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 492 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1161-1161.1001-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1001	$0$	✓	✓	$-0.245$	$0$	$0.390539$	Character $\chi_{1161}(1001, \cdot)$
1-1161-1161.1003-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1003	$0$	✓	✓	$-0.247$	$0$	$0.539948$	Character $\chi_{1161}(1003, \cdot)$
1-1161-1161.1006-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1006	$0$	✓	✓	$0.0318$	$0$	$0.838357$	Character $\chi_{1161}(1006, \cdot)$
1-1161-1161.1012-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1012	$0$	✓	✓	$-0.422$	$0$	$0.472966$	Character $\chi_{1161}(1012, \cdot)$
1-1161-1161.1019-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1019	$0$	✓	✓	$0.304$	$0$	$0.867278$	Character $\chi_{1161}(1019, \cdot)$
1-1161-1161.1022-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1022	$0$	✓	✓	$-0.304$	$0$	$0.258534$	Character $\chi_{1161}(1022, \cdot)$
1-1161-1161.1024-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1024	$0$	✓	✓	$0.239$	$0$	$1.08990$	Character $\chi_{1161}(1024, \cdot)$
1-1161-1161.1028-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1028	$0$	✓	✓	$-0.0955$	$0$	$0.343897$	Character $\chi_{1161}(1028, \cdot)$
1-1161-1161.103-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.103	$0$	✓	✓	$0.494$	$0$	$1.35135$	Character $\chi_{1161}(103, \cdot)$
1-1161-1161.1030-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1030	$0$	✓	✓	$-0.112$	$0$	$1.09067$	Character $\chi_{1161}(1030, \cdot)$
1-1161-1161.1031-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1031	$0$	✓	✓	$-0.351$	$0$	$0.846840$	Character $\chi_{1161}(1031, \cdot)$
1-1161-1161.1037-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1037	$0$	✓	✓	$-0.398$	$0$	$0.316243$	Character $\chi_{1161}(1037, \cdot)$
1-1161-1161.104-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.104	$0$	✓	✓	$-0.0882$	$0$	$0.310777$	Character $\chi_{1161}(104, \cdot)$
1-1161-1161.1040-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1040	$0$	✓	✓	$0.0453$	$0$	$1.38011$	Character $\chi_{1161}(1040, \cdot)$
1-1161-1161.1042-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1042	$0$	✓	✓	$0.0472$	$0$	$1.41703$	Character $\chi_{1161}(1042, \cdot)$
1-1161-1161.1048-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1048	$0$	✓	✓	$-0.239$	$0$	$2.04559$	Character $\chi_{1161}(1048, \cdot)$
1-1161-1161.1057-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1057	$0$	✓	✓	$0.361$	$0$	$0.971746$	Character $\chi_{1161}(1057, \cdot)$
1-1161-1161.1058-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1058	$0$	✓	✓	$0.398$	$0$	$0.902522$	Character $\chi_{1161}(1058, \cdot)$
1-1161-1161.1064-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1064	$0$	✓	✓	$-0.200$	$0$	$0.692391$	Character $\chi_{1161}(1064, \cdot)$
1-1161-1161.1082-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1082	$0$	✓	✓	$0.115$	$0$	$1.19349$	Character $\chi_{1161}(1082, \cdot)$
1-1161-1161.1084-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1084	$0$	✓	✓	$-0.0533$	$0$	$0.590578$	Character $\chi_{1161}(1084, \cdot)$
1-1161-1161.1094-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1094	$0$	✓	✓	$0.198$	$0$	$1.20047$	Character $\chi_{1161}(1094, \cdot)$
1-1161-1161.1096-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1096	$0$	✓	✓	$-0.220$	$0$	$0.264759$	Character $\chi_{1161}(1096, \cdot)$
1-1161-1161.1103-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1103	$0$	✓	✓	$-0.489$	$0$	$0.493439$	Character $\chi_{1161}(1103, \cdot)$
1-1161-1161.1109-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1109	$0$	✓	✓	$-0.198$	$0$	$1.23192$	Character $\chi_{1161}(1109, \cdot)$
1-1161-1161.1111-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1111	$0$	✓	✓	$-0.317$	$0$	$0.0415185$	Character $\chi_{1161}(1111, \cdot)$
1-1161-1161.1112-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1112	$0$	✓	✓	$-0.115$	$0$	$0.629552$	Character $\chi_{1161}(1112, \cdot)$
1-1161-1161.1121-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1121	$0$	✓	✓	$-0.0728$	$0$	$0.804493$	Character $\chi_{1161}(1121, \cdot)$
1-1161-1161.1129-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1129	$0$	✓	✓	$0.0168$	$0$	$0.902283$	Character $\chi_{1161}(1129, \cdot)$
1-1161-1161.113-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.113	$0$	✓	✓	$0.249$	$0$	$0.994727$	Character $\chi_{1161}(113, \cdot)$
1-1161-1161.1130-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1130	$0$	✓	✓	$-0.282$	$0$	$0.828529$	Character $\chi_{1161}(1130, \cdot)$
1-1161-1161.1132-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1132	$0$	✓	✓	$0.284$	$0$	$0.747542$	Character $\chi_{1161}(1132, \cdot)$
1-1161-1161.1136-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1136	$0$	✓	✓	$-0.0512$	$0$	$0.812244$	Character $\chi_{1161}(1136, \cdot)$
1-1161-1161.1141-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1141	$0$	✓	✓	$0.114$	$0$	$0.835722$	Character $\chi_{1161}(1141, \cdot)$
1-1161-1161.1145-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1145	$0$	✓	✓	$-0.0453$	$0$	$0.803480$	Character $\chi_{1161}(1145, \cdot)$
1-1161-1161.1148-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1148	$0$	✓	✓	$0.267$	$0$	$1.77401$	Character $\chi_{1161}(1148, \cdot)$
1-1161-1161.1156-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1156	$0$	✓	✓	$0.301$	$0$	$1.10004$	Character $\chi_{1161}(1156, \cdot)$
1-1161-1161.1157-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1157	$0$	✓	✓	$-0.132$	$0$	$0.973608$	Character $\chi_{1161}(1157, \cdot)$
1-1161-1161.1159-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.1159	$0$	✓	✓	$0.424$	$0$	$1.20259$	Character $\chi_{1161}(1159, \cdot)$
1-1161-1161.119-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.119	$0$	✓	✓	$-0.267$	$0$	$0.444903$	Character $\chi_{1161}(119, \cdot)$
1-1161-1161.121-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.121	$0$	✓	✓	$0.0357$	$0$	$1.40235$	Character $\chi_{1161}(121, \cdot)$
1-1161-1161.124-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.124	$0$	✓	✓	$-0.494$	$0$	$0.551033$	Character $\chi_{1161}(124, \cdot)$
1-1161-1161.128-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.128	$0$	✓	✓	$-0.314$	$0$	$0.733104$	Character $\chi_{1161}(128, \cdot)$
1-1161-1161.13-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.13	$0$	✓	✓	$-0.0472$	$0$	$0.928349$	Character $\chi_{1161}(13, \cdot)$
1-1161-1161.131-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.131	$0$	✓	✓	$0.159$	$0$	$1.63911$	Character $\chi_{1161}(131, \cdot)$
1-1161-1161.133-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.133	$0$	✓	✓	$-0.0168$	$0$	$0.787322$	Character $\chi_{1161}(133, \cdot)$
1-1161-1161.137-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.137	$0$	✓	✓	$-0.249$	$0$	$2.05924$	Character $\chi_{1161}(137, \cdot)$
1-1161-1161.139-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.139	$0$	✓	✓	$-0.489$	$0$	$0.0674089$	Character $\chi_{1161}(139, \cdot)$
1-1161-1161.142-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.142	$0$	✓	✓	$0.489$	$0$	$1.27966$	Character $\chi_{1161}(142, \cdot)$
1-1161-1161.149-r0-0-0	$5.39$	$5.39$	$1$	$3^{3} \cdot 43$	1161.149	$0$	✓	✓	$0.452$	$0$	$0.550647$	Character $\chi_{1161}(149, \cdot)$

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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.