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

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Results (1-50 of 54 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-261-261.101-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.101	$0$	✓	✓	$-0.00975$	$0$	$1.38864$	Character $\chi_{261}(101, \cdot)$
1-261-261.103-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.103	$0$	✓	✓	$-0.0403$	$0$	$1.22186$	Character $\chi_{261}(103, \cdot)$
1-261-261.104-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.104	$0$	✓	✓	$0.164$	$0$	$1.36685$	Character $\chi_{261}(104, \cdot)$
1-261-261.11-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.11	$0$	✓	✓	$0.371$	$0$	$2.38886$	Character $\chi_{261}(11, \cdot)$
1-261-261.112-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.112	$0$	✓	✓	$-0.0549$	$0$	$1.59471$	Character $\chi_{261}(112, \cdot)$
1-261-261.113-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.113	$0$	✓	✓	$-0.0344$	$0$	$1.00817$	Character $\chi_{261}(113, \cdot)$
1-261-261.115-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.115	$0$	✓	✓	$-0.444$	$0$	$2.43548$	Character $\chi_{261}(115, \cdot)$
1-261-261.119-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.119	$0$	✓	✓	$-0.285$	$0$	$0.426994$	Character $\chi_{261}(119, \cdot)$
1-261-261.121-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.121	$0$	✓	✓	$0.109$	$0$	$1.51619$	Character $\chi_{261}(121, \cdot)$
1-261-261.128-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.128	$0$	✓	✓	$-0.164$	$0$	$0.447734$	Character $\chi_{261}(128, \cdot)$
1-261-261.13-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.13	$0$	✓	✓	$-0.0925$	$0$	$1.62333$	Character $\chi_{261}(13, \cdot)$
1-261-261.131-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.131	$0$	✓	✓	$-0.290$	$0$	$0.922129$	Character $\chi_{261}(131, \cdot)$
1-261-261.137-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.137	$0$	✓	✓	$-0.00760$	$0$	$1.69409$	Character $\chi_{261}(137, \cdot)$
1-261-261.139-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.139	$0$	✓	✓	$0.180$	$0$	$1.90687$	Character $\chi_{261}(139, \cdot)$
1-261-261.14-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.14	$0$	✓	✓	$0.379$	$0$	$1.50883$	Character $\chi_{261}(14, \cdot)$
1-261-261.151-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.151	$0$	✓	✓	$-0.109$	$0$	$1.68787$	Character $\chi_{261}(151, \cdot)$
1-261-261.155-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.155	$0$	✓	✓	$-0.103$	$0$	$1.40936$	Character $\chi_{261}(155, \cdot)$
1-261-261.16-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.16	$0$	✓	✓	$0.0707$	$0$	$1.51074$	Character $\chi_{261}(16, \cdot)$
1-261-261.164-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.164	$0$	✓	✓	$0.0344$	$0$	$1.22653$	Character $\chi_{261}(164, \cdot)$
1-261-261.169-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.169	$0$	✓	✓	$-0.180$	$0$	$1.21979$	Character $\chi_{261}(169, \cdot)$
1-261-261.176-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.176	$0$	✓	✓	$-0.320$	$0$	$1.13095$	Character $\chi_{261}(176, \cdot)$
1-261-261.178-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.178	$0$	✓	✓	$0.427$	$0$	$0.320334$	Character $\chi_{261}(178, \cdot)$
1-261-261.182-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.182	$0$	✓	✓	$0.239$	$0$	$1.38018$	Character $\chi_{261}(182, \cdot)$
1-261-261.185-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.185	$0$	✓	✓	$-0.239$	$0$	$1.20837$	Character $\chi_{261}(185, \cdot)$
1-261-261.187-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.187	$0$	✓	✓	$0.0185$	$0$	$0.617840$	Character $\chi_{261}(187, \cdot)$
1-261-261.191-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.191	$0$	✓	✓	$-0.224$	$0$	$1.03945$	Character $\chi_{261}(191, \cdot)$
1-261-261.196-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.196	$0$	✓	✓	$-0.316$	$0$	$0.843186$	Character $\chi_{261}(196, \cdot)$
1-261-261.2-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.2	$0$	✓	✓	$0.290$	$0$	$1.50228$	Character $\chi_{261}(2, \cdot)$
1-261-261.200-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.200	$0$	✓	✓	$-0.423$	$0$	$0.901271$	Character $\chi_{261}(200, \cdot)$
1-261-261.202-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.202	$0$	✓	✓	$0.444$	$0$	$0.412198$	Character $\chi_{261}(202, \cdot)$
1-261-261.218-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.218	$0$	✓	✓	$0.320$	$0$	$2.24436$	Character $\chi_{261}(218, \cdot)$
1-261-261.22-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.22	$0$	✓	✓	$-0.427$	$0$	$2.18366$	Character $\chi_{261}(22, \cdot)$
1-261-261.221-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.221	$0$	✓	✓	$0.00760$	$0$	$0.907550$	Character $\chi_{261}(221, \cdot)$
1-261-261.223-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.223	$0$	✓	✓	$0.0403$	$0$	$1.30878$	Character $\chi_{261}(223, \cdot)$
1-261-261.230-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.230	$0$	✓	✓	$0.00975$	$0$	$1.05416$	Character $\chi_{261}(230, \cdot)$
1-261-261.238-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.238	$0$	✓	✓	$-0.220$	$0$	$0.605844$	Character $\chi_{261}(238, \cdot)$
1-261-261.241-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.241	$0$	✓	✓	$0.0925$	$0$	$1.90693$	Character $\chi_{261}(241, \cdot)$
1-261-261.25-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.25	$0$	✓	✓	$0.0561$	$0$	$0.951587$	Character $\chi_{261}(25, \cdot)$
1-261-261.256-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.256	$0$	✓	✓	$-0.291$	$0$	$0.835511$	Character $\chi_{261}(256, \cdot)$
1-261-261.32-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.32	$0$	✓	✓	$0.103$	$0$	$1.98351$	Character $\chi_{261}(32, \cdot)$
1-261-261.34-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.34	$0$	✓	✓	$0.220$	$0$	$1.37624$	Character $\chi_{261}(34, \cdot)$
1-261-261.4-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.4	$0$	✓	✓	$0.316$	$0$	$1.66583$	Character $\chi_{261}(4, \cdot)$
1-261-261.41-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.41	$0$	✓	✓	$0.224$	$0$	$1.83513$	Character $\chi_{261}(41, \cdot)$
1-261-261.47-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.47	$0$	✓	✓	$-0.381$	$0$	$0.211215$	Character $\chi_{261}(47, \cdot)$
1-261-261.49-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.49	$0$	✓	✓	$-0.0707$	$0$	$0.533680$	Character $\chi_{261}(49, \cdot)$
1-261-261.50-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.50	$0$	✓	✓	$0.381$	$0$	$1.40549$	Character $\chi_{261}(50, \cdot)$
1-261-261.52-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.52	$0$	✓	✓	$0.291$	$0$	$1.65767$	Character $\chi_{261}(52, \cdot)$
1-261-261.56-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.56	$0$	✓	✓	$-0.379$	$0$	$0.650821$	Character $\chi_{261}(56, \cdot)$
1-261-261.67-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.67	$0$	✓	✓	$-0.0185$	$0$	$1.11518$	Character $\chi_{261}(67, \cdot)$
1-261-261.68-r0-0-0	$1.21$	$1.21$	$1$	$3^{2} \cdot 29$	261.68	$0$	✓	✓	$0.285$	$0$	$2.15988$	Character $\chi_{261}(68, \cdot)$

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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.