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 432 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1323-1323.1003-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1003	$0$	✓	✓	$0.356$	$0$	$0.165983$	Character $\chi_{1323}(1003, \cdot)$
1-1323-1323.1004-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1004	$0$	✓	✓	$0.264$	$0$	$1.15130$	Character $\chi_{1323}(1004, \cdot)$
1-1323-1323.101-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.101	$0$	✓	✓	$-0.0840$	$0$	$0.975921$	Character $\chi_{1323}(101, \cdot)$
1-1323-1323.1012-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1012	$0$	✓	✓	$-0.337$	$0$	$0.735193$	Character $\chi_{1323}(1012, \cdot)$
1-1323-1323.1013-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1013	$0$	✓	✓	$-0.249$	$0$	$0.159186$	Character $\chi_{1323}(1013, \cdot)$
1-1323-1323.1024-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1024	$0$	✓	✓	$0.249$	$0$	$1.04869$	Character $\chi_{1323}(1024, \cdot)$
1-1323-1323.1033-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1033	$0$	✓	✓	$0.337$	$0$	$1.47614$	Character $\chi_{1323}(1033, \cdot)$
1-1323-1323.104-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.104	$0$	✓	✓	$0.0840$	$0$	$0.801921$	Character $\chi_{1323}(104, \cdot)$
1-1323-1323.1046-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1046	$0$	✓	✓	$-0.356$	$0$	$0.608003$	Character $\chi_{1323}(1046, \cdot)$
1-1323-1323.1049-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1049	$0$	✓	✓	$-0.171$	$0$	$0.952534$	Character $\chi_{1323}(1049, \cdot)$
1-1323-1323.1051-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1051	$0$	✓	✓	$0.00434$	$0$	$0.511326$	Character $\chi_{1323}(1051, \cdot)$
1-1323-1323.1055-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1055	$0$	✓	✓	$-0.162$	$0$	$0.905729$	Character $\chi_{1323}(1055, \cdot)$
1-1323-1323.106-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.106	$0$	✓	✓	$0.249$	$0$	$0.194198$	Character $\chi_{1323}(106, \cdot)$
1-1323-1323.1066-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1066	$0$	✓	✓	$0.328$	$0$	$0.879477$	Character $\chi_{1323}(1066, \cdot)$
1-1323-1323.1067-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1067	$0$	✓	✓	$-0.0791$	$0$	$0.902423$	Character $\chi_{1323}(1067, \cdot)$
1-1323-1323.1075-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1075	$0$	✓	✓	$0.267$	$0$	$1.12730$	Character $\chi_{1323}(1075, \cdot)$
1-1323-1323.1076-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1076	$0$	✓	✓	$-0.412$	$0$	$0.407410$	Character $\chi_{1323}(1076, \cdot)$
1-1323-1323.1087-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1087	$0$	✓	✓	$-0.245$	$0$	$0.209473$	Character $\chi_{1323}(1087, \cdot)$
1-1323-1323.1091-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1091	$0$	✓	✓	$0.0689$	$0$	$0.535045$	Character $\chi_{1323}(1091, \cdot)$
1-1323-1323.1093-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1093	$0$	✓	✓	$0.0976$	$0$	$1.51405$	Character $\chi_{1323}(1093, \cdot)$
1-1323-1323.110-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.110	$0$	✓	✓	$-0.356$	$0$	$0.776601$	Character $\chi_{1323}(110, \cdot)$
1-1323-1323.1112-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1112	$0$	✓	✓	$-0.0689$	$0$	$1.01379$	Character $\chi_{1323}(1112, \cdot)$
1-1323-1323.1114-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1114	$0$	✓	✓	$-0.431$	$0$	$0.0838323$	Character $\chi_{1323}(1114, \cdot)$
1-1323-1323.1118-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1118	$0$	✓	✓	$-0.245$	$0$	$0.612288$	Character $\chi_{1323}(1118, \cdot)$
1-1323-1323.1129-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1129	$0$	✓	✓	$-0.412$	$0$	$0.828899$	Character $\chi_{1323}(1129, \cdot)$
1-1323-1323.1130-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1130	$0$	✓	✓	$-0.232$	$0$	$0.338587$	Character $\chi_{1323}(1130, \cdot)$
1-1323-1323.1138-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1138	$0$	✓	✓	$0.245$	$0$	$1.59734$	Character $\chi_{1323}(1138, \cdot)$
1-1323-1323.1139-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1139	$0$	✓	✓	$0.162$	$0$	$1.30253$	Character $\chi_{1323}(1139, \cdot)$
1-1323-1323.1150-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1150	$0$	✓	✓	$0.00434$	$0$	$0.936738$	Character $\chi_{1323}(1150, \cdot)$
1-1323-1323.1154-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1154	$0$	✓	✓	$0.171$	$0$	$0.880178$	Character $\chi_{1323}(1154, \cdot)$
1-1323-1323.1156-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1156	$0$	✓	✓	$0.328$	$0$	$1.84299$	Character $\chi_{1323}(1156, \cdot)$
1-1323-1323.1159-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1159	$0$	✓	✓	$-0.0228$	$0$	$0.867083$	Character $\chi_{1323}(1159, \cdot)$
1-1323-1323.1172-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1172	$0$	✓	✓	$-0.162$	$0$	$1.19498$	Character $\chi_{1323}(1172, \cdot)$
1-1323-1323.1181-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1181	$0$	✓	✓	$-0.0840$	$0$	$0.645752$	Character $\chi_{1323}(1181, \cdot)$
1-1323-1323.1192-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1192	$0$	✓	✓	$0.0840$	$0$	$0.594463$	Character $\chi_{1323}(1192, \cdot)$
1-1323-1323.1193-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1193	$0$	✓	✓	$0.495$	$0$	$0.410690$	Character $\chi_{1323}(1193, \cdot)$
1-1323-1323.1201-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1201	$0$	✓	✓	$0.431$	$0$	$1.27669$	Character $\chi_{1323}(1201, \cdot)$
1-1323-1323.1202-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1202	$0$	✓	✓	$0.0228$	$0$	$0.559083$	Character $\chi_{1323}(1202, \cdot)$
1-1323-1323.121-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.121	$0$	✓	✓	$0.0228$	$0$	$1.12488$	Character $\chi_{1323}(121, \cdot)$
1-1323-1323.1213-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1213	$0$	✓	✓	$-0.356$	$0$	$0.197244$	Character $\chi_{1323}(1213, \cdot)$
1-1323-1323.1217-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1217	$0$	✓	✓	$0.249$	$0$	$1.00504$	Character $\chi_{1323}(1217, \cdot)$
1-1323-1323.1219-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1219	$0$	✓	✓	$0.0840$	$0$	$1.25119$	Character $\chi_{1323}(1219, \cdot)$
1-1323-1323.122-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.122	$0$	✓	✓	$-0.0689$	$0$	$0.914363$	Character $\chi_{1323}(122, \cdot)$
1-1323-1323.1222-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1222	$0$	✓	✓	$-0.0840$	$0$	$0.520127$	Character $\chi_{1323}(1222, \cdot)$
1-1323-1323.1235-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1235	$0$	✓	✓	$0.232$	$0$	$1.07436$	Character $\chi_{1323}(1235, \cdot)$
1-1323-1323.1238-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1238	$0$	✓	✓	$-0.0791$	$0$	$0.921400$	Character $\chi_{1323}(1238, \cdot)$
1-1323-1323.1240-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1240	$0$	✓	✓	$0.412$	$0$	$1.27274$	Character $\chi_{1323}(1240, \cdot)$
1-1323-1323.1264-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1264	$0$	✓	✓	$0.0840$	$0$	$1.07242$	Character $\chi_{1323}(1264, \cdot)$
1-1323-1323.1265-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1265	$0$	✓	✓	$-0.402$	$0$	$0.782377$	Character $\chi_{1323}(1265, \cdot)$
1-1323-1323.1276-r0-0-0	$6.14$	$6.14$	$1$	$3^{3} \cdot 7^{2}$	1323.1276	$0$	✓	✓	$0.235$	$0$	$1.42502$	Character $\chi_{1323}(1276, \cdot)$

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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.