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 2380 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-6327-6327.1004-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1004	$0$	✓	✓	$0.0515$	$0$	$0.811673$	Character $\chi_{6327}(1004, \cdot)$
1-6327-6327.1010-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1010	$0$	✓	✓	$-0.480$	$0$	$0.529051$	Character $\chi_{6327}(1010, \cdot)$
1-6327-6327.1013-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1013	$0$	✓	✓	$0.0217$	$0$	$0.425711$	Character $\chi_{6327}(1013, \cdot)$
1-6327-6327.1021-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1021	$0$	✓	✓	$0.00791$	$0$	$0.847103$	Character $\chi_{6327}(1021, \cdot)$
1-6327-6327.1024-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1024	$0$	✓	✓	$-0.0810$	$0$	$0.621613$	Character $\chi_{6327}(1024, \cdot)$
1-6327-6327.103-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.103	$0$	✓	✓	$-0.118$	$0$	$0.643805$	Character $\chi_{6327}(103, \cdot)$
1-6327-6327.1031-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1031	$0$	✓	✓	$-0.204$	$0$	$0.675217$	Character $\chi_{6327}(1031, \cdot)$
1-6327-6327.1033-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1033	$0$	✓	✓	$0.309$	$0$	$0.797029$	Character $\chi_{6327}(1033, \cdot)$
1-6327-6327.1040-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1040	$0$	✓	✓	$0.200$	$0$	$0.585654$	Character $\chi_{6327}(1040, \cdot)$
1-6327-6327.1049-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1049	$0$	✓	✓	$0.0544$	$0$	$0.630522$	Character $\chi_{6327}(1049, \cdot)$
1-6327-6327.1060-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1060	$0$	✓	✓	$0.245$	$0$	$0.979287$	Character $\chi_{6327}(1060, \cdot)$
1-6327-6327.1069-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1069	$0$	✓	✓	$0.000519$	$0$	$0.462037$	Character $\chi_{6327}(1069, \cdot)$
1-6327-6327.1076-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1076	$0$	✓	✓	$-0.270$	$0$	$0.120213$	Character $\chi_{6327}(1076, \cdot)$
1-6327-6327.1078-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1078	$0$	✓	✓	$0.0405$	$0$	$0.490659$	Character $\chi_{6327}(1078, \cdot)$
1-6327-6327.1082-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1082	$0$	✓	✓	$0.00568$	$0$	$0.544723$	Character $\chi_{6327}(1082, \cdot)$
1-6327-6327.1085-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1085	$0$	✓	✓	$-0.180$	$0$	$0.636863$	Character $\chi_{6327}(1085, \cdot)$
1-6327-6327.1093-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1093	$0$	✓	✓	$0.0263$	$0$	$1.07423$	Character $\chi_{6327}(1093, \cdot)$
1-6327-6327.1096-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1096	$0$	✓	✓	$-0.449$	$0$	$0.826088$	Character $\chi_{6327}(1096, \cdot)$
1-6327-6327.110-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.110	$0$	✓	✓	$0.286$	$0$	$0.695465$	Character $\chi_{6327}(110, \cdot)$
1-6327-6327.1105-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1105	$0$	✓	✓	$-0.488$	$0$	$1.10156$	Character $\chi_{6327}(1105, \cdot)$
1-6327-6327.1118-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1118	$0$	✓	✓	$-0.0217$	$0$	$0.190538$	Character $\chi_{6327}(1118, \cdot)$
1-6327-6327.1123-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1123	$0$	✓	✓	$-0.0263$	$0$	$0.681962$	Character $\chi_{6327}(1123, \cdot)$
1-6327-6327.1127-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1127	$0$	✓	✓	$0.0291$	$0$	$0.297519$	Character $\chi_{6327}(1127, \cdot)$
1-6327-6327.1129-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1129	$0$	✓	✓	$0.457$	$0$	$0.0222800$	Character $\chi_{6327}(1129, \cdot)$
1-6327-6327.1130-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1130	$0$	✓	✓	$0.191$	$0$	$1.12417$	Character $\chi_{6327}(1130, \cdot)$
1-6327-6327.1136-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1136	$0$	✓	✓	$-0.403$	$0$	$1.44183$	Character $\chi_{6327}(1136, \cdot)$
1-6327-6327.1138-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1138	$0$	✓	✓	$-0.378$	$0$	$0.393408$	Character $\chi_{6327}(1138, \cdot)$
1-6327-6327.1145-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1145	$0$	✓	✓	$0.296$	$0$	$0.976238$	Character $\chi_{6327}(1145, \cdot)$
1-6327-6327.1154-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1154	$0$	✓	✓	$-0.240$	$0$	$0.136758$	Character $\chi_{6327}(1154, \cdot)$
1-6327-6327.1156-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1156	$0$	✓	✓	$-0.130$	$0$	$0.547533$	Character $\chi_{6327}(1156, \cdot)$
1-6327-6327.1166-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1166	$0$	✓	✓	$0.0749$	$0$	$0.592860$	Character $\chi_{6327}(1166, \cdot)$
1-6327-6327.1168-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1168	$0$	✓	✓	$0.392$	$0$	$0.00816357$	Character $\chi_{6327}(1168, \cdot)$
1-6327-6327.1172-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1172	$0$	✓	✓	$0.495$	$0$	$0.339027$	Character $\chi_{6327}(1172, \cdot)$
1-6327-6327.1181-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1181	$0$	✓	✓	$-0.239$	$0$	$1.56916$	Character $\chi_{6327}(1181, \cdot)$
1-6327-6327.1183-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1183	$0$	✓	✓	$-0.410$	$0$	$0.306054$	Character $\chi_{6327}(1183, \cdot)$
1-6327-6327.1186-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1186	$0$	✓	✓	$-0.259$	$0$	$0.553714$	Character $\chi_{6327}(1186, \cdot)$
1-6327-6327.119-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.119	$0$	✓	✓	$0.0653$	$0$	$0.602034$	Character $\chi_{6327}(119, \cdot)$
1-6327-6327.1192-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1192	$0$	✓	✓	$-0.0883$	$0$	$0.527897$	Character $\chi_{6327}(1192, \cdot)$
1-6327-6327.1193-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1193	$0$	✓	✓	$0.375$	$0$	$1.30590$	Character $\chi_{6327}(1193, \cdot)$
1-6327-6327.1195-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1195	$0$	✓	✓	$-0.400$	$0$	$1.41204$	Character $\chi_{6327}(1195, \cdot)$
1-6327-6327.1202-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1202	$0$	✓	✓	$-0.339$	$0$	$1.05952$	Character $\chi_{6327}(1202, \cdot)$
1-6327-6327.1208-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1208	$0$	✓	✓	$0.391$	$0$	$1.10924$	Character $\chi_{6327}(1208, \cdot)$
1-6327-6327.121-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.121	$0$	✓	✓	$0.267$	$0$	$0.547194$	Character $\chi_{6327}(121, \cdot)$
1-6327-6327.1211-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1211	$0$	✓	✓	$0.000117$	$0$	$0.319212$	Character $\chi_{6327}(1211, \cdot)$
1-6327-6327.1219-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1219	$0$	✓	✓	$-0.0428$	$0$	$0.651243$	Character $\chi_{6327}(1219, \cdot)$
1-6327-6327.122-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.122	$0$	✓	✓	$-0.326$	$0$	$0.876783$	Character $\chi_{6327}(122, \cdot)$
1-6327-6327.124-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.124	$0$	✓	✓	$0.147$	$0$	$1.03451$	Character $\chi_{6327}(124, \cdot)$
1-6327-6327.1244-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1244	$0$	✓	✓	$-0.0303$	$0$	$0.771323$	Character $\chi_{6327}(1244, \cdot)$
1-6327-6327.1246-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1246	$0$	✓	✓	$-0.322$	$0$	$0.0642518$	Character $\chi_{6327}(1246, \cdot)$
1-6327-6327.1247-r0-0-0	$29.3$	$29.3$	$1$	$3^{2} \cdot 19 \cdot 37$	6327.1247	$0$	✓	✓	$0.0721$	$0$	$1.08957$	Character $\chi_{6327}(1247, \cdot)$

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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.