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 227 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1832-1832.1005-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1005	$1$	✓	✓	$0.220$	$0$	$0.945671$	Character $\chi_{1832}(1005, \cdot)$
1-1832-1832.101-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.101	$1$	✓	✓	$-0.0293$	$0$	$0.447256$	Character $\chi_{1832}(101, \cdot)$
1-1832-1832.1011-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1011	$1$	✓	✓	$0.0803$	$0$	$0.570341$	Character $\chi_{1832}(1011, \cdot)$
1-1832-1832.1019-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1019	$1$	✓	✓	$-0.0373$	$0$	$1.79672$	Character $\chi_{1832}(1019, \cdot)$
1-1832-1832.1021-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1021	$1$	✓	✓	$0.224$	$0$	$0.852804$	Character $\chi_{1832}(1021, \cdot)$
1-1832-1832.1027-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1027	$1$	✓	✓	$-0.320$	$0$	$0.00411843$	Character $\chi_{1832}(1027, \cdot)$
1-1832-1832.1029-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1029	$1$	✓	✓	$0.176$	$0$	$1.01354$	Character $\chi_{1832}(1029, \cdot)$
1-1832-1832.1051-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1051	$1$	✓	✓	$-0.0803$	$0$	$0.713689$	Character $\chi_{1832}(1051, \cdot)$
1-1832-1832.1053-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1053	$1$	✓	✓	$0.324$	$0$	$0.440372$	Character $\chi_{1832}(1053, \cdot)$
1-1832-1832.1061-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1061	$1$	✓	✓	$0.224$	$0$	$1.09567$	Character $\chi_{1832}(1061, \cdot)$
1-1832-1832.1067-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1067	$1$	✓	✓	$0.360$	$0$	$0.890374$	Character $\chi_{1832}(1067, \cdot)$
1-1832-1832.1075-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1075	$1$	✓	✓	$0.0371$	$0$	$0.547288$	Character $\chi_{1832}(1075, \cdot)$
1-1832-1832.1083-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1083	$1$	✓	✓	$0.0865$	$0$	$0.629366$	Character $\chi_{1832}(1083, \cdot)$
1-1832-1832.109-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.109	$1$	✓	✓	$-0.293$	$0$	$0.0639741$	Character $\chi_{1832}(109, \cdot)$
1-1832-1832.1093-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1093	$1$	✓	✓	$0.374$	$0$	$0.0875874$	Character $\chi_{1832}(1093, \cdot)$
1-1832-1832.1099-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1099	$1$	✓	✓	$0.0948$	$0$	$0.557169$	Character $\chi_{1832}(1099, \cdot)$
1-1832-1832.11-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.11	$1$	✓	✓	$-0.0788$	$0$	$0.561726$	Character $\chi_{1832}(11, \cdot)$
1-1832-1832.1117-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1117	$1$	✓	✓	$0.353$	$0$	$0.474459$	Character $\chi_{1832}(1117, \cdot)$
1-1832-1832.1131-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1131	$1$	✓	✓	$0.259$	$0$	$0.0109599$	Character $\chi_{1832}(1131, \cdot)$
1-1832-1832.117-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.117	$1$	✓	✓	$0.265$	$0$	$1.01618$	Character $\chi_{1832}(117, \cdot)$
1-1832-1832.1171-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1171	$1$	✓	✓	$0.312$	$0$	$1.31777$	Character $\chi_{1832}(1171, \cdot)$
1-1832-1832.1173-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1173	$1$	✓	✓	$0.406$	$0$	$0.916499$	Character $\chi_{1832}(1173, \cdot)$
1-1832-1832.1187-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1187	$1$	✓	✓	$-0.0678$	$0$	$0.620552$	Character $\chi_{1832}(1187, \cdot)$
1-1832-1832.1197-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1197	$1$	✓	✓	$-0.476$	$0$	$0.320370$	Character $\chi_{1832}(1197, \cdot)$
1-1832-1832.1203-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1203	$1$	✓	✓	$-0.346$	$0$	$0.421895$	Character $\chi_{1832}(1203, \cdot)$
1-1832-1832.1227-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1227	$1$	✓	✓	$-0.242$	$0$	$0.637935$	Character $\chi_{1832}(1227, \cdot)$
1-1832-1832.1229-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1229	$1$	✓	✓	$0.241$	$0$	$0.803627$	Character $\chi_{1832}(1229, \cdot)$
1-1832-1832.1237-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1237	$1$	✓	✓	$-0.265$	$0$	$0.154007$	Character $\chi_{1832}(1237, \cdot)$
1-1832-1832.1261-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1261	$1$	✓	✓	$-0.392$	$0$	$0.112204$	Character $\chi_{1832}(1261, \cdot)$
1-1832-1832.1269-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1269	$1$	✓	✓	$0.0318$	$0$	$0.552654$	Character $\chi_{1832}(1269, \cdot)$
1-1832-1832.1275-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1275	$1$	✓	✓	$-0.395$	$0$	$1.22954$	Character $\chi_{1832}(1275, \cdot)$
1-1832-1832.1283-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1283	$1$	✓	✓	$0.492$	$0$	$1.21812$	Character $\chi_{1832}(1283, \cdot)$
1-1832-1832.1285-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1285	$1$	✓	✓	$-0.300$	$0$	$0.658349$	Character $\chi_{1832}(1285, \cdot)$
1-1832-1832.1291-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1291	$1$	✓	✓	$0.130$	$0$	$0.944910$	Character $\chi_{1832}(1291, \cdot)$
1-1832-1832.1299-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1299	$1$	✓	✓	$0.346$	$0$	$1.08159$	Character $\chi_{1832}(1299, \cdot)$
1-1832-1832.13-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.13	$1$	✓	✓	$-0.442$	$0$	$0.226016$	Character $\chi_{1832}(13, \cdot)$
1-1832-1832.1301-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1301	$1$	✓	✓	$0.114$	$0$	$0.312443$	Character $\chi_{1832}(1301, \cdot)$
1-1832-1832.1309-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1309	$1$	✓	✓	$0.414$	$0$	$1.11742$	Character $\chi_{1832}(1309, \cdot)$
1-1832-1832.1323-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1323	$1$	✓	✓	$-0.374$	$0$	$0.226787$	Character $\chi_{1832}(1323, \cdot)$
1-1832-1832.133-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.133	$1$	✓	✓	$0.277$	$0$	$1.15335$	Character $\chi_{1832}(133, \cdot)$
1-1832-1832.1331-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1331	$1$	✓	✓	$-0.270$	$0$	$0.105286$	Character $\chi_{1832}(1331, \cdot)$
1-1832-1832.1333-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1333	$1$	✓	✓	$-0.0167$	$0$	$0.303997$	Character $\chi_{1832}(1333, \cdot)$
1-1832-1832.1347-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1347	$1$	✓	✓	$-0.335$	$0$	$0.0867168$	Character $\chi_{1832}(1347, \cdot)$
1-1832-1832.1355-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1355	$1$	✓	✓	$0.221$	$0$	$1.38899$	Character $\chi_{1832}(1355, \cdot)$
1-1832-1832.1363-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1363	$1$	✓	✓	$0.218$	$0$	$1.24948$	Character $\chi_{1832}(1363, \cdot)$
1-1832-1832.1371-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1371	$1$	✓	✓	$0.193$	$0$	$0.110085$	Character $\chi_{1832}(1371, \cdot)$
1-1832-1832.1379-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1379	$1$	✓	✓	$-0.245$	$0$	$0.434059$	Character $\chi_{1832}(1379, \cdot)$
1-1832-1832.1381-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1381	$1$	✓	✓	$-0.125$	$0$	$0.0797982$	Character $\chi_{1832}(1381, \cdot)$
1-1832-1832.1397-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1397	$1$	✓	✓	$-0.247$	$0$	$0.305537$	Character $\chi_{1832}(1397, \cdot)$
1-1832-1832.1405-r1-0-0	$196.$	$196.$	$1$	$2^{3} \cdot 229$	1832.1405	$1$	✓	✓	$-0.277$	$0$	$0.497967$	Character $\chi_{1832}(1405, \cdot)$

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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.