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 957 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2015-2015.1008-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1008	$0$	✓	✓	$0.101$	$0$	$0.784058$	Character $\chi_{2015}(1008, \cdot)$
1-2015-2015.1009-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1009	$0$	✓	✓	$0.423$	$0$	$1.35141$	Character $\chi_{2015}(1009, \cdot)$
1-2015-2015.1012-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1012	$0$	✓	✓	$-0.285$	$0$	$1.39054$	Character $\chi_{2015}(1012, \cdot)$
1-2015-2015.1013-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1013	$0$	✓	✓	$-0.104$	$0$	$0.192936$	Character $\chi_{2015}(1013, \cdot)$
1-2015-2015.1018-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1018	$0$	✓	✓	$0.0416$	$0$	$1.42555$	Character $\chi_{2015}(1018, \cdot)$
1-2015-2015.1019-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1019	$0$	✓	✓	$-0.444$	$0$	$0.336020$	Character $\chi_{2015}(1019, \cdot)$
1-2015-2015.102-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.102	$0$	✓	✓	$0.160$	$0$	$0.625655$	Character $\chi_{2015}(102, \cdot)$
1-2015-2015.1029-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1029	$0$	✓	✓	$0.368$	$0$	$0.376342$	Character $\chi_{2015}(1029, \cdot)$
1-2015-2015.1032-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1032	$0$	✓	✓	$-0.298$	$0$	$0.562047$	Character $\chi_{2015}(1032, \cdot)$
1-2015-2015.1033-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1033	$0$	✓	✓	$-0.294$	$0$	$0.00834462$	Character $\chi_{2015}(1033, \cdot)$
1-2015-2015.1034-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1034	$0$	✓	✓	$-0.382$	$0$	$0.798387$	Character $\chi_{2015}(1034, \cdot)$
1-2015-2015.1039-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1039	$0$	✓	✓	$-0.397$	$0$	$0.691603$	Character $\chi_{2015}(1039, \cdot)$
1-2015-2015.1042-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1042	$0$	✓	✓	$0.359$	$0$	$1.12312$	Character $\chi_{2015}(1042, \cdot)$
1-2015-2015.1048-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1048	$0$	✓	✓	$-0.237$	$0$	$0.643124$	Character $\chi_{2015}(1048, \cdot)$
1-2015-2015.1052-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1052	$0$	✓	✓	$0.0844$	$0$	$1.59916$	Character $\chi_{2015}(1052, \cdot)$
1-2015-2015.1057-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1057	$0$	✓	✓	$0.189$	$0$	$0.684376$	Character $\chi_{2015}(1057, \cdot)$
1-2015-2015.1058-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1058	$0$	✓	✓	$0.497$	$0$	$0.765280$	Character $\chi_{2015}(1058, \cdot)$
1-2015-2015.1068-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1068	$0$	✓	✓	$-0.295$	$0$	$1.36240$	Character $\chi_{2015}(1068, \cdot)$
1-2015-2015.1072-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1072	$0$	✓	✓	$0.223$	$0$	$0.899010$	Character $\chi_{2015}(1072, \cdot)$
1-2015-2015.1073-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1073	$0$	✓	✓	$0.357$	$0$	$0.0693320$	Character $\chi_{2015}(1073, \cdot)$
1-2015-2015.1078-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1078	$0$	✓	✓	$0.0697$	$0$	$0.782792$	Character $\chi_{2015}(1078, \cdot)$
1-2015-2015.108-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.108	$0$	✓	✓	$0.000917$	$0$	$1.00232$	Character $\chi_{2015}(108, \cdot)$
1-2015-2015.1083-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1083	$0$	✓	✓	$0.493$	$0$	$1.57166$	Character $\chi_{2015}(1083, \cdot)$
1-2015-2015.1084-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1084	$0$	✓	✓	$-0.203$	$0$	$0.347793$	Character $\chi_{2015}(1084, \cdot)$
1-2015-2015.1087-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1087	$0$	✓	✓	$-0.0610$	$0$	$0.714053$	Character $\chi_{2015}(1087, \cdot)$
1-2015-2015.1088-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1088	$0$	✓	✓	$0.218$	$0$	$1.06993$	Character $\chi_{2015}(1088, \cdot)$
1-2015-2015.1089-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1089	$0$	✓	✓	$-0.0413$	$0$	$0.517206$	Character $\chi_{2015}(1089, \cdot)$
1-2015-2015.1102-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1102	$0$	✓	✓	$-0.0274$	$0$	$0.699600$	Character $\chi_{2015}(1102, \cdot)$
1-2015-2015.1103-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1103	$0$	✓	✓	$0.0595$	$0$	$0.431320$	Character $\chi_{2015}(1103, \cdot)$
1-2015-2015.1104-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1104	$0$	✓	✓	$-0.141$	$0$	$0.354928$	Character $\chi_{2015}(1104, \cdot)$
1-2015-2015.1108-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1108	$0$	✓	✓	$-0.387$	$0$	$0.508629$	Character $\chi_{2015}(1108, \cdot)$
1-2015-2015.1113-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1113	$0$	✓	✓	$-0.434$	$0$	$0.658203$	Character $\chi_{2015}(1113, \cdot)$
1-2015-2015.112-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.112	$0$	✓	✓	$0.399$	$0$	$0.511449$	Character $\chi_{2015}(112, \cdot)$
1-2015-2015.1122-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1122	$0$	✓	✓	$0.129$	$0$	$0.385932$	Character $\chi_{2015}(1122, \cdot)$
1-2015-2015.1123-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1123	$0$	✓	✓	$-0.107$	$0$	$0.878301$	Character $\chi_{2015}(1123, \cdot)$
1-2015-2015.1127-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1127	$0$	✓	✓	$0.408$	$0$	$1.12076$	Character $\chi_{2015}(1127, \cdot)$
1-2015-2015.1128-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1128	$0$	✓	✓	$-0.0619$	$0$	$0.662232$	Character $\chi_{2015}(1128, \cdot)$
1-2015-2015.1129-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1129	$0$	✓	✓	$0.394$	$0$	$1.78339$	Character $\chi_{2015}(1129, \cdot)$
1-2015-2015.1134-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1134	$0$	✓	✓	$0.350$	$0$	$1.40893$	Character $\chi_{2015}(1134, \cdot)$
1-2015-2015.1139-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1139	$0$	✓	✓	$0.444$	$0$	$0.775448$	Character $\chi_{2015}(1139, \cdot)$
1-2015-2015.1143-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1143	$0$	✓	✓	$-0.0797$	$0$	$0.618466$	Character $\chi_{2015}(1143, \cdot)$
1-2015-2015.1152-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1152	$0$	✓	✓	$-0.355$	$0$	$0.101730$	Character $\chi_{2015}(1152, \cdot)$
1-2015-2015.1153-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1153	$0$	✓	✓	$0.158$	$0$	$0.893150$	Character $\chi_{2015}(1153, \cdot)$
1-2015-2015.1154-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1154	$0$	✓	✓	$0.348$	$0$	$0.405361$	Character $\chi_{2015}(1154, \cdot)$
1-2015-2015.1159-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1159	$0$	✓	✓	$0.0240$	$0$	$1.06145$	Character $\chi_{2015}(1159, \cdot)$
1-2015-2015.1163-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1163	$0$	✓	✓	$0.00810$	$0$	$1.20262$	Character $\chi_{2015}(1163, \cdot)$
1-2015-2015.1164-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1164	$0$	✓	✓	$0.0572$	$0$	$0.914086$	Character $\chi_{2015}(1164, \cdot)$
1-2015-2015.1172-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1172	$0$	✓	✓	$0.397$	$0$	$0.733381$	Character $\chi_{2015}(1172, \cdot)$
1-2015-2015.1173-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1173	$0$	✓	✓	$0.165$	$0$	$1.29278$	Character $\chi_{2015}(1173, \cdot)$
1-2015-2015.1188-r0-0-0	$9.35$	$9.35$	$1$	$5 \cdot 13 \cdot 31$	2015.1188	$0$	✓	✓	$-0.241$	$0$	$0.796818$	Character $\chi_{2015}(1188, \cdot)$

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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.