LMFDB - L-function search results

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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

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Results (1-50 of 750 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2057-2057.10-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.10	$0$	✓	✓	$0.138$	$0$	$0.428099$	Character $\chi_{2057}(10, \cdot)$
1-2057-2057.100-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.100	$0$	✓	✓	$0.330$	$0$	$1.01094$	Character $\chi_{2057}(100, \cdot)$
1-2057-2057.1000-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1000	$0$	✓	✓	$-0.428$	$0$	$0.371514$	Character $\chi_{2057}(1000, \cdot)$
1-2057-2057.1002-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1002	$0$	✓	✓	$0.280$	$0$	$0.946110$	Character $\chi_{2057}(1002, \cdot)$
1-2057-2057.1005-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1005	$0$	✓	✓	$-0.192$	$0$	$0.547630$	Character $\chi_{2057}(1005, \cdot)$
1-2057-2057.1009-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1009	$0$	✓	✓	$-0.0585$	$0$	$0.292634$	Character $\chi_{2057}(1009, \cdot)$
1-2057-2057.1014-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1014	$0$	✓	✓	$-0.233$	$0$	$0.518211$	Character $\chi_{2057}(1014, \cdot)$
1-2057-2057.1016-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1016	$0$	✓	✓	$0.201$	$0$	$0.957502$	Character $\chi_{2057}(1016, \cdot)$
1-2057-2057.1024-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1024	$0$	✓	✓	$-0.115$	$0$	$0.792692$	Character $\chi_{2057}(1024, \cdot)$
1-2057-2057.1025-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1025	$0$	✓	✓	$0.342$	$0$	$1.74309$	Character $\chi_{2057}(1025, \cdot)$
1-2057-2057.1028-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1028	$0$	✓	✓	$0.0410$	$0$	$0.497365$	Character $\chi_{2057}(1028, \cdot)$
1-2057-2057.1030-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1030	$0$	✓	✓	$-0.0718$	$0$	$0.527610$	Character $\chi_{2057}(1030, \cdot)$
1-2057-2057.1031-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1031	$0$	✓	✓	$-0.409$	$0$	$0.512473$	Character $\chi_{2057}(1031, \cdot)$
1-2057-2057.1035-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1035	$0$	✓	✓	$-0.0410$	$0$	$2.06426$	Character $\chi_{2057}(1035, \cdot)$
1-2057-2057.1039-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1039	$0$	✓	✓	$0.248$	$0$	$1.06297$	Character $\chi_{2057}(1039, \cdot)$
1-2057-2057.104-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.104	$0$	✓	✓	$-0.313$	$0$	$1.81190$	Character $\chi_{2057}(104, \cdot)$
1-2057-2057.1040-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1040	$0$	✓	✓	$-0.357$	$0$	$0.137426$	Character $\chi_{2057}(1040, \cdot)$
1-2057-2057.1042-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1042	$0$	✓	✓	$0.190$	$0$	$0.0455632$	Character $\chi_{2057}(1042, \cdot)$
1-2057-2057.1044-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1044	$0$	✓	✓	$0.425$	$0$	$0.133167$	Character $\chi_{2057}(1044, \cdot)$
1-2057-2057.1046-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1046	$0$	✓	✓	$0.0456$	$0$	$0.512735$	Character $\chi_{2057}(1046, \cdot)$
1-2057-2057.1047-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1047	$0$	✓	✓	$-0.213$	$0$	$0.702506$	Character $\chi_{2057}(1047, \cdot)$
1-2057-2057.105-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.105	$0$	✓	✓	$-0.0133$	$0$	$0.268910$	Character $\chi_{2057}(105, \cdot)$
1-2057-2057.1050-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1050	$0$	✓	✓	$-0.195$	$0$	$0.401440$	Character $\chi_{2057}(1050, \cdot)$
1-2057-2057.1051-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1051	$0$	✓	✓	$0.00425$	$0$	$0.653698$	Character $\chi_{2057}(1051, \cdot)$
1-2057-2057.1064-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1064	$0$	✓	✓	$-0.181$	$0$	$0.501532$	Character $\chi_{2057}(1064, \cdot)$
1-2057-2057.1066-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1066	$0$	✓	✓	$-0.242$	$0$	$0.726060$	Character $\chi_{2057}(1066, \cdot)$
1-2057-2057.107-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.107	$0$	✓	✓	$-0.351$	$0$	$0.812741$	Character $\chi_{2057}(107, \cdot)$
1-2057-2057.1070-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1070	$0$	✓	✓	$0.480$	$0$	$1.24174$	Character $\chi_{2057}(1070, \cdot)$
1-2057-2057.1074-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1074	$0$	✓	✓	$-0.283$	$0$	$0.465169$	Character $\chi_{2057}(1074, \cdot)$
1-2057-2057.1077-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1077	$0$	✓	✓	$-0.269$	$0$	$0.309292$	Character $\chi_{2057}(1077, \cdot)$
1-2057-2057.1079-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1079	$0$	✓	✓	$-0.248$	$0$	$0.883166$	Character $\chi_{2057}(1079, \cdot)$
1-2057-2057.1085-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1085	$0$	✓	✓	$0.313$	$0$	$0.981314$	Character $\chi_{2057}(1085, \cdot)$
1-2057-2057.1087-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1087	$0$	✓	✓	$0.471$	$0$	$1.32068$	Character $\chi_{2057}(1087, \cdot)$
1-2057-2057.109-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.109	$0$	✓	✓	$-0.400$	$0$	$0.905645$	Character $\chi_{2057}(109, \cdot)$
1-2057-2057.1091-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1091	$0$	✓	✓	$0.499$	$0$	$0.781311$	Character $\chi_{2057}(1091, \cdot)$
1-2057-2057.1095-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1095	$0$	✓	✓	$-0.190$	$0$	$0.374549$	Character $\chi_{2057}(1095, \cdot)$
1-2057-2057.1099-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1099	$0$	✓	✓	$-0.113$	$0$	$0.558256$	Character $\chi_{2057}(1099, \cdot)$
1-2057-2057.1101-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1101	$0$	✓	✓	$0.404$	$0$	$0.769690$	Character $\chi_{2057}(1101, \cdot)$
1-2057-2057.1102-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1102	$0$	✓	✓	$-0.286$	$0$	$0.727003$	Character $\chi_{2057}(1102, \cdot)$
1-2057-2057.1103-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1103	$0$	✓	✓	$0.474$	$0$	$1.07385$	Character $\chi_{2057}(1103, \cdot)$
1-2057-2057.1104-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1104	$0$	✓	✓	$0.186$	$0$	$0.869134$	Character $\chi_{2057}(1104, \cdot)$
1-2057-2057.1108-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1108	$0$	✓	✓	$0.0106$	$0$	$0.725766$	Character $\chi_{2057}(1108, \cdot)$
1-2057-2057.1109-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1109	$0$	✓	✓	$-0.115$	$0$	$0.458102$	Character $\chi_{2057}(1109, \cdot)$
1-2057-2057.111-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.111	$0$	✓	✓	$-0.127$	$0$	$0.938458$	Character $\chi_{2057}(111, \cdot)$
1-2057-2057.1110-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1110	$0$	✓	✓	$0.495$	$0$	$0.675816$	Character $\chi_{2057}(1110, \cdot)$
1-2057-2057.1114-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1114	$0$	✓	✓	$-0.448$	$0$	$1.55970$	Character $\chi_{2057}(1114, \cdot)$
1-2057-2057.1117-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1117	$0$	✓	✓	$0.240$	$0$	$1.13752$	Character $\chi_{2057}(1117, \cdot)$
1-2057-2057.1119-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1119	$0$	✓	✓	$-0.107$	$0$	$0.513696$	Character $\chi_{2057}(1119, \cdot)$
1-2057-2057.1120-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1120	$0$	✓	✓	$0.327$	$0$	$1.38948$	Character $\chi_{2057}(1120, \cdot)$
1-2057-2057.1126-r0-0-0	$9.55$	$9.55$	$1$	$11^{2} \cdot 17$	2057.1126	$0$	✓	✓	$-0.204$	$0$	$0.800962$	Character $\chi_{2057}(1126, \cdot)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.