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 486 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1805-1805.1002-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1002	$0$	✓	✓	$0.362$	$0$	$1.03168$	Character $\chi_{1805}(1002, \cdot)$
1-1805-1805.1003-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1003	$0$	✓	✓	$-0.433$	$0$	$0.460486$	Character $\chi_{1805}(1003, \cdot)$
1-1805-1805.1004-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1004	$0$	✓	✓	$0.0864$	$0$	$1.58350$	Character $\chi_{1805}(1004, \cdot)$
1-1805-1805.1017-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1017	$0$	✓	✓	$0.146$	$0$	$0.906242$	Character $\chi_{1805}(1017, \cdot)$
1-1805-1805.1022-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1022	$0$	✓	✓	$-0.249$	$0$	$0.575973$	Character $\chi_{1805}(1022, \cdot)$
1-1805-1805.1024-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1024	$0$	✓	✓	$-0.143$	$0$	$0.803376$	Character $\chi_{1805}(1024, \cdot)$
1-1805-1805.1028-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1028	$0$	✓	✓	$0.257$	$0$	$0.646699$	Character $\chi_{1805}(1028, \cdot)$
1-1805-1805.103-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.103	$0$	✓	✓	$0.0986$	$0$	$1.37862$	Character $\chi_{1805}(103, \cdot)$
1-1805-1805.1038-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1038	$0$	✓	✓	$0.129$	$0$	$1.33481$	Character $\chi_{1805}(1038, \cdot)$
1-1805-1805.104-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.104	$0$	✓	✓	$0.143$	$0$	$0.964057$	Character $\chi_{1805}(104, \cdot)$
1-1805-1805.1047-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1047	$0$	✓	✓	$0.257$	$0$	$1.36702$	Character $\chi_{1805}(1047, \cdot)$
1-1805-1805.1048-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1048	$0$	✓	✓	$0.320$	$0$	$1.35474$	Character $\chi_{1805}(1048, \cdot)$
1-1805-1805.1049-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1049	$0$	✓	✓	$-0.104$	$0$	$0.509436$	Character $\chi_{1805}(1049, \cdot)$
1-1805-1805.1053-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1053	$0$	✓	✓	$-0.0763$	$0$	$0.804902$	Character $\chi_{1805}(1053, \cdot)$
1-1805-1805.1054-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1054	$0$	✓	✓	$0.00769$	$0$	$1.32626$	Character $\chi_{1805}(1054, \cdot)$
1-1805-1805.1057-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1057	$0$	✓	✓	$0.138$	$0$	$0.920763$	Character $\chi_{1805}(1057, \cdot)$
1-1805-1805.1058-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1058	$0$	✓	✓	$-0.433$	$0$	$1.49473$	Character $\chi_{1805}(1058, \cdot)$
1-1805-1805.1063-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1063	$0$	✓	✓	$-0.422$	$0$	$0.671632$	Character $\chi_{1805}(1063, \cdot)$
1-1805-1805.1067-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1067	$0$	✓	✓	$-0.221$	$0$	$1.24051$	Character $\chi_{1805}(1067, \cdot)$
1-1805-1805.1069-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1069	$0$	✓	✓	$0.228$	$0$	$0.881537$	Character $\chi_{1805}(1069, \cdot)$
1-1805-1805.107-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.107	$0$	✓	✓	$-0.224$	$0$	$0.122185$	Character $\chi_{1805}(107, \cdot)$
1-1805-1805.1072-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1072	$0$	✓	✓	$0.138$	$0$	$1.28043$	Character $\chi_{1805}(1072, \cdot)$
1-1805-1805.1077-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1077	$0$	✓	✓	$0.138$	$0$	$0.642610$	Character $\chi_{1805}(1077, \cdot)$
1-1805-1805.1078-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1078	$0$	✓	✓	$-0.0640$	$0$	$1.21165$	Character $\chi_{1805}(1078, \cdot)$
1-1805-1805.108-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.108	$0$	✓	✓	$-0.0670$	$0$	$0.877557$	Character $\chi_{1805}(108, \cdot)$
1-1805-1805.1089-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1089	$0$	✓	✓	$-0.199$	$0$	$0.881291$	Character $\chi_{1805}(1089, \cdot)$
1-1805-1805.1093-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1093	$0$	✓	✓	$-0.257$	$0$	$0.455363$	Character $\chi_{1805}(1093, \cdot)$
1-1805-1805.1094-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1094	$0$	✓	✓	$-0.199$	$0$	$0.935734$	Character $\chi_{1805}(1094, \cdot)$
1-1805-1805.1097-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1097	$0$	✓	✓	$0.0670$	$0$	$1.08281$	Character $\chi_{1805}(1097, \cdot)$
1-1805-1805.1098-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1098	$0$	✓	✓	$-0.370$	$0$	$0.562623$	Character $\chi_{1805}(1098, \cdot)$
1-1805-1805.1099-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1099	$0$	✓	✓	$0.440$	$0$	$1.61997$	Character $\chi_{1805}(1099, \cdot)$
1-1805-1805.1109-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1109	$0$	✓	✓	$-0.199$	$0$	$0.290586$	Character $\chi_{1805}(1109, \cdot)$
1-1805-1805.1112-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1112	$0$	✓	✓	$0.345$	$0$	$1.13634$	Character $\chi_{1805}(1112, \cdot)$
1-1805-1805.1117-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1117	$0$	✓	✓	$-0.266$	$0$	$1.02138$	Character $\chi_{1805}(1117, \cdot)$
1-1805-1805.1119-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1119	$0$	✓	✓	$0.419$	$0$	$0.773165$	Character $\chi_{1805}(1119, \cdot)$
1-1805-1805.1123-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1123	$0$	✓	✓	$-0.0375$	$0$	$0.916552$	Character $\chi_{1805}(1123, \cdot)$
1-1805-1805.113-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.113	$0$	✓	✓	$0.431$	$0$	$1.58111$	Character $\chi_{1805}(113, \cdot)$
1-1805-1805.1133-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1133	$0$	✓	✓	$0.0834$	$0$	$0.531574$	Character $\chi_{1805}(1133, \cdot)$
1-1805-1805.1142-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1142	$0$	✓	✓	$-0.305$	$0$	$0.543824$	Character $\chi_{1805}(1142, \cdot)$
1-1805-1805.1143-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1143	$0$	✓	✓	$-0.138$	$0$	$1.09259$	Character $\chi_{1805}(1143, \cdot)$
1-1805-1805.1144-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1144	$0$	✓	✓	$0.412$	$0$	$0.448484$	Character $\chi_{1805}(1144, \cdot)$
1-1805-1805.1148-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1148	$0$	✓	✓	$-0.259$	$0$	$0.0660672$	Character $\chi_{1805}(1148, \cdot)$
1-1805-1805.1149-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1149	$0$	✓	✓	$0.308$	$0$	$1.09454$	Character $\chi_{1805}(1149, \cdot)$
1-1805-1805.1153-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1153	$0$	✓	✓	$0.471$	$0$	$0.649158$	Character $\chi_{1805}(1153, \cdot)$
1-1805-1805.1158-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1158	$0$	✓	✓	$-0.473$	$0$	$1.26757$	Character $\chi_{1805}(1158, \cdot)$
1-1805-1805.1162-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1162	$0$	✓	✓	$-0.0754$	$0$	$0.554196$	Character $\chi_{1805}(1162, \cdot)$
1-1805-1805.1164-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1164	$0$	✓	✓	$0.0246$	$0$	$0.398072$	Character $\chi_{1805}(1164, \cdot)$
1-1805-1805.1167-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1167	$0$	✓	✓	$0.0869$	$0$	$1.06424$	Character $\chi_{1805}(1167, \cdot)$
1-1805-1805.117-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.117	$0$	✓	✓	$0.0670$	$0$	$0.819030$	Character $\chi_{1805}(117, \cdot)$
1-1805-1805.1172-r0-0-0	$8.38$	$8.38$	$1$	$5 \cdot 19^{2}$	1805.1172	$0$	✓	✓	$-0.280$	$0$	$0.326199$	Character $\chi_{1805}(1172, \cdot)$

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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.