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

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Results (1-50 of 365 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-367-367.100-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.100	$0$	✓	✓	$-0.136$	$0$	$1.17823$	Character $\chi_{367}(100, \cdot)$
1-367-367.101-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.101	$0$	✓	✓	$-0.0377$	$0$	$1.83649$	Character $\chi_{367}(101, \cdot)$
1-367-367.102-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.102	$0$	✓	✓	$-0.422$	$0$	$1.33658$	Character $\chi_{367}(102, \cdot)$
1-367-367.104-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.104	$0$	✓	✓	$-0.0323$	$0$	$0.226482$	Character $\chi_{367}(104, \cdot)$
1-367-367.105-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.105	$0$	✓	✓	$0.103$	$0$	$0.804111$	Character $\chi_{367}(105, \cdot)$
1-367-367.106-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.106	$0$	✓	✓	$0.435$	$0$	$1.83172$	Character $\chi_{367}(106, \cdot)$
1-367-367.107-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.107	$0$	✓	✓	$-0.210$	$0$	$0.631170$	Character $\chi_{367}(107, \cdot)$
1-367-367.110-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.110	$0$	✓	✓	$-0.128$	$0$	$1.33274$	Character $\chi_{367}(110, \cdot)$
1-367-367.112-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.112	$0$	✓	✓	$-0.464$	$0$	$0.430993$	Character $\chi_{367}(112, \cdot)$
1-367-367.113-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.113	$0$	✓	✓	$0.0228$	$0$	$0.982893$	Character $\chi_{367}(113, \cdot)$
1-367-367.114-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.114	$0$	✓	✓	$0.399$	$0$	$1.47197$	Character $\chi_{367}(114, \cdot)$
1-367-367.117-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.117	$0$	✓	✓	$-0.109$	$0$	$1.10704$	Character $\chi_{367}(117, \cdot)$
1-367-367.118-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.118	$0$	✓	✓	$0.303$	$0$	$1.72025$	Character $\chi_{367}(118, \cdot)$
1-367-367.120-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.120	$0$	✓	✓	$-0.218$	$0$	$0.888882$	Character $\chi_{367}(120, \cdot)$
1-367-367.121-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.121	$0$	✓	✓	$-0.118$	$0$	$1.18416$	Character $\chi_{367}(121, \cdot)$
1-367-367.122-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.122	$0$	✓	✓	$0.411$	$0$	$1.96614$	Character $\chi_{367}(122, \cdot)$
1-367-367.124-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.124	$0$	✓	✓	$-0.321$	$0$	$2.54651$	Character $\chi_{367}(124, \cdot)$
1-367-367.126-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.126	$0$	✓	✓	$0.326$	$0$	$1.85557$	Character $\chi_{367}(126, \cdot)$
1-367-367.128-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.128	$0$	✓	✓	$-0.212$	$0$	$1.38370$	Character $\chi_{367}(128, \cdot)$
1-367-367.129-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.129	$0$	✓	✓	$0.283$	$0$	$2.47001$	Character $\chi_{367}(129, \cdot)$
1-367-367.13-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.13	$0$	✓	✓	$-0.0228$	$0$	$0.814101$	Character $\chi_{367}(13, \cdot)$
1-367-367.132-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.132	$0$	✓	✓	$-0.399$	$0$	$0.723458$	Character $\chi_{367}(132, \cdot)$
1-367-367.134-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.134	$0$	✓	✓	$0.391$	$0$	$0.767170$	Character $\chi_{367}(134, \cdot)$
1-367-367.135-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.135	$0$	✓	✓	$-0.233$	$0$	$1.00008$	Character $\chi_{367}(135, \cdot)$
1-367-367.137-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.137	$0$	✓	✓	$0.338$	$0$	$2.03404$	Character $\chi_{367}(137, \cdot)$
1-367-367.14-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.14	$0$	✓	✓	$0.120$	$0$	$1.14947$	Character $\chi_{367}(14, \cdot)$
1-367-367.144-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.144	$0$	✓	✓	$0.182$	$0$	$1.39638$	Character $\chi_{367}(144, \cdot)$
1-367-367.145-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.145	$0$	✓	✓	$0.187$	$0$	$1.60272$	Character $\chi_{367}(145, \cdot)$
1-367-367.146-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.146	$0$	✓	✓	$-0.488$	$0$	$0.409795$	Character $\chi_{367}(146, \cdot)$
1-367-367.148-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.148	$0$	✓	✓	$-0.277$	$0$	$0.798253$	Character $\chi_{367}(148, \cdot)$
1-367-367.149-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.149	$0$	✓	✓	$-0.0739$	$0$	$1.26176$	Character $\chi_{367}(149, \cdot)$
1-367-367.15-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.15	$0$	✓	✓	$0.0358$	$0$	$1.72197$	Character $\chi_{367}(15, \cdot)$
1-367-367.151-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.151	$0$	✓	✓	$0.135$	$0$	$1.19626$	Character $\chi_{367}(151, \cdot)$
1-367-367.16-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.16	$0$	✓	✓	$0.183$	$0$	$1.84876$	Character $\chi_{367}(16, \cdot)$
1-367-367.161-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.161	$0$	✓	✓	$0.00831$	$0$	$1.52788$	Character $\chi_{367}(161, \cdot)$
1-367-367.162-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.162	$0$	✓	✓	$0.00156$	$0$	$0.468979$	Character $\chi_{367}(162, \cdot)$
1-367-367.164-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.164	$0$	✓	✓	$-0.481$	$0$	$0.0418185$	Character $\chi_{367}(164, \cdot)$
1-367-367.166-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.166	$0$	✓	✓	$-0.403$	$0$	$0.769852$	Character $\chi_{367}(166, \cdot)$
1-367-367.169-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.169	$0$	✓	✓	$-0.197$	$0$	$1.11094$	Character $\chi_{367}(169, \cdot)$
1-367-367.170-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.170	$0$	✓	✓	$0.424$	$0$	$0.497829$	Character $\chi_{367}(170, \cdot)$
1-367-367.173-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.173	$0$	✓	✓	$0.352$	$0$	$1.54901$	Character $\chi_{367}(173, \cdot)$
1-367-367.174-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.174	$0$	✓	✓	$0.124$	$0$	$1.37846$	Character $\chi_{367}(174, \cdot)$
1-367-367.175-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.175	$0$	✓	✓	$-0.135$	$0$	$1.19430$	Character $\chi_{367}(175, \cdot)$
1-367-367.178-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.178	$0$	✓	✓	$0.260$	$0$	$2.03038$	Character $\chi_{367}(178, \cdot)$
1-367-367.18-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.18	$0$	✓	✓	$0.422$	$0$	$0.133469$	Character $\chi_{367}(18, \cdot)$
1-367-367.181-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.181	$0$	✓	✓	$0.410$	$0$	$2.26306$	Character $\chi_{367}(181, \cdot)$
1-367-367.182-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.182	$0$	✓	✓	$-0.128$	$0$	$1.64513$	Character $\chi_{367}(182, \cdot)$
1-367-367.184-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.184	$0$	✓	✓	$0.217$	$0$	$2.17564$	Character $\chi_{367}(184, \cdot)$
1-367-367.187-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.187	$0$	✓	✓	$0.340$	$0$	$0.274237$	Character $\chi_{367}(187, \cdot)$
1-367-367.188-r0-0-0	$1.70$	$1.70$	$1$	$367$	367.188	$0$	✓	✓	$-0.179$	$0$	$1.04788$	Character $\chi_{367}(188, \cdot)$

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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.