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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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-3895-3895.1002-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1002	$0$	✓	✓	$0.0229$	$0$	$1.16875$	Character $\chi_{3895}(1002, \cdot)$
1-3895-3895.1004-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1004	$0$	✓	✓	$-0.0833$	$0$	$0.920174$	Character $\chi_{3895}(1004, \cdot)$
1-3895-3895.1012-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1012	$0$	✓	✓	$-0.455$	$0$	$0.792854$	Character $\chi_{3895}(1012, \cdot)$
1-3895-3895.1013-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1013	$0$	✓	✓	$0.291$	$0$	$1.41669$	Character $\chi_{3895}(1013, \cdot)$
1-3895-3895.1017-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1017	$0$	✓	✓	$0.0946$	$0$	$0.0616124$	Character $\chi_{3895}(1017, \cdot)$
1-3895-3895.1018-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1018	$0$	✓	✓	$0.261$	$0$	$1.47014$	Character $\chi_{3895}(1018, \cdot)$
1-3895-3895.1019-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1019	$0$	✓	✓	$0.0857$	$0$	$1.05508$	Character $\chi_{3895}(1019, \cdot)$
1-3895-3895.1024-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1024	$0$	✓	✓	$-0.335$	$0$	$1.81329$	Character $\chi_{3895}(1024, \cdot)$
1-3895-3895.103-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.103	$0$	✓	✓	$0.0627$	$0$	$1.11263$	Character $\chi_{3895}(103, \cdot)$
1-3895-3895.1032-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1032	$0$	✓	✓	$-0.0922$	$0$	$0.359782$	Character $\chi_{3895}(1032, \cdot)$
1-3895-3895.1037-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1037	$0$	✓	✓	$0.135$	$0$	$0.826470$	Character $\chi_{3895}(1037, \cdot)$
1-3895-3895.1039-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1039	$0$	✓	✓	$0.303$	$0$	$1.10227$	Character $\chi_{3895}(1039, \cdot)$
1-3895-3895.1042-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1042	$0$	✓	✓	$-0.291$	$0$	$0.775013$	Character $\chi_{3895}(1042, \cdot)$
1-3895-3895.1044-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1044	$0$	✓	✓	$-0.302$	$0$	$0.449839$	Character $\chi_{3895}(1044, \cdot)$
1-3895-3895.1048-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1048	$0$	✓	✓	$0.124$	$0$	$1.15432$	Character $\chi_{3895}(1048, \cdot)$
1-3895-3895.1052-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1052	$0$	✓	✓	$-0.136$	$0$	$1.00590$	Character $\chi_{3895}(1052, \cdot)$
1-3895-3895.1057-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1057	$0$	✓	✓	$0.435$	$0$	$0.0148389$	Character $\chi_{3895}(1057, \cdot)$
1-3895-3895.1058-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1058	$0$	✓	✓	$0.164$	$0$	$0.0111703$	Character $\chi_{3895}(1058, \cdot)$
1-3895-3895.1059-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1059	$0$	✓	✓	$0.334$	$0$	$0.959378$	Character $\chi_{3895}(1059, \cdot)$
1-3895-3895.107-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.107	$0$	✓	✓	$0.109$	$0$	$1.17719$	Character $\chi_{3895}(107, \cdot)$
1-3895-3895.1073-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1073	$0$	✓	✓	$0.125$	$0$	$0.709806$	Character $\chi_{3895}(1073, \cdot)$
1-3895-3895.1079-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1079	$0$	✓	✓	$0.282$	$0$	$0.671163$	Character $\chi_{3895}(1079, \cdot)$
1-3895-3895.1082-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1082	$0$	✓	✓	$0.172$	$0$	$0.607404$	Character $\chi_{3895}(1082, \cdot)$
1-3895-3895.1088-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1088	$0$	✓	✓	$-0.245$	$0$	$0.344693$	Character $\chi_{3895}(1088, \cdot)$
1-3895-3895.1089-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1089	$0$	✓	✓	$0.321$	$0$	$1.42265$	Character $\chi_{3895}(1089, \cdot)$
1-3895-3895.109-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.109	$0$	✓	✓	$-0.171$	$0$	$0.0872362$	Character $\chi_{3895}(109, \cdot)$
1-3895-3895.1092-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1092	$0$	✓	✓	$0.464$	$0$	$0.438482$	Character $\chi_{3895}(1092, \cdot)$
1-3895-3895.1097-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1097	$0$	✓	✓	$-0.282$	$0$	$0.510390$	Character $\chi_{3895}(1097, \cdot)$
1-3895-3895.1098-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1098	$0$	✓	✓	$-0.160$	$0$	$1.18013$	Character $\chi_{3895}(1098, \cdot)$
1-3895-3895.1099-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1099	$0$	✓	✓	$0.144$	$0$	$0.567102$	Character $\chi_{3895}(1099, \cdot)$
1-3895-3895.1104-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1104	$0$	✓	✓	$0.270$	$0$	$0.808141$	Character $\chi_{3895}(1104, \cdot)$
1-3895-3895.1109-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1109	$0$	✓	✓	$-0.0858$	$0$	$0.834969$	Character $\chi_{3895}(1109, \cdot)$
1-3895-3895.1112-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1112	$0$	✓	✓	$-0.0777$	$0$	$0.194486$	Character $\chi_{3895}(1112, \cdot)$
1-3895-3895.1113-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1113	$0$	✓	✓	$-0.431$	$0$	$1.43812$	Character $\chi_{3895}(1113, \cdot)$
1-3895-3895.1114-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1114	$0$	✓	✓	$-0.221$	$0$	$0.951764$	Character $\chi_{3895}(1114, \cdot)$
1-3895-3895.1117-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1117	$0$	✓	✓	$-0.0260$	$0$	$1.01449$	Character $\chi_{3895}(1117, \cdot)$
1-3895-3895.1118-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1118	$0$	✓	✓	$-0.248$	$0$	$0.517747$	Character $\chi_{3895}(1118, \cdot)$
1-3895-3895.112-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.112	$0$	✓	✓	$-0.287$	$0$	$0.477804$	Character $\chi_{3895}(112, \cdot)$
1-3895-3895.1123-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1123	$0$	✓	✓	$0.0758$	$0$	$0.708299$	Character $\chi_{3895}(1123, \cdot)$
1-3895-3895.1124-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1124	$0$	✓	✓	$-0.104$	$0$	$0.596286$	Character $\chi_{3895}(1124, \cdot)$
1-3895-3895.1129-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1129	$0$	✓	✓	$-0.212$	$0$	$0.621749$	Character $\chi_{3895}(1129, \cdot)$
1-3895-3895.113-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.113	$0$	✓	✓	$-0.477$	$0$	$1.15399$	Character $\chi_{3895}(113, \cdot)$
1-3895-3895.1134-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1134	$0$	✓	✓	$-0.0240$	$0$	$1.03125$	Character $\chi_{3895}(1134, \cdot)$
1-3895-3895.1137-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1137	$0$	✓	✓	$0.105$	$0$	$0.437662$	Character $\chi_{3895}(1137, \cdot)$
1-3895-3895.1143-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1143	$0$	✓	✓	$-0.147$	$0$	$0.597593$	Character $\chi_{3895}(1143, \cdot)$
1-3895-3895.1144-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1144	$0$	✓	✓	$-0.0501$	$0$	$0.695667$	Character $\chi_{3895}(1144, \cdot)$
1-3895-3895.1152-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1152	$0$	✓	✓	$-0.121$	$0$	$1.05669$	Character $\chi_{3895}(1152, \cdot)$
1-3895-3895.1153-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1153	$0$	✓	✓	$-0.00778$	$0$	$0.536243$	Character $\chi_{3895}(1153, \cdot)$
1-3895-3895.1154-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1154	$0$	✓	✓	$-0.358$	$0$	$0.492611$	Character $\chi_{3895}(1154, \cdot)$
1-3895-3895.1158-r0-0-0	$18.0$	$18.0$	$1$	$5 \cdot 19 \cdot 41$	3895.1158	$0$	✓	✓	$-0.183$	$0$	$0.426338$	Character $\chi_{3895}(1158, \cdot)$

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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.