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 800 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-75e2-5625.1006-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1006	$0$	✓	✓	$0.164$	$0$	$0.747750$	Character $\chi_{5625}(1006, \cdot)$
1-75e2-5625.1013-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1013	$0$	✓	✓	$-0.449$	$0$	$0.0343756$	Character $\chi_{5625}(1013, \cdot)$
1-75e2-5625.1021-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1021	$0$	✓	✓	$0.435$	$0$	$0.0370931$	Character $\chi_{5625}(1021, \cdot)$
1-75e2-5625.1022-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1022	$0$	✓	✓	$0.0553$	$0$	$0.500696$	Character $\chi_{5625}(1022, \cdot)$
1-75e2-5625.1028-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1028	$0$	✓	✓	$0.279$	$0$	$1.14872$	Character $\chi_{5625}(1028, \cdot)$
1-75e2-5625.1037-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1037	$0$	✓	✓	$0.0354$	$0$	$0.961045$	Character $\chi_{5625}(1037, \cdot)$
1-75e2-5625.1039-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1039	$0$	✓	✓	$-0.485$	$0$	$0.0713695$	Character $\chi_{5625}(1039, \cdot)$
1-75e2-5625.1058-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1058	$0$	✓	✓	$-0.479$	$0$	$1.07174$	Character $\chi_{5625}(1058, \cdot)$
1-75e2-5625.106-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.106	$0$	✓	✓	$-0.275$	$0$	$0.290457$	Character $\chi_{5625}(106, \cdot)$
1-75e2-5625.1066-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1066	$0$	✓	✓	$-0.339$	$0$	$0.637399$	Character $\chi_{5625}(1066, \cdot)$
1-75e2-5625.1067-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1067	$0$	✓	✓	$-0.279$	$0$	$0.540940$	Character $\chi_{5625}(1067, \cdot)$
1-75e2-5625.1069-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1069	$0$	✓	✓	$0.164$	$0$	$0.684243$	Character $\chi_{5625}(1069, \cdot)$
1-75e2-5625.1073-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1073	$0$	✓	✓	$0.389$	$0$	$0.969698$	Character $\chi_{5625}(1073, \cdot)$
1-75e2-5625.1084-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1084	$0$	✓	✓	$0.160$	$0$	$0.672792$	Character $\chi_{5625}(1084, \cdot)$
1-75e2-5625.1096-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1096	$0$	✓	✓	$-0.320$	$0$	$1.76126$	Character $\chi_{5625}(1096, \cdot)$
1-75e2-5625.1103-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1103	$0$	✓	✓	$0.0553$	$0$	$0.557299$	Character $\chi_{5625}(1103, \cdot)$
1-75e2-5625.1111-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1111	$0$	✓	✓	$0.245$	$0$	$0.667675$	Character $\chi_{5625}(1111, \cdot)$
1-75e2-5625.1112-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1112	$0$	✓	✓	$0.0509$	$0$	$0.609032$	Character $\chi_{5625}(1112, \cdot)$
1-75e2-5625.1114-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1114	$0$	✓	✓	$-0.240$	$0$	$0.364770$	Character $\chi_{5625}(1114, \cdot)$
1-75e2-5625.1127-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1127	$0$	✓	✓	$-0.190$	$0$	$0.794733$	Character $\chi_{5625}(1127, \cdot)$
1-75e2-5625.1129-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1129	$0$	✓	✓	$-0.444$	$0$	$0.417533$	Character $\chi_{5625}(1129, \cdot)$
1-75e2-5625.113-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.113	$0$	✓	✓	$0.110$	$0$	$0.360194$	Character $\chi_{5625}(113, \cdot)$
1-75e2-5625.1141-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1141	$0$	✓	✓	$0.385$	$0$	$0.943076$	Character $\chi_{5625}(1141, \cdot)$
1-75e2-5625.1148-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1148	$0$	✓	✓	$0.244$	$0$	$1.14517$	Character $\chi_{5625}(1148, \cdot)$
1-75e2-5625.1156-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1156	$0$	✓	✓	$0.000177$	$0$	$0.807751$	Character $\chi_{5625}(1156, \cdot)$
1-75e2-5625.1159-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1159	$0$	✓	✓	$0.0854$	$0$	$0.425315$	Character $\chi_{5625}(1159, \cdot)$
1-75e2-5625.1163-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1163	$0$	✓	✓	$0.455$	$0$	$1.03992$	Character $\chi_{5625}(1163, \cdot)$
1-75e2-5625.1172-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1172	$0$	✓	✓	$-0.0801$	$0$	$0.162608$	Character $\chi_{5625}(1172, \cdot)$
1-75e2-5625.1186-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1186	$0$	✓	✓	$0.339$	$0$	$0.797501$	Character $\chi_{5625}(1186, \cdot)$
1-75e2-5625.1202-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1202	$0$	✓	✓	$0.495$	$0$	$0.0366722$	Character $\chi_{5625}(1202, \cdot)$
1-75e2-5625.1204-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1204	$0$	✓	✓	$0.119$	$0$	$1.11309$	Character $\chi_{5625}(1204, \cdot)$
1-75e2-5625.1208-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1208	$0$	✓	✓	$0.0246$	$0$	$0.762495$	Character $\chi_{5625}(1208, \cdot)$
1-75e2-5625.121-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.121	$0$	✓	✓	$-0.444$	$0$	$0.932114$	Character $\chi_{5625}(121, \cdot)$
1-75e2-5625.1217-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1217	$0$	✓	✓	$-0.335$	$0$	$0.629895$	Character $\chi_{5625}(1217, \cdot)$
1-75e2-5625.1219-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1219	$0$	✓	✓	$0.000177$	$0$	$0.923339$	Character $\chi_{5625}(1219, \cdot)$
1-75e2-5625.122-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.122	$0$	✓	✓	$0.375$	$0$	$0.302415$	Character $\chi_{5625}(122, \cdot)$
1-75e2-5625.1231-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1231	$0$	✓	✓	$0.124$	$0$	$1.05770$	Character $\chi_{5625}(1231, \cdot)$
1-75e2-5625.1238-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1238	$0$	✓	✓	$-0.289$	$0$	$0.273690$	Character $\chi_{5625}(1238, \cdot)$
1-75e2-5625.1246-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1246	$0$	✓	✓	$-0.444$	$0$	$0.557310$	Character $\chi_{5625}(1246, \cdot)$
1-75e2-5625.1247-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1247	$0$	✓	✓	$-0.424$	$0$	$0.362854$	Character $\chi_{5625}(1247, \cdot)$
1-75e2-5625.1253-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1253	$0$	✓	✓	$-0.480$	$0$	$1.05095$	Character $\chi_{5625}(1253, \cdot)$
1-75e2-5625.1262-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1262	$0$	✓	✓	$0.155$	$0$	$0.622111$	Character $\chi_{5625}(1262, \cdot)$
1-75e2-5625.1264-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1264	$0$	✓	✓	$-0.245$	$0$	$0.267331$	Character $\chi_{5625}(1264, \cdot)$
1-75e2-5625.128-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.128	$0$	✓	✓	$-0.280$	$0$	$0.0223519$	Character $\chi_{5625}(128, \cdot)$
1-75e2-5625.1283-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1283	$0$	✓	✓	$-0.279$	$0$	$0.565724$	Character $\chi_{5625}(1283, \cdot)$
1-75e2-5625.1291-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1291	$0$	✓	✓	$-0.139$	$0$	$0.418649$	Character $\chi_{5625}(1291, \cdot)$
1-75e2-5625.1292-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1292	$0$	✓	✓	$0.0801$	$0$	$0.713437$	Character $\chi_{5625}(1292, \cdot)$
1-75e2-5625.1294-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1294	$0$	✓	✓	$-0.275$	$0$	$0.164978$	Character $\chi_{5625}(1294, \cdot)$
1-75e2-5625.1298-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1298	$0$	✓	✓	$-0.0509$	$0$	$0.469717$	Character $\chi_{5625}(1298, \cdot)$
1-75e2-5625.1309-r0-0-0	$26.1$	$26.1$	$1$	$3^{2} \cdot 5^{4}$	5625.1309	$0$	✓	✓	$0.360$	$0$	$1.19019$	Character $\chi_{5625}(1309, \cdot)$

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Classical	Maass
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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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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.