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 2345 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2347-2347.10-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.10	$0$	✓	✓	$-0.158$	$0$	$0.0466761$	Character $\chi_{2347}(10, \cdot)$
1-2347-2347.100-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.100	$0$	✓	✓	$-0.355$	$0$	$0.334718$	Character $\chi_{2347}(100, \cdot)$
1-2347-2347.1000-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1000	$0$	✓	✓	$0.0800$	$0$	$1.41969$	Character $\chi_{2347}(1000, \cdot)$
1-2347-2347.1005-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1005	$0$	✓	✓	$-0.232$	$0$	$1.07712$	Character $\chi_{2347}(1005, \cdot)$
1-2347-2347.1007-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1007	$0$	✓	✓	$0.459$	$0$	$0.929806$	Character $\chi_{2347}(1007, \cdot)$
1-2347-2347.101-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.101	$0$	✓	✓	$-0.0364$	$0$	$0.680006$	Character $\chi_{2347}(101, \cdot)$
1-2347-2347.1010-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1010	$0$	✓	✓	$0.0444$	$0$	$0.466837$	Character $\chi_{2347}(1010, \cdot)$
1-2347-2347.1012-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1012	$0$	✓	✓	$0.103$	$0$	$1.26049$	Character $\chi_{2347}(1012, \cdot)$
1-2347-2347.1013-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1013	$0$	✓	✓	$0.352$	$0$	$1.36239$	Character $\chi_{2347}(1013, \cdot)$
1-2347-2347.1014-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1014	$0$	✓	✓	$-0.170$	$0$	$0.0166004$	Character $\chi_{2347}(1014, \cdot)$
1-2347-2347.1016-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1016	$0$	✓	✓	$0.428$	$0$	$0.437642$	Character $\chi_{2347}(1016, \cdot)$
1-2347-2347.1017-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1017	$0$	✓	✓	$0.165$	$0$	$0.605229$	Character $\chi_{2347}(1017, \cdot)$
1-2347-2347.1018-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1018	$0$	✓	✓	$-0.476$	$0$	$1.24374$	Character $\chi_{2347}(1018, \cdot)$
1-2347-2347.1019-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1019	$0$	✓	✓	$0.278$	$0$	$1.40044$	Character $\chi_{2347}(1019, \cdot)$
1-2347-2347.102-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.102	$0$	✓	✓	$-0.396$	$0$	$0.803982$	Character $\chi_{2347}(102, \cdot)$
1-2347-2347.1020-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1020	$0$	✓	✓	$-0.273$	$0$	$0.393575$	Character $\chi_{2347}(1020, \cdot)$
1-2347-2347.1021-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1021	$0$	✓	✓	$-0.429$	$0$	$1.22834$	Character $\chi_{2347}(1021, \cdot)$
1-2347-2347.1023-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1023	$0$	✓	✓	$-0.285$	$0$	$2.23389$	Character $\chi_{2347}(1023, \cdot)$
1-2347-2347.1024-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1024	$0$	✓	✓	$-0.431$	$0$	$0.416737$	Character $\chi_{2347}(1024, \cdot)$
1-2347-2347.1025-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1025	$0$	✓	✓	$0.309$	$0$	$0.0714428$	Character $\chi_{2347}(1025, \cdot)$
1-2347-2347.1026-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1026	$0$	✓	✓	$0.387$	$0$	$1.69404$	Character $\chi_{2347}(1026, \cdot)$
1-2347-2347.1028-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1028	$0$	✓	✓	$-0.0613$	$0$	$0.411590$	Character $\chi_{2347}(1028, \cdot)$
1-2347-2347.1029-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1029	$0$	✓	✓	$-0.0910$	$0$	$1.75993$	Character $\chi_{2347}(1029, \cdot)$
1-2347-2347.1031-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1031	$0$	✓	✓	$-0.0914$	$0$	$0.495198$	Character $\chi_{2347}(1031, \cdot)$
1-2347-2347.1034-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1034	$0$	✓	✓	$0.0337$	$0$	$0.883153$	Character $\chi_{2347}(1034, \cdot)$
1-2347-2347.1035-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1035	$0$	✓	✓	$0.0183$	$0$	$0.635171$	Character $\chi_{2347}(1035, \cdot)$
1-2347-2347.104-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.104	$0$	✓	✓	$-0.446$	$0$	$1.55544$	Character $\chi_{2347}(104, \cdot)$
1-2347-2347.1040-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1040	$0$	✓	✓	$0.372$	$0$	$0.0714414$	Character $\chi_{2347}(1040, \cdot)$
1-2347-2347.1045-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1045	$0$	✓	✓	$-0.361$	$0$	$0.411067$	Character $\chi_{2347}(1045, \cdot)$
1-2347-2347.1046-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1046	$0$	✓	✓	$0.190$	$0$	$0.791653$	Character $\chi_{2347}(1046, \cdot)$
1-2347-2347.1047-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1047	$0$	✓	✓	$-0.274$	$0$	$1.97153$	Character $\chi_{2347}(1047, \cdot)$
1-2347-2347.1049-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1049	$0$	✓	✓	$0.162$	$0$	$0.766783$	Character $\chi_{2347}(1049, \cdot)$
1-2347-2347.1059-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1059	$0$	✓	✓	$-0.353$	$0$	$0.174193$	Character $\chi_{2347}(1059, \cdot)$
1-2347-2347.1061-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1061	$0$	✓	✓	$-0.0618$	$0$	$1.16306$	Character $\chi_{2347}(1061, \cdot)$
1-2347-2347.1062-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1062	$0$	✓	✓	$-0.0450$	$0$	$1.32690$	Character $\chi_{2347}(1062, \cdot)$
1-2347-2347.1064-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1064	$0$	✓	✓	$-0.349$	$0$	$0.261002$	Character $\chi_{2347}(1064, \cdot)$
1-2347-2347.1066-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1066	$0$	✓	✓	$0.199$	$0$	$1.33487$	Character $\chi_{2347}(1066, \cdot)$
1-2347-2347.1067-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1067	$0$	✓	✓	$-0.255$	$0$	$0.987740$	Character $\chi_{2347}(1067, \cdot)$
1-2347-2347.1068-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1068	$0$	✓	✓	$0.249$	$0$	$0.477267$	Character $\chi_{2347}(1068, \cdot)$
1-2347-2347.1072-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1072	$0$	✓	✓	$-0.369$	$0$	$0.656954$	Character $\chi_{2347}(1072, \cdot)$
1-2347-2347.1077-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1077	$0$	✓	✓	$-0.246$	$0$	$1.58686$	Character $\chi_{2347}(1077, \cdot)$
1-2347-2347.1078-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1078	$0$	✓	✓	$0.182$	$0$	$1.41004$	Character $\chi_{2347}(1078, \cdot)$
1-2347-2347.1079-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1079	$0$	✓	✓	$-0.155$	$0$	$0.831594$	Character $\chi_{2347}(1079, \cdot)$
1-2347-2347.1082-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1082	$0$	✓	✓	$-0.387$	$0$	$0.292966$	Character $\chi_{2347}(1082, \cdot)$
1-2347-2347.1085-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1085	$0$	✓	✓	$0.429$	$0$	$0.0546558$	Character $\chi_{2347}(1085, \cdot)$
1-2347-2347.1088-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1088	$0$	✓	✓	$0.0367$	$0$	$0.661948$	Character $\chi_{2347}(1088, \cdot)$
1-2347-2347.1089-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1089	$0$	✓	✓	$-0.129$	$0$	$0.680588$	Character $\chi_{2347}(1089, \cdot)$
1-2347-2347.1093-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1093	$0$	✓	✓	$-0.0183$	$0$	$1.12672$	Character $\chi_{2347}(1093, \cdot)$
1-2347-2347.1097-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1097	$0$	✓	✓	$-0.124$	$0$	$0.570834$	Character $\chi_{2347}(1097, \cdot)$
1-2347-2347.1098-r0-0-0	$10.8$	$10.8$	$1$	$2347$	2347.1098	$0$	✓	✓	$-0.0367$	$0$	$0.888910$	Character $\chi_{2347}(1098, \cdot)$

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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.