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 659 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-5288-5288.1019-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1019	$0$	✓	✓	$-0.108$	$0$	$0.118883$	Character $\chi_{5288}(1019, \cdot)$
1-5288-5288.1035-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1035	$0$	✓	✓	$0.232$	$0$	$1.42444$	Character $\chi_{5288}(1035, \cdot)$
1-5288-5288.1059-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1059	$0$	✓	✓	$0.0217$	$0$	$0.924494$	Character $\chi_{5288}(1059, \cdot)$
1-5288-5288.1061-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1061	$0$	✓	✓	$0.333$	$0$	$0.980302$	Character $\chi_{5288}(1061, \cdot)$
1-5288-5288.1077-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1077	$0$	✓	✓	$0.218$	$0$	$0.696000$	Character $\chi_{5288}(1077, \cdot)$
1-5288-5288.109-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.109	$0$	✓	✓	$0.477$	$0$	$0.0172183$	Character $\chi_{5288}(109, \cdot)$
1-5288-5288.1091-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1091	$0$	✓	✓	$0.0442$	$0$	$1.16418$	Character $\chi_{5288}(1091, \cdot)$
1-5288-5288.1093-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1093	$0$	✓	✓	$-0.248$	$0$	$0.215147$	Character $\chi_{5288}(1093, \cdot)$
1-5288-5288.1099-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1099	$0$	✓	✓	$0.247$	$0$	$0.648548$	Character $\chi_{5288}(1099, \cdot)$
1-5288-5288.1115-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1115	$0$	✓	✓	$-0.394$	$0$	$1.82558$	Character $\chi_{5288}(1115, \cdot)$
1-5288-5288.1117-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1117	$0$	✓	✓	$0.286$	$0$	$0.198511$	Character $\chi_{5288}(1117, \cdot)$
1-5288-5288.1125-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1125	$0$	✓	✓	$0.0809$	$0$	$0.469785$	Character $\chi_{5288}(1125, \cdot)$
1-5288-5288.1131-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1131	$0$	✓	✓	$0.00439$	$0$	$0.736753$	Character $\chi_{5288}(1131, \cdot)$
1-5288-5288.1139-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1139	$0$	✓	✓	$0.000182$	$0$	$0.762850$	Character $\chi_{5288}(1139, \cdot)$
1-5288-5288.1147-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1147	$0$	✓	✓	$0.158$	$0$	$0.626447$	Character $\chi_{5288}(1147, \cdot)$
1-5288-5288.1149-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1149	$0$	✓	✓	$-0.212$	$0$	$0.569898$	Character $\chi_{5288}(1149, \cdot)$
1-5288-5288.115-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.115	$0$	✓	✓	$-0.444$	$0$	$0.227708$	Character $\chi_{5288}(115, \cdot)$
1-5288-5288.1155-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1155	$0$	✓	✓	$0.0725$	$0$	$0.986102$	Character $\chi_{5288}(1155, \cdot)$
1-5288-5288.1157-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1157	$0$	✓	✓	$0.481$	$0$	$0.181086$	Character $\chi_{5288}(1157, \cdot)$
1-5288-5288.1165-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1165	$0$	✓	✓	$0.160$	$0$	$0.787589$	Character $\chi_{5288}(1165, \cdot)$
1-5288-5288.1171-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1171	$0$	✓	✓	$0.426$	$0$	$0.209019$	Character $\chi_{5288}(1171, \cdot)$
1-5288-5288.1179-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1179	$0$	✓	✓	$0.379$	$0$	$0.227177$	Character $\chi_{5288}(1179, \cdot)$
1-5288-5288.1181-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1181	$0$	✓	✓	$-0.392$	$0$	$0.289530$	Character $\chi_{5288}(1181, \cdot)$
1-5288-5288.1189-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1189	$0$	✓	✓	$-0.226$	$0$	$0.00180158$	Character $\chi_{5288}(1189, \cdot)$
1-5288-5288.1197-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1197	$0$	✓	✓	$0.0858$	$0$	$1.17652$	Character $\chi_{5288}(1197, \cdot)$
1-5288-5288.1203-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1203	$0$	✓	✓	$0.0247$	$0$	$0.802101$	Character $\chi_{5288}(1203, \cdot)$
1-5288-5288.1211-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1211	$0$	✓	✓	$0.126$	$0$	$0.996439$	Character $\chi_{5288}(1211, \cdot)$
1-5288-5288.1213-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1213	$0$	✓	✓	$-0.0969$	$0$	$0.549351$	Character $\chi_{5288}(1213, \cdot)$
1-5288-5288.1219-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1219	$0$	✓	✓	$0.126$	$0$	$0.777024$	Character $\chi_{5288}(1219, \cdot)$
1-5288-5288.1227-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1227	$0$	✓	✓	$-0.0725$	$0$	$0.677238$	Character $\chi_{5288}(1227, \cdot)$
1-5288-5288.1229-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1229	$0$	✓	✓	$-0.256$	$0$	$0.645346$	Character $\chi_{5288}(1229, \cdot)$
1-5288-5288.1237-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1237	$0$	✓	✓	$0.345$	$0$	$0.625947$	Character $\chi_{5288}(1237, \cdot)$
1-5288-5288.1243-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1243	$0$	✓	✓	$0.195$	$0$	$1.15296$	Character $\chi_{5288}(1243, \cdot)$
1-5288-5288.125-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.125	$0$	✓	✓	$0.0399$	$0$	$1.00691$	Character $\chi_{5288}(125, \cdot)$
1-5288-5288.1251-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1251	$0$	✓	✓	$-0.242$	$0$	$0.467100$	Character $\chi_{5288}(1251, \cdot)$
1-5288-5288.1259-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1259	$0$	✓	✓	$0.0492$	$0$	$0.946915$	Character $\chi_{5288}(1259, \cdot)$
1-5288-5288.1269-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1269	$0$	✓	✓	$0.204$	$0$	$1.05806$	Character $\chi_{5288}(1269, \cdot)$
1-5288-5288.1277-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1277	$0$	✓	✓	$0.277$	$0$	$0.802951$	Character $\chi_{5288}(1277, \cdot)$
1-5288-5288.1283-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1283	$0$	✓	✓	$0.366$	$0$	$0.140010$	Character $\chi_{5288}(1283, \cdot)$
1-5288-5288.1293-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1293	$0$	✓	✓	$0.305$	$0$	$1.13346$	Character $\chi_{5288}(1293, \cdot)$
1-5288-5288.1299-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1299	$0$	✓	✓	$0.469$	$0$	$0.207874$	Character $\chi_{5288}(1299, \cdot)$
1-5288-5288.131-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.131	$0$	✓	✓	$-0.126$	$0$	$0.214250$	Character $\chi_{5288}(131, \cdot)$
1-5288-5288.1315-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1315	$0$	✓	✓	$0.00884$	$0$	$0.571574$	Character $\chi_{5288}(1315, \cdot)$
1-5288-5288.1317-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1317	$0$	✓	✓	$0.0180$	$0$	$0.284445$	Character $\chi_{5288}(1317, \cdot)$
1-5288-5288.1325-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1325	$0$	✓	✓	$-0.385$	$0$	$0.378543$	Character $\chi_{5288}(1325, \cdot)$
1-5288-5288.133-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.133	$0$	✓	✓	$0.0497$	$0$	$0.555241$	Character $\chi_{5288}(133, \cdot)$
1-5288-5288.1333-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1333	$0$	✓	✓	$-0.0225$	$0$	$0.740611$	Character $\chi_{5288}(1333, \cdot)$
1-5288-5288.1349-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1349	$0$	✓	✓	$-0.315$	$0$	$0.274194$	Character $\chi_{5288}(1349, \cdot)$
1-5288-5288.1365-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1365	$0$	✓	✓	$0.434$	$0$	$0.436421$	Character $\chi_{5288}(1365, \cdot)$
1-5288-5288.1373-r0-0-0	$24.5$	$24.5$	$1$	$2^{3} \cdot 661$	5288.1373	$0$	✓	✓	$-0.227$	$0$	$0.448386$	Character $\chi_{5288}(1373, \cdot)$

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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.