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 288 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-35e2-1225.1002-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1002	$1$	✓	✓	$0.495$	$0$	$0.587476$	Character $\chi_{1225}(1002, \cdot)$
1-35e2-1225.1003-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1003	$1$	✓	✓	$-0.267$	$0$	$0.476663$	Character $\chi_{1225}(1003, \cdot)$
1-35e2-1225.1004-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1004	$1$	✓	✓	$-0.169$	$0$	$0.657756$	Character $\chi_{1225}(1004, \cdot)$
1-35e2-1225.1006-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1006	$1$	✓	✓	$-0.347$	$0$	$0.258879$	Character $\chi_{1225}(1006, \cdot)$
1-35e2-1225.1012-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1012	$1$	✓	✓	$0.337$	$0$	$1.26220$	Character $\chi_{1225}(1012, \cdot)$
1-35e2-1225.1014-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1014	$1$	✓	✓	$0.0108$	$0$	$0.651299$	Character $\chi_{1225}(1014, \cdot)$
1-35e2-1225.1017-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1017	$1$	✓	✓	$-0.398$	$0$	$0.993603$	Character $\chi_{1225}(1017, \cdot)$
1-35e2-1225.102-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.102	$1$	✓	✓	$-0.171$	$0$	$0.136850$	Character $\chi_{1225}(102, \cdot)$
1-35e2-1225.1021-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1021	$1$	✓	✓	$-0.475$	$0$	$0.390636$	Character $\chi_{1225}(1021, \cdot)$
1-35e2-1225.1023-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1023	$1$	✓	✓	$0.485$	$0$	$1.10831$	Character $\chi_{1225}(1023, \cdot)$
1-35e2-1225.1033-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1033	$1$	✓	✓	$-0.181$	$0$	$0.223225$	Character $\chi_{1225}(1033, \cdot)$
1-35e2-1225.1034-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1034	$1$	✓	✓	$-0.401$	$0$	$0.377041$	Character $\chi_{1225}(1034, \cdot)$
1-35e2-1225.1037-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1037	$1$	✓	✓	$-0.485$	$0$	$0.255771$	Character $\chi_{1225}(1037, \cdot)$
1-35e2-1225.1038-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1038	$1$	✓	✓	$0.320$	$0$	$0.754033$	Character $\chi_{1225}(1038, \cdot)$
1-35e2-1225.1039-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1039	$1$	✓	✓	$0.401$	$0$	$0.795286$	Character $\chi_{1225}(1039, \cdot)$
1-35e2-1225.104-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.104	$1$	✓	✓	$-0.444$	$0$	$1.44440$	Character $\chi_{1225}(104, \cdot)$
1-35e2-1225.1041-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1041	$1$	✓	✓	$-0.0788$	$0$	$0.747248$	Character $\chi_{1225}(1041, \cdot)$
1-35e2-1225.1046-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1046	$1$	✓	✓	$0.347$	$0$	$1.28250$	Character $\chi_{1225}(1046, \cdot)$
1-35e2-1225.1052-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1052	$1$	✓	✓	$0.162$	$0$	$0.674706$	Character $\chi_{1225}(1052, \cdot)$
1-35e2-1225.1056-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1056	$1$	✓	✓	$-0.0144$	$0$	$0.632713$	Character $\chi_{1225}(1056, \cdot)$
1-35e2-1225.1058-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1058	$1$	✓	✓	$-0.0655$	$0$	$0.375217$	Character $\chi_{1225}(1058, \cdot)$
1-35e2-1225.1069-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1069	$1$	✓	✓	$-0.249$	$0$	$0.146172$	Character $\chi_{1225}(1069, \cdot)$
1-35e2-1225.1072-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1072	$1$	✓	✓	$-0.444$	$0$	$1.42849$	Character $\chi_{1225}(1072, \cdot)$
1-35e2-1225.1073-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1073	$1$	✓	✓	$0.288$	$0$	$0.979288$	Character $\chi_{1225}(1073, \cdot)$
1-35e2-1225.1081-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1081	$1$	✓	✓	$0.111$	$0$	$1.18169$	Character $\chi_{1225}(1081, \cdot)$
1-35e2-1225.1084-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1084	$1$	✓	✓	$0.295$	$0$	$0.945298$	Character $\chi_{1225}(1084, \cdot)$
1-35e2-1225.1087-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1087	$1$	✓	✓	$-0.179$	$0$	$0.450783$	Character $\chi_{1225}(1087, \cdot)$
1-35e2-1225.1091-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1091	$1$	✓	✓	$0.489$	$0$	$1.17315$	Character $\chi_{1225}(1091, \cdot)$
1-35e2-1225.1103-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1103	$1$	✓	✓	$0.330$	$0$	$0.951984$	Character $\chi_{1225}(1103, \cdot)$
1-35e2-1225.1104-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1104	$1$	✓	✓	$-0.267$	$0$	$0.281603$	Character $\chi_{1225}(1104, \cdot)$
1-35e2-1225.111-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.111	$1$	✓	✓	$-0.0708$	$0$	$0.129645$	Character $\chi_{1225}(111, \cdot)$
1-35e2-1225.1111-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1111	$1$	✓	✓	$-0.431$	$0$	$0.942656$	Character $\chi_{1225}(1111, \cdot)$
1-35e2-1225.1116-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1116	$1$	✓	✓	$0.489$	$0$	$0.361610$	Character $\chi_{1225}(1116, \cdot)$
1-35e2-1225.1117-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1117	$1$	✓	✓	$-0.358$	$0$	$0.418307$	Character $\chi_{1225}(1117, \cdot)$
1-35e2-1225.1119-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1119	$1$	✓	✓	$0.444$	$0$	$0.000945214$	Character $\chi_{1225}(1119, \cdot)$
1-35e2-1225.1122-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1122	$1$	✓	✓	$0.358$	$0$	$1.36212$	Character $\chi_{1225}(1122, \cdot)$
1-35e2-1225.113-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.113	$1$	✓	✓	$0.320$	$0$	$0.649560$	Character $\chi_{1225}(113, \cdot)$
1-35e2-1225.1138-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1138	$1$	✓	✓	$0.239$	$0$	$0.990724$	Character $\chi_{1225}(1138, \cdot)$
1-35e2-1225.1139-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1139	$1$	✓	✓	$-0.138$	$0$	$1.81788$	Character $\chi_{1225}(1139, \cdot)$
1-35e2-1225.1142-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1142	$1$	✓	✓	$-0.249$	$0$	$1.21821$	Character $\chi_{1225}(1142, \cdot)$
1-35e2-1225.1144-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1144	$1$	✓	✓	$0.267$	$0$	$0.956740$	Character $\chi_{1225}(1144, \cdot)$
1-35e2-1225.1152-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1152	$1$	✓	✓	$-0.239$	$0$	$0.816757$	Character $\chi_{1225}(1152, \cdot)$
1-35e2-1225.1154-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1154	$1$	✓	✓	$0.0655$	$0$	$1.17301$	Character $\chi_{1225}(1154, \cdot)$
1-35e2-1225.1161-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1161	$1$	✓	✓	$-0.489$	$0$	$0.0692765$	Character $\chi_{1225}(1161, \cdot)$
1-35e2-1225.1163-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1163	$1$	✓	✓	$0.239$	$0$	$0.836729$	Character $\chi_{1225}(1163, \cdot)$
1-35e2-1225.1173-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1173	$1$	✓	✓	$-0.378$	$0$	$0.957979$	Character $\chi_{1225}(1173, \cdot)$
1-35e2-1225.1178-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1178	$1$	✓	✓	$0.249$	$0$	$0.987939$	Character $\chi_{1225}(1178, \cdot)$
1-35e2-1225.1179-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1179	$1$	✓	✓	$0.191$	$0$	$0.299303$	Character $\chi_{1225}(1179, \cdot)$
1-35e2-1225.1181-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1181	$1$	✓	✓	$-0.221$	$0$	$0.0424918$	Character $\chi_{1225}(1181, \cdot)$
1-35e2-1225.1186-r1-0-0	$131.$	$131.$	$1$	$5^{2} \cdot 7^{2}$	1225.1186	$1$	✓	✓	$-0.0980$	$0$	$1.03254$	Character $\chi_{1225}(1186, \cdot)$

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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.