0$	✓	✓	$0.0271$	$0$	$1.14020$	Character $\chi_{1125}(184, \cdot)$
1-1125-1125.196-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.196	$0$	✓	✓	$-0.123$	$0$	$0.468878$	Character $\chi_{1125}(196, \cdot)$
1-1125-1125.2-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.2	$0$	✓	✓	$0.322$	$0$	$1.04370$	Character $\chi_{1125}(2, \cdot)$
1-1125-1125.203-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.203	$0$	✓	✓	$0.0991$	$0$	$0.627444$	Character $\chi_{1125}(203, \cdot)$
1-1125-1125.211-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.211	$0$	✓	✓	$0.295$	$0$	$1.17097$	Character $\chi_{1125}(211, \cdot)$
1-1125-1125.212-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.212	$0$	✓	✓	$-0.222$	$0$	$0.477848$	Character $\chi_{1125}(212, \cdot)$
1-1125-1125.214-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.214	$0$	✓	✓	$-0.0271$	$0$	$0.747683$	Character $\chi_{1125}(214, \cdot)$
1-1125-1125.227-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.227	$0$	✓	✓	$-0.277$	$0$	$0.625736$	Character $\chi_{1125}(227, \cdot)$
1-1125-1125.229-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.229	$0$	✓	✓	$-0.100$	$0$	$1.02852$	Character $\chi_{1125}(229, \cdot)$
1-1125-1125.23-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.23	$0$	✓	✓	$-0.0548$	$0$	$0.467540$	Character $\chi_{1125}(23, \cdot)$
1-1125-1125.241-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.241	$0$	✓	✓	$0.495$	$0$	$1.45795$	Character $\chi_{1125}(241, \cdot)$
1-1125-1125.248-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.248	$0$	✓	✓	$-0.454$	$0$	$0.0477594$	Character $\chi_{1125}(248, \cdot)$
1-1125-1125.256-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.256	$0$	✓	✓	$0.323$	$0$	$1.18492$	Character $\chi_{1125}(256, \cdot)$
1-1125-1125.259-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.259	$0$	✓	✓	$0.00488$	$0$	$1.01868$	Character $\chi_{1125}(259, \cdot)$
1-1125-1125.263-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.263	$0$	✓	✓	$-0.245$	$0$	$0.699937$	Character $\chi_{1125}(263, \cdot)$
1-1125-1125.272-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.272	$0$	✓	✓	$-0.223$	$0$	$0.848568$	Character $\chi_{1125}(272, \cdot)$
1-1125-1125.286-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.286	$0$	✓	✓	$0.472$	$0$	$0.315893$	Character $\chi_{1125}(286, \cdot)$
1-1125-1125.302-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.302	$0$	✓	✓	$0.445$	$0$	$1.27429$	Character $\chi_{1125}(302, \cdot)$
1-1125-1125.304-r0-0-0	$5.22$	$5.22$	$1$	$3^{2} \cdot 5^{3}$	1125.304	$0$	✓	✓	$-0.123$	$0$	$0.993858$	Character $\chi_{1125}(304, \cdot)$

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 $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 320 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.