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 55 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
1-273-273.101-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.101	$0$	✓	✓			$-0.231$	$0$	$1.05698$	Character $\chi_{273}(101, \cdot)$
1-273-273.11-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.11	$0$	✓	✓			$0.246$	$0$	$1.58667$	Character $\chi_{273}(11, \cdot)$
1-273-273.128-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.128	$0$	✓	✓			$-0.233$	$0$	$0.862305$	Character $\chi_{273}(128, \cdot)$
1-273-273.137-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.137	$0$	✓	✓			$-0.172$	$0$	$1.17420$	Character $\chi_{273}(137, \cdot)$
1-273-273.146-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.146	$0$	✓	✓			$-0.290$	$0$	$1.12100$	Character $\chi_{273}(146, \cdot)$
1-273-273.149-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.149	$0$	✓	✓			$-0.246$	$0$	$0.842636$	Character $\chi_{273}(149, \cdot)$
1-273-273.152-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.152	$0$	✓	✓			$0.437$	$0$	$0.431237$	Character $\chi_{273}(152, \cdot)$
1-273-273.158-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.158	$0$	✓	✓			$-0.347$	$0$	$0.805077$	Character $\chi_{273}(158, \cdot)$
1-273-273.17-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.17	$0$	✓	✓			$-0.0611$	$0$	$1.53332$	Character $\chi_{273}(17, \cdot)$
1-273-273.173-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.173	$0$	✓	✓			$0.231$	$0$	$1.33672$	Character $\chi_{273}(173, \cdot)$
1-273-273.185-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.185	$0$	✓	✓			$-0.437$	$0$	$2.51296$	Character $\chi_{273}(185, \cdot)$
1-273-273.194-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.194	$0$	✓	✓			$0.146$	$0$	$1.72712$	Character $\chi_{273}(194, \cdot)$
1-273-273.2-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.2	$0$	✓	✓			$0.172$	$0$	$1.23908$	Character $\chi_{273}(2, \cdot)$
1-273-273.200-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.200	$0$	✓	✓			$0.286$	$0$	$1.50105$	Character $\chi_{273}(200, \cdot)$
1-273-273.230-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.230	$0$	✓	✓			$0.290$	$0$	$1.82481$	Character $\chi_{273}(230, \cdot)$
1-273-273.242-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.242	$0$	✓	✓			$0.193$	$0$	$1.96223$	Character $\chi_{273}(242, \cdot)$
1-273-273.251-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.251	$0$	✓	✓			$0.0853$	$0$	$1.26075$	Character $\chi_{273}(251, \cdot)$
1-273-273.254-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.254	$0$	✓	✓			$0.347$	$0$	$2.19151$	Character $\chi_{273}(254, \cdot)$
1-273-273.257-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.257	$0$	✓	✓			$0.0611$	$0$	$1.82687$	Character $\chi_{273}(257, \cdot)$
1-273-273.269-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.269	$0$	✓	✓			$0.144$	$0$	$1.22925$	Character $\chi_{273}(269, \cdot)$
1-273-273.272-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.272	$0$	✓	✓	✓	✓	$0$	$0$	$1.44894$	Character $\chi_{273}(272, \cdot)$
1-273-273.32-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.32	$0$	✓	✓			$0.233$	$0$	$1.16071$	Character $\chi_{273}(32, \cdot)$
1-273-273.38-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.38	$0$	✓	✓			$-0.146$	$0$	$0.626909$	Character $\chi_{273}(38, \cdot)$
1-273-273.44-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.44	$0$	✓	✓			$-0.193$	$0$	$1.44815$	Character $\chi_{273}(44, \cdot)$
1-273-273.62-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.62	$0$	✓	✓			$-0.0853$	$0$	$0.485681$	Character $\chi_{273}(62, \cdot)$
1-273-273.68-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.68	$0$	✓	✓			$-0.144$	$0$	$0.809450$	Character $\chi_{273}(68, \cdot)$
1-273-273.86-r0-0-0	$1.26$	$1.26$	$1$	$3 \cdot 7 \cdot 13$	273.86	$0$	✓	✓			$-0.286$	$0$	$0.199351$	Character $\chi_{273}(86, \cdot)$
1-273-273.107-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.107	$1$	✓	✓			$0.469$	$0$	$1.67776$	Character $\chi_{273}(107, \cdot)$
1-273-273.110-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.110	$1$	✓	✓			$-0.359$	$0$	$0.203925$	Character $\chi_{273}(110, \cdot)$
1-273-273.116-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.116	$1$	✓	✓			$0.239$	$0$	$0.797297$	Character $\chi_{273}(116, \cdot)$
1-273-273.122-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.122	$1$	✓	✓			$0.400$	$0$	$1.66489$	Character $\chi_{273}(122, \cdot)$
1-273-273.125-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.125	$1$	✓	✓			$0.453$	$0$	$0.0523030$	Character $\chi_{273}(125, \cdot)$
1-273-273.164-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.164	$1$	✓	✓			$0.306$	$0$	$1.43496$	Character $\chi_{273}(164, \cdot)$
1-273-273.167-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.167	$1$	✓	✓			$-0.493$	$0$	$2.15547$	Character $\chi_{273}(167, \cdot)$
1-273-273.179-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.179	$1$	✓	✓			$0.154$	$0$	$1.13986$	Character $\chi_{273}(179, \cdot)$
1-273-273.188-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.188	$1$	✓	✓			$0.493$	$0$	$0.438641$	Character $\chi_{273}(188, \cdot)$
1-273-273.191-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.191	$1$	✓	✓			$0.0507$	$0$	$1.31371$	Character $\chi_{273}(191, \cdot)$
1-273-273.20-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.20	$1$	✓	✓			$0.0874$	$0$	$0.774240$	Character $\chi_{273}(20, \cdot)$
1-273-273.206-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.206	$1$	✓	✓			$0.359$	$0$	$1.03854$	Character $\chi_{273}(206, \cdot)$
1-273-273.212-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.212	$1$	✓	✓			$-0.154$	$0$	$0.438691$	Character $\chi_{273}(212, \cdot)$
1-273-273.215-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.215	$1$	✓	✓			$0.233$	$0$	$1.57533$	Character $\chi_{273}(215, \cdot)$
1-273-273.227-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.227	$1$	✓	✓			$0.347$	$0$	$1.24438$	Character $\chi_{273}(227, \cdot)$
1-273-273.23-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.23	$1$	✓	✓			$-0.325$	$0$	$0.517953$	Character $\chi_{273}(23, \cdot)$
1-273-273.233-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.233	$1$	✓	✓			$-0.239$	$0$	$0.621773$	Character $\chi_{273}(233, \cdot)$
1-273-273.236-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.236	$1$	✓	✓			$0.0590$	$0$	$0.365099$	Character $\chi_{273}(236, \cdot)$
1-273-273.263-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.263	$1$	✓	✓			$-0.0507$	$0$	$0.561228$	Character $\chi_{273}(263, \cdot)$
1-273-273.41-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.41	$1$	✓	✓			$-0.0874$	$0$	$0.905026$	Character $\chi_{273}(41, \cdot)$
1-273-273.47-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.47	$1$	✓	✓			$-0.400$	$0$	$0.167599$	Character $\chi_{273}(47, \cdot)$
1-273-273.5-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.5	$1$	✓	✓			$-0.306$	$0$	$0.613415$	Character $\chi_{273}(5, \cdot)$
1-273-273.59-r1-0-0	$29.3$	$29.3$	$1$	$3 \cdot 7 \cdot 13$	273.59	$1$	✓	✓			$-0.0590$	$0$	$0.784285$	Character $\chi_{273}(59, \cdot)$

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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.