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 2304 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-65e2-4225.1003-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1003	$0$	✓	✓	$0.0214$	$0$	$0.678533$	Character $\chi_{4225}(1003, \cdot)$
1-65e2-4225.1004-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1004	$0$	✓	✓	$0.000236$	$0$	$0.748580$	Character $\chi_{4225}(1004, \cdot)$
1-65e2-4225.1008-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1008	$0$	✓	✓	$0.278$	$0$	$0.814914$	Character $\chi_{4225}(1008, \cdot)$
1-65e2-4225.1011-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1011	$0$	✓	✓	$-0.265$	$0$	$1.85974$	Character $\chi_{4225}(1011, \cdot)$
1-65e2-4225.1012-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1012	$0$	✓	✓	$-0.218$	$0$	$0.775259$	Character $\chi_{4225}(1012, \cdot)$
1-65e2-4225.102-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.102	$0$	✓	✓	$0.303$	$0$	$0.244500$	Character $\chi_{4225}(102, \cdot)$
1-65e2-4225.1022-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1022	$0$	✓	✓	$0.180$	$0$	$0.802264$	Character $\chi_{4225}(1022, \cdot)$
1-65e2-4225.1031-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1031	$0$	✓	✓	$0.000236$	$0$	$0.925919$	Character $\chi_{4225}(1031, \cdot)$
1-65e2-4225.1038-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1038	$0$	✓	✓	$-0.210$	$0$	$0.763582$	Character $\chi_{4225}(1038, \cdot)$
1-65e2-4225.1039-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1039	$0$	✓	✓	$0.0844$	$0$	$0.768140$	Character $\chi_{4225}(1039, \cdot)$
1-65e2-4225.1041-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1041	$0$	✓	✓	$-0.0844$	$0$	$0.616138$	Character $\chi_{4225}(1041, \cdot)$
1-65e2-4225.1042-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1042	$0$	✓	✓	$-0.458$	$0$	$1.16701$	Character $\chi_{4225}(1042, \cdot)$
1-65e2-4225.1044-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1044	$0$	✓	✓	$0.152$	$0$	$1.20457$	Character $\chi_{4225}(1044, \cdot)$
1-65e2-4225.1047-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1047	$0$	✓	✓	$0.475$	$0$	$0.810857$	Character $\chi_{4225}(1047, \cdot)$
1-65e2-4225.1048-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1048	$0$	✓	✓	$-0.304$	$0$	$0.481433$	Character $\chi_{4225}(1048, \cdot)$
1-65e2-4225.1054-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1054	$0$	✓	✓	$0.354$	$0$	$0.596691$	Character $\chi_{4225}(1054, \cdot)$
1-65e2-4225.1056-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1056	$0$	✓	✓	$0.343$	$0$	$1.34757$	Character $\chi_{4225}(1056, \cdot)$
1-65e2-4225.1058-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1058	$0$	✓	✓	$-0.354$	$0$	$0.545532$	Character $\chi_{4225}(1058, \cdot)$
1-65e2-4225.1069-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1069	$0$	✓	✓	$-0.137$	$0$	$0.148994$	Character $\chi_{4225}(1069, \cdot)$
1-65e2-4225.1072-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1072	$0$	✓	✓	$-0.0934$	$0$	$0.0968708$	Character $\chi_{4225}(1072, \cdot)$
1-65e2-4225.1073-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1073	$0$	✓	✓	$0.211$	$0$	$0.161641$	Character $\chi_{4225}(1073, \cdot)$
1-65e2-4225.1077-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1077	$0$	✓	✓	$-0.471$	$0$	$1.15096$	Character $\chi_{4225}(1077, \cdot)$
1-65e2-4225.1087-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1087	$0$	✓	✓	$-0.355$	$0$	$0.444620$	Character $\chi_{4225}(1087, \cdot)$
1-65e2-4225.1089-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1089	$0$	✓	✓	$-0.198$	$0$	$0.321275$	Character $\chi_{4225}(1089, \cdot)$
1-65e2-4225.1091-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1091	$0$	✓	✓	$0.196$	$0$	$1.00302$	Character $\chi_{4225}(1091, \cdot)$
1-65e2-4225.1096-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1096	$0$	✓	✓	$-0.291$	$0$	$1.48208$	Character $\chi_{4225}(1096, \cdot)$
1-65e2-4225.1097-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1097	$0$	✓	✓	$0.308$	$0$	$1.10328$	Character $\chi_{4225}(1097, \cdot)$
1-65e2-4225.1098-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1098	$0$	✓	✓	$0.218$	$0$	$1.17821$	Character $\chi_{4225}(1098, \cdot)$
1-65e2-4225.1104-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1104	$0$	✓	✓	$-0.476$	$0$	$0.445287$	Character $\chi_{4225}(1104, \cdot)$
1-65e2-4225.1106-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1106	$0$	✓	✓	$-0.0234$	$0$	$0.366914$	Character $\chi_{4225}(1106, \cdot)$
1-65e2-4225.1109-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1109	$0$	✓	✓	$-0.278$	$0$	$1.62213$	Character $\chi_{4225}(1109, \cdot)$
1-65e2-4225.1112-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1112	$0$	✓	✓	$-0.172$	$0$	$0.953650$	Character $\chi_{4225}(1112, \cdot)$
1-65e2-4225.1114-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1114	$0$	✓	✓	$0.0677$	$0$	$0.849035$	Character $\chi_{4225}(1114, \cdot)$
1-65e2-4225.1119-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1119	$0$	✓	✓	$0.378$	$0$	$1.41491$	Character $\chi_{4225}(1119, \cdot)$
1-65e2-4225.112-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.112	$0$	✓	✓	$0.161$	$0$	$0.129748$	Character $\chi_{4225}(112, \cdot)$
1-65e2-4225.1121-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1121	$0$	✓	✓	$-0.152$	$0$	$0.301406$	Character $\chi_{4225}(1121, \cdot)$
1-65e2-4225.1123-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1123	$0$	✓	✓	$-0.415$	$0$	$0.265610$	Character $\chi_{4225}(1123, \cdot)$
1-65e2-4225.1133-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1133	$0$	✓	✓	$0.462$	$0$	$1.50358$	Character $\chi_{4225}(1133, \cdot)$
1-65e2-4225.1134-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1134	$0$	✓	✓	$-0.0677$	$0$	$0.957562$	Character $\chi_{4225}(1134, \cdot)$
1-65e2-4225.1137-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1137	$0$	✓	✓	$0.448$	$0$	$1.21032$	Character $\chi_{4225}(1137, \cdot)$
1-65e2-4225.1138-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1138	$0$	✓	✓	$-0.210$	$0$	$0.316022$	Character $\chi_{4225}(1138, \cdot)$
1-65e2-4225.114-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.114	$0$	✓	✓	$-0.177$	$0$	$0.356189$	Character $\chi_{4225}(114, \cdot)$
1-65e2-4225.1141-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1141	$0$	✓	✓	$-0.436$	$0$	$0.226562$	Character $\chi_{4225}(1141, \cdot)$
1-65e2-4225.1142-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1142	$0$	✓	✓	$0.0243$	$0$	$1.06064$	Character $\chi_{4225}(1142, \cdot)$
1-65e2-4225.1152-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1152	$0$	✓	✓	$0.155$	$0$	$1.40330$	Character $\chi_{4225}(1152, \cdot)$
1-65e2-4225.1154-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1154	$0$	✓	✓	$-0.00812$	$0$	$0.594757$	Character $\chi_{4225}(1154, \cdot)$
1-65e2-4225.1156-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1156	$0$	✓	✓	$-0.304$	$0$	$0.101913$	Character $\chi_{4225}(1156, \cdot)$
1-65e2-4225.116-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.116	$0$	✓	✓	$-0.279$	$0$	$0.642055$	Character $\chi_{4225}(116, \cdot)$
1-65e2-4225.1162-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1162	$0$	✓	✓	$0.289$	$0$	$1.20025$	Character $\chi_{4225}(1162, \cdot)$
1-65e2-4225.1163-r0-0-0	$19.6$	$19.6$	$1$	$5^{2} \cdot 13^{2}$	4225.1163	$0$	✓	✓	$-0.436$	$0$	$0.179326$	Character $\chi_{4225}(1163, \cdot)$

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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.