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 72 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-21e2-441.103-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.103	$1$	✓	✓	$-0.0708$	$0$	$0.456380$	Character $\chi_{441}(103, \cdot)$
1-21e2-441.11-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.11	$1$	✓	✓	$0.0980$	$0$	$1.16513$	Character $\chi_{441}(11, \cdot)$
1-21e2-441.113-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.113	$1$	✓	✓	$-0.431$	$0$	$0.00162879$	Character $\chi_{441}(113, \cdot)$
1-21e2-441.115-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.115	$1$	✓	✓	$0.196$	$0$	$0.786047$	Character $\chi_{441}(115, \cdot)$
1-21e2-441.124-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.124	$1$	✓	✓	$0.247$	$0$	$0.984853$	Character $\chi_{441}(124, \cdot)$
1-21e2-441.13-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.13	$1$	✓	✓	$-0.0130$	$0$	$0.670234$	Character $\chi_{441}(13, \cdot)$
1-21e2-441.137-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.137	$1$	✓	✓	$0.0708$	$0$	$0.375710$	Character $\chi_{441}(137, \cdot)$
1-21e2-441.139-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.139	$1$	✓	✓	$0.262$	$0$	$1.24823$	Character $\chi_{441}(139, \cdot)$
1-21e2-441.149-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.149	$1$	✓	✓	$-0.179$	$0$	$0.888797$	Character $\chi_{441}(149, \cdot)$
1-21e2-441.155-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.155	$1$	✓	✓	$0.206$	$0$	$0.800688$	Character $\chi_{441}(155, \cdot)$
1-21e2-441.157-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.157	$1$	✓	✓	$-0.373$	$0$	$0.335065$	Character $\chi_{441}(157, \cdot)$
1-21e2-441.158-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.158	$1$	✓	✓	$0.153$	$0$	$1.23066$	Character $\chi_{441}(158, \cdot)$
1-21e2-441.160-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.160	$1$	✓	✓	$0.431$	$0$	$1.83048$	Character $\chi_{441}(160, \cdot)$
1-21e2-441.176-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.176	$1$	✓	✓	$-0.247$	$0$	$0.702306$	Character $\chi_{441}(176, \cdot)$
1-21e2-441.187-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.187	$1$	✓	✓	$0.346$	$0$	$1.70226$	Character $\chi_{441}(187, \cdot)$
1-21e2-441.191-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.191	$1$	✓	✓	$-0.126$	$0$	$0.204653$	Character $\chi_{441}(191, \cdot)$
1-21e2-441.2-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.2	$1$	✓	✓	$-0.235$	$0$	$0.355800$	Character $\chi_{441}(2, \cdot)$
1-21e2-441.200-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.200	$1$	✓	✓	$0.247$	$0$	$0.874684$	Character $\chi_{441}(200, \cdot)$
1-21e2-441.202-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.202	$1$	✓	✓	$0.293$	$0$	$1.48527$	Character $\chi_{441}(202, \cdot)$
1-21e2-441.212-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.212	$1$	✓	✓	$0.459$	$0$	$1.32377$	Character $\chi_{441}(212, \cdot)$
1-21e2-441.218-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.218	$1$	✓	✓	$0.247$	$0$	$1.39617$	Character $\chi_{441}(218, \cdot)$
1-21e2-441.220-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.220	$1$	✓	✓	$0.235$	$0$	$0.733688$	Character $\chi_{441}(220, \cdot)$
1-21e2-441.221-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.221	$1$	✓	✓	$0.235$	$0$	$1.45342$	Character $\chi_{441}(221, \cdot)$
1-21e2-441.223-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.223	$1$	✓	✓	$0.247$	$0$	$0.777360$	Character $\chi_{441}(223, \cdot)$
1-21e2-441.229-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.229	$1$	✓	✓	$-0.0402$	$0$	$1.01786$	Character $\chi_{441}(229, \cdot)$
1-21e2-441.23-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.23	$1$	✓	✓	$0.303$	$0$	$0.814277$	Character $\chi_{441}(23, \cdot)$
1-21e2-441.239-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.239	$1$	✓	✓	$-0.206$	$0$	$0.237324$	Character $\chi_{441}(239, \cdot)$
1-21e2-441.241-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.241	$1$	✓	✓	$0.247$	$0$	$0.0925491$	Character $\chi_{441}(241, \cdot)$
1-21e2-441.250-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.250	$1$	✓	✓	$0.373$	$0$	$1.37559$	Character $\chi_{441}(250, \cdot)$
1-21e2-441.254-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.254	$1$	✓	✓	$-0.153$	$0$	$0.330065$	Character $\chi_{441}(254, \cdot)$
1-21e2-441.265-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.265	$1$	✓	✓	$-0.247$	$0$	$0.221346$	Character $\chi_{441}(265, \cdot)$
1-21e2-441.281-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.281	$1$	✓	✓	$0.431$	$0$	$1.37687$	Character $\chi_{441}(281, \cdot)$
1-21e2-441.283-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.283	$1$	✓	✓	$-0.346$	$0$	$0.0940170$	Character $\chi_{441}(283, \cdot)$
1-21e2-441.284-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.284	$1$	✓	✓	$0.126$	$0$	$1.21795$	Character $\chi_{441}(284, \cdot)$
1-21e2-441.286-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.286	$1$	✓	✓	$-0.293$	$0$	$0.791031$	Character $\chi_{441}(286, \cdot)$
1-21e2-441.29-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.29	$1$	✓	✓	$-0.303$	$0$	$1.59099$	Character $\chi_{441}(29, \cdot)$
1-21e2-441.292-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.292	$1$	✓	✓	$0.320$	$0$	$1.21537$	Character $\chi_{441}(292, \cdot)$
1-21e2-441.302-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.302	$1$	✓	✓	$0.262$	$0$	$1.33635$	Character $\chi_{441}(302, \cdot)$
1-21e2-441.304-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.304	$1$	✓	✓	$0.0708$	$0$	$0.934473$	Character $\chi_{441}(304, \cdot)$
1-21e2-441.317-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.317	$1$	✓	✓	$0.247$	$0$	$1.48712$	Character $\chi_{441}(317, \cdot)$
1-21e2-441.32-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.32	$1$	✓	✓	$-0.247$	$0$	$0.321476$	Character $\chi_{441}(32, \cdot)$
1-21e2-441.326-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.326	$1$	✓	✓	$-0.303$	$0$	$0.454695$	Character $\chi_{441}(326, \cdot)$
1-21e2-441.328-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.328	$1$	✓	✓	$-0.431$	$0$	$0.650389$	Character $\chi_{441}(328, \cdot)$
1-21e2-441.338-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.338	$1$	✓	✓	$-0.0708$	$0$	$0.879274$	Character $\chi_{441}(338, \cdot)$
1-21e2-441.34-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.34	$1$	✓	✓	$0.0130$	$0$	$0.241654$	Character $\chi_{441}(34, \cdot)$
1-21e2-441.346-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.346	$1$	✓	✓	$-0.404$	$0$	$0.216186$	Character $\chi_{441}(346, \cdot)$
1-21e2-441.347-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.347	$1$	✓	✓	$0.303$	$0$	$1.82985$	Character $\chi_{441}(347, \cdot)$
1-21e2-441.349-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.349	$1$	✓	✓	$-0.262$	$0$	$0.208246$	Character $\chi_{441}(349, \cdot)$
1-21e2-441.355-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.355	$1$	✓	✓	$-0.247$	$0$	$2.17248$	Character $\chi_{441}(355, \cdot)$
1-21e2-441.365-r1-0-0	$47.3$	$47.3$	$1$	$3^{2} \cdot 7^{2}$	441.365	$1$	✓	✓	$0.303$	$0$	$0.217329$	Character $\chi_{441}(365, \cdot)$

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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.