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 1680 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2675-2675.1004-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1004	$0$	✓	✓	$0.357$	$0$	$1.33609$	Character $\chi_{2675}(1004, \cdot)$
1-2675-2675.1008-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1008	$0$	✓	✓	$-0.220$	$0$	$0.680037$	Character $\chi_{2675}(1008, \cdot)$
1-2675-2675.1011-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1011	$0$	✓	✓	$0.000730$	$0$	$0.793322$	Character $\chi_{2675}(1011, \cdot)$
1-2675-2675.1013-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1013	$0$	✓	✓	$-0.206$	$0$	$0.535368$	Character $\chi_{2675}(1013, \cdot)$
1-2675-2675.1016-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1016	$0$	✓	✓	$-0.432$	$0$	$0.648169$	Character $\chi_{2675}(1016, \cdot)$
1-2675-2675.1017-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1017	$0$	✓	✓	$-0.167$	$0$	$1.04076$	Character $\chi_{2675}(1017, \cdot)$
1-2675-2675.1019-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1019	$0$	✓	✓	$0.0910$	$0$	$0.822334$	Character $\chi_{2675}(1019, \cdot)$
1-2675-2675.1022-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1022	$0$	✓	✓	$-0.207$	$0$	$0.906299$	Character $\chi_{2675}(1022, \cdot)$
1-2675-2675.1023-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1023	$0$	✓	✓	$0.170$	$0$	$0.880149$	Character $\chi_{2675}(1023, \cdot)$
1-2675-2675.1028-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1028	$0$	✓	✓	$-0.00811$	$0$	$1.08129$	Character $\chi_{2675}(1028, \cdot)$
1-2675-2675.103-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.103	$0$	✓	✓	$-0.467$	$0$	$0.796903$	Character $\chi_{2675}(103, \cdot)$
1-2675-2675.1033-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1033	$0$	✓	✓	$0.0580$	$0$	$0.970286$	Character $\chi_{2675}(1033, \cdot)$
1-2675-2675.1037-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1037	$0$	✓	✓	$0.455$	$0$	$0.468883$	Character $\chi_{2675}(1037, \cdot)$
1-2675-2675.1039-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1039	$0$	✓	✓	$0.0912$	$0$	$1.33799$	Character $\chi_{2675}(1039, \cdot)$
1-2675-2675.1044-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1044	$0$	✓	✓	$-0.405$	$0$	$1.63458$	Character $\chi_{2675}(1044, \cdot)$
1-2675-2675.1046-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1046	$0$	✓	✓	$0.115$	$0$	$1.05286$	Character $\chi_{2675}(1046, \cdot)$
1-2675-2675.1047-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1047	$0$	✓	✓	$-0.420$	$0$	$0.665287$	Character $\chi_{2675}(1047, \cdot)$
1-2675-2675.1058-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1058	$0$	✓	✓	$0.314$	$0$	$0.727038$	Character $\chi_{2675}(1058, \cdot)$
1-2675-2675.1064-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1064	$0$	✓	✓	$-0.181$	$0$	$0.710360$	Character $\chi_{2675}(1064, \cdot)$
1-2675-2675.1067-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1067	$0$	✓	✓	$-0.268$	$0$	$0.919191$	Character $\chi_{2675}(1067, \cdot)$
1-2675-2675.1072-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1072	$0$	✓	✓	$-0.332$	$0$	$0.784435$	Character $\chi_{2675}(1072, \cdot)$
1-2675-2675.1077-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1077	$0$	✓	✓	$0.168$	$0$	$0.0189857$	Character $\chi_{2675}(1077, \cdot)$
1-2675-2675.1078-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1078	$0$	✓	✓	$-0.138$	$0$	$0.227800$	Character $\chi_{2675}(1078, \cdot)$
1-2675-2675.1079-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1079	$0$	✓	✓	$-0.112$	$0$	$0.145871$	Character $\chi_{2675}(1079, \cdot)$
1-2675-2675.1081-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1081	$0$	✓	✓	$0.473$	$0$	$1.28438$	Character $\chi_{2675}(1081, \cdot)$
1-2675-2675.1084-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1084	$0$	✓	✓	$0.391$	$0$	$1.57266$	Character $\chi_{2675}(1084, \cdot)$
1-2675-2675.1086-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1086	$0$	✓	✓	$0.110$	$0$	$0.774295$	Character $\chi_{2675}(1086, \cdot)$
1-2675-2675.1087-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1087	$0$	✓	✓	$-0.109$	$0$	$0.564958$	Character $\chi_{2675}(1087, \cdot)$
1-2675-2675.1088-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1088	$0$	✓	✓	$-0.277$	$0$	$0.433205$	Character $\chi_{2675}(1088, \cdot)$
1-2675-2675.1089-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1089	$0$	✓	✓	$0.0897$	$0$	$1.23737$	Character $\chi_{2675}(1089, \cdot)$
1-2675-2675.1092-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1092	$0$	✓	✓	$-0.0234$	$0$	$0.937948$	Character $\chi_{2675}(1092, \cdot)$
1-2675-2675.1098-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1098	$0$	✓	✓	$0.0181$	$0$	$1.14613$	Character $\chi_{2675}(1098, \cdot)$
1-2675-2675.11-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.11	$0$	✓	✓	$0.233$	$0$	$1.56777$	Character $\chi_{2675}(11, \cdot)$
1-2675-2675.1102-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1102	$0$	✓	✓	$-0.247$	$0$	$0.204720$	Character $\chi_{2675}(1102, \cdot)$
1-2675-2675.1104-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1104	$0$	✓	✓	$0.359$	$0$	$0.827933$	Character $\chi_{2675}(1104, \cdot)$
1-2675-2675.1106-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1106	$0$	✓	✓	$-0.294$	$0$	$0.522690$	Character $\chi_{2675}(1106, \cdot)$
1-2675-2675.1108-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1108	$0$	✓	✓	$-0.371$	$0$	$0.429784$	Character $\chi_{2675}(1108, \cdot)$
1-2675-2675.1109-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1109	$0$	✓	✓	$-0.233$	$0$	$0.180880$	Character $\chi_{2675}(1109, \cdot)$
1-2675-2675.111-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.111	$0$	✓	✓	$-0.420$	$0$	$0.832869$	Character $\chi_{2675}(111, \cdot)$
1-2675-2675.1111-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1111	$0$	✓	✓	$-0.462$	$0$	$1.63767$	Character $\chi_{2675}(1111, \cdot)$
1-2675-2675.1113-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1113	$0$	✓	✓	$0.347$	$0$	$0.149673$	Character $\chi_{2675}(1113, \cdot)$
1-2675-2675.1114-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1114	$0$	✓	✓	$-0.0863$	$0$	$0.816920$	Character $\chi_{2675}(1114, \cdot)$
1-2675-2675.1119-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1119	$0$	✓	✓	$0.384$	$0$	$1.56346$	Character $\chi_{2675}(1119, \cdot)$
1-2675-2675.112-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.112	$0$	✓	✓	$-0.287$	$0$	$0.438713$	Character $\chi_{2675}(112, \cdot)$
1-2675-2675.1128-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1128	$0$	✓	✓	$-0.323$	$0$	$0.118645$	Character $\chi_{2675}(1128, \cdot)$
1-2675-2675.113-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.113	$0$	✓	✓	$0.337$	$0$	$0.0171518$	Character $\chi_{2675}(113, \cdot)$
1-2675-2675.1131-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1131	$0$	✓	✓	$0.0456$	$0$	$0.630221$	Character $\chi_{2675}(1131, \cdot)$
1-2675-2675.1133-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1133	$0$	✓	✓	$-0.400$	$0$	$0.792753$	Character $\chi_{2675}(1133, \cdot)$
1-2675-2675.1134-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1134	$0$	✓	✓	$-0.364$	$0$	$0.835266$	Character $\chi_{2675}(1134, \cdot)$
1-2675-2675.1137-r0-0-0	$12.4$	$12.4$	$1$	$5^{2} \cdot 107$	2675.1137	$0$	✓	✓	$0.208$	$0$	$0.883212$	Character $\chi_{2675}(1137, \cdot)$

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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.