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 272 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2736-2736.1003-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1003	$0$	✓	✓	$-0.0261$	$0$	$0.754215$	Character $\chi_{2736}(1003, \cdot)$
1-2736-2736.1069-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1069	$0$	✓	✓	$-0.0979$	$0$	$0.465756$	Character $\chi_{2736}(1069, \cdot)$
1-2736-2736.1085-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1085	$0$	✓	✓	$0.142$	$0$	$1.16651$	Character $\chi_{2736}(1085, \cdot)$
1-2736-2736.11-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.11	$0$	✓	✓	$-0.0564$	$0$	$0.873848$	Character $\chi_{2736}(11, \cdot)$
1-2736-2736.1123-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1123	$0$	✓	✓	$-0.246$	$0$	$0.541896$	Character $\chi_{2736}(1123, \cdot)$
1-2736-2736.1163-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1163	$0$	✓	✓	$-0.290$	$0$	$0.324380$	Character $\chi_{2736}(1163, \cdot)$
1-2736-2736.1165-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1165	$0$	✓	✓	$0.476$	$0$	$0.160417$	Character $\chi_{2736}(1165, \cdot)$
1-2736-2736.1181-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1181	$0$	✓	✓	$0.173$	$0$	$0.855336$	Character $\chi_{2736}(1181, \cdot)$
1-2736-2736.1213-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1213	$0$	✓	✓	$0.148$	$0$	$0.814140$	Character $\chi_{2736}(1213, \cdot)$
1-2736-2736.1219-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1219	$0$	✓	✓	$0.0626$	$0$	$0.940100$	Character $\chi_{2736}(1219, \cdot)$
1-2736-2736.1229-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1229	$0$	✓	✓	$0.451$	$0$	$1.19293$	Character $\chi_{2736}(1229, \cdot)$
1-2736-2736.1253-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1253	$0$	✓	✓	$0.493$	$0$	$1.58199$	Character $\chi_{2736}(1253, \cdot)$
1-2736-2736.1267-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1267	$0$	✓	✓	$0.0623$	$0$	$0.683563$	Character $\chi_{2736}(1267, \cdot)$
1-2736-2736.1291-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1291	$0$	✓	✓	$-0.118$	$0$	$0.701604$	Character $\chi_{2736}(1291, \cdot)$
1-2736-2736.1309-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1309	$0$	✓	✓	$-0.0233$	$0$	$0.564175$	Character $\chi_{2736}(1309, \cdot)$
1-2736-2736.131-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.131	$0$	✓	✓	$0.476$	$0$	$0.310064$	Character $\chi_{2736}(131, \cdot)$
1-2736-2736.1325-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1325	$0$	✓	✓	$0.0261$	$0$	$0.682507$	Character $\chi_{2736}(1325, \cdot)$
1-2736-2736.1355-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1355	$0$	✓	✓	$-0.148$	$0$	$0.765811$	Character $\chi_{2736}(1355, \cdot)$
1-2736-2736.1363-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1363	$0$	✓	✓	$-0.0850$	$0$	$0.734841$	Character $\chi_{2736}(1363, \cdot)$
1-2736-2736.1379-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1379	$0$	✓	✓	$0.0685$	$0$	$0.735112$	Character $\chi_{2736}(1379, \cdot)$
1-2736-2736.1397-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1397	$0$	✓	✓	$-0.142$	$0$	$0.664158$	Character $\chi_{2736}(1397, \cdot)$
1-2736-2736.1429-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1429	$0$	✓	✓	$0.209$	$0$	$0.977602$	Character $\chi_{2736}(1429, \cdot)$
1-2736-2736.1435-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1435	$0$	✓	✓	$0.246$	$0$	$1.36413$	Character $\chi_{2736}(1435, \cdot)$
1-2736-2736.1451-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1451	$0$	✓	✓	$-0.457$	$0$	$0.226999$	Character $\chi_{2736}(1451, \cdot)$
1-2736-2736.1453-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1453	$0$	✓	✓	$-0.462$	$0$	$1.22278$	Character $\chi_{2736}(1453, \cdot)$
1-2736-2736.1499-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1499	$0$	✓	✓	$0.351$	$0$	$1.18143$	Character $\chi_{2736}(1499, \cdot)$
1-2736-2736.1525-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1525	$0$	✓	✓	$0.165$	$0$	$1.11931$	Character $\chi_{2736}(1525, \cdot)$
1-2736-2736.1541-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1541	$0$	✓	✓	$0.128$	$0$	$1.01838$	Character $\chi_{2736}(1541, \cdot)$
1-2736-2736.157-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.157	$0$	✓	✓	$-0.209$	$0$	$0.495891$	Character $\chi_{2736}(157, \cdot)$
1-2736-2736.1579-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1579	$0$	✓	✓	$-0.482$	$0$	$0.473485$	Character $\chi_{2736}(1579, \cdot)$
1-2736-2736.1589-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1589	$0$	✓	✓	$-0.383$	$0$	$0.453387$	Character $\chi_{2736}(1589, \cdot)$
1-2736-2736.1627-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1627	$0$	✓	✓	$-0.272$	$0$	$0.405622$	Character $\chi_{2736}(1627, \cdot)$
1-2736-2736.1643-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1643	$0$	✓	✓	$-0.0877$	$0$	$0.774114$	Character $\chi_{2736}(1643, \cdot)$
1-2736-2736.1645-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1645	$0$	✓	✓	$0.0685$	$0$	$0.911208$	Character $\chi_{2736}(1645, \cdot)$
1-2736-2736.1661-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1661	$0$	✓	✓	$-0.227$	$0$	$0.627084$	Character $\chi_{2736}(1661, \cdot)$
1-2736-2736.1669-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1669	$0$	✓	✓	$0.412$	$0$	$1.21324$	Character $\chi_{2736}(1669, \cdot)$
1-2736-2736.1685-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1685	$0$	✓	✓	$0.437$	$0$	$0.0959854$	Character $\chi_{2736}(1685, \cdot)$
1-2736-2736.1699-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1699	$0$	✓	✓	$0.383$	$0$	$0.135736$	Character $\chi_{2736}(1699, \cdot)$
1-2736-2736.1715-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1715	$0$	✓	✓	$0.290$	$0$	$1.10695$	Character $\chi_{2736}(1715, \cdot)$
1-2736-2736.1717-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1717	$0$	✓	✓	$0.0425$	$0$	$1.04254$	Character $\chi_{2736}(1717, \cdot)$
1-2736-2736.1723-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1723	$0$	✓	✓	$-0.173$	$0$	$0.409782$	Character $\chi_{2736}(1723, \cdot)$
1-2736-2736.173-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.173	$0$	✓	✓	$-0.246$	$0$	$0.263931$	Character $\chi_{2736}(173, \cdot)$
1-2736-2736.1811-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1811	$0$	✓	✓	$-0.412$	$0$	$0.0348288$	Character $\chi_{2736}(1811, \cdot)$
1-2736-2736.1859-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1859	$0$	✓	✓	$-0.462$	$0$	$0.262495$	Character $\chi_{2736}(1859, \cdot)$
1-2736-2736.1877-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1877	$0$	✓	✓	$-0.0261$	$0$	$0.437881$	Character $\chi_{2736}(1877, \cdot)$
1-2736-2736.1885-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1885	$0$	✓	✓	$-0.277$	$0$	$0.0423093$	Character $\chi_{2736}(1885, \cdot)$
1-2736-2736.1915-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1915	$0$	✓	✓	$0.0850$	$0$	$0.676448$	Character $\chi_{2736}(1915, \cdot)$
1-2736-2736.1955-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.1955	$0$	✓	✓	$0.0877$	$0$	$0.907390$	Character $\chi_{2736}(1955, \cdot)$
1-2736-2736.2045-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.2045	$0$	✓	✓	$-0.147$	$0$	$0.782042$	Character $\chi_{2736}(2045, \cdot)$
1-2736-2736.2075-r0-0-0	$12.7$	$12.7$	$1$	$2^{4} \cdot 3^{2} \cdot 19$	2736.2075	$0$	✓	✓	$0.0979$	$0$	$1.02450$	Character $\chi_{2736}(2075, \cdot)$

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Elliptic 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.