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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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-6025-6025.1002-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1002	$0$	✓	✓	$0.336$	$0$	$0.218650$	Character $\chi_{6025}(1002, \cdot)$
1-6025-6025.1003-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1003	$0$	✓	✓	$-0.181$	$0$	$0.305858$	Character $\chi_{6025}(1003, \cdot)$
1-6025-6025.1004-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1004	$0$	✓	✓	$-0.492$	$0$	$1.01123$	Character $\chi_{6025}(1004, \cdot)$
1-6025-6025.1008-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1008	$0$	✓	✓	$0.222$	$0$	$0.950398$	Character $\chi_{6025}(1008, \cdot)$
1-6025-6025.1009-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1009	$0$	✓	✓	$-0.0215$	$0$	$0.199579$	Character $\chi_{6025}(1009, \cdot)$
1-6025-6025.1011-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1011	$0$	✓	✓	$0.147$	$0$	$0.893183$	Character $\chi_{6025}(1011, \cdot)$
1-6025-6025.1014-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1014	$0$	✓	✓	$0.177$	$0$	$0.272742$	Character $\chi_{6025}(1014, \cdot)$
1-6025-6025.102-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.102	$0$	✓	✓	$0.397$	$0$	$1.14513$	Character $\chi_{6025}(102, \cdot)$
1-6025-6025.1027-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1027	$0$	✓	✓	$0.248$	$0$	$1.25267$	Character $\chi_{6025}(1027, \cdot)$
1-6025-6025.103-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.103	$0$	✓	✓	$-0.221$	$0$	$0.941495$	Character $\chi_{6025}(103, \cdot)$
1-6025-6025.1031-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1031	$0$	✓	✓	$0.0814$	$0$	$0.0574947$	Character $\chi_{6025}(1031, \cdot)$
1-6025-6025.1033-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1033	$0$	✓	✓	$0.167$	$0$	$0.295792$	Character $\chi_{6025}(1033, \cdot)$
1-6025-6025.1036-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1036	$0$	✓	✓	$0.218$	$0$	$1.11088$	Character $\chi_{6025}(1036, \cdot)$
1-6025-6025.1037-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1037	$0$	✓	✓	$-0.291$	$0$	$0.129821$	Character $\chi_{6025}(1037, \cdot)$
1-6025-6025.1038-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1038	$0$	✓	✓	$0.404$	$0$	$0.998153$	Character $\chi_{6025}(1038, \cdot)$
1-6025-6025.1039-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1039	$0$	✓	✓	$0.0215$	$0$	$0.467241$	Character $\chi_{6025}(1039, \cdot)$
1-6025-6025.1041-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1041	$0$	✓	✓	$-0.218$	$0$	$0.652150$	Character $\chi_{6025}(1041, \cdot)$
1-6025-6025.1042-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1042	$0$	✓	✓	$0.440$	$0$	$0.965309$	Character $\chi_{6025}(1042, \cdot)$
1-6025-6025.1044-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1044	$0$	✓	✓	$0.0783$	$0$	$0.983186$	Character $\chi_{6025}(1044, \cdot)$
1-6025-6025.1046-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1046	$0$	✓	✓	$0.460$	$0$	$0.575595$	Character $\chi_{6025}(1046, \cdot)$
1-6025-6025.1048-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1048	$0$	✓	✓	$0.0334$	$0$	$0.497529$	Character $\chi_{6025}(1048, \cdot)$
1-6025-6025.1052-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1052	$0$	✓	✓	$-0.411$	$0$	$0.164431$	Character $\chi_{6025}(1052, \cdot)$
1-6025-6025.1053-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1053	$0$	✓	✓	$-0.0302$	$0$	$0.883086$	Character $\chi_{6025}(1053, \cdot)$
1-6025-6025.1054-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1054	$0$	✓	✓	$-0.202$	$0$	$0.407892$	Character $\chi_{6025}(1054, \cdot)$
1-6025-6025.106-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.106	$0$	✓	✓	$-0.0951$	$0$	$0.773548$	Character $\chi_{6025}(106, \cdot)$
1-6025-6025.1061-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1061	$0$	✓	✓	$-0.100$	$0$	$0.805739$	Character $\chi_{6025}(1061, \cdot)$
1-6025-6025.1063-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1063	$0$	✓	✓	$0.113$	$0$	$0.972085$	Character $\chi_{6025}(1063, \cdot)$
1-6025-6025.1064-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1064	$0$	✓	✓	$0.474$	$0$	$1.46843$	Character $\chi_{6025}(1064, \cdot)$
1-6025-6025.1067-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1067	$0$	✓	✓	$0.398$	$0$	$0.800201$	Character $\chi_{6025}(1067, \cdot)$
1-6025-6025.1071-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1071	$0$	✓	✓	$0.491$	$0$	$1.14578$	Character $\chi_{6025}(1071, \cdot)$
1-6025-6025.1073-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1073	$0$	✓	✓	$0.182$	$0$	$0.835969$	Character $\chi_{6025}(1073, \cdot)$
1-6025-6025.1078-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1078	$0$	✓	✓	$0.365$	$0$	$1.20118$	Character $\chi_{6025}(1078, \cdot)$
1-6025-6025.1084-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1084	$0$	✓	✓	$-0.326$	$0$	$0.268961$	Character $\chi_{6025}(1084, \cdot)$
1-6025-6025.1086-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1086	$0$	✓	✓	$-0.369$	$0$	$0.332938$	Character $\chi_{6025}(1086, \cdot)$
1-6025-6025.1088-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1088	$0$	✓	✓	$0.263$	$0$	$0.669939$	Character $\chi_{6025}(1088, \cdot)$
1-6025-6025.1089-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1089	$0$	✓	✓	$0.266$	$0$	$1.34294$	Character $\chi_{6025}(1089, \cdot)$
1-6025-6025.1102-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1102	$0$	✓	✓	$-0.263$	$0$	$0.612778$	Character $\chi_{6025}(1102, \cdot)$
1-6025-6025.1103-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1103	$0$	✓	✓	$-0.378$	$0$	$0.314904$	Character $\chi_{6025}(1103, \cdot)$
1-6025-6025.1109-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1109	$0$	✓	✓	$-0.175$	$0$	$0.609126$	Character $\chi_{6025}(1109, \cdot)$
1-6025-6025.1111-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1111	$0$	✓	✓	$0.219$	$0$	$0.786917$	Character $\chi_{6025}(1111, \cdot)$
1-6025-6025.1112-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1112	$0$	✓	✓	$-0.394$	$0$	$1.70186$	Character $\chi_{6025}(1112, \cdot)$
1-6025-6025.1113-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1113	$0$	✓	✓	$-0.0275$	$0$	$1.23577$	Character $\chi_{6025}(1113, \cdot)$
1-6025-6025.1114-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1114	$0$	✓	✓	$0.430$	$0$	$0.741564$	Character $\chi_{6025}(1114, \cdot)$
1-6025-6025.1117-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1117	$0$	✓	✓	$-0.119$	$0$	$0.861486$	Character $\chi_{6025}(1117, \cdot)$
1-6025-6025.112-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.112	$0$	✓	✓	$0.114$	$0$	$0.632344$	Character $\chi_{6025}(112, \cdot)$
1-6025-6025.1127-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1127	$0$	✓	✓	$-0.481$	$0$	$0.202502$	Character $\chi_{6025}(1127, \cdot)$
1-6025-6025.1137-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1137	$0$	✓	✓	$0.190$	$0$	$0.655986$	Character $\chi_{6025}(1137, \cdot)$
1-6025-6025.1141-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1141	$0$	✓	✓	$-0.399$	$0$	$0.336708$	Character $\chi_{6025}(1141, \cdot)$
1-6025-6025.1142-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1142	$0$	✓	✓	$-0.260$	$0$	$0.0248884$	Character $\chi_{6025}(1142, \cdot)$
1-6025-6025.1144-r0-0-0	$27.9$	$27.9$	$1$	$5^{2} \cdot 241$	6025.1144	$0$	✓	✓	$-0.158$	$0$	$1.84946$	Character $\chi_{6025}(1144, \cdot)$

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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
Abelian varieties over $\F_{q}$

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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.