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 57 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
1-236-236.103-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.103	$0$	✓	✓			$-0.286$	$0$	$1.11462$	Character $\chi_{236}(103, \cdot)$
1-236-236.11-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.11	$0$	✓	✓			$0.187$	$0$	$1.87063$	Character $\chi_{236}(11, \cdot)$
1-236-236.111-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.111	$0$	✓	✓			$-0.0313$	$0$	$1.62479$	Character $\chi_{236}(111, \cdot)$
1-236-236.115-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.115	$0$	✓	✓			$0.142$	$0$	$1.61033$	Character $\chi_{236}(115, \cdot)$
1-236-236.131-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.131	$0$	✓	✓			$-0.0212$	$0$	$0.855375$	Character $\chi_{236}(131, \cdot)$
1-236-236.151-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.151	$0$	✓	✓			$-0.0596$	$0$	$1.12822$	Character $\chi_{236}(151, \cdot)$
1-236-236.155-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.155	$0$	✓	✓			$-0.301$	$0$	$0.811431$	Character $\chi_{236}(155, \cdot)$
1-236-236.179-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.179	$0$	✓	✓			$0.0255$	$0$	$1.12037$	Character $\chi_{236}(179, \cdot)$
1-236-236.183-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.183	$0$	✓	✓			$-0.442$	$0$	$2.29290$	Character $\chi_{236}(183, \cdot)$
1-236-236.187-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.187	$0$	✓	✓			$0.442$	$0$	$0.151386$	Character $\chi_{236}(187, \cdot)$
1-236-236.191-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.191	$0$	✓	✓			$-0.167$	$0$	$1.20076$	Character $\chi_{236}(191, \cdot)$
1-236-236.195-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.195	$0$	✓	✓			$-0.281$	$0$	$0.528622$	Character $\chi_{236}(195, \cdot)$
1-236-236.207-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.207	$0$	✓	✓			$-0.0255$	$0$	$1.46895$	Character $\chi_{236}(207, \cdot)$
1-236-236.211-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.211	$0$	✓	✓			$0.0596$	$0$	$1.73748$	Character $\chi_{236}(211, \cdot)$
1-236-236.215-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.215	$0$	✓	✓			$0.167$	$0$	$1.89042$	Character $\chi_{236}(215, \cdot)$
1-236-236.219-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.219	$0$	✓	✓			$0.0313$	$0$	$1.82789$	Character $\chi_{236}(219, \cdot)$
1-236-236.227-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.227	$0$	✓	✓			$0.0212$	$0$	$1.21718$	Character $\chi_{236}(227, \cdot)$
1-236-236.23-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.23	$0$	✓	✓			$0.281$	$0$	$1.46223$	Character $\chi_{236}(23, \cdot)$
1-236-236.231-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.231	$0$	✓	✓			$0.236$	$0$	$1.50618$	Character $\chi_{236}(231, \cdot)$
1-236-236.235-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.235	$0$	✓	✓	✓	✓	$0$	$0$	$1.10287$	Character $\chi_{236}(235, \cdot)$
1-236-236.31-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.31	$0$	✓	✓			$-0.271$	$0$	$0.898787$	Character $\chi_{236}(31, \cdot)$
1-236-236.39-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.39	$0$	✓	✓			$-0.142$	$0$	$0.801434$	Character $\chi_{236}(39, \cdot)$
1-236-236.43-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.43	$0$	✓	✓			$-0.187$	$0$	$0.927499$	Character $\chi_{236}(43, \cdot)$
1-236-236.47-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.47	$0$	✓	✓			$-0.236$	$0$	$0.257718$	Character $\chi_{236}(47, \cdot)$
1-236-236.55-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.55	$0$	✓	✓			$0.286$	$0$	$2.04023$	Character $\chi_{236}(55, \cdot)$
1-236-236.67-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.67	$0$	✓	✓			$0.301$	$0$	$2.19664$	Character $\chi_{236}(67, \cdot)$
1-236-236.83-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.83	$0$	✓	✓			$0.313$	$0$	$1.92806$	Character $\chi_{236}(83, \cdot)$
1-236-236.91-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.91	$0$	✓	✓			$-0.313$	$0$	$0.745546$	Character $\chi_{236}(91, \cdot)$
1-236-236.99-r0-0-0	$1.09$	$1.09$	$1$	$2^{2} \cdot 59$	236.99	$0$	✓	✓			$0.271$	$0$	$1.90523$	Character $\chi_{236}(99, \cdot)$
1-236-236.107-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.107	$1$	✓	✓			$0.102$	$0$	$1.16819$	Character $\chi_{236}(107, \cdot)$
1-236-236.123-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.123	$1$	✓	✓			$-0.0841$	$0$	$0.702183$	Character $\chi_{236}(123, \cdot)$
1-236-236.127-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.127	$1$	✓	✓			$0.0194$	$0$	$0.722028$	Character $\chi_{236}(127, \cdot)$
1-236-236.135-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.135	$1$	✓	✓			$-0.0434$	$0$	$1.19411$	Character $\chi_{236}(135, \cdot)$
1-236-236.139-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.139	$1$	✓	✓			$0.0261$	$0$	$1.04794$	Character $\chi_{236}(139, \cdot)$
1-236-236.143-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.143	$1$	✓	✓			$0.359$	$0$	$1.90007$	Character $\chi_{236}(143, \cdot)$
1-236-236.147-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.147	$1$	✓	✓			$-0.482$	$0$	$0.249567$	Character $\chi_{236}(147, \cdot)$
1-236-236.15-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.15	$1$	✓	✓			$0.457$	$0$	$0.433911$	Character $\chi_{236}(15, \cdot)$
1-236-236.159-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.159	$1$	✓	✓			$0.316$	$0$	$1.03947$	Character $\chi_{236}(159, \cdot)$
1-236-236.163-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.163	$1$	✓	✓			$-0.0261$	$0$	$1.27278$	Character $\chi_{236}(163, \cdot)$
1-236-236.167-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.167	$1$	✓	✓			$-0.367$	$0$	$0.571848$	Character $\chi_{236}(167, \cdot)$
1-236-236.171-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.171	$1$	✓	✓			$0.367$	$0$	$1.35383$	Character $\chi_{236}(171, \cdot)$
1-236-236.175-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.175	$1$	✓	✓			$0.482$	$0$	$1.63989$	Character $\chi_{236}(175, \cdot)$
1-236-236.19-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.19	$1$	✓	✓			$0.461$	$0$	$1.79683$	Character $\chi_{236}(19, \cdot)$
1-236-236.199-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.199	$1$	✓	✓			$0.489$	$0$	$0.332093$	Character $\chi_{236}(199, \cdot)$
1-236-236.203-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.203	$1$	✓	✓			$-0.359$	$0$	$0.253553$	Character $\chi_{236}(203, \cdot)$
1-236-236.223-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.223	$1$	✓	✓			$-0.0194$	$0$	$0.451918$	Character $\chi_{236}(223, \cdot)$
1-236-236.27-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.27	$1$	✓	✓			$0.167$	$0$	$1.34345$	Character $\chi_{236}(27, \cdot)$
1-236-236.3-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.3	$1$	✓	✓			$0.152$	$0$	$1.29706$	Character $\chi_{236}(3, \cdot)$
1-236-236.35-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.35	$1$	✓	✓			$-0.167$	$0$	$0.398163$	Character $\chi_{236}(35, \cdot)$
1-236-236.51-r1-0-0	$25.3$	$25.3$	$1$	$2^{2} \cdot 59$	236.51	$1$	✓	✓			$-0.489$	$0$	$2.17917$	Character $\chi_{236}(51, \cdot)$

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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.