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 880 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1625-1625.1003-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1003	$0$	✓	✓	$-0.0994$	$0$	$0.724619$	Character $\chi_{1625}(1003, \cdot)$
1-1625-1625.1004-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1004	$0$	✓	✓	$0.0973$	$0$	$0.629000$	Character $\chi_{1625}(1004, \cdot)$
1-1625-1625.1008-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1008	$0$	✓	✓	$-0.400$	$0$	$0.811678$	Character $\chi_{1625}(1008, \cdot)$
1-1625-1625.1011-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1011	$0$	✓	✓	$-0.401$	$0$	$0.565581$	Character $\chi_{1625}(1011, \cdot)$
1-1625-1625.1012-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1012	$0$	✓	✓	$-0.327$	$0$	$0.715049$	Character $\chi_{1625}(1012, \cdot)$
1-1625-1625.102-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.102	$0$	✓	✓	$0.340$	$0$	$1.25715$	Character $\chi_{1625}(102, \cdot)$
1-1625-1625.1022-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1022	$0$	✓	✓	$0.341$	$0$	$1.45490$	Character $\chi_{1625}(1022, \cdot)$
1-1625-1625.1031-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1031	$0$	✓	✓	$0.197$	$0$	$1.19488$	Character $\chi_{1625}(1031, \cdot)$
1-1625-1625.1033-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1033	$0$	✓	✓	$0.205$	$0$	$0.747793$	Character $\chi_{1625}(1033, \cdot)$
1-1625-1625.1036-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1036	$0$	✓	✓	$0.374$	$0$	$0.533963$	Character $\chi_{1625}(1036, \cdot)$
1-1625-1625.1038-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1038	$0$	✓	✓	$-0.327$	$0$	$0.557672$	Character $\chi_{1625}(1038, \cdot)$
1-1625-1625.1039-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1039	$0$	✓	✓	$-0.316$	$0$	$0.281210$	Character $\chi_{1625}(1039, \cdot)$
1-1625-1625.1042-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1042	$0$	✓	✓	$-0.0754$	$0$	$1.37760$	Character $\chi_{1625}(1042, \cdot)$
1-1625-1625.1044-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1044	$0$	✓	✓	$0.0973$	$0$	$1.42520$	Character $\chi_{1625}(1044, \cdot)$
1-1625-1625.1047-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1047	$0$	✓	✓	$-0.424$	$0$	$0.389301$	Character $\chi_{1625}(1047, \cdot)$
1-1625-1625.1048-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1048	$0$	✓	✓	$0.0872$	$0$	$0.954863$	Character $\chi_{1625}(1048, \cdot)$
1-1625-1625.1056-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1056	$0$	✓	✓	$0.421$	$0$	$0.843809$	Character $\chi_{1625}(1056, \cdot)$
1-1625-1625.1058-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1058	$0$	✓	✓	$0.258$	$0$	$0.924096$	Character $\chi_{1625}(1058, \cdot)$
1-1625-1625.1069-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1069	$0$	✓	✓	$-0.0786$	$0$	$1.21642$	Character $\chi_{1625}(1069, \cdot)$
1-1625-1625.1072-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1072	$0$	✓	✓	$-0.218$	$0$	$0.918213$	Character $\chi_{1625}(1072, \cdot)$
1-1625-1625.1073-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1073	$0$	✓	✓	$-0.0785$	$0$	$1.02168$	Character $\chi_{1625}(1073, \cdot)$
1-1625-1625.1077-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1077	$0$	✓	✓	$0.140$	$0$	$0.565149$	Character $\chi_{1625}(1077, \cdot)$
1-1625-1625.1087-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1087	$0$	✓	✓	$-0.380$	$0$	$0.691152$	Character $\chi_{1625}(1087, \cdot)$
1-1625-1625.1089-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1089	$0$	✓	✓	$0.00137$	$0$	$1.02924$	Character $\chi_{1625}(1089, \cdot)$
1-1625-1625.1091-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1091	$0$	✓	✓	$0.316$	$0$	$0.354448$	Character $\chi_{1625}(1091, \cdot)$
1-1625-1625.1096-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1096	$0$	✓	✓	$0.373$	$0$	$1.09285$	Character $\chi_{1625}(1096, \cdot)$
1-1625-1625.1097-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1097	$0$	✓	✓	$-0.165$	$0$	$0.283990$	Character $\chi_{1625}(1097, \cdot)$
1-1625-1625.1098-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1098	$0$	✓	✓	$-0.0721$	$0$	$0.657669$	Character $\chi_{1625}(1098, \cdot)$
1-1625-1625.1103-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1103	$0$	✓	✓	$-0.105$	$0$	$0.678555$	Character $\chi_{1625}(1103, \cdot)$
1-1625-1625.1104-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1104	$0$	✓	✓	$-0.211$	$0$	$1.04187$	Character $\chi_{1625}(1104, \cdot)$
1-1625-1625.1109-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1109	$0$	✓	✓	$0.401$	$0$	$0.110217$	Character $\chi_{1625}(1109, \cdot)$
1-1625-1625.1112-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1112	$0$	✓	✓	$0.453$	$0$	$0.684872$	Character $\chi_{1625}(1112, \cdot)$
1-1625-1625.1113-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1113	$0$	✓	✓	$-0.380$	$0$	$0.509517$	Character $\chi_{1625}(1113, \cdot)$
1-1625-1625.1114-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1114	$0$	✓	✓	$-0.0253$	$0$	$0.831391$	Character $\chi_{1625}(1114, \cdot)$
1-1625-1625.112-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.112	$0$	✓	✓	$-0.180$	$0$	$2.25199$	Character $\chi_{1625}(112, \cdot)$
1-1625-1625.1121-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1121	$0$	✓	✓	$-0.402$	$0$	$0.882847$	Character $\chi_{1625}(1121, \cdot)$
1-1625-1625.1123-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1123	$0$	✓	✓	$-0.0192$	$0$	$0.532366$	Character $\chi_{1625}(1123, \cdot)$
1-1625-1625.1133-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1133	$0$	✓	✓	$0.424$	$0$	$1.17959$	Character $\chi_{1625}(1133, \cdot)$
1-1625-1625.1134-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1134	$0$	✓	✓	$-0.174$	$0$	$0.307940$	Character $\chi_{1625}(1134, \cdot)$
1-1625-1625.1137-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1137	$0$	✓	✓	$-0.340$	$0$	$1.41126$	Character $\chi_{1625}(1137, \cdot)$
1-1625-1625.1138-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1138	$0$	✓	✓	$0.453$	$0$	$0.990227$	Character $\chi_{1625}(1138, \cdot)$
1-1625-1625.114-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.114	$0$	✓	✓	$-0.401$	$0$	$2.10768$	Character $\chi_{1625}(114, \cdot)$
1-1625-1625.1141-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1141	$0$	✓	✓	$0.230$	$0$	$0.198962$	Character $\chi_{1625}(1141, \cdot)$
1-1625-1625.1142-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1142	$0$	✓	✓	$0.118$	$0$	$0.335953$	Character $\chi_{1625}(1142, \cdot)$
1-1625-1625.1152-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1152	$0$	✓	✓	$-0.112$	$0$	$0.590147$	Character $\chi_{1625}(1152, \cdot)$
1-1625-1625.1154-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1154	$0$	✓	✓	$-0.297$	$0$	$0.538086$	Character $\chi_{1625}(1154, \cdot)$
1-1625-1625.1156-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1156	$0$	✓	✓	$0.112$	$0$	$1.08607$	Character $\chi_{1625}(1156, \cdot)$
1-1625-1625.116-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.116	$0$	✓	✓	$0.116$	$0$	$0.735647$	Character $\chi_{1625}(116, \cdot)$
1-1625-1625.1161-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1161	$0$	✓	✓	$0.169$	$0$	$0.788503$	Character $\chi_{1625}(1161, \cdot)$
1-1625-1625.1162-r0-0-0	$7.54$	$7.54$	$1$	$5^{3} \cdot 13$	1625.1162	$0$	✓	✓	$0.112$	$0$	$1.48226$	Character $\chi_{1625}(1162, \cdot)$

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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
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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.