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 88 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1872-1872.101-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.101	$1$	✓	✓	$0.241$	$0$	$0.763798$	Character $\chi_{1872}(101, \cdot)$
1-1872-1872.1013-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1013	$1$	✓	✓	$0.0486$	$0$	$0.575291$	Character $\chi_{1872}(1013, \cdot)$
1-1872-1872.1019-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1019	$1$	✓	✓	$-0.126$	$0$	$0.755907$	Character $\chi_{1872}(1019, \cdot)$
1-1872-1872.1021-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1021	$1$	✓	✓	$-0.238$	$0$	$0.532582$	Character $\chi_{1872}(1021, \cdot)$
1-1872-1872.1037-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1037	$1$	✓	✓	$-0.133$	$0$	$0.356688$	Character $\chi_{1872}(1037, \cdot)$
1-1872-1872.1075-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1075	$1$	✓	✓	$0.464$	$0$	$1.02515$	Character $\chi_{1872}(1075, \cdot)$
1-1872-1872.11-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.11	$1$	✓	✓	$0.332$	$0$	$1.01411$	Character $\chi_{1872}(11, \cdot)$
1-1872-1872.1109-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1109	$1$	✓	✓	$0.411$	$0$	$0.0907300$	Character $\chi_{1872}(1109, \cdot)$
1-1872-1872.1139-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1139	$1$	✓	✓	$0.126$	$0$	$0.904565$	Character $\chi_{1872}(1139, \cdot)$
1-1872-1872.1147-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1147	$1$	✓	✓	$-0.242$	$0$	$0.464152$	Character $\chi_{1872}(1147, \cdot)$
1-1872-1872.1163-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1163	$1$	✓	✓	$-0.179$	$0$	$0.442924$	Character $\chi_{1872}(1163, \cdot)$
1-1872-1872.1165-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1165	$1$	✓	✓	$0.126$	$0$	$0.483345$	Character $\chi_{1872}(1165, \cdot)$
1-1872-1872.1195-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1195	$1$	✓	✓	$0.326$	$0$	$1.23465$	Character $\chi_{1872}(1195, \cdot)$
1-1872-1872.1211-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1211	$1$	✓	✓	$-0.0388$	$0$	$0.461826$	Character $\chi_{1872}(1211, \cdot)$
1-1872-1872.1219-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1219	$1$	✓	✓	$-0.411$	$0$	$0.216367$	Character $\chi_{1872}(1219, \cdot)$
1-1872-1872.1237-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1237	$1$	✓	✓	$0.461$	$0$	$0.0434596$	Character $\chi_{1872}(1237, \cdot)$
1-1872-1872.1285-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1285	$1$	✓	✓	$0.332$	$0$	$0.961612$	Character $\chi_{1872}(1285, \cdot)$
1-1872-1872.1291-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1291	$1$	✓	✓	$-0.366$	$0$	$1.43791$	Character $\chi_{1872}(1291, \cdot)$
1-1872-1872.1307-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1307	$1$	✓	✓	$-0.0861$	$0$	$0.347143$	Character $\chi_{1872}(1307, \cdot)$
1-1872-1872.1325-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1325	$1$	✓	✓	$-0.0486$	$0$	$0.454029$	Character $\chi_{1872}(1325, \cdot)$
1-1872-1872.1357-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1357	$1$	✓	✓	$0.498$	$0$	$0.141124$	Character $\chi_{1872}(1357, \cdot)$
1-1872-1872.139-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.139	$1$	✓	✓	$0.339$	$0$	$0.0221993$	Character $\chi_{1872}(139, \cdot)$
1-1872-1872.1451-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1451	$1$	✓	✓	$0.279$	$0$	$0.658964$	Character $\chi_{1872}(1451, \cdot)$
1-1872-1872.1501-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1501	$1$	✓	✓	$0.445$	$0$	$0.126288$	Character $\chi_{1872}(1501, \cdot)$
1-1872-1872.1507-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1507	$1$	✓	✓	$-0.326$	$0$	$0.411758$	Character $\chi_{1872}(1507, \cdot)$
1-1872-1872.1517-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1517	$1$	✓	✓	$0.464$	$0$	$1.33508$	Character $\chi_{1872}(1517, \cdot)$
1-1872-1872.1523-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1523	$1$	✓	✓	$0.363$	$0$	$0.804042$	Character $\chi_{1872}(1523, \cdot)$
1-1872-1872.1571-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1571	$1$	✓	✓	$0.179$	$0$	$0.821776$	Character $\chi_{1872}(1571, \cdot)$
1-1872-1872.1589-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1589	$1$	✓	✓	$0.257$	$0$	$0.590848$	Character $\chi_{1872}(1589, \cdot)$
1-1872-1872.1597-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1597	$1$	✓	✓	$0.179$	$0$	$0.893694$	Character $\chi_{1872}(1597, \cdot)$
1-1872-1872.1643-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1643	$1$	✓	✓	$-0.404$	$0$	$0.138376$	Character $\chi_{1872}(1643, \cdot)$
1-1872-1872.1645-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1645	$1$	✓	✓	$-0.461$	$0$	$1.09471$	Character $\chi_{1872}(1645, \cdot)$
1-1872-1872.1661-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1661	$1$	✓	✓	$-0.411$	$0$	$1.29476$	Character $\chi_{1872}(1661, \cdot)$
1-1872-1872.1669-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1669	$1$	✓	✓	$0.0954$	$0$	$0.723092$	Character $\chi_{1872}(1669, \cdot)$
1-1872-1872.1699-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1699	$1$	✓	✓	$0.242$	$0$	$1.05481$	Character $\chi_{1872}(1699, \cdot)$
1-1872-1872.173-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.173	$1$	✓	✓	$0.0367$	$0$	$0.925367$	Character $\chi_{1872}(173, \cdot)$
1-1872-1872.1733-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1733	$1$	✓	✓	$0.133$	$0$	$0.851483$	Character $\chi_{1872}(1733, \cdot)$
1-1872-1872.1771-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1771	$1$	✓	✓	$-0.464$	$0$	$0.204098$	Character $\chi_{1872}(1771, \cdot)$
1-1872-1872.1787-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1787	$1$	✓	✓	$-0.457$	$0$	$1.41985$	Character $\chi_{1872}(1787, \cdot)$
1-1872-1872.1789-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1789	$1$	✓	✓	$-0.0954$	$0$	$0.351605$	Character $\chi_{1872}(1789, \cdot)$
1-1872-1872.1813-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1813	$1$	✓	✓	$0.0424$	$0$	$0.418426$	Character $\chi_{1872}(1813, \cdot)$
1-1872-1872.1829-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1829	$1$	✓	✓	$0.117$	$0$	$0.814350$	Character $\chi_{1872}(1829, \cdot)$
1-1872-1872.1843-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1843	$1$	✓	✓	$0.366$	$0$	$0.195324$	Character $\chi_{1872}(1843, \cdot)$
1-1872-1872.1861-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.1861	$1$	✓	✓	$0.238$	$0$	$0.802203$	Character $\chi_{1872}(1861, \cdot)$
1-1872-1872.203-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.203	$1$	✓	✓	$0.00181$	$0$	$0.579857$	Character $\chi_{1872}(203, \cdot)$
1-1872-1872.211-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.211	$1$	✓	✓	$-0.117$	$0$	$0.480228$	Character $\chi_{1872}(211, \cdot)$
1-1872-1872.227-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.227	$1$	✓	✓	$-0.0547$	$0$	$0.268261$	Character $\chi_{1872}(227, \cdot)$
1-1872-1872.229-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.229	$1$	✓	✓	$0.498$	$0$	$1.12643$	Character $\chi_{1872}(229, \cdot)$
1-1872-1872.259-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.259	$1$	✓	✓	$0.451$	$0$	$1.12169$	Character $\chi_{1872}(259, \cdot)$
1-1872-1872.275-r1-0-0	$201.$	$201.$	$1$	$2^{4} \cdot 3^{2} \cdot 13$	1872.275	$1$	✓	✓	$0.0861$	$0$	$0.615315$	Character $\chi_{1872}(275, \cdot)$

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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.