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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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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-4729-4729.1001-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1001	$1$	✓	✓	$0.0823$	$0$	$0.336115$	Character $\chi_{4729}(1001, \cdot)$
1-4729-4729.1002-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1002	$1$	✓	✓	$0.280$	$0$	$0.459591$	Character $\chi_{4729}(1002, \cdot)$
1-4729-4729.1003-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1003	$1$	✓	✓	$0.487$	$0$	$0.786965$	Character $\chi_{4729}(1003, \cdot)$
1-4729-4729.1006-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1006	$1$	✓	✓	$0.386$	$0$	$1.18617$	Character $\chi_{4729}(1006, \cdot)$
1-4729-4729.1007-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1007	$1$	✓	✓	$-0.0564$	$0$	$0.201891$	Character $\chi_{4729}(1007, \cdot)$
1-4729-4729.1009-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1009	$1$	✓	✓	$-0.111$	$0$	$0.0951665$	Character $\chi_{4729}(1009, \cdot)$
1-4729-4729.101-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.101	$1$	✓	✓	$0.115$	$0$	$0.277036$	Character $\chi_{4729}(101, \cdot)$
1-4729-4729.1010-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1010	$1$	✓	✓	$-0.0530$	$0$	$0.503652$	Character $\chi_{4729}(1010, \cdot)$
1-4729-4729.1011-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1011	$1$	✓	✓	$-0.489$	$0$	$0.655942$	Character $\chi_{4729}(1011, \cdot)$
1-4729-4729.1015-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1015	$1$	✓	✓	$-0.289$	$0$	$0.687096$	Character $\chi_{4729}(1015, \cdot)$
1-4729-4729.1017-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1017	$1$	✓	✓	$0.275$	$0$	$0.459134$	Character $\chi_{4729}(1017, \cdot)$
1-4729-4729.1019-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1019	$1$	✓	✓	$-0.249$	$0$	$0.913021$	Character $\chi_{4729}(1019, \cdot)$
1-4729-4729.102-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.102	$1$	✓	✓	$0.446$	$0$	$0.00819773$	Character $\chi_{4729}(102, \cdot)$
1-4729-4729.1020-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1020	$1$	✓	✓	$0.198$	$0$	$0.713467$	Character $\chi_{4729}(1020, \cdot)$
1-4729-4729.1021-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1021	$1$	✓	✓	$0.00866$	$0$	$0.0844162$	Character $\chi_{4729}(1021, \cdot)$
1-4729-4729.1025-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1025	$1$	✓	✓	$-0.296$	$0$	$0.323623$	Character $\chi_{4729}(1025, \cdot)$
1-4729-4729.1027-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1027	$1$	✓	✓	$0.148$	$0$	$0.286705$	Character $\chi_{4729}(1027, \cdot)$
1-4729-4729.1028-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1028	$1$	✓	✓	$0.00584$	$0$	$0.605639$	Character $\chi_{4729}(1028, \cdot)$
1-4729-4729.103-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.103	$1$	✓	✓	$-0.115$	$0$	$0.443408$	Character $\chi_{4729}(103, \cdot)$
1-4729-4729.1030-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1030	$1$	✓	✓	$0.323$	$0$	$1.01622$	Character $\chi_{4729}(1030, \cdot)$
1-4729-4729.1032-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1032	$1$	✓	✓	$0.203$	$0$	$0.733377$	Character $\chi_{4729}(1032, \cdot)$
1-4729-4729.1033-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1033	$1$	✓	✓	$-0.423$	$0$	$0.891652$	Character $\chi_{4729}(1033, \cdot)$
1-4729-4729.1035-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1035	$1$	✓	✓	$0.497$	$0$	$1.02068$	Character $\chi_{4729}(1035, \cdot)$
1-4729-4729.1038-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1038	$1$	✓	✓	$-0.372$	$0$	$0.870572$	Character $\chi_{4729}(1038, \cdot)$
1-4729-4729.1039-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1039	$1$	✓	✓	$-0.292$	$0$	$0.589867$	Character $\chi_{4729}(1039, \cdot)$
1-4729-4729.1041-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1041	$1$	✓	✓	$0.162$	$0$	$0.178113$	Character $\chi_{4729}(1041, \cdot)$
1-4729-4729.1044-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1044	$1$	✓	✓	$-0.272$	$0$	$0.630718$	Character $\chi_{4729}(1044, \cdot)$
1-4729-4729.1045-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1045	$1$	✓	✓	$0.289$	$0$	$1.03504$	Character $\chi_{4729}(1045, \cdot)$
1-4729-4729.1046-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1046	$1$	✓	✓	$0.337$	$0$	$1.03411$	Character $\chi_{4729}(1046, \cdot)$
1-4729-4729.1049-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1049	$1$	✓	✓	$-0.0385$	$0$	$0.272118$	Character $\chi_{4729}(1049, \cdot)$
1-4729-4729.1056-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1056	$1$	✓	✓	$0.115$	$0$	$0.273421$	Character $\chi_{4729}(1056, \cdot)$
1-4729-4729.1057-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1057	$1$	✓	✓	$-0.429$	$0$	$0.600584$	Character $\chi_{4729}(1057, \cdot)$
1-4729-4729.106-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.106	$1$	✓	✓	$0.482$	$0$	$1.21972$	Character $\chi_{4729}(106, \cdot)$
1-4729-4729.1060-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1060	$1$	✓	✓	$0.225$	$0$	$0.859590$	Character $\chi_{4729}(1060, \cdot)$
1-4729-4729.1063-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1063	$1$	✓	✓	$0.200$	$0$	$0.937887$	Character $\chi_{4729}(1063, \cdot)$
1-4729-4729.1066-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1066	$1$	✓	✓	$-0.281$	$0$	$1.22374$	Character $\chi_{4729}(1066, \cdot)$
1-4729-4729.1067-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1067	$1$	✓	✓	$0.294$	$0$	$0.789771$	Character $\chi_{4729}(1067, \cdot)$
1-4729-4729.1068-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1068	$1$	✓	✓	$0.458$	$0$	$0.495882$	Character $\chi_{4729}(1068, \cdot)$
1-4729-4729.1069-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1069	$1$	✓	✓	$0.181$	$0$	$0.502229$	Character $\chi_{4729}(1069, \cdot)$
1-4729-4729.107-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.107	$1$	✓	✓	$0.447$	$0$	$0.100673$	Character $\chi_{4729}(107, \cdot)$
1-4729-4729.1070-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1070	$1$	✓	✓	$-0.171$	$0$	$0.104164$	Character $\chi_{4729}(1070, \cdot)$
1-4729-4729.1071-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1071	$1$	✓	✓	$-0.474$	$0$	$0.288875$	Character $\chi_{4729}(1071, \cdot)$
1-4729-4729.1073-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1073	$1$	✓	✓	$-0.362$	$0$	$0.175235$	Character $\chi_{4729}(1073, \cdot)$
1-4729-4729.1075-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1075	$1$	✓	✓	$-0.345$	$0$	$1.70406$	Character $\chi_{4729}(1075, \cdot)$
1-4729-4729.1076-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1076	$1$	✓	✓	$0.472$	$0$	$0.558085$	Character $\chi_{4729}(1076, \cdot)$
1-4729-4729.1077-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1077	$1$	✓	✓	$0.189$	$0$	$0.876293$	Character $\chi_{4729}(1077, \cdot)$
1-4729-4729.1078-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1078	$1$	✓	✓	$0.281$	$0$	$0.0490003$	Character $\chi_{4729}(1078, \cdot)$
1-4729-4729.1085-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1085	$1$	✓	✓	$0.464$	$0$	$0.157284$	Character $\chi_{4729}(1085, \cdot)$
1-4729-4729.1086-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1086	$1$	✓	✓	$-0.350$	$0$	$0.0876480$	Character $\chi_{4729}(1086, \cdot)$
1-4729-4729.1088-r1-0-0	$508.$	$508.$	$1$	$4729$	4729.1088	$1$	✓	✓	$-0.416$	$0$	$1.08272$	Character $\chi_{4729}(1088, \cdot)$

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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.