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 210 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1449-1449.1006-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1006	$0$	✓	✓	$-0.171$	$0$	$1.12046$	Character $\chi_{1449}(1006, \cdot)$
1-1449-1449.101-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.101	$0$	✓	✓	$0.147$	$0$	$0.971574$	Character $\chi_{1449}(101, \cdot)$
1-1449-1449.1010-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1010	$0$	✓	✓	$0.0249$	$0$	$1.17113$	Character $\chi_{1449}(1010, \cdot)$
1-1449-1449.1019-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1019	$0$	✓	✓	$-0.466$	$0$	$1.42791$	Character $\chi_{1449}(1019, \cdot)$
1-1449-1449.1024-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1024	$0$	✓	✓	$0.278$	$0$	$1.26169$	Character $\chi_{1449}(1024, \cdot)$
1-1449-1449.1028-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1028	$0$	✓	✓	$0.432$	$0$	$0.387483$	Character $\chi_{1449}(1028, \cdot)$
1-1449-1449.103-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.103	$0$	✓	✓	$0.131$	$0$	$1.24834$	Character $\chi_{1449}(103, \cdot)$
1-1449-1449.1031-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1031	$0$	✓	✓	$-0.172$	$0$	$0.775012$	Character $\chi_{1449}(1031, \cdot)$
1-1449-1449.104-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.104	$0$	✓	✓	$-0.00896$	$0$	$0.968642$	Character $\chi_{1449}(104, \cdot)$
1-1449-1449.1040-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1040	$0$	✓	✓	$-0.0552$	$0$	$0.366501$	Character $\chi_{1449}(1040, \cdot)$
1-1449-1449.1042-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1042	$0$	✓	✓	$0.0440$	$0$	$0.692707$	Character $\chi_{1449}(1042, \cdot)$
1-1449-1449.1066-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1066	$0$	✓	✓	$0.467$	$0$	$0.0342553$	Character $\chi_{1449}(1066, \cdot)$
1-1449-1449.1067-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1067	$0$	✓	✓	$-0.129$	$0$	$0.361004$	Character $\chi_{1449}(1067, \cdot)$
1-1449-1449.1069-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1069	$0$	✓	✓	$-0.0905$	$0$	$0.475093$	Character $\chi_{1449}(1069, \cdot)$
1-1449-1449.1073-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1073	$0$	✓	✓	$-0.444$	$0$	$1.44505$	Character $\chi_{1449}(1073, \cdot)$
1-1449-1449.1076-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1076	$0$	✓	✓	$-0.147$	$0$	$0.887835$	Character $\chi_{1449}(1076, \cdot)$
1-1449-1449.1087-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1087	$0$	✓	✓	$-0.210$	$0$	$0.938859$	Character $\chi_{1449}(1087, \cdot)$
1-1449-1449.11-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.11	$0$	✓	✓	$0.247$	$0$	$0.785397$	Character $\chi_{1449}(11, \cdot)$
1-1449-1449.110-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.110	$0$	✓	✓	$0.129$	$0$	$1.21430$	Character $\chi_{1449}(110, \cdot)$
1-1449-1449.1102-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1102	$0$	✓	✓	$0.0905$	$0$	$1.36731$	Character $\chi_{1449}(1102, \cdot)$
1-1449-1449.1103-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1103	$0$	✓	✓	$0.101$	$0$	$0.821863$	Character $\chi_{1449}(1103, \cdot)$
1-1449-1449.1111-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1111	$0$	✓	✓	$0.412$	$0$	$0.222098$	Character $\chi_{1449}(1111, \cdot)$
1-1449-1449.1112-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1112	$0$	✓	✓	$-0.0421$	$0$	$0.700876$	Character $\chi_{1449}(1112, \cdot)$
1-1449-1449.1123-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1123	$0$	✓	✓	$-0.0509$	$0$	$0.620842$	Character $\chi_{1449}(1123, \cdot)$
1-1449-1449.1129-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1129	$0$	✓	✓	$0.241$	$0$	$0.748984$	Character $\chi_{1449}(1129, \cdot)$
1-1449-1449.1130-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1130	$0$	✓	✓	$-0.382$	$0$	$0.477267$	Character $\chi_{1449}(1130, \cdot)$
1-1449-1449.1132-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1132	$0$	✓	✓	$-0.120$	$0$	$0.327992$	Character $\chi_{1449}(1132, \cdot)$
1-1449-1449.1139-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1139	$0$	✓	✓	$0.137$	$0$	$0.652162$	Character $\chi_{1449}(1139, \cdot)$
1-1449-1449.1147-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1147	$0$	✓	✓	$0.454$	$0$	$0.0632391$	Character $\chi_{1449}(1147, \cdot)$
1-1449-1449.1154-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1154	$0$	✓	✓	$0.498$	$0$	$0.0149792$	Character $\chi_{1449}(1154, \cdot)$
1-1449-1449.1157-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1157	$0$	✓	✓	$-0.223$	$0$	$0.345407$	Character $\chi_{1449}(1157, \cdot)$
1-1449-1449.1159-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1159	$0$	✓	✓	$-0.215$	$0$	$0.832843$	Character $\chi_{1449}(1159, \cdot)$
1-1449-1449.1165-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1165	$0$	✓	✓	$-0.378$	$0$	$1.49437$	Character $\chi_{1449}(1165, \cdot)$
1-1449-1449.1175-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1175	$0$	✓	✓	$-0.268$	$0$	$0.586987$	Character $\chi_{1449}(1175, \cdot)$
1-1449-1449.1181-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1181	$0$	✓	✓	$0.382$	$0$	$1.12421$	Character $\chi_{1449}(1181, \cdot)$
1-1449-1449.1195-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1195	$0$	✓	✓	$0.0353$	$0$	$0.682245$	Character $\chi_{1449}(1195, \cdot)$
1-1449-1449.1202-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1202	$0$	✓	✓	$-0.352$	$0$	$1.95331$	Character $\chi_{1449}(1202, \cdot)$
1-1449-1449.121-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.121	$0$	✓	✓	$0.0115$	$0$	$1.12661$	Character $\chi_{1449}(121, \cdot)$
1-1449-1449.1210-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1210	$0$	✓	✓	$0.267$	$0$	$0.957227$	Character $\chi_{1449}(1210, \cdot)$
1-1449-1449.1222-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1222	$0$	✓	✓	$-0.467$	$0$	$1.21219$	Character $\chi_{1449}(1222, \cdot)$
1-1449-1449.1229-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1229	$0$	✓	✓	$-0.0540$	$0$	$0.614455$	Character $\chi_{1449}(1229, \cdot)$
1-1449-1449.1235-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1235	$0$	✓	✓	$0.285$	$0$	$1.14102$	Character $\chi_{1449}(1235, \cdot)$
1-1449-1449.1244-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1244	$0$	✓	✓	$0.155$	$0$	$1.56041$	Character $\chi_{1449}(1244, \cdot)$
1-1449-1449.1249-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1249	$0$	✓	✓	$-0.102$	$0$	$1.12505$	Character $\chi_{1449}(1249, \cdot)$
1-1449-1449.1255-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1255	$0$	✓	✓	$0.0776$	$0$	$0.678722$	Character $\chi_{1449}(1255, \cdot)$
1-1449-1449.1262-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1262	$0$	✓	✓	$0.242$	$0$	$0.792352$	Character $\chi_{1449}(1262, \cdot)$
1-1449-1449.1301-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1301	$0$	✓	✓	$-0.432$	$0$	$1.79910$	Character $\chi_{1449}(1301, \cdot)$
1-1449-1449.131-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.131	$0$	✓	✓	$0.301$	$0$	$0.866810$	Character $\chi_{1449}(131, \cdot)$
1-1449-1449.1319-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1319	$0$	✓	✓	$-0.188$	$0$	$0.697864$	Character $\chi_{1449}(1319, \cdot)$
1-1449-1449.1321-r0-0-0	$6.72$	$6.72$	$1$	$3^{2} \cdot 7 \cdot 23$	1449.1321	$0$	✓	✓	$-0.119$	$0$	$0.735916$	Character $\chi_{1449}(1321, \cdot)$

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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.