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 945 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1081-1081.10-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.10	$0$	✓	✓			$-0.421$	$0$	$0.362979$	Character $\chi_{1081}(10, \cdot)$
1-1081-1081.100-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.100	$0$	✓	✓			$0.0332$	$0$	$1.09218$	Character $\chi_{1081}(100, \cdot)$
1-1081-1081.1000-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1000	$0$	✓	✓			$-0.0444$	$0$	$0.158021$	Character $\chi_{1081}(1000, \cdot)$
1-1081-1081.1001-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1001	$0$	✓	✓			$-0.0212$	$0$	$0.536650$	Character $\chi_{1081}(1001, \cdot)$
1-1081-1081.1005-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1005	$0$	✓	✓			$0.164$	$0$	$1.12898$	Character $\chi_{1081}(1005, \cdot)$
1-1081-1081.1006-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1006	$0$	✓	✓			$0.248$	$0$	$0.759586$	Character $\chi_{1081}(1006, \cdot)$
1-1081-1081.1009-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1009	$0$	✓	✓			$-0.0632$	$0$	$0.647379$	Character $\chi_{1081}(1009, \cdot)$
1-1081-1081.101-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.101	$0$	✓	✓			$0.304$	$0$	$1.33718$	Character $\chi_{1081}(101, \cdot)$
1-1081-1081.1010-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1010	$0$	✓	✓			$-0.388$	$0$	$0.201549$	Character $\chi_{1081}(1010, \cdot)$
1-1081-1081.1014-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1014	$0$	✓	✓			$-0.0970$	$0$	$0.502667$	Character $\chi_{1081}(1014, \cdot)$
1-1081-1081.1015-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1015	$0$	✓	✓			$0.449$	$0$	$2.22948$	Character $\chi_{1081}(1015, \cdot)$
1-1081-1081.1017-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1017	$0$	✓	✓			$-0.121$	$0$	$0.834946$	Character $\chi_{1081}(1017, \cdot)$
1-1081-1081.1021-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1021	$0$	✓	✓			$-0.442$	$0$	$1.96047$	Character $\chi_{1081}(1021, \cdot)$
1-1081-1081.1022-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1022	$0$	✓	✓			$0.290$	$0$	$0.904655$	Character $\chi_{1081}(1022, \cdot)$
1-1081-1081.1024-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1024	$0$	✓	✓			$-0.446$	$0$	$0.253344$	Character $\chi_{1081}(1024, \cdot)$
1-1081-1081.1026-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1026	$0$	✓	✓			$-0.484$	$0$	$0.319982$	Character $\chi_{1081}(1026, \cdot)$
1-1081-1081.1027-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1027	$0$	✓	✓			$0.322$	$0$	$1.67011$	Character $\chi_{1081}(1027, \cdot)$
1-1081-1081.1031-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1031	$0$	✓	✓			$-0.343$	$0$	$0.297040$	Character $\chi_{1081}(1031, \cdot)$
1-1081-1081.1032-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1032	$0$	✓	✓			$0.130$	$0$	$1.00918$	Character $\chi_{1081}(1032, \cdot)$
1-1081-1081.1033-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1033	$0$	✓	✓			$0.489$	$0$	$1.33714$	Character $\chi_{1081}(1033, \cdot)$
1-1081-1081.1037-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1037	$0$	✓	✓			$0.0454$	$0$	$1.03963$	Character $\chi_{1081}(1037, \cdot)$
1-1081-1081.1038-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1038	$0$	✓	✓			$-0.272$	$0$	$0.311770$	Character $\chi_{1081}(1038, \cdot)$
1-1081-1081.1041-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1041	$0$	✓	✓			$0.243$	$0$	$1.20316$	Character $\chi_{1081}(1041, \cdot)$
1-1081-1081.1043-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1043	$0$	✓	✓			$0.374$	$0$	$1.43849$	Character $\chi_{1081}(1043, \cdot)$
1-1081-1081.1045-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1045	$0$	✓	✓			$-0.462$	$0$	$2.32412$	Character $\chi_{1081}(1045, \cdot)$
1-1081-1081.1048-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1048	$0$	✓	✓			$0.464$	$0$	$0.801934$	Character $\chi_{1081}(1048, \cdot)$
1-1081-1081.1049-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1049	$0$	✓	✓			$0.289$	$0$	$0.821345$	Character $\chi_{1081}(1049, \cdot)$
1-1081-1081.1051-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1051	$0$	✓	✓			$-0.295$	$0$	$1.16688$	Character $\chi_{1081}(1051, \cdot)$
1-1081-1081.1054-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1054	$0$	✓	✓			$0.358$	$0$	$0.250955$	Character $\chi_{1081}(1054, \cdot)$
1-1081-1081.1056-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1056	$0$	✓	✓			$0.174$	$0$	$1.36222$	Character $\chi_{1081}(1056, \cdot)$
1-1081-1081.1057-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1057	$0$	✓	✓			$0.121$	$0$	$1.53411$	Character $\chi_{1081}(1057, \cdot)$
1-1081-1081.1061-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1061	$0$	✓	✓			$0.481$	$0$	$0.547004$	Character $\chi_{1081}(1061, \cdot)$
1-1081-1081.1062-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1062	$0$	✓	✓			$-0.275$	$0$	$0.875247$	Character $\chi_{1081}(1062, \cdot)$
1-1081-1081.1063-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1063	$0$	✓	✓			$-0.419$	$0$	$0.854255$	Character $\chi_{1081}(1063, \cdot)$
1-1081-1081.1065-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1065	$0$	✓	✓			$-0.112$	$0$	$1.16870$	Character $\chi_{1081}(1065, \cdot)$
1-1081-1081.1066-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1066	$0$	✓	✓			$0.224$	$0$	$1.41115$	Character $\chi_{1081}(1066, \cdot)$
1-1081-1081.1069-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1069	$0$	✓	✓			$0.410$	$0$	$0.384831$	Character $\chi_{1081}(1069, \cdot)$
1-1081-1081.107-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.107	$0$	✓	✓			$0.192$	$0$	$1.73665$	Character $\chi_{1081}(107, \cdot)$
1-1081-1081.1070-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1070	$0$	✓	✓			$-0.190$	$0$	$0.699161$	Character $\chi_{1081}(1070, \cdot)$
1-1081-1081.1071-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1071	$0$	✓	✓			$0.0394$	$0$	$0.827796$	Character $\chi_{1081}(1071, \cdot)$
1-1081-1081.1072-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1072	$0$	✓	✓			$0.0671$	$0$	$0.951815$	Character $\chi_{1081}(1072, \cdot)$
1-1081-1081.1073-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1073	$0$	✓	✓			$0.288$	$0$	$1.43772$	Character $\chi_{1081}(1073, \cdot)$
1-1081-1081.1075-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1075	$0$	✓	✓			$-0.474$	$0$	$0.128397$	Character $\chi_{1081}(1075, \cdot)$
1-1081-1081.1076-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1076	$0$	✓	✓			$0.389$	$0$	$1.59712$	Character $\chi_{1081}(1076, \cdot)$
1-1081-1081.1077-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1077	$0$	✓	✓			$0.0335$	$0$	$1.09937$	Character $\chi_{1081}(1077, \cdot)$
1-1081-1081.1078-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1078	$0$	✓	✓			$-0.0252$	$0$	$0.0454324$	Character $\chi_{1081}(1078, \cdot)$
1-1081-1081.1079-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1079	$0$	✓	✓			$0.368$	$0$	$0.725425$	Character $\chi_{1081}(1079, \cdot)$
1-1081-1081.108-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.108	$0$	✓	✓			$-0.0394$	$0$	$0.517686$	Character $\chi_{1081}(108, \cdot)$
1-1081-1081.1080-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.1080	$0$	✓	✓	✓	✓	$0$	$0$	$1.53024$	Character $\chi_{1081}(1080, \cdot)$
1-1081-1081.109-r0-0-0	$5.02$	$5.02$	$1$	$23 \cdot 47$	1081.109	$0$	✓	✓			$0.381$	$0$	$0.110339$	Character $\chi_{1081}(109, \cdot)$

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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.