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 256 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-48e2-2304.1019-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1019	$0$	✓	✓	$-0.0551$	$0$	$0.894833$	Character $\chi_{2304}(1019, \cdot)$
1-48e2-2304.1021-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1021	$0$	✓	✓	$-0.413$	$0$	$0.0832904$	Character $\chi_{2304}(1021, \cdot)$
1-48e2-2304.1067-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1067	$0$	✓	✓	$0.469$	$0$	$1.53512$	Character $\chi_{2304}(1067, \cdot)$
1-48e2-2304.1069-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1069	$0$	✓	✓	$-0.125$	$0$	$0.569652$	Character $\chi_{2304}(1069, \cdot)$
1-48e2-2304.1091-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1091	$0$	✓	✓	$-0.219$	$0$	$0.470901$	Character $\chi_{2304}(1091, \cdot)$
1-48e2-2304.1093-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1093	$0$	✓	✓	$0.000434$	$0$	$0.569047$	Character $\chi_{2304}(1093, \cdot)$
1-48e2-2304.11-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.11	$0$	✓	✓	$0.163$	$0$	$0.843871$	Character $\chi_{2304}(11, \cdot)$
1-48e2-2304.1139-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1139	$0$	✓	✓	$0.0551$	$0$	$0.720869$	Character $\chi_{2304}(1139, \cdot)$
1-48e2-2304.1141-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1141	$0$	✓	✓	$0.163$	$0$	$1.31616$	Character $\chi_{2304}(1141, \cdot)$
1-48e2-2304.1163-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1163	$0$	✓	✓	$-0.336$	$0$	$0.264137$	Character $\chi_{2304}(1163, \cdot)$
1-48e2-2304.1165-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1165	$0$	✓	✓	$-0.444$	$0$	$0.251573$	Character $\chi_{2304}(1165, \cdot)$
1-48e2-2304.1211-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1211	$0$	✓	✓	$0.000434$	$0$	$0.778533$	Character $\chi_{2304}(1211, \cdot)$
1-48e2-2304.1213-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1213	$0$	✓	✓	$-0.219$	$0$	$0.338571$	Character $\chi_{2304}(1213, \cdot)$
1-48e2-2304.1235-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1235	$0$	✓	✓	$-0.125$	$0$	$0.646288$	Character $\chi_{2304}(1235, \cdot)$
1-48e2-2304.1237-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1237	$0$	✓	✓	$0.469$	$0$	$0.119892$	Character $\chi_{2304}(1237, \cdot)$
1-48e2-2304.1283-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1283	$0$	✓	✓	$0.0863$	$0$	$0.886217$	Character $\chi_{2304}(1283, \cdot)$
1-48e2-2304.1285-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1285	$0$	✓	✓	$0.444$	$0$	$1.39338$	Character $\chi_{2304}(1285, \cdot)$
1-48e2-2304.13-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.13	$0$	✓	✓	$-0.444$	$0$	$0.149224$	Character $\chi_{2304}(13, \cdot)$
1-48e2-2304.1307-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1307	$0$	✓	✓	$-0.430$	$0$	$1.33723$	Character $\chi_{2304}(1307, \cdot)$
1-48e2-2304.1309-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1309	$0$	✓	✓	$-0.413$	$0$	$0.330478$	Character $\chi_{2304}(1309, \cdot)$
1-48e2-2304.131-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.131	$0$	✓	✓	$-0.413$	$0$	$1.66616$	Character $\chi_{2304}(131, \cdot)$
1-48e2-2304.133-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.133	$0$	✓	✓	$0.444$	$0$	$0.155164$	Character $\chi_{2304}(133, \cdot)$
1-48e2-2304.1355-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1355	$0$	✓	✓	$0.469$	$0$	$0.334739$	Character $\chi_{2304}(1355, \cdot)$
1-48e2-2304.1357-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1357	$0$	✓	✓	$0.000434$	$0$	$0.935519$	Character $\chi_{2304}(1357, \cdot)$
1-48e2-2304.1379-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1379	$0$	✓	✓	$-0.469$	$0$	$1.55223$	Character $\chi_{2304}(1379, \cdot)$
1-48e2-2304.1381-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1381	$0$	✓	✓	$-0.374$	$0$	$0.352071$	Character $\chi_{2304}(1381, \cdot)$
1-48e2-2304.1427-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1427	$0$	✓	✓	$0.430$	$0$	$1.46160$	Character $\chi_{2304}(1427, \cdot)$
1-48e2-2304.1429-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1429	$0$	✓	✓	$-0.336$	$0$	$0.523378$	Character $\chi_{2304}(1429, \cdot)$
1-48e2-2304.1451-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1451	$0$	✓	✓	$-0.0863$	$0$	$0.534477$	Character $\chi_{2304}(1451, \cdot)$
1-48e2-2304.1453-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1453	$0$	✓	✓	$0.430$	$0$	$1.40641$	Character $\chi_{2304}(1453, \cdot)$
1-48e2-2304.1499-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1499	$0$	✓	✓	$0.125$	$0$	$0.790870$	Character $\chi_{2304}(1499, \cdot)$
1-48e2-2304.1501-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1501	$0$	✓	✓	$0.280$	$0$	$0.884765$	Character $\chi_{2304}(1501, \cdot)$
1-48e2-2304.1523-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1523	$0$	✓	✓	$0.000434$	$0$	$0.661677$	Character $\chi_{2304}(1523, \cdot)$
1-48e2-2304.1525-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1525	$0$	✓	✓	$0.219$	$0$	$1.28487$	Character $\chi_{2304}(1525, \cdot)$
1-48e2-2304.155-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.155	$0$	✓	✓	$-0.430$	$0$	$0.234387$	Character $\chi_{2304}(155, \cdot)$
1-48e2-2304.157-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.157	$0$	✓	✓	$0.0863$	$0$	$0.826815$	Character $\chi_{2304}(157, \cdot)$
1-48e2-2304.1571-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1571	$0$	✓	✓	$0.336$	$0$	$1.01982$	Character $\chi_{2304}(1571, \cdot)$
1-48e2-2304.1573-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1573	$0$	✓	✓	$-0.430$	$0$	$0.493353$	Character $\chi_{2304}(1573, \cdot)$
1-48e2-2304.1595-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1595	$0$	✓	✓	$-0.0551$	$0$	$0.855310$	Character $\chi_{2304}(1595, \cdot)$
1-48e2-2304.1597-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1597	$0$	✓	✓	$-0.163$	$0$	$0.518034$	Character $\chi_{2304}(1597, \cdot)$
1-48e2-2304.1643-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1643	$0$	✓	✓	$0.219$	$0$	$0.997705$	Character $\chi_{2304}(1643, \cdot)$
1-48e2-2304.1645-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1645	$0$	✓	✓	$0.374$	$0$	$1.27751$	Character $\chi_{2304}(1645, \cdot)$
1-48e2-2304.1667-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1667	$0$	✓	✓	$-0.469$	$0$	$0.351164$	Character $\chi_{2304}(1667, \cdot)$
1-48e2-2304.1669-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1669	$0$	✓	✓	$0.000434$	$0$	$0.675832$	Character $\chi_{2304}(1669, \cdot)$
1-48e2-2304.1715-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1715	$0$	✓	✓	$0.0551$	$0$	$0.683199$	Character $\chi_{2304}(1715, \cdot)$
1-48e2-2304.1717-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1717	$0$	✓	✓	$-0.0863$	$0$	$0.670566$	Character $\chi_{2304}(1717, \cdot)$
1-48e2-2304.1739-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1739	$0$	✓	✓	$-0.0863$	$0$	$0.858872$	Character $\chi_{2304}(1739, \cdot)$
1-48e2-2304.1741-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1741	$0$	✓	✓	$-0.444$	$0$	$0.144957$	Character $\chi_{2304}(1741, \cdot)$
1-48e2-2304.1787-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1787	$0$	✓	✓	$0.000434$	$0$	$0.805686$	Character $\chi_{2304}(1787, \cdot)$
1-48e2-2304.1789-r0-0-0	$10.6$	$10.6$	$1$	$2^{8} \cdot 3^{2}$	2304.1789	$0$	✓	✓	$0.0308$	$0$	$1.06014$	Character $\chi_{2304}(1789, \cdot)$

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