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 351 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-353-353.100-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.100	$0$	✓	✓	$-0.198$	$0$	$0.992162$	Character $\chi_{353}(100, \cdot)$
1-353-353.109-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.109	$0$	✓	✓	$-0.0737$	$0$	$1.75029$	Character $\chi_{353}(109, \cdot)$
1-353-353.11-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.11	$0$	✓	✓	$-0.0579$	$0$	$1.40207$	Character $\chi_{353}(11, \cdot)$
1-353-353.111-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.111	$0$	✓	✓	$-0.125$	$0$	$0.210971$	Character $\chi_{353}(111, \cdot)$
1-353-353.113-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.113	$0$	✓	✓	$0.474$	$0$	$2.52060$	Character $\chi_{353}(113, \cdot)$
1-353-353.116-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.116	$0$	✓	✓	$0.341$	$0$	$1.49353$	Character $\chi_{353}(116, \cdot)$
1-353-353.120-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.120	$0$	✓	✓	$-0.318$	$0$	$0.400871$	Character $\chi_{353}(120, \cdot)$
1-353-353.121-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.121	$0$	✓	✓	$-0.226$	$0$	$0.689460$	Character $\chi_{353}(121, \cdot)$
1-353-353.122-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.122	$0$	✓	✓	$-0.200$	$0$	$0.936761$	Character $\chi_{353}(122, \cdot)$
1-353-353.127-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.127	$0$	✓	✓	$-0.0377$	$0$	$0.881496$	Character $\chi_{353}(127, \cdot)$
1-353-353.128-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.128	$0$	✓	✓	$-0.329$	$0$	$0.779894$	Character $\chi_{353}(128, \cdot)$
1-353-353.130-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.130	$0$	✓	✓	$0.192$	$0$	$1.09110$	Character $\chi_{353}(130, \cdot)$
1-353-353.131-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.131	$0$	✓	✓	$0.233$	$0$	$1.70380$	Character $\chi_{353}(131, \cdot)$
1-353-353.135-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.135	$0$	✓	✓	$-0.136$	$0$	$1.08260$	Character $\chi_{353}(135, \cdot)$
1-353-353.136-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.136	$0$	✓	✓	$0.200$	$0$	$1.58976$	Character $\chi_{353}(136, \cdot)$
1-353-353.140-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.140	$0$	✓	✓	$-0.0453$	$0$	$1.91366$	Character $\chi_{353}(140, \cdot)$
1-353-353.144-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.144	$0$	✓	✓	$-0.208$	$0$	$1.13128$	Character $\chi_{353}(144, \cdot)$
1-353-353.146-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.146	$0$	✓	✓	$-0.225$	$0$	$0.703844$	Character $\chi_{353}(146, \cdot)$
1-353-353.15-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.15	$0$	✓	✓	$-0.0253$	$0$	$1.18395$	Character $\chi_{353}(15, \cdot)$
1-353-353.152-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.152	$0$	✓	✓	$-0.285$	$0$	$0.906829$	Character $\chi_{353}(152, \cdot)$
1-353-353.153-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.153	$0$	✓	✓	$0.0106$	$0$	$1.02726$	Character $\chi_{353}(153, \cdot)$
1-353-353.155-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.155	$0$	✓	✓	$0.260$	$0$	$1.43152$	Character $\chi_{353}(155, \cdot)$
1-353-353.156-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.156	$0$	✓	✓	$-0.438$	$0$	$0.0366434$	Character $\chi_{353}(156, \cdot)$
1-353-353.157-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.157	$0$	✓	✓	$0.228$	$0$	$2.25872$	Character $\chi_{353}(157, \cdot)$
1-353-353.159-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.159	$0$	✓	✓	$0.0764$	$0$	$1.36283$	Character $\chi_{353}(159, \cdot)$
1-353-353.16-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.16	$0$	✓	✓	$-0.420$	$0$	$0.837244$	Character $\chi_{353}(16, \cdot)$
1-353-353.162-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.162	$0$	✓	✓	$0.225$	$0$	$0.736480$	Character $\chi_{353}(162, \cdot)$
1-353-353.164-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.164	$0$	✓	✓	$0.0377$	$0$	$1.59891$	Character $\chi_{353}(164, \cdot)$
1-353-353.165-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.165	$0$	✓	✓	$0.119$	$0$	$1.49065$	Character $\chi_{353}(165, \cdot)$
1-353-353.166-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.166	$0$	✓	✓	$-0.232$	$0$	$2.82809$	Character $\chi_{353}(166, \cdot)$
1-353-353.167-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.167	$0$	✓	✓	$0.435$	$0$	$1.91179$	Character $\chi_{353}(167, \cdot)$
1-353-353.168-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.168	$0$	✓	✓	$0.232$	$0$	$0.325197$	Character $\chi_{353}(168, \cdot)$
1-353-353.169-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.169	$0$	✓	✓	$-0.152$	$0$	$1.24488$	Character $\chi_{353}(169, \cdot)$
1-353-353.17-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.17	$0$	✓	✓	$0.318$	$0$	$1.50824$	Character $\chi_{353}(17, \cdot)$
1-353-353.171-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.171	$0$	✓	✓	$0.405$	$0$	$2.05923$	Character $\chi_{353}(171, \cdot)$
1-353-353.172-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.172	$0$	✓	✓	$0.195$	$0$	$1.68661$	Character $\chi_{353}(172, \cdot)$
1-353-353.176-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.176	$0$	✓	✓	$0.200$	$0$	$1.55591$	Character $\chi_{353}(176, \cdot)$
1-353-353.177-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.177	$0$	✓	✓	$-0.0982$	$0$	$1.20426$	Character $\chi_{353}(177, \cdot)$
1-353-353.18-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.18	$0$	✓	✓	$-0.288$	$0$	$0.332085$	Character $\chi_{353}(18, \cdot)$
1-353-353.181-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.181	$0$	✓	✓	$-0.167$	$0$	$0.691268$	Character $\chi_{353}(181, \cdot)$
1-353-353.182-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.182	$0$	✓	✓	$0.230$	$0$	$0.00317438$	Character $\chi_{353}(182, \cdot)$
1-353-353.184-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.184	$0$	✓	✓	$0.165$	$0$	$1.66776$	Character $\chi_{353}(184, \cdot)$
1-353-353.185-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.185	$0$	✓	✓	$0.0462$	$0$	$1.75144$	Character $\chi_{353}(185, \cdot)$
1-353-353.186-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.186	$0$	✓	✓	$0.246$	$0$	$1.16655$	Character $\chi_{353}(186, \cdot)$
1-353-353.187-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.187	$0$	✓	✓	$-0.0462$	$0$	$1.10837$	Character $\chi_{353}(187, \cdot)$
1-353-353.188-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.188	$0$	✓	✓	$0.145$	$0$	$0.795089$	Character $\chi_{353}(188, \cdot)$
1-353-353.189-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.189	$0$	✓	✓	$0.111$	$0$	$0.772514$	Character $\chi_{353}(189, \cdot)$
1-353-353.19-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.19	$0$	✓	✓	$0.143$	$0$	$1.18098$	Character $\chi_{353}(19, \cdot)$
1-353-353.191-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.191	$0$	✓	✓	$0.0286$	$0$	$1.10136$	Character $\chi_{353}(191, \cdot)$
1-353-353.194-r0-0-0	$1.63$	$1.63$	$1$	$353$	353.194	$0$	✓	✓	$0.125$	$0$	$1.34238$	Character $\chi_{353}(194, \cdot)$

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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 351 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.