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 279 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-281-281.10-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.10	$0$	✓	✓	$-0.401$	$0$	$2.54273$	Character $\chi_{281}(10, \cdot)$
1-281-281.100-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.100	$0$	✓	✓	$0.0395$	$0$	$1.17129$	Character $\chi_{281}(100, \cdot)$
1-281-281.101-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.101	$0$	✓	✓	$0.0552$	$0$	$0.939234$	Character $\chi_{281}(101, \cdot)$
1-281-281.106-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.106	$0$	✓	✓	$0.0670$	$0$	$1.47747$	Character $\chi_{281}(106, \cdot)$
1-281-281.109-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.109	$0$	✓	✓	$-0.157$	$0$	$0.577766$	Character $\chi_{281}(109, \cdot)$
1-281-281.111-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.111	$0$	✓	✓	$-0.466$	$0$	$2.42159$	Character $\chi_{281}(111, \cdot)$
1-281-281.112-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.112	$0$	✓	✓	$0.0200$	$0$	$1.11711$	Character $\chi_{281}(112, \cdot)$
1-281-281.114-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.114	$0$	✓	✓	$-0.0670$	$0$	$0.869241$	Character $\chi_{281}(114, \cdot)$
1-281-281.116-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.116	$0$	✓	✓	$0.103$	$0$	$1.59391$	Character $\chi_{281}(116, \cdot)$
1-281-281.118-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.118	$0$	✓	✓	$0.355$	$0$	$1.07480$	Character $\chi_{281}(118, \cdot)$
1-281-281.119-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.119	$0$	✓	✓	$0.418$	$0$	$2.19217$	Character $\chi_{281}(119, \cdot)$
1-281-281.121-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.121	$0$	✓	✓	$-0.177$	$0$	$1.42806$	Character $\chi_{281}(121, \cdot)$
1-281-281.123-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.123	$0$	✓	✓	$-0.0401$	$0$	$1.08432$	Character $\chi_{281}(123, \cdot)$
1-281-281.124-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.124	$0$	✓	✓	$-0.271$	$0$	$0.393499$	Character $\chi_{281}(124, \cdot)$
1-281-281.125-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.125	$0$	✓	✓	$-0.248$	$0$	$0.884409$	Character $\chi_{281}(125, \cdot)$
1-281-281.126-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.126	$0$	✓	✓	$-0.0533$	$0$	$0.963704$	Character $\chi_{281}(126, \cdot)$
1-281-281.128-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.128	$0$	✓	✓	$0.320$	$0$	$1.61032$	Character $\chi_{281}(128, \cdot)$
1-281-281.132-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.132	$0$	✓	✓	$-0.347$	$0$	$1.84109$	Character $\chi_{281}(132, \cdot)$
1-281-281.136-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.136	$0$	✓	✓	$0.475$	$0$	$1.07836$	Character $\chi_{281}(136, \cdot)$
1-281-281.137-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.137	$0$	✓	✓	$-0.134$	$0$	$0.857890$	Character $\chi_{281}(137, \cdot)$
1-281-281.138-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.138	$0$	✓	✓	$-0.0200$	$0$	$1.48528$	Character $\chi_{281}(138, \cdot)$
1-281-281.14-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.14	$0$	✓	✓	$0.0277$	$0$	$0.458453$	Character $\chi_{281}(14, \cdot)$
1-281-281.140-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.140	$0$	✓	✓	$0.00515$	$0$	$0.865634$	Character $\chi_{281}(140, \cdot)$
1-281-281.141-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.141	$0$	✓	✓	$-0.0617$	$0$	$0.235844$	Character $\chi_{281}(141, \cdot)$
1-281-281.143-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.143	$0$	✓	✓	$-0.209$	$0$	$1.59514$	Character $\chi_{281}(143, \cdot)$
1-281-281.144-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.144	$0$	✓	✓	$-0.123$	$0$	$1.51092$	Character $\chi_{281}(144, \cdot)$
1-281-281.145-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.145	$0$	✓	✓	$-0.488$	$0$	$0.391011$	Character $\chi_{281}(145, \cdot)$
1-281-281.149-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.149	$0$	✓	✓	$-0.219$	$0$	$0.641544$	Character $\chi_{281}(149, \cdot)$
1-281-281.153-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.153	$0$	✓	✓	$0.130$	$0$	$0.964010$	Character $\chi_{281}(153, \cdot)$
1-281-281.155-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.155	$0$	✓	✓	$-0.312$	$0$	$1.18610$	Character $\chi_{281}(155, \cdot)$
1-281-281.156-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.156	$0$	✓	✓	$0.442$	$0$	$0.260053$	Character $\chi_{281}(156, \cdot)$
1-281-281.157-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.157	$0$	✓	✓	$-0.442$	$0$	$2.25906$	Character $\chi_{281}(157, \cdot)$
1-281-281.158-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.158	$0$	✓	✓	$0.143$	$0$	$1.35101$	Character $\chi_{281}(158, \cdot)$
1-281-281.16-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.16	$0$	✓	✓	$0.0401$	$0$	$1.54701$	Character $\chi_{281}(16, \cdot)$
1-281-281.160-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.160	$0$	✓	✓	$-0.0836$	$0$	$0.969241$	Character $\chi_{281}(160, \cdot)$
1-281-281.162-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.162	$0$	✓	✓	$0.0293$	$0$	$1.40977$	Character $\chi_{281}(162, \cdot)$
1-281-281.163-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.163	$0$	✓	✓	$-0.353$	$0$	$0.102083$	Character $\chi_{281}(163, \cdot)$
1-281-281.165-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.165	$0$	✓	✓	$0.157$	$0$	$1.34821$	Character $\chi_{281}(165, \cdot)$
1-281-281.167-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.167	$0$	✓	✓	$0.112$	$0$	$1.54490$	Character $\chi_{281}(167, \cdot)$
1-281-281.169-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.169	$0$	✓	✓	$0.209$	$0$	$2.06943$	Character $\chi_{281}(169, \cdot)$
1-281-281.17-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.17	$0$	✓	✓	$-0.129$	$0$	$1.33355$	Character $\chi_{281}(17, \cdot)$
1-281-281.170-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.170	$0$	✓	✓	$0.279$	$0$	$2.51640$	Character $\chi_{281}(170, \cdot)$
1-281-281.172-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.172	$0$	✓	✓	$-0.103$	$0$	$1.23978$	Character $\chi_{281}(172, \cdot)$
1-281-281.175-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.175	$0$	✓	✓	$-0.112$	$0$	$1.49685$	Character $\chi_{281}(175, \cdot)$
1-281-281.18-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.18	$0$	✓	✓	$-0.0770$	$0$	$1.37563$	Character $\chi_{281}(18, \cdot)$
1-281-281.180-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.180	$0$	✓	✓	$0.458$	$0$	$2.15027$	Character $\chi_{281}(180, \cdot)$
1-281-281.181-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.181	$0$	✓	✓	$-0.453$	$0$	$2.00315$	Character $\chi_{281}(181, \cdot)$
1-281-281.183-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.183	$0$	✓	✓	$-0.318$	$0$	$0.673745$	Character $\chi_{281}(183, \cdot)$
1-281-281.191-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.191	$0$	✓	✓	$-0.320$	$0$	$0.774475$	Character $\chi_{281}(191, \cdot)$
1-281-281.195-r0-0-0	$1.30$	$1.30$	$1$	$281$	281.195	$0$	✓	✓	$0.0179$	$0$	$1.65194$	Character $\chi_{281}(195, \cdot)$

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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 279 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.