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 162 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1083-1083.1001-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1001	$0$	✓	✓	$-0.312$	$0$	$0.203399$	Character $\chi_{1083}(1001, \cdot)$
1-1083-1083.1010-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1010	$0$	✓	✓	$0.412$	$0$	$1.15637$	Character $\chi_{1083}(1010, \cdot)$
1-1083-1083.1019-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1019	$0$	✓	✓	$0.200$	$0$	$1.31684$	Character $\chi_{1083}(1019, \cdot)$
1-1083-1083.1022-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1022	$0$	✓	✓	$0.144$	$0$	$0.902552$	Character $\chi_{1083}(1022, \cdot)$
1-1083-1083.1025-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1025	$0$	✓	✓	$-0.0824$	$0$	$0.991032$	Character $\chi_{1083}(1025, \cdot)$
1-1083-1083.1028-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1028	$0$	✓	✓	$0.0205$	$0$	$1.35788$	Character $\chi_{1083}(1028, \cdot)$
1-1083-1083.1034-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1034	$0$	✓	✓	$-0.325$	$0$	$0.851222$	Character $\chi_{1083}(1034, \cdot)$
1-1083-1083.1040-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1040	$0$	✓	✓	$-0.137$	$0$	$0.539819$	Character $\chi_{1083}(1040, \cdot)$
1-1083-1083.1058-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1058	$0$	✓	✓	$-0.0205$	$0$	$0.477990$	Character $\chi_{1083}(1058, \cdot)$
1-1083-1083.1067-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1067	$0$	✓	✓	$0.103$	$0$	$1.33379$	Character $\chi_{1083}(1067, \cdot)$
1-1083-1083.107-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.107	$0$	✓	✓	$0.0824$	$0$	$0.757532$	Character $\chi_{1083}(107, \cdot)$
1-1083-1083.1076-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1076	$0$	✓	✓	$-0.476$	$0$	$1.43127$	Character $\chi_{1083}(1076, \cdot)$
1-1083-1083.1079-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.1079	$0$	✓	✓	$-0.0793$	$0$	$1.31372$	Character $\chi_{1083}(1079, \cdot)$
1-1083-1083.110-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.110	$0$	✓	✓	$-0.147$	$0$	$0.703798$	Character $\chi_{1083}(110, \cdot)$
1-1083-1083.113-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.113	$0$	✓	✓	$-0.190$	$0$	$1.03455$	Character $\chi_{1083}(113, \cdot)$
1-1083-1083.122-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.122	$0$	✓	✓	$-0.142$	$0$	$0.902494$	Character $\chi_{1083}(122, \cdot)$
1-1083-1083.128-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.128	$0$	✓	✓	$0.147$	$0$	$1.00066$	Character $\chi_{1083}(128, \cdot)$
1-1083-1083.14-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.14	$0$	✓	✓	$-0.0824$	$0$	$1.24210$	Character $\chi_{1083}(14, \cdot)$
1-1083-1083.143-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.143	$0$	✓	✓	$-0.311$	$0$	$0.855769$	Character $\chi_{1083}(143, \cdot)$
1-1083-1083.146-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.146	$0$	✓	✓	$-0.0824$	$0$	$1.01853$	Character $\chi_{1083}(146, \cdot)$
1-1083-1083.155-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.155	$0$	✓	✓	$0.188$	$0$	$1.12507$	Character $\chi_{1083}(155, \cdot)$
1-1083-1083.164-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.164	$0$	✓	✓	$0.186$	$0$	$1.31961$	Character $\chi_{1083}(164, \cdot)$
1-1083-1083.167-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.167	$0$	✓	✓	$0.301$	$0$	$0.796541$	Character $\chi_{1083}(167, \cdot)$
1-1083-1083.170-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.170	$0$	✓	✓	$0.299$	$0$	$0.0552023$	Character $\chi_{1083}(170, \cdot)$
1-1083-1083.173-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.173	$0$	✓	✓	$0.498$	$0$	$1.76411$	Character $\chi_{1083}(173, \cdot)$
1-1083-1083.179-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.179	$0$	✓	✓	$0.0260$	$0$	$0.611635$	Character $\chi_{1083}(179, \cdot)$
1-1083-1083.185-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.185	$0$	✓	✓	$0.0205$	$0$	$0.303289$	Character $\chi_{1083}(185, \cdot)$
1-1083-1083.2-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.2	$0$	✓	✓	$0.0824$	$0$	$0.877244$	Character $\chi_{1083}(2, \cdot)$
1-1083-1083.200-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.200	$0$	✓	✓	$-0.312$	$0$	$0.718203$	Character $\chi_{1083}(200, \cdot)$
1-1083-1083.203-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.203	$0$	✓	✓	$-0.103$	$0$	$1.02999$	Character $\chi_{1083}(203, \cdot)$
1-1083-1083.212-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.212	$0$	✓	✓	$-0.164$	$0$	$0.803429$	Character $\chi_{1083}(212, \cdot)$
1-1083-1083.221-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.221	$0$	✓	✓	$0.325$	$0$	$1.49304$	Character $\chi_{1083}(221, \cdot)$
1-1083-1083.224-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.224	$0$	✓	✓	$-0.255$	$0$	$0.968439$	Character $\chi_{1083}(224, \cdot)$
1-1083-1083.227-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.227	$0$	✓	✓	$-0.341$	$0$	$0.617359$	Character $\chi_{1083}(227, \cdot)$
1-1083-1083.230-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.230	$0$	✓	✓	$-0.0824$	$0$	$0.636163$	Character $\chi_{1083}(230, \cdot)$
1-1083-1083.236-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.236	$0$	✓	✓	$0.186$	$0$	$1.44199$	Character $\chi_{1083}(236, \cdot)$
1-1083-1083.242-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.242	$0$	✓	✓	$0.119$	$0$	$0.980102$	Character $\chi_{1083}(242, \cdot)$
1-1083-1083.257-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.257	$0$	✓	✓	$-0.386$	$0$	$0.594535$	Character $\chi_{1083}(257, \cdot)$
1-1083-1083.260-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.260	$0$	✓	✓	$-0.147$	$0$	$0.190461$	Character $\chi_{1083}(260, \cdot)$
1-1083-1083.269-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.269	$0$	✓	✓	$-0.214$	$0$	$0.646349$	Character $\chi_{1083}(269, \cdot)$
1-1083-1083.278-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.278	$0$	✓	✓	$0.00807$	$0$	$0.798443$	Character $\chi_{1083}(278, \cdot)$
1-1083-1083.281-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.281	$0$	✓	✓	$-0.0205$	$0$	$0.730557$	Character $\chi_{1083}(281, \cdot)$
1-1083-1083.284-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.284	$0$	✓	✓	$0.359$	$0$	$0.111864$	Character $\chi_{1083}(284, \cdot)$
1-1083-1083.287-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.287	$0$	✓	✓	$0.312$	$0$	$1.30789$	Character $\chi_{1083}(287, \cdot)$
1-1083-1083.29-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.29	$0$	✓	✓	$-0.365$	$0$	$0.221103$	Character $\chi_{1083}(29, \cdot)$
1-1083-1083.314-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.314	$0$	✓	✓	$0.480$	$0$	$2.19424$	Character $\chi_{1083}(314, \cdot)$
1-1083-1083.317-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.317	$0$	✓	✓	$0.279$	$0$	$0.954174$	Character $\chi_{1083}(317, \cdot)$
1-1083-1083.32-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.32	$0$	✓	✓	$-0.196$	$0$	$0.695035$	Character $\chi_{1083}(32, \cdot)$
1-1083-1083.326-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.326	$0$	✓	✓	$0.0317$	$0$	$0.645201$	Character $\chi_{1083}(326, \cdot)$
1-1083-1083.335-r0-0-0	$5.02$	$5.02$	$1$	$3 \cdot 19^{2}$	1083.335	$0$	✓	✓	$-0.186$	$0$	$0.826991$	Character $\chi_{1083}(335, \cdot)$

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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 $\F_{q}$
Belyi maps

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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.