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 83 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-167-167.10-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.10	$1$	✓	✓			$0.213$	$0$	$1.96091$	Character $\chi_{167}(10, \cdot)$
1-167-167.101-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.101	$1$	✓	✓			$0.167$	$0$	$1.67413$	Character $\chi_{167}(101, \cdot)$
1-167-167.102-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.102	$1$	✓	✓			$0.0512$	$0$	$1.73698$	Character $\chi_{167}(102, \cdot)$
1-167-167.103-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.103	$1$	✓	✓			$0.474$	$0$	$0.679369$	Character $\chi_{167}(103, \cdot)$
1-167-167.104-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.104	$1$	✓	✓			$-0.245$	$0$	$0.237781$	Character $\chi_{167}(104, \cdot)$
1-167-167.105-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.105	$1$	✓	✓			$-0.372$	$0$	$1.62538$	Character $\chi_{167}(105, \cdot)$
1-167-167.106-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.106	$1$	✓	✓			$-0.249$	$0$	$0.883767$	Character $\chi_{167}(106, \cdot)$
1-167-167.109-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.109	$1$	✓	✓			$-0.122$	$0$	$1.06559$	Character $\chi_{167}(109, \cdot)$
1-167-167.110-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.110	$1$	✓	✓			$0.120$	$0$	$1.35026$	Character $\chi_{167}(110, \cdot)$
1-167-167.111-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.111	$1$	✓	✓			$0.144$	$0$	$1.37663$	Character $\chi_{167}(111, \cdot)$
1-167-167.113-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.113	$1$	✓	✓			$-0.249$	$0$	$0.174234$	Character $\chi_{167}(113, \cdot)$
1-167-167.117-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.117	$1$	✓	✓			$-0.213$	$0$	$0.734187$	Character $\chi_{167}(117, \cdot)$
1-167-167.118-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.118	$1$	✓	✓			$0.452$	$0$	$0.784155$	Character $\chi_{167}(118, \cdot)$
1-167-167.119-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.119	$1$	✓	✓			$-0.104$	$0$	$0.701179$	Character $\chi_{167}(119, \cdot)$
1-167-167.120-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.120	$1$	✓	✓			$0.113$	$0$	$1.53326$	Character $\chi_{167}(120, \cdot)$
1-167-167.123-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.123	$1$	✓	✓			$0.238$	$0$	$2.12201$	Character $\chi_{167}(123, \cdot)$
1-167-167.125-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.125	$1$	✓	✓			$-0.348$	$0$	$0.831962$	Character $\chi_{167}(125, \cdot)$
1-167-167.129-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.129	$1$	✓	✓			$-0.127$	$0$	$0.650867$	Character $\chi_{167}(129, \cdot)$
1-167-167.13-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.13	$1$	✓	✓			$-0.0828$	$0$	$0.837576$	Character $\chi_{167}(13, \cdot)$
1-167-167.131-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.131	$1$	✓	✓			$0.0123$	$0$	$1.13146$	Character $\chi_{167}(131, \cdot)$
1-167-167.134-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.134	$1$	✓	✓			$-0.476$	$0$	$1.88480$	Character $\chi_{167}(134, \cdot)$
1-167-167.135-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.135	$1$	✓	✓			$-0.113$	$0$	$0.167350$	Character $\chi_{167}(135, \cdot)$
1-167-167.136-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.136	$1$	✓	✓			$-0.0738$	$0$	$1.76888$	Character $\chi_{167}(136, \cdot)$
1-167-167.138-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.138	$1$	✓	✓			$-0.422$	$0$	$2.51527$	Character $\chi_{167}(138, \cdot)$
1-167-167.139-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.139	$1$	✓	✓			$0.272$	$0$	$1.61181$	Character $\chi_{167}(139, \cdot)$
1-167-167.140-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.140	$1$	✓	✓			$0.416$	$0$	$0.112853$	Character $\chi_{167}(140, \cdot)$
1-167-167.142-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.142	$1$	✓	✓			$-0.208$	$0$	$0.171721$	Character $\chi_{167}(142, \cdot)$
1-167-167.143-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.143	$1$	✓	✓			$0.163$	$0$	$1.37341$	Character $\chi_{167}(143, \cdot)$
1-167-167.145-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.145	$1$	✓	✓			$0.127$	$0$	$0.789971$	Character $\chi_{167}(145, \cdot)$
1-167-167.146-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.146	$1$	✓	✓			$0.0708$	$0$	$1.41349$	Character $\chi_{167}(146, \cdot)$
1-167-167.148-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.148	$1$	✓	✓			$-0.238$	$0$	$1.26853$	Character $\chi_{167}(148, \cdot)$
1-167-167.149-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.149	$1$	✓	✓			$-0.0512$	$0$	$1.65629$	Character $\chi_{167}(149, \cdot)$
1-167-167.15-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.15	$1$	✓	✓			$0.354$	$0$	$0.418730$	Character $\chi_{167}(15, \cdot)$
1-167-167.151-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.151	$1$	✓	✓			$0.416$	$0$	$0.232136$	Character $\chi_{167}(151, \cdot)$
1-167-167.153-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.153	$1$	✓	✓			$-0.260$	$0$	$0.0324381$	Character $\chi_{167}(153, \cdot)$
1-167-167.155-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.155	$1$	✓	✓			$0.260$	$0$	$1.38254$	Character $\chi_{167}(155, \cdot)$
1-167-167.156-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.156	$1$	✓	✓			$0.363$	$0$	$0.620330$	Character $\chi_{167}(156, \cdot)$
1-167-167.158-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.158	$1$	✓	✓			$0.442$	$0$	$0.836085$	Character $\chi_{167}(158, \cdot)$
1-167-167.159-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.159	$1$	✓	✓			$-0.0708$	$0$	$1.61917$	Character $\chi_{167}(159, \cdot)$
1-167-167.160-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.160	$1$	✓	✓			$-0.163$	$0$	$0.811197$	Character $\chi_{167}(160, \cdot)$
1-167-167.161-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.161	$1$	✓	✓			$-0.272$	$0$	$0.135632$	Character $\chi_{167}(161, \cdot)$
1-167-167.163-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.163	$1$	✓	✓			$0.348$	$0$	$1.20327$	Character $\chi_{167}(163, \cdot)$
1-167-167.164-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.164	$1$	✓	✓			$-0.144$	$0$	$0.787005$	Character $\chi_{167}(164, \cdot)$
1-167-167.165-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.165	$1$	✓	✓			$-0.0922$	$0$	$0.832198$	Character $\chi_{167}(165, \cdot)$
1-167-167.166-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.166	$1$	✓	✓	✓	✓	$0$	$0$	$1.56701$	Character $\chi_{167}(166, \cdot)$
1-167-167.17-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.17	$1$	✓	✓			$-0.311$	$0$	$0.781484$	Character $\chi_{167}(17, \cdot)$
1-167-167.20-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.20	$1$	✓	✓			$0.208$	$0$	$1.13335$	Character $\chi_{167}(20, \cdot)$
1-167-167.23-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.23	$1$	✓	✓			$0.422$	$0$	$0.185443$	Character $\chi_{167}(23, \cdot)$
1-167-167.26-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.26	$1$	✓	✓			$-0.225$	$0$	$0.779508$	Character $\chi_{167}(26, \cdot)$
1-167-167.30-r1-0-0	$17.9$	$17.9$	$1$	$167$	167.30	$1$	✓	✓			$-0.272$	$0$	$0.625187$	Character $\chi_{167}(30, \cdot)$

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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 83 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.