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 720 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1375-1375.1003-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1003	$0$	✓	✓	$0.324$	$0$	$0.805683$	Character $\chi_{1375}(1003, \cdot)$
1-1375-1375.1004-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1004	$0$	✓	✓	$0.124$	$0$	$0.970191$	Character $\chi_{1375}(1004, \cdot)$
1-1375-1375.1006-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1006	$0$	✓	✓	$0.114$	$0$	$0.764446$	Character $\chi_{1375}(1006, \cdot)$
1-1375-1375.1008-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1008	$0$	✓	✓	$0.160$	$0$	$0.0477219$	Character $\chi_{1375}(1008, \cdot)$
1-1375-1375.1016-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1016	$0$	✓	✓	$-0.200$	$0$	$0.536822$	Character $\chi_{1375}(1016, \cdot)$
1-1375-1375.1021-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1021	$0$	✓	✓	$-0.114$	$0$	$0.166780$	Character $\chi_{1375}(1021, \cdot)$
1-1375-1375.1022-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1022	$0$	✓	✓	$-0.121$	$0$	$0.222229$	Character $\chi_{1375}(1022, \cdot)$
1-1375-1375.1033-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1033	$0$	✓	✓	$-0.0780$	$0$	$0.800191$	Character $\chi_{1375}(1033, \cdot)$
1-1375-1375.1039-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1039	$0$	✓	✓	$0.146$	$0$	$1.28225$	Character $\chi_{1375}(1039, \cdot)$
1-1375-1375.104-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.104	$0$	✓	✓	$-0.229$	$0$	$0.633574$	Character $\chi_{1375}(104, \cdot)$
1-1375-1375.1042-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1042	$0$	✓	✓	$-0.116$	$0$	$0.469055$	Character $\chi_{1375}(1042, \cdot)$
1-1375-1375.1047-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1047	$0$	✓	✓	$0.124$	$0$	$1.09813$	Character $\chi_{1375}(1047, \cdot)$
1-1375-1375.1052-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1052	$0$	✓	✓	$-0.457$	$0$	$1.36840$	Character $\chi_{1375}(1052, \cdot)$
1-1375-1375.1053-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1053	$0$	✓	✓	$0.0390$	$0$	$1.42018$	Character $\chi_{1375}(1053, \cdot)$
1-1375-1375.1054-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1054	$0$	✓	✓	$-0.314$	$0$	$0.534377$	Character $\chi_{1375}(1054, \cdot)$
1-1375-1375.1058-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1058	$0$	✓	✓	$-0.231$	$0$	$0.416537$	Character $\chi_{1375}(1058, \cdot)$
1-1375-1375.1059-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1059	$0$	✓	✓	$0.492$	$0$	$1.51826$	Character $\chi_{1375}(1059, \cdot)$
1-1375-1375.1061-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1061	$0$	✓	✓	$0.246$	$0$	$1.80878$	Character $\chi_{1375}(1061, \cdot)$
1-1375-1375.1062-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1062	$0$	✓	✓	$-0.0505$	$0$	$0.804560$	Character $\chi_{1375}(1062, \cdot)$
1-1375-1375.1063-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1063	$0$	✓	✓	$-0.265$	$0$	$0.549182$	Character $\chi_{1375}(1063, \cdot)$
1-1375-1375.1071-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1071	$0$	✓	✓	$0.131$	$0$	$1.27727$	Character $\chi_{1375}(1071, \cdot)$
1-1375-1375.1073-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1073	$0$	✓	✓	$-0.242$	$0$	$0.675989$	Character $\chi_{1375}(1073, \cdot)$
1-1375-1375.1077-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1077	$0$	✓	✓	$-0.295$	$0$	$2.08212$	Character $\chi_{1375}(1077, \cdot)$
1-1375-1375.1081-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1081	$0$	✓	✓	$-0.131$	$0$	$0.163055$	Character $\chi_{1375}(1081, \cdot)$
1-1375-1375.1088-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1088	$0$	✓	✓	$0.295$	$0$	$0.771263$	Character $\chi_{1375}(1088, \cdot)$
1-1375-1375.1094-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1094	$0$	✓	✓	$0.314$	$0$	$1.31675$	Character $\chi_{1375}(1094, \cdot)$
1-1375-1375.1097-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1097	$0$	✓	✓	$0.439$	$0$	$0.234726$	Character $\chi_{1375}(1097, \cdot)$
1-1375-1375.1102-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1102	$0$	✓	✓	$-0.449$	$0$	$0.435761$	Character $\chi_{1375}(1102, \cdot)$
1-1375-1375.1104-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1104	$0$	✓	✓	$0.331$	$0$	$1.31148$	Character $\chi_{1375}(1104, \cdot)$
1-1375-1375.1108-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1108	$0$	✓	✓	$0.0830$	$0$	$1.09252$	Character $\chi_{1375}(1108, \cdot)$
1-1375-1375.1109-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1109	$0$	✓	✓	$-0.146$	$0$	$0.315385$	Character $\chi_{1375}(1109, \cdot)$
1-1375-1375.1113-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1113	$0$	✓	✓	$-0.257$	$0$	$1.15083$	Character $\chi_{1375}(1113, \cdot)$
1-1375-1375.1114-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1114	$0$	✓	✓	$0.300$	$0$	$1.35555$	Character $\chi_{1375}(1114, \cdot)$
1-1375-1375.1116-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1116	$0$	✓	✓	$0.238$	$0$	$1.55303$	Character $\chi_{1375}(1116, \cdot)$
1-1375-1375.1117-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1117	$0$	✓	✓	$-0.124$	$0$	$0.602334$	Character $\chi_{1375}(1117, \cdot)$
1-1375-1375.112-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.112	$0$	✓	✓	$0.0425$	$0$	$1.37009$	Character $\chi_{1375}(112, \cdot)$
1-1375-1375.1128-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1128	$0$	✓	✓	$-0.168$	$0$	$0.935811$	Character $\chi_{1375}(1128, \cdot)$
1-1375-1375.1131-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1131	$0$	✓	✓	$0.229$	$0$	$1.15132$	Character $\chi_{1375}(1131, \cdot)$
1-1375-1375.1136-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1136	$0$	✓	✓	$-0.199$	$0$	$0.569460$	Character $\chi_{1375}(1136, \cdot)$
1-1375-1375.114-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.114	$0$	✓	✓	$0.307$	$0$	$0.794973$	Character $\chi_{1375}(114, \cdot)$
1-1375-1375.1152-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1152	$0$	✓	✓	$-0.334$	$0$	$0.581443$	Character $\chi_{1375}(1152, \cdot)$
1-1375-1375.1159-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1159	$0$	✓	✓	$-0.300$	$0$	$0.911261$	Character $\chi_{1375}(1159, \cdot)$
1-1375-1375.1162-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1162	$0$	✓	✓	$-0.165$	$0$	$0.829702$	Character $\chi_{1375}(1162, \cdot)$
1-1375-1375.1163-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1163	$0$	✓	✓	$-0.342$	$0$	$0.355406$	Character $\chi_{1375}(1163, \cdot)$
1-1375-1375.1164-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1164	$0$	✓	✓	$0.261$	$0$	$1.71774$	Character $\chi_{1375}(1164, \cdot)$
1-1375-1375.1169-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1169	$0$	✓	✓	$-0.131$	$0$	$1.09818$	Character $\chi_{1375}(1169, \cdot)$
1-1375-1375.117-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.117	$0$	✓	✓	$0.160$	$0$	$0.538991$	Character $\chi_{1375}(117, \cdot)$
1-1375-1375.1171-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1171	$0$	✓	✓	$-0.229$	$0$	$0.786501$	Character $\chi_{1375}(1171, \cdot)$
1-1375-1375.1172-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1172	$0$	✓	✓	$-0.368$	$0$	$0.921978$	Character $\chi_{1375}(1172, \cdot)$
1-1375-1375.1173-r0-0-0	$6.38$	$6.38$	$1$	$5^{3} \cdot 11$	1375.1173	$0$	✓	✓	$0.242$	$0$	$1.26784$	Character $\chi_{1375}(1173, \cdot)$

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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.