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 1425 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1649-1649.10-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.10	$0$	✓	✓	$0.146$	$0$	$1.18175$	Character $\chi_{1649}(10, \cdot)$
1-1649-1649.100-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.100	$0$	✓	✓	$-0.287$	$0$	$0.250518$	Character $\chi_{1649}(100, \cdot)$
1-1649-1649.1000-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1000	$0$	✓	✓	$0.255$	$0$	$1.76949$	Character $\chi_{1649}(1000, \cdot)$
1-1649-1649.1001-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1001	$0$	✓	✓	$-0.188$	$0$	$0.698564$	Character $\chi_{1649}(1001, \cdot)$
1-1649-1649.1002-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1002	$0$	✓	✓	$0.200$	$0$	$0.401220$	Character $\chi_{1649}(1002, \cdot)$
1-1649-1649.1005-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1005	$0$	✓	✓	$-0.188$	$0$	$0.631245$	Character $\chi_{1649}(1005, \cdot)$
1-1649-1649.1008-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1008	$0$	✓	✓	$-0.470$	$0$	$1.71591$	Character $\chi_{1649}(1008, \cdot)$
1-1649-1649.1009-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1009	$0$	✓	✓	$-0.146$	$0$	$0.719310$	Character $\chi_{1649}(1009, \cdot)$
1-1649-1649.101-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.101	$0$	✓	✓	$-0.468$	$0$	$2.20120$	Character $\chi_{1649}(101, \cdot)$
1-1649-1649.1010-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1010	$0$	✓	✓	$-0.308$	$0$	$0.347067$	Character $\chi_{1649}(1010, \cdot)$
1-1649-1649.1015-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1015	$0$	✓	✓	$0.299$	$0$	$0.799935$	Character $\chi_{1649}(1015, \cdot)$
1-1649-1649.1018-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1018	$0$	✓	✓	$0.177$	$0$	$0.870393$	Character $\chi_{1649}(1018, \cdot)$
1-1649-1649.1019-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1019	$0$	✓	✓	$-0.0125$	$0$	$1.36616$	Character $\chi_{1649}(1019, \cdot)$
1-1649-1649.1024-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1024	$0$	✓	✓	$-0.376$	$0$	$0.594415$	Character $\chi_{1649}(1024, \cdot)$
1-1649-1649.1025-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1025	$0$	✓	✓	$0.383$	$0$	$0.934140$	Character $\chi_{1649}(1025, \cdot)$
1-1649-1649.1026-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1026	$0$	✓	✓	$0.323$	$0$	$1.28786$	Character $\chi_{1649}(1026, \cdot)$
1-1649-1649.1027-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1027	$0$	✓	✓	$0.216$	$0$	$1.55693$	Character $\chi_{1649}(1027, \cdot)$
1-1649-1649.1030-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1030	$0$	✓	✓	$-0.225$	$0$	$0.895187$	Character $\chi_{1649}(1030, \cdot)$
1-1649-1649.1035-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1035	$0$	✓	✓	$-0.486$	$0$	$1.18669$	Character $\chi_{1649}(1035, \cdot)$
1-1649-1649.1036-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1036	$0$	✓	✓	$-0.0337$	$0$	$0.484054$	Character $\chi_{1649}(1036, \cdot)$
1-1649-1649.1044-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1044	$0$	✓	✓	$0.446$	$0$	$0.824025$	Character $\chi_{1649}(1044, \cdot)$
1-1649-1649.1045-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1045	$0$	✓	✓	$0.353$	$0$	$1.27804$	Character $\chi_{1649}(1045, \cdot)$
1-1649-1649.1047-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1047	$0$	✓	✓	$0.319$	$0$	$1.52693$	Character $\chi_{1649}(1047, \cdot)$
1-1649-1649.1048-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1048	$0$	✓	✓	$-0.474$	$0$	$0.263902$	Character $\chi_{1649}(1048, \cdot)$
1-1649-1649.1056-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1056	$0$	✓	✓	$-0.163$	$0$	$0.860807$	Character $\chi_{1649}(1056, \cdot)$
1-1649-1649.1057-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1057	$0$	✓	✓	$-0.159$	$0$	$0.259721$	Character $\chi_{1649}(1057, \cdot)$
1-1649-1649.1058-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1058	$0$	✓	✓	$-0.145$	$0$	$0.967999$	Character $\chi_{1649}(1058, \cdot)$
1-1649-1649.106-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.106	$0$	✓	✓	$-0.412$	$0$	$2.10004$	Character $\chi_{1649}(106, \cdot)$
1-1649-1649.1060-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1060	$0$	✓	✓	$-0.357$	$0$	$1.50311$	Character $\chi_{1649}(1060, \cdot)$
1-1649-1649.1063-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1063	$0$	✓	✓	$0.273$	$0$	$0.690545$	Character $\chi_{1649}(1063, \cdot)$
1-1649-1649.1069-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1069	$0$	✓	✓	$-0.374$	$0$	$1.64473$	Character $\chi_{1649}(1069, \cdot)$
1-1649-1649.107-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.107	$0$	✓	✓	$0.283$	$0$	$0.431221$	Character $\chi_{1649}(107, \cdot)$
1-1649-1649.1070-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1070	$0$	✓	✓	$0.0997$	$0$	$1.24520$	Character $\chi_{1649}(1070, \cdot)$
1-1649-1649.1073-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1073	$0$	✓	✓	$-0.404$	$0$	$1.87764$	Character $\chi_{1649}(1073, \cdot)$
1-1649-1649.1074-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1074	$0$	✓	✓	$-0.113$	$0$	$1.01671$	Character $\chi_{1649}(1074, \cdot)$
1-1649-1649.1075-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1075	$0$	✓	✓	$0.482$	$0$	$0.0361391$	Character $\chi_{1649}(1075, \cdot)$
1-1649-1649.1077-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1077	$0$	✓	✓	$-0.0320$	$0$	$0.812838$	Character $\chi_{1649}(1077, \cdot)$
1-1649-1649.1079-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1079	$0$	✓	✓	$0.329$	$0$	$0.971615$	Character $\chi_{1649}(1079, \cdot)$
1-1649-1649.1081-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1081	$0$	✓	✓	$0.292$	$0$	$0.103224$	Character $\chi_{1649}(1081, \cdot)$
1-1649-1649.1082-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1082	$0$	✓	✓	$0.0701$	$0$	$0.567796$	Character $\chi_{1649}(1082, \cdot)$
1-1649-1649.1092-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1092	$0$	✓	✓	$0.139$	$0$	$0.694899$	Character $\chi_{1649}(1092, \cdot)$
1-1649-1649.1093-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1093	$0$	✓	✓	$-0.441$	$0$	$1.04694$	Character $\chi_{1649}(1093, \cdot)$
1-1649-1649.1095-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1095	$0$	✓	✓	$-0.0855$	$0$	$0.657381$	Character $\chi_{1649}(1095, \cdot)$
1-1649-1649.1103-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1103	$0$	✓	✓	$-0.0820$	$0$	$1.32187$	Character $\chi_{1649}(1103, \cdot)$
1-1649-1649.1108-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1108	$0$	✓	✓	$0.168$	$0$	$1.87146$	Character $\chi_{1649}(1108, \cdot)$
1-1649-1649.1112-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1112	$0$	✓	✓	$0.162$	$0$	$1.12393$	Character $\chi_{1649}(1112, \cdot)$
1-1649-1649.1114-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1114	$0$	✓	✓	$0.323$	$0$	$0.700094$	Character $\chi_{1649}(1114, \cdot)$
1-1649-1649.1119-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1119	$0$	✓	✓	$-0.473$	$0$	$0.196056$	Character $\chi_{1649}(1119, \cdot)$
1-1649-1649.112-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.112	$0$	✓	✓	$-0.427$	$0$	$0.799167$	Character $\chi_{1649}(112, \cdot)$
1-1649-1649.1120-r0-0-0	$7.65$	$7.65$	$1$	$17 \cdot 97$	1649.1120	$0$	✓	✓	$-0.361$	$0$	$0.642848$	Character $\chi_{1649}(1120, \cdot)$

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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.