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 156 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2952-2952.1019-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1019	$1$	✓	✓	$0.0818$	$0$	$0.871262$	Character $\chi_{2952}(1019, \cdot)$
1-2952-2952.1069-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1069	$1$	✓	✓	$-0.0397$	$0$	$0.370947$	Character $\chi_{2952}(1069, \cdot)$
1-2952-2952.1075-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1075	$1$	✓	✓	$0.0814$	$0$	$0.600193$	Character $\chi_{2952}(1075, \cdot)$
1-2952-2952.1093-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1093	$1$	✓	✓	$0.212$	$0$	$1.03614$	Character $\chi_{2952}(1093, \cdot)$
1-2952-2952.11-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.11	$1$	✓	✓	$0.0286$	$0$	$0.766594$	Character $\chi_{2952}(11, \cdot)$
1-2952-2952.1109-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1109	$1$	✓	✓	$0.470$	$0$	$0.0283154$	Character $\chi_{2952}(1109, \cdot)$
1-2952-2952.1123-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1123	$1$	✓	✓	$0.00653$	$0$	$0.357112$	Character $\chi_{2952}(1123, \cdot)$
1-2952-2952.1141-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1141	$1$	✓	✓	$0.112$	$0$	$0.327129$	Character $\chi_{2952}(1141, \cdot)$
1-2952-2952.1147-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1147	$1$	✓	✓	$-0.222$	$0$	$0.0855751$	Character $\chi_{2952}(1147, \cdot)$
1-2952-2952.115-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.115	$1$	✓	✓	$0.458$	$0$	$0.244079$	Character $\chi_{2952}(115, \cdot)$
1-2952-2952.1157-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1157	$1$	✓	✓	$-0.168$	$0$	$0.0623372$	Character $\chi_{2952}(1157, \cdot)$
1-2952-2952.1163-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1163	$1$	✓	✓	$-0.0842$	$0$	$0.453702$	Character $\chi_{2952}(1163, \cdot)$
1-2952-2952.1165-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1165	$1$	✓	✓	$0.364$	$0$	$0.719484$	Character $\chi_{2952}(1165, \cdot)$
1-2952-2952.1181-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1181	$1$	✓	✓	$-0.291$	$0$	$0.0863672$	Character $\chi_{2952}(1181, \cdot)$
1-2952-2952.1211-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1211	$1$	✓	✓	$0.0410$	$0$	$0.523664$	Character $\chi_{2952}(1211, \cdot)$
1-2952-2952.1213-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1213	$1$	✓	✓	$0.233$	$0$	$0.919289$	Character $\chi_{2952}(1213, \cdot)$
1-2952-2952.1229-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1229	$1$	✓	✓	$-0.472$	$0$	$0.428151$	Character $\chi_{2952}(1229, \cdot)$
1-2952-2952.1237-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1237	$1$	✓	✓	$0.230$	$0$	$0.606972$	Character $\chi_{2952}(1237, \cdot)$
1-2952-2952.1253-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1253	$1$	✓	✓	$-0.348$	$0$	$0.114158$	Character $\chi_{2952}(1253, \cdot)$
1-2952-2952.1267-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1267	$1$	✓	✓	$0.417$	$0$	$0.808202$	Character $\chi_{2952}(1267, \cdot)$
1-2952-2952.1283-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1283	$1$	✓	✓	$0.0166$	$0$	$0.763429$	Character $\chi_{2952}(1283, \cdot)$
1-2952-2952.1285-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1285	$1$	✓	✓	$0.484$	$0$	$1.18074$	Character $\chi_{2952}(1285, \cdot)$
1-2952-2952.1291-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1291	$1$	✓	✓	$-0.413$	$0$	$0.382174$	Character $\chi_{2952}(1291, \cdot)$
1-2952-2952.13-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.13	$1$	✓	✓	$-0.245$	$0$	$1.49001$	Character $\chi_{2952}(13, \cdot)$
1-2952-2952.1309-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1309	$1$	✓	✓	$0.343$	$0$	$0.674085$	Character $\chi_{2952}(1309, \cdot)$
1-2952-2952.1363-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1363	$1$	✓	✓	$-0.417$	$0$	$0.258905$	Character $\chi_{2952}(1363, \cdot)$
1-2952-2952.1373-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1373	$1$	✓	✓	$0.336$	$0$	$0.579357$	Character $\chi_{2952}(1373, \cdot)$
1-2952-2952.1379-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1379	$1$	✓	✓	$0.237$	$0$	$0.0796903$	Character $\chi_{2952}(1379, \cdot)$
1-2952-2952.1381-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1381	$1$	✓	✓	$-0.235$	$0$	$0.257107$	Character $\chi_{2952}(1381, \cdot)$
1-2952-2952.139-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.139	$1$	✓	✓	$-0.437$	$0$	$1.04480$	Character $\chi_{2952}(139, \cdot)$
1-2952-2952.1429-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1429	$1$	✓	✓	$0.331$	$0$	$0.926488$	Character $\chi_{2952}(1429, \cdot)$
1-2952-2952.1445-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1445	$1$	✓	✓	$0.332$	$0$	$1.21265$	Character $\chi_{2952}(1445, \cdot)$
1-2952-2952.1507-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1507	$1$	✓	✓	$-0.211$	$0$	$0.226594$	Character $\chi_{2952}(1507, \cdot)$
1-2952-2952.1523-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1523	$1$	✓	✓	$-0.480$	$0$	$1.40509$	Character $\chi_{2952}(1523, \cdot)$
1-2952-2952.157-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.157	$1$	✓	✓	$-0.331$	$0$	$0.490020$	Character $\chi_{2952}(157, \cdot)$
1-2952-2952.1571-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1571	$1$	✓	✓	$0.00484$	$0$	$0.743139$	Character $\chi_{2952}(1571, \cdot)$
1-2952-2952.1573-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1573	$1$	✓	✓	$0.165$	$0$	$0.661583$	Character $\chi_{2952}(1573, \cdot)$
1-2952-2952.1579-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1579	$1$	✓	✓	$-0.220$	$0$	$0.330600$	Character $\chi_{2952}(1579, \cdot)$
1-2952-2952.1589-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1589	$1$	✓	✓	$-0.461$	$0$	$0.0909520$	Character $\chi_{2952}(1589, \cdot)$
1-2952-2952.1643-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1643	$1$	✓	✓	$-0.234$	$0$	$0.484425$	Character $\chi_{2952}(1643, \cdot)$
1-2952-2952.1661-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1661	$1$	✓	✓	$-0.470$	$0$	$1.06492$	Character $\chi_{2952}(1661, \cdot)$
1-2952-2952.1667-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1667	$1$	✓	✓	$0.406$	$0$	$1.05343$	Character $\chi_{2952}(1667, \cdot)$
1-2952-2952.1669-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1669	$1$	✓	✓	$0.190$	$0$	$0.875477$	Character $\chi_{2952}(1669, \cdot)$
1-2952-2952.1685-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1685	$1$	✓	✓	$0.461$	$0$	$1.06321$	Character $\chi_{2952}(1685, \cdot)$
1-2952-2952.1699-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1699	$1$	✓	✓	$0.437$	$0$	$0.0567204$	Character $\chi_{2952}(1699, \cdot)$
1-2952-2952.1715-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1715	$1$	✓	✓	$-0.0818$	$0$	$0.332420$	Character $\chi_{2952}(1715, \cdot)$
1-2952-2952.173-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.173	$1$	✓	✓	$-0.224$	$0$	$0.572518$	Character $\chi_{2952}(173, \cdot)$
1-2952-2952.1739-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1739	$1$	✓	✓	$-0.440$	$0$	$0.874074$	Character $\chi_{2952}(1739, \cdot)$
1-2952-2952.1741-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1741	$1$	✓	✓	$-0.199$	$0$	$0.181426$	Character $\chi_{2952}(1741, \cdot)$
1-2952-2952.1771-r1-0-0	$317.$	$317.$	$1$	$2^{3} \cdot 3^{2} \cdot 41$	2952.1771	$1$	✓	✓	$-0.234$	$0$	$0.147015$	Character $\chi_{2952}(1771, \cdot)$

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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.