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 1620 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2527-2527.10-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.10	$0$	✓	✓	$-0.181$	$0$	$1.06599$	Character $\chi_{2527}(10, \cdot)$
1-2527-2527.100-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.100	$0$	✓	✓	$0.0520$	$0$	$1.22131$	Character $\chi_{2527}(100, \cdot)$
1-2527-2527.1000-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1000	$0$	✓	✓	$0.490$	$0$	$0.0513238$	Character $\chi_{2527}(1000, \cdot)$
1-2527-2527.1005-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1005	$0$	✓	✓	$0.318$	$0$	$0.638677$	Character $\chi_{2527}(1005, \cdot)$
1-2527-2527.1006-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1006	$0$	✓	✓	$0.111$	$0$	$1.39972$	Character $\chi_{2527}(1006, \cdot)$
1-2527-2527.1012-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1012	$0$	✓	✓	$0.386$	$0$	$1.40287$	Character $\chi_{2527}(1012, \cdot)$
1-2527-2527.102-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.102	$0$	✓	✓	$0.454$	$0$	$0.874144$	Character $\chi_{2527}(102, \cdot)$
1-2527-2527.1020-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1020	$0$	✓	✓	$-0.422$	$0$	$0.886603$	Character $\chi_{2527}(1020, \cdot)$
1-2527-2527.1024-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1024	$0$	✓	✓	$-0.281$	$0$	$0.261156$	Character $\chi_{2527}(1024, \cdot)$
1-2527-2527.1025-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1025	$0$	✓	✓	$-0.149$	$0$	$1.43739$	Character $\chi_{2527}(1025, \cdot)$
1-2527-2527.1028-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1028	$0$	✓	✓	$0.263$	$0$	$1.13751$	Character $\chi_{2527}(1028, \cdot)$
1-2527-2527.103-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.103	$0$	✓	✓	$0.298$	$0$	$0.0293790$	Character $\chi_{2527}(103, \cdot)$
1-2527-2527.1031-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1031	$0$	✓	✓	$0.469$	$0$	$1.14232$	Character $\chi_{2527}(1031, \cdot)$
1-2527-2527.1033-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1033	$0$	✓	✓	$0.170$	$0$	$0.658006$	Character $\chi_{2527}(1033, \cdot)$
1-2527-2527.1034-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1034	$0$	✓	✓	$-0.0296$	$0$	$0.573391$	Character $\chi_{2527}(1034, \cdot)$
1-2527-2527.1039-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1039	$0$	✓	✓	$-0.0217$	$0$	$0.567701$	Character $\chi_{2527}(1039, \cdot)$
1-2527-2527.1041-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1041	$0$	✓	✓	$0.111$	$0$	$1.18574$	Character $\chi_{2527}(1041, \cdot)$
1-2527-2527.1048-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1048	$0$	✓	✓	$-0.0351$	$0$	$0.165371$	Character $\chi_{2527}(1048, \cdot)$
1-2527-2527.1052-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1052	$0$	✓	✓	$0.173$	$0$	$1.37143$	Character $\chi_{2527}(1052, \cdot)$
1-2527-2527.1053-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1053	$0$	✓	✓	$-0.327$	$0$	$0.857856$	Character $\chi_{2527}(1053, \cdot)$
1-2527-2527.1054-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1054	$0$	✓	✓	$-0.328$	$0$	$0.851613$	Character $\chi_{2527}(1054, \cdot)$
1-2527-2527.1060-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1060	$0$	✓	✓	$0.0710$	$0$	$0.768495$	Character $\chi_{2527}(1060, \cdot)$
1-2527-2527.1061-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1061	$0$	✓	✓	$-0.384$	$0$	$2.01536$	Character $\chi_{2527}(1061, \cdot)$
1-2527-2527.1063-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1063	$0$	✓	✓	$-0.439$	$0$	$1.48628$	Character $\chi_{2527}(1063, \cdot)$
1-2527-2527.1067-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1067	$0$	✓	✓	$-0.414$	$0$	$0.426712$	Character $\chi_{2527}(1067, \cdot)$
1-2527-2527.1068-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1068	$0$	✓	✓	$-0.245$	$0$	$1.01831$	Character $\chi_{2527}(1068, \cdot)$
1-2527-2527.1073-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1073	$0$	✓	✓	$-0.0252$	$0$	$1.06474$	Character $\chi_{2527}(1073, \cdot)$
1-2527-2527.1074-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1074	$0$	✓	✓	$0.147$	$0$	$0.779399$	Character $\chi_{2527}(1074, \cdot)$
1-2527-2527.1075-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1075	$0$	✓	✓	$0.0529$	$0$	$0.555552$	Character $\chi_{2527}(1075, \cdot)$
1-2527-2527.1076-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1076	$0$	✓	✓	$-0.00516$	$0$	$0.770231$	Character $\chi_{2527}(1076, \cdot)$
1-2527-2527.1077-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1077	$0$	✓	✓	$0.483$	$0$	$0.573831$	Character $\chi_{2527}(1077, \cdot)$
1-2527-2527.108-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.108	$0$	✓	✓	$0.412$	$0$	$1.10928$	Character $\chi_{2527}(108, \cdot)$
1-2527-2527.1080-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1080	$0$	✓	✓	$0.125$	$0$	$0.931948$	Character $\chi_{2527}(1080, \cdot)$
1-2527-2527.1087-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1087	$0$	✓	✓	$0.00491$	$0$	$0.998074$	Character $\chi_{2527}(1087, \cdot)$
1-2527-2527.1089-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1089	$0$	✓	✓	$-0.0267$	$0$	$0.670743$	Character $\chi_{2527}(1089, \cdot)$
1-2527-2527.1091-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1091	$0$	✓	✓	$0.0630$	$0$	$1.08402$	Character $\chi_{2527}(1091, \cdot)$
1-2527-2527.1094-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1094	$0$	✓	✓	$-0.395$	$0$	$0.921384$	Character $\chi_{2527}(1094, \cdot)$
1-2527-2527.1095-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1095	$0$	✓	✓	$0.0347$	$0$	$0.733523$	Character $\chi_{2527}(1095, \cdot)$
1-2527-2527.1097-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1097	$0$	✓	✓	$-0.0791$	$0$	$0.149155$	Character $\chi_{2527}(1097, \cdot)$
1-2527-2527.1098-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1098	$0$	✓	✓	$-0.235$	$0$	$2.06500$	Character $\chi_{2527}(1098, \cdot)$
1-2527-2527.11-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.11	$0$	✓	✓	$0.0843$	$0$	$0.966486$	Character $\chi_{2527}(11, \cdot)$
1-2527-2527.110-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.110	$0$	✓	✓	$-0.225$	$0$	$0.541736$	Character $\chi_{2527}(110, \cdot)$
1-2527-2527.1103-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1103	$0$	✓	✓	$0.0501$	$0$	$1.37039$	Character $\chi_{2527}(1103, \cdot)$
1-2527-2527.1104-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1104	$0$	✓	✓	$0.211$	$0$	$0.600549$	Character $\chi_{2527}(1104, \cdot)$
1-2527-2527.1105-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1105	$0$	✓	✓	$-0.374$	$0$	$0.770294$	Character $\chi_{2527}(1105, \cdot)$
1-2527-2527.1108-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1108	$0$	✓	✓	$-0.0864$	$0$	$0.856252$	Character $\chi_{2527}(1108, \cdot)$
1-2527-2527.1112-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1112	$0$	✓	✓	$0.181$	$0$	$1.09370$	Character $\chi_{2527}(1112, \cdot)$
1-2527-2527.1116-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1116	$0$	✓	✓	$-0.484$	$0$	$2.00326$	Character $\chi_{2527}(1116, \cdot)$
1-2527-2527.1122-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1122	$0$	✓	✓	$0.249$	$0$	$1.34566$	Character $\chi_{2527}(1122, \cdot)$
1-2527-2527.1123-r0-0-0	$11.7$	$11.7$	$1$	$7 \cdot 19^{2}$	2527.1123	$0$	✓	✓	$-0.440$	$0$	$0.129899$	Character $\chi_{2527}(1123, \cdot)$

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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
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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.