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 113 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-229-229.100-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.100	$0$	✓	✓	$0.0119$	$0$	$1.85591$	Character $\chi_{229}(100, \cdot)$
1-229-229.103-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.103	$0$	✓	✓	$-0.353$	$0$	$0.436261$	Character $\chi_{229}(103, \cdot)$
1-229-229.104-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.104	$0$	✓	✓	$-0.455$	$0$	$2.39976$	Character $\chi_{229}(104, \cdot)$
1-229-229.108-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.108	$0$	✓	✓	$-0.325$	$0$	$0.0402251$	Character $\chi_{229}(108, \cdot)$
1-229-229.11-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.11	$0$	✓	✓	$-0.342$	$0$	$1.29427$	Character $\chi_{229}(11, \cdot)$
1-229-229.111-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.111	$0$	✓	✓	$-0.0832$	$0$	$0.819040$	Character $\chi_{229}(111, \cdot)$
1-229-229.118-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.118	$0$	✓	✓	$-0.0986$	$0$	$1.37794$	Character $\chi_{229}(118, \cdot)$
1-229-229.12-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.12	$0$	✓	✓	$0.199$	$0$	$2.46395$	Character $\chi_{229}(12, \cdot)$
1-229-229.121-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.121	$0$	✓	✓	$-0.0441$	$0$	$1.56687$	Character $\chi_{229}(121, \cdot)$
1-229-229.125-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.125	$0$	✓	✓	$0.342$	$0$	$2.45232$	Character $\chi_{229}(125, \cdot)$
1-229-229.126-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.126	$0$	✓	✓	$0.399$	$0$	$2.36536$	Character $\chi_{229}(126, \cdot)$
1-229-229.129-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.129	$0$	✓	✓	$0.393$	$0$	$2.07710$	Character $\chi_{229}(129, \cdot)$
1-229-229.130-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.130	$0$	✓	✓	$-0.105$	$0$	$0.875661$	Character $\chi_{229}(130, \cdot)$
1-229-229.132-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.132	$0$	✓	✓	$-0.159$	$0$	$1.73593$	Character $\chi_{229}(132, \cdot)$
1-229-229.134-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.134	$0$	✓	✓	$-0.0401$	$0$	$1.17789$	Character $\chi_{229}(134, \cdot)$
1-229-229.135-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.135	$0$	✓	✓	$-0.0803$	$0$	$0.954949$	Character $\chi_{229}(135, \cdot)$
1-229-229.138-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.138	$0$	✓	✓	$-0.401$	$0$	$2.85035$	Character $\chi_{229}(138, \cdot)$
1-229-229.14-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.14	$0$	✓	✓	$-0.387$	$0$	$1.19205$	Character $\chi_{229}(14, \cdot)$
1-229-229.144-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.144	$0$	✓	✓	$0.159$	$0$	$2.16156$	Character $\chi_{229}(144, \cdot)$
1-229-229.146-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.146	$0$	✓	✓	$-0.0799$	$0$	$0.851697$	Character $\chi_{229}(146, \cdot)$
1-229-229.147-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.147	$0$	✓	✓	$-0.190$	$0$	$1.49352$	Character $\chi_{229}(147, \cdot)$
1-229-229.148-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.148	$0$	✓	✓	$0.190$	$0$	$1.88897$	Character $\chi_{229}(148, \cdot)$
1-229-229.149-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.149	$0$	✓	✓	$0.300$	$0$	$1.85245$	Character $\chi_{229}(149, \cdot)$
1-229-229.15-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.15	$0$	✓	✓	$-0.365$	$0$	$2.93297$	Character $\chi_{229}(15, \cdot)$
1-229-229.151-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.151	$0$	✓	✓	$-0.244$	$0$	$0.799987$	Character $\chi_{229}(151, \cdot)$
1-229-229.153-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.153	$0$	✓	✓	$0.247$	$0$	$1.98787$	Character $\chi_{229}(153, \cdot)$
1-229-229.154-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.154	$0$	✓	✓	$-0.284$	$0$	$0.916061$	Character $\chi_{229}(154, \cdot)$
1-229-229.158-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.158	$0$	✓	✓	$-0.393$	$0$	$0.889978$	Character $\chi_{229}(158, \cdot)$
1-229-229.159-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.159	$0$	✓	✓	$-0.410$	$0$	$2.38783$	Character $\chi_{229}(159, \cdot)$
1-229-229.16-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.16	$0$	✓	✓	$-0.134$	$0$	$1.20705$	Character $\chi_{229}(16, \cdot)$
1-229-229.161-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.161	$0$	✓	✓	$-0.173$	$0$	$1.56498$	Character $\chi_{229}(161, \cdot)$
1-229-229.165-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.165	$0$	✓	✓	$0.173$	$0$	$2.15746$	Character $\chi_{229}(165, \cdot)$
1-229-229.167-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.167	$0$	✓	✓	$0.270$	$0$	$1.72882$	Character $\chi_{229}(167, \cdot)$
1-229-229.168-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.168	$0$	✓	✓	$0.365$	$0$	$0.344522$	Character $\chi_{229}(168, \cdot)$
1-229-229.169-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.169	$0$	✓	✓	$-0.341$	$0$	$0.416690$	Character $\chi_{229}(169, \cdot)$
1-229-229.17-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.17	$0$	✓	✓	$-0.399$	$0$	$0.669914$	Character $\chi_{229}(17, \cdot)$
1-229-229.171-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.171	$0$	✓	✓	$-0.256$	$0$	$0.614033$	Character $\chi_{229}(171, \cdot)$
1-229-229.172-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.172	$0$	✓	✓	$0.188$	$0$	$1.81080$	Character $\chi_{229}(172, \cdot)$
1-229-229.173-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.173	$0$	✓	✓	$0.339$	$0$	$2.58376$	Character $\chi_{229}(173, \cdot)$
1-229-229.174-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.174	$0$	✓	✓	$-0.111$	$0$	$0.634906$	Character $\chi_{229}(174, \cdot)$
1-229-229.176-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.176	$0$	✓	✓	$0.325$	$0$	$1.47447$	Character $\chi_{229}(176, \cdot)$
1-229-229.178-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.178	$0$	✓	✓	$-0.427$	$0$	$2.36139$	Character $\chi_{229}(178, \cdot)$
1-229-229.180-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.180	$0$	✓	✓	$0.387$	$0$	$1.98559$	Character $\chi_{229}(180, \cdot)$
1-229-229.181-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.181	$0$	✓	✓	$0.0940$	$0$	$0.578572$	Character $\chi_{229}(181, \cdot)$
1-229-229.183-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.183	$0$	✓	✓	$0.173$	$0$	$1.33298$	Character $\chi_{229}(183, \cdot)$
1-229-229.184-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.184	$0$	✓	✓	$-0.339$	$0$	$1.48518$	Character $\chi_{229}(184, \cdot)$
1-229-229.185-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.185	$0$	✓	✓	$0.319$	$0$	$1.64541$	Character $\chi_{229}(185, \cdot)$
1-229-229.186-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.186	$0$	✓	✓	$-0.0602$	$0$	$1.33058$	Character $\chi_{229}(186, \cdot)$
1-229-229.187-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.187	$0$	✓	✓	$0.341$	$0$	$1.34564$	Character $\chi_{229}(187, \cdot)$
1-229-229.19-r0-0-0	$1.06$	$1.06$	$1$	$229$	229.19	$0$	✓	✓	$0.0928$	$0$	$1.48295$	Character $\chi_{229}(19, \cdot)$

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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 113 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.