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
1-2057-2057.1006-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1006	$1$	✓	✓	$0.422$	$0$	$1.14864$	Character $\chi_{2057}(1006, \cdot)$
1-2057-2057.1007-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1007	$1$	✓	✓	$-0.234$	$0$	$0.172019$	Character $\chi_{2057}(1007, \cdot)$
1-2057-2057.101-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.101	$1$	✓	✓	$-0.221$	$0$	$0.121733$	Character $\chi_{2057}(101, \cdot)$
1-2057-2057.1010-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1010	$1$	✓	✓	$0.475$	$0$	$0.0113064$	Character $\chi_{2057}(1010, \cdot)$
1-2057-2057.1011-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1011	$1$	✓	✓	$-0.324$	$0$	$0.445740$	Character $\chi_{2057}(1011, \cdot)$
1-2057-2057.1013-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1013	$1$	✓	✓	$0.236$	$0$	$1.34882$	Character $\chi_{2057}(1013, \cdot)$
1-2057-2057.1015-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1015	$1$	✓	✓	$-0.120$	$0$	$1.60478$	Character $\chi_{2057}(1015, \cdot)$
1-2057-2057.1017-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1017	$1$	✓	✓	$0.215$	$0$	$1.38485$	Character $\chi_{2057}(1017, \cdot)$
1-2057-2057.1018-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1018	$1$	✓	✓	$-0.381$	$0$	$0.152600$	Character $\chi_{2057}(1018, \cdot)$
1-2057-2057.1019-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1019	$1$	✓	✓	$0.269$	$0$	$0.574319$	Character $\chi_{2057}(1019, \cdot)$
1-2057-2057.1022-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1022	$1$	✓	✓	$-0.411$	$0$	$0.553426$	Character $\chi_{2057}(1022, \cdot)$
1-2057-2057.1026-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1026	$1$	✓	✓	$-0.336$	$0$	$0.0360390$	Character $\chi_{2057}(1026, \cdot)$
1-2057-2057.1027-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1027	$1$	✓	✓	$-0.382$	$0$	$0.342710$	Character $\chi_{2057}(1027, \cdot)$
1-2057-2057.1029-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1029	$1$	✓	✓	$0.411$	$0$	$1.05584$	Character $\chi_{2057}(1029, \cdot)$
1-2057-2057.1032-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1032	$1$	✓	✓	$0.0317$	$0$	$0.571074$	Character $\chi_{2057}(1032, \cdot)$
1-2057-2057.1033-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1033	$1$	✓	✓	$0.423$	$0$	$1.12503$	Character $\chi_{2057}(1033, \cdot)$
1-2057-2057.1036-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1036	$1$	✓	✓	$0.292$	$0$	$0.715387$	Character $\chi_{2057}(1036, \cdot)$
1-2057-2057.1041-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1041	$1$	✓	✓	$-0.337$	$0$	$0.464499$	Character $\chi_{2057}(1041, \cdot)$
1-2057-2057.1043-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1043	$1$	✓	✓	$0.339$	$0$	$0.547891$	Character $\chi_{2057}(1043, \cdot)$
1-2057-2057.1048-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1048	$1$	✓	✓	$-0.131$	$0$	$0.960223$	Character $\chi_{2057}(1048, \cdot)$
1-2057-2057.1052-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1052	$1$	✓	✓	$-0.322$	$0$	$1.84718$	Character $\chi_{2057}(1052, \cdot)$
1-2057-2057.1053-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1053	$1$	✓	✓	$-0.189$	$0$	$0.144635$	Character $\chi_{2057}(1053, \cdot)$
1-2057-2057.1057-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1057	$1$	✓	✓	$0.498$	$0$	$1.05108$	Character $\chi_{2057}(1057, \cdot)$
1-2057-2057.1058-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1058	$1$	✓	✓	$-0.0548$	$0$	$0.524333$	Character $\chi_{2057}(1058, \cdot)$
1-2057-2057.1059-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1059	$1$	✓	✓	$-0.0490$	$0$	$0.161399$	Character $\chi_{2057}(1059, \cdot)$
1-2057-2057.106-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.106	$1$	✓	✓	$-0.207$	$0$	$0.0847629$	Character $\chi_{2057}(106, \cdot)$
1-2057-2057.1060-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1060	$1$	✓	✓	$0.301$	$0$	$0.0329916$	Character $\chi_{2057}(1060, \cdot)$
1-2057-2057.1061-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1061	$1$	✓	✓	$-0.271$	$0$	$0.285573$	Character $\chi_{2057}(1061, \cdot)$
1-2057-2057.1063-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1063	$1$	✓	✓	$0.395$	$0$	$0.721254$	Character $\chi_{2057}(1063, \cdot)$
1-2057-2057.1065-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1065	$1$	✓	✓	$-0.389$	$0$	$0.992296$	Character $\chi_{2057}(1065, \cdot)$
1-2057-2057.1068-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1068	$1$	✓	✓	$0.445$	$0$	$0.863578$	Character $\chi_{2057}(1068, \cdot)$
1-2057-2057.1069-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1069	$1$	✓	✓	$0.266$	$0$	$0.729602$	Character $\chi_{2057}(1069, \cdot)$
1-2057-2057.1073-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1073	$1$	✓	✓	$0.0746$	$0$	$0.914074$	Character $\chi_{2057}(1073, \cdot)$
1-2057-2057.1075-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1075	$1$	✓	✓	$-0.407$	$0$	$1.75883$	Character $\chi_{2057}(1075, \cdot)$
1-2057-2057.1076-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1076	$1$	✓	✓	$0.271$	$0$	$0.946374$	Character $\chi_{2057}(1076, \cdot)$
1-2057-2057.108-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.108	$1$	✓	✓	$-0.419$	$0$	$0.185397$	Character $\chi_{2057}(108, \cdot)$
1-2057-2057.1081-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1081	$1$	✓	✓	$0.462$	$0$	$1.03655$	Character $\chi_{2057}(1081, \cdot)$
1-2057-2057.1082-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1082	$1$	✓	✓	$-0.359$	$0$	$0.666210$	Character $\chi_{2057}(1082, \cdot)$
1-2057-2057.1083-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1083	$1$	✓	✓	$-0.178$	$0$	$0.813570$	Character $\chi_{2057}(1083, \cdot)$
1-2057-2057.1084-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1084	$1$	✓	✓	$-0.318$	$0$	$0.404310$	Character $\chi_{2057}(1084, \cdot)$
1-2057-2057.1093-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1093	$1$	✓	✓	$-0.128$	$0$	$0.734425$	Character $\chi_{2057}(1093, \cdot)$
1-2057-2057.1094-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1094	$1$	✓	✓	$0.00713$	$0$	$0.719266$	Character $\chi_{2057}(1094, \cdot)$
1-2057-2057.1096-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1096	$1$	✓	✓	$0.00506$	$0$	$0.765466$	Character $\chi_{2057}(1096, \cdot)$
1-2057-2057.1097-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1097	$1$	✓	✓	$0.195$	$0$	$0.832398$	Character $\chi_{2057}(1097, \cdot)$
1-2057-2057.1107-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1107	$1$	✓	✓	$-0.411$	$0$	$0.497086$	Character $\chi_{2057}(1107, \cdot)$
1-2057-2057.1112-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1112	$1$	✓	✓	$0.245$	$0$	$0.748923$	Character $\chi_{2057}(1112, \cdot)$
1-2057-2057.1113-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1113	$1$	✓	✓	$0.475$	$0$	$0.813344$	Character $\chi_{2057}(1113, \cdot)$
1-2057-2057.1115-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1115	$1$	✓	✓	$-0.337$	$0$	$0.163781$	Character $\chi_{2057}(1115, \cdot)$
1-2057-2057.1118-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1118	$1$	✓	✓	$-0.0245$	$0$	$0.0183637$	Character $\chi_{2057}(1118, \cdot)$
1-2057-2057.1121-r1-0-0	$221.$	$221.$	$1$	$11^{2} \cdot 17$	2057.1121	$1$	✓	✓	$0.469$	$0$	$0.0536786$	Character $\chi_{2057}(1121, \cdot)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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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.