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

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Results (1-50 of 1058 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-47e2-2209.10-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.10	$1$	✓	✓	$0.110$	$0$	$0.0410392$	Character $\chi_{2209}(10, \cdot)$
1-47e2-2209.1000-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1000	$1$	✓	✓	$0.423$	$0$	$1.23337$	Character $\chi_{2209}(1000, \cdot)$
1-47e2-2209.1002-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1002	$1$	✓	✓	$0.443$	$0$	$0.233577$	Character $\chi_{2209}(1002, \cdot)$
1-47e2-2209.1006-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1006	$1$	✓	✓	$-0.185$	$0$	$0.614125$	Character $\chi_{2209}(1006, \cdot)$
1-47e2-2209.1007-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1007	$1$	✓	✓	$-0.249$	$0$	$0.00987700$	Character $\chi_{2209}(1007, \cdot)$
1-47e2-2209.1009-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1009	$1$	✓	✓	$0.323$	$0$	$1.09142$	Character $\chi_{2209}(1009, \cdot)$
1-47e2-2209.1010-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1010	$1$	✓	✓	$-0.249$	$0$	$0.593116$	Character $\chi_{2209}(1010, \cdot)$
1-47e2-2209.1013-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1013	$1$	✓	✓	$0.0634$	$0$	$0.124575$	Character $\chi_{2209}(1013, \cdot)$
1-47e2-2209.1016-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1016	$1$	✓	✓	$0.0299$	$0$	$0.802370$	Character $\chi_{2209}(1016, \cdot)$
1-47e2-2209.1017-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1017	$1$	✓	✓	$0.456$	$0$	$1.36352$	Character $\chi_{2209}(1017, \cdot)$
1-47e2-2209.1018-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1018	$1$	✓	✓	$-0.155$	$0$	$0.253582$	Character $\chi_{2209}(1018, \cdot)$
1-47e2-2209.1020-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1020	$1$	✓	✓	$-0.128$	$0$	$0.970412$	Character $\chi_{2209}(1020, \cdot)$
1-47e2-2209.1022-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1022	$1$	✓	✓	$-0.249$	$0$	$0.602424$	Character $\chi_{2209}(1022, \cdot)$
1-47e2-2209.1025-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1025	$1$	✓	✓	$-0.363$	$0$	$0.315009$	Character $\chi_{2209}(1025, \cdot)$
1-47e2-2209.1026-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1026	$1$	✓	✓	$0.121$	$0$	$0.848112$	Character $\chi_{2209}(1026, \cdot)$
1-47e2-2209.1027-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1027	$1$	✓	✓	$0.496$	$0$	$1.29940$	Character $\chi_{2209}(1027, \cdot)$
1-47e2-2209.1028-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1028	$1$	✓	✓	$-0.0196$	$0$	$0.337608$	Character $\chi_{2209}(1028, \cdot)$
1-47e2-2209.1030-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1030	$1$	✓	✓	$-0.304$	$0$	$0.238668$	Character $\chi_{2209}(1030, \cdot)$
1-47e2-2209.1031-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1031	$1$	✓	✓	$0.166$	$0$	$0.0817200$	Character $\chi_{2209}(1031, \cdot)$
1-47e2-2209.1032-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1032	$1$	✓	✓	$-0.0912$	$0$	$0.782011$	Character $\chi_{2209}(1032, \cdot)$
1-47e2-2209.1033-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1033	$1$	✓	✓	$-0.302$	$0$	$0.357051$	Character $\chi_{2209}(1033, \cdot)$
1-47e2-2209.1039-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1039	$1$	✓	✓	$-0.458$	$0$	$0.156810$	Character $\chi_{2209}(1039, \cdot)$
1-47e2-2209.104-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.104	$1$	✓	✓	$-0.216$	$0$	$0.832920$	Character $\chi_{2209}(104, \cdot)$
1-47e2-2209.1044-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1044	$1$	✓	✓	$-0.476$	$0$	$0.207767$	Character $\chi_{2209}(1044, \cdot)$
1-47e2-2209.1045-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1045	$1$	✓	✓	$-0.371$	$0$	$0.420565$	Character $\chi_{2209}(1045, \cdot)$
1-47e2-2209.1047-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1047	$1$	✓	✓	$0.312$	$0$	$0.394218$	Character $\chi_{2209}(1047, \cdot)$
1-47e2-2209.1049-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1049	$1$	✓	✓	$-0.324$	$0$	$0.230143$	Character $\chi_{2209}(1049, \cdot)$
1-47e2-2209.105-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.105	$1$	✓	✓	$-0.149$	$0$	$0.381385$	Character $\chi_{2209}(105, \cdot)$
1-47e2-2209.1053-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1053	$1$	✓	✓	$-0.0794$	$0$	$0.536736$	Character $\chi_{2209}(1053, \cdot)$
1-47e2-2209.1054-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1054	$1$	✓	✓	$-0.208$	$0$	$0.427696$	Character $\chi_{2209}(1054, \cdot)$
1-47e2-2209.1056-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1056	$1$	✓	✓	$-0.443$	$0$	$1.57071$	Character $\chi_{2209}(1056, \cdot)$
1-47e2-2209.1057-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1057	$1$	✓	✓	$0.249$	$0$	$1.48584$	Character $\chi_{2209}(1057, \cdot)$
1-47e2-2209.1060-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1060	$1$	✓	✓	$0.416$	$0$	$0.120772$	Character $\chi_{2209}(1060, \cdot)$
1-47e2-2209.1063-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1063	$1$	✓	✓	$0.0724$	$0$	$0.169098$	Character $\chi_{2209}(1063, \cdot)$
1-47e2-2209.1065-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1065	$1$	✓	✓	$0.335$	$0$	$0.00863238$	Character $\chi_{2209}(1065, \cdot)$
1-47e2-2209.1067-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1067	$1$	✓	✓	$-0.162$	$0$	$0.621772$	Character $\chi_{2209}(1067, \cdot)$
1-47e2-2209.1069-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1069	$1$	✓	✓	$-0.105$	$0$	$0.366521$	Character $\chi_{2209}(1069, \cdot)$
1-47e2-2209.107-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.107	$1$	✓	✓	$0.175$	$0$	$1.06460$	Character $\chi_{2209}(107, \cdot)$
1-47e2-2209.1072-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1072	$1$	✓	✓	$-0.272$	$0$	$0.189849$	Character $\chi_{2209}(1072, \cdot)$
1-47e2-2209.1073-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1073	$1$	✓	✓	$-0.228$	$0$	$1.09173$	Character $\chi_{2209}(1073, \cdot)$
1-47e2-2209.1074-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1074	$1$	✓	✓	$0.458$	$0$	$1.33564$	Character $\chi_{2209}(1074, \cdot)$
1-47e2-2209.1075-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1075	$1$	✓	✓	$0.497$	$0$	$0.0280931$	Character $\chi_{2209}(1075, \cdot)$
1-47e2-2209.1077-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1077	$1$	✓	✓	$-0.141$	$0$	$1.19404$	Character $\chi_{2209}(1077, \cdot)$
1-47e2-2209.1078-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1078	$1$	✓	✓	$0.242$	$0$	$1.63060$	Character $\chi_{2209}(1078, \cdot)$
1-47e2-2209.1079-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1079	$1$	✓	✓	$-0.334$	$0$	$0.0673384$	Character $\chi_{2209}(1079, \cdot)$
1-47e2-2209.1080-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1080	$1$	✓	✓	$-0.217$	$0$	$0.260816$	Character $\chi_{2209}(1080, \cdot)$
1-47e2-2209.1086-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1086	$1$	✓	✓	$0.404$	$0$	$0.195395$	Character $\chi_{2209}(1086, \cdot)$
1-47e2-2209.109-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.109	$1$	✓	✓	$0.138$	$0$	$1.19122$	Character $\chi_{2209}(109, \cdot)$
1-47e2-2209.1091-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1091	$1$	✓	✓	$0.369$	$0$	$0.166574$	Character $\chi_{2209}(1091, \cdot)$
1-47e2-2209.1092-r1-0-0	$237.$	$237.$	$1$	$47^{2}$	2209.1092	$1$	✓	✓	$0.249$	$0$	$0.158254$	Character $\chi_{2209}(1092, \cdot)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
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.