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 90 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-945-945.103-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.103	$0$	✓	✓	$-0.487$	$0$	$1.48200$	Character $\chi_{945}(103, \cdot)$
1-945-945.104-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.104	$0$	✓	✓	$0.203$	$0$	$1.22288$	Character $\chi_{945}(104, \cdot)$
1-945-945.128-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.128	$0$	✓	✓	$-0.198$	$0$	$0.835048$	Character $\chi_{945}(128, \cdot)$
1-945-945.13-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.13	$0$	✓	✓	$0.365$	$0$	$1.19822$	Character $\chi_{945}(13, \cdot)$
1-945-945.137-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.137	$0$	✓	✓	$-0.209$	$0$	$0.582084$	Character $\chi_{945}(137, \cdot)$
1-945-945.157-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.157	$0$	✓	✓	$-0.271$	$0$	$0.238496$	Character $\chi_{945}(157, \cdot)$
1-945-945.158-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.158	$0$	✓	✓	$0.0221$	$0$	$1.06018$	Character $\chi_{945}(158, \cdot)$
1-945-945.164-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.164	$0$	✓	✓	$0.316$	$0$	$1.78640$	Character $\chi_{945}(164, \cdot)$
1-945-945.178-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.178	$0$	✓	✓	$0.311$	$0$	$0.982385$	Character $\chi_{945}(178, \cdot)$
1-945-945.184-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.184	$0$	✓	✓	$-0.286$	$0$	$0.697979$	Character $\chi_{945}(184, \cdot)$
1-945-945.187-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.187	$0$	✓	✓	$0.114$	$0$	$0.836374$	Character $\chi_{945}(187, \cdot)$
1-945-945.194-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.194	$0$	✓	✓	$0.350$	$0$	$1.33788$	Character $\chi_{945}(194, \cdot)$
1-945-945.2-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.2	$0$	✓	✓	$-0.0221$	$0$	$1.30882$	Character $\chi_{945}(2, \cdot)$
1-945-945.202-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.202	$0$	✓	✓	$-0.458$	$0$	$0.385034$	Character $\chi_{945}(202, \cdot)$
1-945-945.209-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.209	$0$	✓	✓	$-0.203$	$0$	$1.05548$	Character $\chi_{945}(209, \cdot)$
1-945-945.212-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.212	$0$	✓	✓	$0.385$	$0$	$1.34545$	Character $\chi_{945}(212, \cdot)$
1-945-945.214-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.214	$0$	✓	✓	$-0.0471$	$0$	$0.703977$	Character $\chi_{945}(214, \cdot)$
1-945-945.223-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.223	$0$	✓	✓	$0.458$	$0$	$0.176814$	Character $\chi_{945}(223, \cdot)$
1-945-945.23-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.23	$0$	✓	✓	$0.209$	$0$	$1.66400$	Character $\chi_{945}(23, \cdot)$
1-945-945.263-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.263	$0$	✓	✓	$-0.385$	$0$	$0.147903$	Character $\chi_{945}(263, \cdot)$
1-945-945.283-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.283	$0$	✓	✓	$-0.114$	$0$	$0.550047$	Character $\chi_{945}(283, \cdot)$
1-945-945.292-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.292	$0$	✓	✓	$-0.311$	$0$	$0.504464$	Character $\chi_{945}(292, \cdot)$
1-945-945.299-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.299	$0$	✓	✓	$0.276$	$0$	$1.01939$	Character $\chi_{945}(299, \cdot)$
1-945-945.313-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.313	$0$	✓	✓	$0.271$	$0$	$1.39785$	Character $\chi_{945}(313, \cdot)$
1-945-945.317-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.317	$0$	✓	✓	$-0.0221$	$0$	$0.517193$	Character $\chi_{945}(317, \cdot)$
1-945-945.319-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.319	$0$	✓	✓	$-0.473$	$0$	$0.314137$	Character $\chi_{945}(319, \cdot)$
1-945-945.32-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.32	$0$	✓	✓	$-0.134$	$0$	$1.14024$	Character $\chi_{945}(32, \cdot)$
1-945-945.328-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.328	$0$	✓	✓	$0.365$	$0$	$0.150157$	Character $\chi_{945}(328, \cdot)$
1-945-945.338-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.338	$0$	✓	✓	$0.209$	$0$	$0.911755$	Character $\chi_{945}(338, \cdot)$
1-945-945.347-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.347	$0$	✓	✓	$0.198$	$0$	$0.849704$	Character $\chi_{945}(347, \cdot)$
1-945-945.367-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.367	$0$	✓	✓	$0.487$	$0$	$0.395176$	Character $\chi_{945}(367, \cdot)$
1-945-945.374-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.374	$0$	✓	✓	$-0.276$	$0$	$0.356565$	Character $\chi_{945}(374, \cdot)$
1-945-945.394-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.394	$0$	✓	✓	$0.473$	$0$	$1.51984$	Character $\chi_{945}(394, \cdot)$
1-945-945.4-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.4	$0$	✓	✓	$-0.139$	$0$	$1.05200$	Character $\chi_{945}(4, \cdot)$
1-945-945.412-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.412	$0$	✓	✓	$-0.365$	$0$	$1.96877$	Character $\chi_{945}(412, \cdot)$
1-945-945.418-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.418	$0$	✓	✓	$-0.154$	$0$	$1.07048$	Character $\chi_{945}(418, \cdot)$
1-945-945.419-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.419	$0$	✓	✓	$0.203$	$0$	$1.02466$	Character $\chi_{945}(419, \cdot)$
1-945-945.443-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.443	$0$	✓	✓	$0.134$	$0$	$0.933480$	Character $\chi_{945}(443, \cdot)$
1-945-945.452-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.452	$0$	✓	✓	$-0.209$	$0$	$0.849280$	Character $\chi_{945}(452, \cdot)$
1-945-945.472-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.472	$0$	✓	✓	$0.0619$	$0$	$1.20205$	Character $\chi_{945}(472, \cdot)$
1-945-945.473-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.473	$0$	✓	✓	$0.0221$	$0$	$1.18314$	Character $\chi_{945}(473, \cdot)$
1-945-945.479-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.479	$0$	✓	✓	$0.316$	$0$	$1.04546$	Character $\chi_{945}(479, \cdot)$
1-945-945.493-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.493	$0$	✓	✓	$-0.0216$	$0$	$1.29549$	Character $\chi_{945}(493, \cdot)$
1-945-945.499-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.499	$0$	✓	✓	$0.0471$	$0$	$1.14207$	Character $\chi_{945}(499, \cdot)$
1-945-945.502-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.502	$0$	✓	✓	$0.447$	$0$	$1.64285$	Character $\chi_{945}(502, \cdot)$
1-945-945.509-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.509	$0$	✓	✓	$-0.316$	$0$	$0.633825$	Character $\chi_{945}(509, \cdot)$
1-945-945.517-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.517	$0$	✓	✓	$-0.458$	$0$	$1.46957$	Character $\chi_{945}(517, \cdot)$
1-945-945.52-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.52	$0$	✓	✓	$0.154$	$0$	$0.967679$	Character $\chi_{945}(52, \cdot)$
1-945-945.524-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.524	$0$	✓	✓	$0.129$	$0$	$0.711134$	Character $\chi_{945}(524, \cdot)$
1-945-945.527-r0-0-0	$4.38$	$4.38$	$1$	$3^{3} \cdot 5 \cdot 7$	945.527	$0$	✓	✓	$0.385$	$0$	$0.195401$	Character $\chi_{945}(527, \cdot)$

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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.