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 133 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-269-269.100-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.100	$0$	✓	✓	$-0.282$	$0$	$0.570872$	Character $\chi_{269}(100, \cdot)$
1-269-269.103-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.103	$0$	✓	✓	$0.333$	$0$	$1.37707$	Character $\chi_{269}(103, \cdot)$
1-269-269.105-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.105	$0$	✓	✓	$-0.289$	$0$	$0.454195$	Character $\chi_{269}(105, \cdot)$
1-269-269.11-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.11	$0$	✓	✓	$0.0777$	$0$	$1.38009$	Character $\chi_{269}(11, \cdot)$
1-269-269.115-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.115	$0$	✓	✓	$0.417$	$0$	$2.14657$	Character $\chi_{269}(115, \cdot)$
1-269-269.117-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.117	$0$	✓	✓	$0.228$	$0$	$0.794031$	Character $\chi_{269}(117, \cdot)$
1-269-269.118-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.118	$0$	✓	✓	$-0.103$	$0$	$1.41586$	Character $\chi_{269}(118, \cdot)$
1-269-269.119-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.119	$0$	✓	✓	$-0.273$	$0$	$0.200225$	Character $\chi_{269}(119, \cdot)$
1-269-269.120-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.120	$0$	✓	✓	$-0.357$	$0$	$2.93382$	Character $\chi_{269}(120, \cdot)$
1-269-269.121-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.121	$0$	✓	✓	$-0.160$	$0$	$1.22721$	Character $\chi_{269}(121, \cdot)$
1-269-269.125-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.125	$0$	✓	✓	$-0.475$	$0$	$2.00308$	Character $\chi_{269}(125, \cdot)$
1-269-269.126-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.126	$0$	✓	✓	$-0.426$	$0$	$1.25732$	Character $\chi_{269}(126, \cdot)$
1-269-269.127-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.127	$0$	✓	✓	$0.0296$	$0$	$1.83682$	Character $\chi_{269}(127, \cdot)$
1-269-269.13-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.13	$0$	✓	✓	$0.00487$	$0$	$1.38578$	Character $\chi_{269}(13, \cdot)$
1-269-269.131-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.131	$0$	✓	✓	$-0.417$	$0$	$0.697258$	Character $\chi_{269}(131, \cdot)$
1-269-269.133-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.133	$0$	✓	✓	$-0.236$	$0$	$1.02302$	Character $\chi_{269}(133, \cdot)$
1-269-269.136-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.136	$0$	✓	✓	$-0.212$	$0$	$0.878001$	Character $\chi_{269}(136, \cdot)$
1-269-269.138-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.138	$0$	✓	✓	$0.337$	$0$	$2.30900$	Character $\chi_{269}(138, \cdot)$
1-269-269.14-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.14	$0$	✓	✓	$0.376$	$0$	$2.60413$	Character $\chi_{269}(14, \cdot)$
1-269-269.142-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.142	$0$	✓	✓	$-0.342$	$0$	$2.45781$	Character $\chi_{269}(142, \cdot)$
1-269-269.143-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.143	$0$	✓	✓	$-0.326$	$0$	$1.95726$	Character $\chi_{269}(143, \cdot)$
1-269-269.144-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.144	$0$	✓	✓	$-0.410$	$0$	$0.338848$	Character $\chi_{269}(144, \cdot)$
1-269-269.148-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.148	$0$	✓	✓	$0.144$	$0$	$1.18341$	Character $\chi_{269}(148, \cdot)$
1-269-269.149-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.149	$0$	✓	✓	$-0.357$	$0$	$0.537524$	Character $\chi_{269}(149, \cdot)$
1-269-269.150-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.150	$0$	✓	✓	$-0.0283$	$0$	$1.99867$	Character $\chi_{269}(150, \cdot)$
1-269-269.151-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.151	$0$	✓	✓	$0.405$	$0$	$1.40850$	Character $\chi_{269}(151, \cdot)$
1-269-269.152-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.152	$0$	✓	✓	$-0.308$	$0$	$1.19232$	Character $\chi_{269}(152, \cdot)$
1-269-269.154-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.154	$0$	✓	✓	$-0.337$	$0$	$1.08751$	Character $\chi_{269}(154, \cdot)$
1-269-269.16-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.16	$0$	✓	✓	$0.109$	$0$	$2.06659$	Character $\chi_{269}(16, \cdot)$
1-269-269.164-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.164	$0$	✓	✓	$0.0336$	$0$	$1.60715$	Character $\chi_{269}(164, \cdot)$
1-269-269.166-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.166	$0$	✓	✓	$-0.198$	$0$	$1.51812$	Character $\chi_{269}(166, \cdot)$
1-269-269.169-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.169	$0$	✓	✓	$0.361$	$0$	$2.01522$	Character $\chi_{269}(169, \cdot)$
1-269-269.170-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.170	$0$	✓	✓	$0.410$	$0$	$1.84895$	Character $\chi_{269}(170, \cdot)$
1-269-269.172-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.172	$0$	✓	✓	$-0.0408$	$0$	$1.65230$	Character $\chi_{269}(172, \cdot)$
1-269-269.173-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.173	$0$	✓	✓	$-0.376$	$0$	$0.909888$	Character $\chi_{269}(173, \cdot)$
1-269-269.176-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.176	$0$	✓	✓	$-0.326$	$0$	$0.736269$	Character $\chi_{269}(176, \cdot)$
1-269-269.177-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.177	$0$	✓	✓	$0.220$	$0$	$2.01675$	Character $\chi_{269}(177, \cdot)$
1-269-269.180-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.180	$0$	✓	✓	$0.212$	$0$	$2.00294$	Character $\chi_{269}(180, \cdot)$
1-269-269.182-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.182	$0$	✓	✓	$-0.433$	$0$	$0.702676$	Character $\chi_{269}(182, \cdot)$
1-269-269.185-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.185	$0$	✓	✓	$-0.109$	$0$	$1.11817$	Character $\chi_{269}(185, \cdot)$
1-269-269.188-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.188	$0$	✓	✓	$0.326$	$0$	$2.12578$	Character $\chi_{269}(188, \cdot)$
1-269-269.189-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.189	$0$	✓	✓	$0.336$	$0$	$1.22479$	Character $\chi_{269}(189, \cdot)$
1-269-269.190-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.190	$0$	✓	✓	$0.326$	$0$	$0.0513044$	Character $\chi_{269}(190, \cdot)$
1-269-269.191-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.191	$0$	✓	✓	$0.282$	$0$	$1.65071$	Character $\chi_{269}(191, \cdot)$
1-269-269.196-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.196	$0$	✓	✓	$0.432$	$0$	$2.23119$	Character $\chi_{269}(196, \cdot)$
1-269-269.199-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.199	$0$	✓	✓	$0.0264$	$0$	$0.774994$	Character $\chi_{269}(199, \cdot)$
1-269-269.20-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.20	$0$	✓	✓	$-0.144$	$0$	$1.20272$	Character $\chi_{269}(20, \cdot)$
1-269-269.202-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.202	$0$	✓	✓	$0.157$	$0$	$1.94512$	Character $\chi_{269}(202, \cdot)$
1-269-269.203-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.203	$0$	✓	✓	$0.417$	$0$	$0.733253$	Character $\chi_{269}(203, \cdot)$
1-269-269.204-r0-0-0	$1.24$	$1.24$	$1$	$269$	269.204	$0$	✓	✓	$0.357$	$0$	$0.394053$	Character $\chi_{269}(204, \cdot)$

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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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Results (1-50 of 133 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.