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 144 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-275-275.104-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.104	$0$	✓	✓	$-0.0172$	$0$	$1.28002$	Character $\chi_{275}(104, \cdot)$
1-275-275.112-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.112	$0$	✓	✓	$-0.173$	$0$	$1.11276$	Character $\chi_{275}(112, \cdot)$
1-275-275.114-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.114	$0$	✓	✓	$-0.276$	$0$	$0.811266$	Character $\chi_{275}(114, \cdot)$
1-275-275.117-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.117	$0$	✓	✓	$0.348$	$0$	$1.66757$	Character $\chi_{275}(117, \cdot)$
1-275-275.119-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.119	$0$	✓	✓	$0.0172$	$0$	$1.12213$	Character $\chi_{275}(119, \cdot)$
1-275-275.123-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.123	$0$	✓	✓	$-0.133$	$0$	$0.936705$	Character $\chi_{275}(123, \cdot)$
1-275-275.127-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.127	$0$	✓	✓	$-0.326$	$0$	$0.739983$	Character $\chi_{275}(127, \cdot)$
1-275-275.128-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.128	$0$	✓	✓	$0.128$	$0$	$2.00340$	Character $\chi_{275}(128, \cdot)$
1-275-275.13-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.13	$0$	✓	✓	$0.326$	$0$	$1.93058$	Character $\chi_{275}(13, \cdot)$
1-275-275.136-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.136	$0$	✓	✓	$0.223$	$0$	$2.24937$	Character $\chi_{275}(136, \cdot)$
1-275-275.138-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.138	$0$	✓	✓	$-0.366$	$0$	$1.21512$	Character $\chi_{275}(138, \cdot)$
1-275-275.14-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.14	$0$	✓	✓	$0.316$	$0$	$1.81088$	Character $\chi_{275}(14, \cdot)$
1-275-275.141-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.141	$0$	✓	✓	$0.137$	$0$	$1.89188$	Character $\chi_{275}(141, \cdot)$
1-275-275.142-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.142	$0$	✓	✓	$0.110$	$0$	$1.05378$	Character $\chi_{275}(142, \cdot)$
1-275-275.146-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.146	$0$	✓	✓	$-0.0637$	$0$	$0.736655$	Character $\chi_{275}(146, \cdot)$
1-275-275.153-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.153	$0$	✓	✓	$-0.110$	$0$	$1.14053$	Character $\chi_{275}(153, \cdot)$
1-275-275.159-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.159	$0$	✓	✓	$0.322$	$0$	$2.58385$	Character $\chi_{275}(159, \cdot)$
1-275-275.16-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.16	$0$	✓	✓	$-0.177$	$0$	$0.956024$	Character $\chi_{275}(16, \cdot)$
1-275-275.162-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.162	$0$	✓	✓	$-0.258$	$0$	$0.781365$	Character $\chi_{275}(162, \cdot)$
1-275-275.167-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.167	$0$	✓	✓	$-0.0434$	$0$	$1.13963$	Character $\chi_{275}(167, \cdot)$
1-275-275.169-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.169	$0$	✓	✓	$0.0637$	$0$	$1.72175$	Character $\chi_{275}(169, \cdot)$
1-275-275.17-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.17	$0$	✓	✓	$0.263$	$0$	$1.55798$	Character $\chi_{275}(17, \cdot)$
1-275-275.172-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.172	$0$	✓	✓	$0.128$	$0$	$1.29395$	Character $\chi_{275}(172, \cdot)$
1-275-275.173-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.173	$0$	✓	✓	$-0.218$	$0$	$0.965943$	Character $\chi_{275}(173, \cdot)$
1-275-275.178-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.178	$0$	✓	✓	$-0.263$	$0$	$0.0984808$	Character $\chi_{275}(178, \cdot)$
1-275-275.179-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.179	$0$	✓	✓	$-0.0637$	$0$	$1.75521$	Character $\chi_{275}(179, \cdot)$
1-275-275.181-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.181	$0$	✓	✓	$-0.297$	$0$	$1.21014$	Character $\chi_{275}(181, \cdot)$
1-275-275.183-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.183	$0$	✓	✓	$0.348$	$0$	$0.379344$	Character $\chi_{275}(183, \cdot)$
1-275-275.191-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.191	$0$	✓	✓	$0.183$	$0$	$1.48714$	Character $\chi_{275}(191, \cdot)$
1-275-275.196-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.196	$0$	✓	✓	$0.297$	$0$	$1.93105$	Character $\chi_{275}(196, \cdot)$
1-275-275.197-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.197	$0$	✓	✓	$-0.110$	$0$	$0.850742$	Character $\chi_{275}(197, \cdot)$
1-275-275.2-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.2	$0$	✓	✓	$0.366$	$0$	$2.16663$	Character $\chi_{275}(2, \cdot)$
1-275-275.208-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.208	$0$	✓	✓	$0.110$	$0$	$1.86236$	Character $\chi_{275}(208, \cdot)$
1-275-275.214-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.214	$0$	✓	✓	$0.362$	$0$	$1.93521$	Character $\chi_{275}(214, \cdot)$
1-275-275.217-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.217	$0$	✓	✓	$-0.128$	$0$	$1.62396$	Character $\chi_{275}(217, \cdot)$
1-275-275.222-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.222	$0$	✓	✓	$-0.263$	$0$	$1.35877$	Character $\chi_{275}(222, \cdot)$
1-275-275.227-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.227	$0$	✓	✓	$-0.241$	$0$	$1.27256$	Character $\chi_{275}(227, \cdot)$
1-275-275.228-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.228	$0$	✓	✓	$-0.348$	$0$	$1.01543$	Character $\chi_{275}(228, \cdot)$
1-275-275.229-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.229	$0$	✓	✓	$0.297$	$0$	$0.0352352$	Character $\chi_{275}(229, \cdot)$
1-275-275.233-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.233	$0$	✓	✓	$-0.0434$	$0$	$0.851146$	Character $\chi_{275}(233, \cdot)$
1-275-275.234-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.234	$0$	✓	✓	$0.276$	$0$	$1.45681$	Character $\chi_{275}(234, \cdot)$
1-275-275.236-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.236	$0$	✓	✓	$-0.137$	$0$	$0.742506$	Character $\chi_{275}(236, \cdot)$
1-275-275.237-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.237	$0$	✓	✓	$0.133$	$0$	$0.718074$	Character $\chi_{275}(237, \cdot)$
1-275-275.238-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.238	$0$	✓	✓	$-0.281$	$0$	$0.471513$	Character $\chi_{275}(238, \cdot)$
1-275-275.246-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.246	$0$	✓	✓	$0.343$	$0$	$0.338884$	Character $\chi_{275}(246, \cdot)$
1-275-275.248-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.248	$0$	✓	✓	$0.173$	$0$	$1.67209$	Character $\chi_{275}(248, \cdot)$
1-275-275.252-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.252	$0$	✓	✓	$-0.480$	$0$	$1.73832$	Character $\chi_{275}(252, \cdot)$
1-275-275.256-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.256	$0$	✓	✓	$-0.343$	$0$	$2.69923$	Character $\chi_{275}(256, \cdot)$
1-275-275.263-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.263	$0$	✓	✓	$0.480$	$0$	$0.00589368$	Character $\chi_{275}(263, \cdot)$
1-275-275.269-r0-0-0	$1.27$	$1.27$	$1$	$5^{2} \cdot 11$	275.269	$0$	✓	✓	$-0.297$	$0$	$1.94486$	Character $\chi_{275}(269, \cdot)$

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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.