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 1100 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1573-1573.100-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.100	$0$	✓	✓	$-0.123$	$0$	$1.14897$	Character $\chi_{1573}(100, \cdot)$
1-1573-1573.1003-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1003	$0$	✓	✓	$0.227$	$0$	$1.70287$	Character $\chi_{1573}(1003, \cdot)$
1-1573-1573.1004-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1004	$0$	✓	✓	$-0.418$	$0$	$0.925868$	Character $\chi_{1573}(1004, \cdot)$
1-1573-1573.1005-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1005	$0$	✓	✓	$-0.287$	$0$	$0.213039$	Character $\chi_{1573}(1005, \cdot)$
1-1573-1573.1007-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1007	$0$	✓	✓	$-0.167$	$0$	$0.649032$	Character $\chi_{1573}(1007, \cdot)$
1-1573-1573.1009-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1009	$0$	✓	✓	$0.297$	$0$	$0.876526$	Character $\chi_{1573}(1009, \cdot)$
1-1573-1573.1010-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1010	$0$	✓	✓	$-0.107$	$0$	$0.432572$	Character $\chi_{1573}(1010, \cdot)$
1-1573-1573.1013-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1013	$0$	✓	✓	$-0.231$	$0$	$0.836506$	Character $\chi_{1573}(1013, \cdot)$
1-1573-1573.1017-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1017	$0$	✓	✓	$0.107$	$0$	$0.568877$	Character $\chi_{1573}(1017, \cdot)$
1-1573-1573.1019-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1019	$0$	✓	✓	$-0.170$	$0$	$1.05236$	Character $\chi_{1573}(1019, \cdot)$
1-1573-1573.1020-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1020	$0$	✓	✓	$0.275$	$0$	$1.25826$	Character $\chi_{1573}(1020, \cdot)$
1-1573-1573.1022-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1022	$0$	✓	✓	$-0.302$	$0$	$0.539080$	Character $\chi_{1573}(1022, \cdot)$
1-1573-1573.1024-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1024	$0$	✓	✓	$-0.162$	$0$	$0.664101$	Character $\chi_{1573}(1024, \cdot)$
1-1573-1573.1025-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1025	$0$	✓	✓	$-0.309$	$0$	$2.36829$	Character $\chi_{1573}(1025, \cdot)$
1-1573-1573.1026-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1026	$0$	✓	✓	$-0.0479$	$0$	$0.654712$	Character $\chi_{1573}(1026, \cdot)$
1-1573-1573.1029-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1029	$0$	✓	✓	$0.135$	$0$	$1.11016$	Character $\chi_{1573}(1029, \cdot)$
1-1573-1573.103-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.103	$0$	✓	✓	$0.143$	$0$	$0.815393$	Character $\chi_{1573}(103, \cdot)$
1-1573-1573.1033-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1033	$0$	✓	✓	$-0.416$	$0$	$0.395949$	Character $\chi_{1573}(1033, \cdot)$
1-1573-1573.1037-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1037	$0$	✓	✓	$0.0292$	$0$	$0.803128$	Character $\chi_{1573}(1037, \cdot)$
1-1573-1573.1039-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1039	$0$	✓	✓	$0.317$	$0$	$0.797987$	Character $\chi_{1573}(1039, \cdot)$
1-1573-1573.1042-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1042	$0$	✓	✓	$-0.0645$	$0$	$0.846076$	Character $\chi_{1573}(1042, \cdot)$
1-1573-1573.1043-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1043	$0$	✓	✓	$-0.441$	$0$	$0.145080$	Character $\chi_{1573}(1043, \cdot)$
1-1573-1573.1047-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1047	$0$	✓	✓	$0.189$	$0$	$0.845913$	Character $\chi_{1573}(1047, \cdot)$
1-1573-1573.1050-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1050	$0$	✓	✓	$0.0870$	$0$	$0.908236$	Character $\chi_{1573}(1050, \cdot)$
1-1573-1573.1051-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1051	$0$	✓	✓	$-0.475$	$0$	$0.481786$	Character $\chi_{1573}(1051, \cdot)$
1-1573-1573.1055-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1055	$0$	✓	✓	$0.00341$	$0$	$0.468479$	Character $\chi_{1573}(1055, \cdot)$
1-1573-1573.1057-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1057	$0$	✓	✓	$0.498$	$0$	$0.685109$	Character $\chi_{1573}(1057, \cdot)$
1-1573-1573.1058-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1058	$0$	✓	✓	$0.0410$	$0$	$1.24205$	Character $\chi_{1573}(1058, \cdot)$
1-1573-1573.106-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.106	$0$	✓	✓	$-0.152$	$0$	$0.987969$	Character $\chi_{1573}(106, \cdot)$
1-1573-1573.1064-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1064	$0$	✓	✓	$-0.444$	$0$	$0.279270$	Character $\chi_{1573}(1064, \cdot)$
1-1573-1573.1065-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1065	$0$	✓	✓	$0.231$	$0$	$0.485871$	Character $\chi_{1573}(1065, \cdot)$
1-1573-1573.1070-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1070	$0$	✓	✓	$0.136$	$0$	$0.748209$	Character $\chi_{1573}(1070, \cdot)$
1-1573-1573.1073-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1073	$0$	✓	✓	$-0.231$	$0$	$0.904464$	Character $\chi_{1573}(1073, \cdot)$
1-1573-1573.1074-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1074	$0$	✓	✓	$0.221$	$0$	$0.642789$	Character $\chi_{1573}(1074, \cdot)$
1-1573-1573.1076-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1076	$0$	✓	✓	$-0.312$	$0$	$1.60455$	Character $\chi_{1573}(1076, \cdot)$
1-1573-1573.1077-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1077	$0$	✓	✓	$0.478$	$0$	$0.346764$	Character $\chi_{1573}(1077, \cdot)$
1-1573-1573.108-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.108	$0$	✓	✓	$-0.475$	$0$	$0.258517$	Character $\chi_{1573}(108, \cdot)$
1-1573-1573.1082-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1082	$0$	✓	✓	$0.428$	$0$	$0.560338$	Character $\chi_{1573}(1082, \cdot)$
1-1573-1573.1083-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1083	$0$	✓	✓	$-0.0374$	$0$	$0.793961$	Character $\chi_{1573}(1083, \cdot)$
1-1573-1573.1084-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1084	$0$	✓	✓	$-0.184$	$0$	$0.536199$	Character $\chi_{1573}(1084, \cdot)$
1-1573-1573.1085-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1085	$0$	✓	✓	$0.232$	$0$	$1.62523$	Character $\chi_{1573}(1085, \cdot)$
1-1573-1573.109-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.109	$0$	✓	✓	$0.352$	$0$	$1.73915$	Character $\chi_{1573}(109, \cdot)$
1-1573-1573.1097-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1097	$0$	✓	✓	$-0.221$	$0$	$0.602403$	Character $\chi_{1573}(1097, \cdot)$
1-1573-1573.1099-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1099	$0$	✓	✓	$-0.385$	$0$	$0.641512$	Character $\chi_{1573}(1099, \cdot)$
1-1573-1573.1101-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1101	$0$	✓	✓	$0.429$	$0$	$1.27960$	Character $\chi_{1573}(1101, \cdot)$
1-1573-1573.1104-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1104	$0$	✓	✓	$-0.231$	$0$	$0.790689$	Character $\chi_{1573}(1104, \cdot)$
1-1573-1573.1107-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1107	$0$	✓	✓	$-0.276$	$0$	$0.997373$	Character $\chi_{1573}(1107, \cdot)$
1-1573-1573.1109-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1109	$0$	✓	✓	$-0.125$	$0$	$0.890022$	Character $\chi_{1573}(1109, \cdot)$
1-1573-1573.1110-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1110	$0$	✓	✓	$-0.201$	$0$	$0.692045$	Character $\chi_{1573}(1110, \cdot)$
1-1573-1573.1113-r0-0-0	$7.30$	$7.30$	$1$	$11^{2} \cdot 13$	1573.1113	$0$	✓	✓	$0.184$	$0$	$1.08910$	Character $\chi_{1573}(1113, \cdot)$

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Classical	Maass
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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.