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 275 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-277-277.10-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.10	$0$	✓	✓	$0.424$	$0$	$0.724314$	Character $\chi_{277}(10, \cdot)$
1-277-277.100-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.100	$0$	✓	✓	$0.0249$	$0$	$1.31248$	Character $\chi_{277}(100, \cdot)$
1-277-277.102-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.102	$0$	✓	✓	$0.347$	$0$	$1.16168$	Character $\chi_{277}(102, \cdot)$
1-277-277.106-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.106	$0$	✓	✓	$-0.232$	$0$	$1.50050$	Character $\chi_{277}(106, \cdot)$
1-277-277.108-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.108	$0$	✓	✓	$0.115$	$0$	$1.69011$	Character $\chi_{277}(108, \cdot)$
1-277-277.112-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.112	$0$	✓	✓	$-0.454$	$0$	$0.417458$	Character $\chi_{277}(112, \cdot)$
1-277-277.113-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.113	$0$	✓	✓	$0.377$	$0$	$2.17279$	Character $\chi_{277}(113, \cdot)$
1-277-277.116-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.116	$0$	✓	✓	$0.130$	$0$	$1.87566$	Character $\chi_{277}(116, \cdot)$
1-277-277.117-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.117	$0$	✓	✓	$0.261$	$0$	$1.34066$	Character $\chi_{277}(117, \cdot)$
1-277-277.12-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.12	$0$	✓	✓	$-0.0508$	$0$	$0.974252$	Character $\chi_{277}(12, \cdot)$
1-277-277.120-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.120	$0$	✓	✓	$0.276$	$0$	$1.86045$	Character $\chi_{277}(120, \cdot)$
1-277-277.121-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.121	$0$	✓	✓	$0.263$	$0$	$1.63304$	Character $\chi_{277}(121, \cdot)$
1-277-277.122-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.122	$0$	✓	✓	$-0.246$	$0$	$0.834742$	Character $\chi_{277}(122, \cdot)$
1-277-277.123-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.123	$0$	✓	✓	$0.144$	$0$	$1.51341$	Character $\chi_{277}(123, \cdot)$
1-277-277.13-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.13	$0$	✓	✓	$-0.0770$	$0$	$0.453080$	Character $\chi_{277}(13, \cdot)$
1-277-277.130-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.130	$0$	✓	✓	$0.273$	$0$	$2.58920$	Character $\chi_{277}(130, \cdot)$
1-277-277.131-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.131	$0$	✓	✓	$0.292$	$0$	$0.198260$	Character $\chi_{277}(131, \cdot)$
1-277-277.133-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.133	$0$	✓	✓	$-0.263$	$0$	$1.41741$	Character $\chi_{277}(133, \cdot)$
1-277-277.136-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.136	$0$	✓	✓	$-0.377$	$0$	$0.682047$	Character $\chi_{277}(136, \cdot)$
1-277-277.141-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.141	$0$	✓	✓	$-0.0670$	$0$	$0.255871$	Character $\chi_{277}(141, \cdot)$
1-277-277.144-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.144	$0$	✓	✓	$0.178$	$0$	$1.06079$	Character $\chi_{277}(144, \cdot)$
1-277-277.146-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.146	$0$	✓	✓	$0.323$	$0$	$1.44587$	Character $\chi_{277}(146, \cdot)$
1-277-277.147-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.147	$0$	✓	✓	$-0.209$	$0$	$0.928201$	Character $\chi_{277}(147, \cdot)$
1-277-277.154-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.154	$0$	✓	✓	$0.459$	$0$	$0.633680$	Character $\chi_{277}(154, \cdot)$
1-277-277.155-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.155	$0$	✓	✓	$-0.176$	$0$	$0.977585$	Character $\chi_{277}(155, \cdot)$
1-277-277.156-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.156	$0$	✓	✓	$-0.194$	$0$	$1.00457$	Character $\chi_{277}(156, \cdot)$
1-277-277.157-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.157	$0$	✓	✓	$0.171$	$0$	$2.16824$	Character $\chi_{277}(157, \cdot)$
1-277-277.16-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.16	$0$	✓	✓	$0.226$	$0$	$1.33833$	Character $\chi_{277}(16, \cdot)$
1-277-277.160-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.160	$0$	✓	✓	$-0.130$	$0$	$0.876539$	Character $\chi_{277}(160, \cdot)$
1-277-277.161-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.161	$0$	✓	✓	$-0.261$	$0$	$0.802655$	Character $\chi_{277}(161, \cdot)$
1-277-277.164-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.164	$0$	✓	✓	$-0.477$	$0$	$0.245593$	Character $\chi_{277}(164, \cdot)$
1-277-277.165-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.165	$0$	✓	✓	$-0.344$	$0$	$0.383583$	Character $\chi_{277}(165, \cdot)$
1-277-277.169-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.169	$0$	✓	✓	$-0.243$	$0$	$0.234553$	Character $\chi_{277}(169, \cdot)$
1-277-277.171-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.171	$0$	✓	✓	$0.0818$	$0$	$1.46628$	Character $\chi_{277}(171, \cdot)$
1-277-277.175-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.175	$0$	✓	✓	$-0.0893$	$0$	$1.18359$	Character $\chi_{277}(175, \cdot)$
1-277-277.177-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.177	$0$	✓	✓	$0.155$	$0$	$1.09888$	Character $\chi_{277}(177, \cdot)$
1-277-277.185-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.185	$0$	✓	✓	$-0.194$	$0$	$1.52911$	Character $\chi_{277}(185, \cdot)$
1-277-277.186-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.186	$0$	✓	✓	$-0.271$	$0$	$2.57709$	Character $\chi_{277}(186, \cdot)$
1-277-277.187-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.187	$0$	✓	✓	$-0.316$	$0$	$0.718734$	Character $\chi_{277}(187, \cdot)$
1-277-277.188-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.188	$0$	✓	✓	$-0.485$	$0$	$1.02391$	Character $\chi_{277}(188, \cdot)$
1-277-277.189-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.189	$0$	✓	✓	$0.335$	$0$	$2.36319$	Character $\chi_{277}(189, \cdot)$
1-277-277.19-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.19	$0$	✓	✓	$0.0893$	$0$	$1.16344$	Character $\chi_{277}(19, \cdot)$
1-277-277.190-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.190	$0$	✓	✓	$0.194$	$0$	$1.54386$	Character $\chi_{277}(190, \cdot)$
1-277-277.191-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.191	$0$	✓	✓	$0.309$	$0$	$2.05360$	Character $\chi_{277}(191, \cdot)$
1-277-277.192-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.192	$0$	✓	✓	$-0.335$	$0$	$1.34259$	Character $\chi_{277}(192, \cdot)$
1-277-277.193-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.193	$0$	✓	✓	$0.246$	$0$	$2.19082$	Character $\chi_{277}(193, \cdot)$
1-277-277.194-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.194	$0$	✓	✓	$-0.424$	$0$	$2.70274$	Character $\chi_{277}(194, \cdot)$
1-277-277.196-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.196	$0$	✓	✓	$0.232$	$0$	$2.22107$	Character $\chi_{277}(196, \cdot)$
1-277-277.198-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.198	$0$	✓	✓	$0.240$	$0$	$1.68824$	Character $\chi_{277}(198, \cdot)$
1-277-277.201-r0-0-0	$1.28$	$1.28$	$1$	$277$	277.201	$0$	✓	✓	$0.477$	$0$	$1.81092$	Character $\chi_{277}(201, \cdot)$

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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.