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
1-40e2-1600.1003-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1003	$0$	✓	✓	$-0.219$	$0$	$0.179928$	Character $\chi_{1600}(1003, \cdot)$
1-40e2-1600.1021-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1021	$0$	✓	✓	$0.000625$	$0$	$1.17944$	Character $\chi_{1600}(1021, \cdot)$
1-40e2-1600.1027-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1027	$0$	✓	✓	$-0.370$	$0$	$0.203224$	Character $\chi_{1600}(1027, \cdot)$
1-40e2-1600.1029-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1029	$0$	✓	✓	$-0.0943$	$0$	$1.16791$	Character $\chi_{1600}(1029, \cdot)$
1-40e2-1600.1061-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1061	$0$	✓	✓	$0.285$	$0$	$0.837632$	Character $\chi_{1600}(1061, \cdot)$
1-40e2-1600.1067-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1067	$0$	✓	✓	$0.000625$	$0$	$0.930473$	Character $\chi_{1600}(1067, \cdot)$
1-40e2-1600.1069-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1069	$0$	✓	✓	$-0.405$	$0$	$0.412017$	Character $\chi_{1600}(1069, \cdot)$
1-40e2-1600.1083-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1083	$0$	✓	✓	$-0.374$	$0$	$0.566657$	Character $\chi_{1600}(1083, \cdot)$
1-40e2-1600.109-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.109	$0$	✓	✓	$0.214$	$0$	$1.03957$	Character $\chi_{1600}(109, \cdot)$
1-40e2-1600.1109-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1109	$0$	✓	✓	$-0.379$	$0$	$1.39131$	Character $\chi_{1600}(1109, \cdot)$
1-40e2-1600.1123-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1123	$0$	✓	✓	$0.129$	$0$	$0.843995$	Character $\chi_{1600}(1123, \cdot)$
1-40e2-1600.1141-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1141	$0$	✓	✓	$0.120$	$0$	$0.739454$	Character $\chi_{1600}(1141, \cdot)$
1-40e2-1600.1147-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1147	$0$	✓	✓	$0.405$	$0$	$1.30200$	Character $\chi_{1600}(1147, \cdot)$
1-40e2-1600.1163-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1163	$0$	✓	✓	$0.370$	$0$	$1.51449$	Character $\chi_{1600}(1163, \cdot)$
1-40e2-1600.1181-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1181	$0$	✓	✓	$-0.280$	$0$	$0.889791$	Character $\chi_{1600}(1181, \cdot)$
1-40e2-1600.1187-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1187	$0$	✓	✓	$0.0893$	$0$	$1.09540$	Character $\chi_{1600}(1187, \cdot)$
1-40e2-1600.1189-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1189	$0$	✓	✓	$-0.214$	$0$	$0.678524$	Character $\chi_{1600}(1189, \cdot)$
1-40e2-1600.1203-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1203	$0$	✓	✓	$0.374$	$0$	$0.262435$	Character $\chi_{1600}(1203, \cdot)$
1-40e2-1600.1221-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1221	$0$	✓	✓	$-0.0943$	$0$	$0.450734$	Character $\chi_{1600}(1221, \cdot)$
1-40e2-1600.1227-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1227	$0$	✓	✓	$0.410$	$0$	$0.227401$	Character $\chi_{1600}(1227, \cdot)$
1-40e2-1600.1229-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1229	$0$	✓	✓	$0.374$	$0$	$1.35941$	Character $\chi_{1600}(1229, \cdot)$
1-40e2-1600.123-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.123	$0$	✓	✓	$-0.464$	$0$	$0.212759$	Character $\chi_{1600}(123, \cdot)$
1-40e2-1600.1261-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1261	$0$	✓	✓	$-0.245$	$0$	$0.618066$	Character $\chi_{1600}(1261, \cdot)$
1-40e2-1600.1267-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1267	$0$	✓	✓	$-0.405$	$0$	$0.371016$	Character $\chi_{1600}(1267, \cdot)$
1-40e2-1600.1269-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1269	$0$	✓	✓	$0.000625$	$0$	$0.591727$	Character $\chi_{1600}(1269, \cdot)$
1-40e2-1600.1283-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1283	$0$	✓	✓	$0.219$	$0$	$1.27739$	Character $\chi_{1600}(1283, \cdot)$
1-40e2-1600.1309-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1309	$0$	✓	✓	$0.339$	$0$	$1.44299$	Character $\chi_{1600}(1309, \cdot)$
1-40e2-1600.1323-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1323	$0$	✓	✓	$-0.0893$	$0$	$0.748407$	Character $\chi_{1600}(1323, \cdot)$
1-40e2-1600.1341-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1341	$0$	✓	✓	$-0.160$	$0$	$0.919212$	Character $\chi_{1600}(1341, \cdot)$
1-40e2-1600.1347-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1347	$0$	✓	✓	$0.000625$	$0$	$1.06321$	Character $\chi_{1600}(1347, \cdot)$
1-40e2-1600.1363-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1363	$0$	✓	✓	$0.464$	$0$	$0.141161$	Character $\chi_{1600}(1363, \cdot)$
1-40e2-1600.1381-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1381	$0$	✓	✓	$0.125$	$0$	$0.939931$	Character $\chi_{1600}(1381, \cdot)$
1-40e2-1600.1387-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1387	$0$	✓	✓	$-0.129$	$0$	$0.714078$	Character $\chi_{1600}(1387, \cdot)$
1-40e2-1600.1389-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1389	$0$	✓	✓	$0.245$	$0$	$1.16024$	Character $\chi_{1600}(1389, \cdot)$
1-40e2-1600.1403-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1403	$0$	✓	✓	$0.405$	$0$	$1.56148$	Character $\chi_{1600}(1403, \cdot)$
1-40e2-1600.141-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.141	$0$	✓	✓	$0.214$	$0$	$0.977283$	Character $\chi_{1600}(141, \cdot)$
1-40e2-1600.1421-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1421	$0$	✓	✓	$0.374$	$0$	$1.65674$	Character $\chi_{1600}(1421, \cdot)$
1-40e2-1600.1427-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1427	$0$	✓	✓	$0.495$	$0$	$1.70511$	Character $\chi_{1600}(1427, \cdot)$
1-40e2-1600.1429-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1429	$0$	✓	✓	$0.280$	$0$	$1.18788$	Character $\chi_{1600}(1429, \cdot)$
1-40e2-1600.1461-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1461	$0$	✓	✓	$0.160$	$0$	$1.05445$	Character $\chi_{1600}(1461, \cdot)$
1-40e2-1600.1467-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1467	$0$	✓	✓	$-0.374$	$0$	$1.79509$	Character $\chi_{1600}(1467, \cdot)$
1-40e2-1600.1469-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1469	$0$	✓	✓	$-0.280$	$0$	$0.511702$	Character $\chi_{1600}(1469, \cdot)$
1-40e2-1600.147-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.147	$0$	✓	✓	$-0.125$	$0$	$0.792649$	Character $\chi_{1600}(147, \cdot)$
1-40e2-1600.1483-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1483	$0$	✓	✓	$0.000625$	$0$	$0.426661$	Character $\chi_{1600}(1483, \cdot)$
1-40e2-1600.1509-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1509	$0$	✓	✓	$-0.245$	$0$	$0.492945$	Character $\chi_{1600}(1509, \cdot)$
1-40e2-1600.1523-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1523	$0$	✓	✓	$0.495$	$0$	$1.50468$	Character $\chi_{1600}(1523, \cdot)$
1-40e2-1600.1541-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1541	$0$	✓	✓	$-0.245$	$0$	$0.461145$	Character $\chi_{1600}(1541, \cdot)$
1-40e2-1600.1547-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1547	$0$	✓	✓	$-0.219$	$0$	$0.523301$	Character $\chi_{1600}(1547, \cdot)$
1-40e2-1600.1563-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1563	$0$	✓	✓	$0.495$	$0$	$0.310653$	Character $\chi_{1600}(1563, \cdot)$
1-40e2-1600.1581-r0-0-0	$7.43$	$7.43$	$1$	$2^{6} \cdot 5^{2}$	1600.1581	$0$	✓	✓	$-0.405$	$0$	$1.99423$	Character $\chi_{1600}(1581, \cdot)$

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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
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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.