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 144 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-21e2-441.101-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.101	$0$	✓	✓	$-0.209$	$0$	$0.922390$	Character $\chi_{441}(101, \cdot)$
1-21e2-441.104-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.104	$0$	✓	✓	$-0.456$	$0$	$0.328335$	Character $\chi_{441}(104, \cdot)$
1-21e2-441.106-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.106	$0$	✓	✓	$-0.0430$	$0$	$1.43511$	Character $\chi_{441}(106, \cdot)$
1-21e2-441.110-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.110	$0$	✓	✓	$-0.0532$	$0$	$1.18832$	Character $\chi_{441}(110, \cdot)$
1-21e2-441.121-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.121	$0$	✓	✓	$-0.446$	$0$	$0.664213$	Character $\chi_{441}(121, \cdot)$
1-21e2-441.122-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.122	$0$	✓	✓	$0.485$	$0$	$0.498567$	Character $\chi_{441}(122, \cdot)$
1-21e2-441.130-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.130	$0$	✓	✓	$0.00226$	$0$	$1.26402$	Character $\chi_{441}(130, \cdot)$
1-21e2-441.131-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.131	$0$	✓	✓	$0.209$	$0$	$0.971372$	Character $\chi_{441}(131, \cdot)$
1-21e2-441.142-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.142	$0$	✓	✓	$-0.376$	$0$	$0.543208$	Character $\chi_{441}(142, \cdot)$
1-21e2-441.151-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.151	$0$	✓	✓	$0.00226$	$0$	$1.53267$	Character $\chi_{441}(151, \cdot)$
1-21e2-441.16-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.16	$0$	✓	✓	$0.154$	$0$	$1.72225$	Character $\chi_{441}(16, \cdot)$
1-21e2-441.164-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.164	$0$	✓	✓	$-0.0532$	$0$	$1.21623$	Character $\chi_{441}(164, \cdot)$
1-21e2-441.167-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.167	$0$	✓	✓	$0.00226$	$0$	$1.66359$	Character $\chi_{441}(167, \cdot)$
1-21e2-441.169-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.169	$0$	✓	✓	$0.00226$	$0$	$1.13601$	Character $\chi_{441}(169, \cdot)$
1-21e2-441.173-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.173	$0$	✓	✓	$0.00226$	$0$	$1.02699$	Character $\chi_{441}(173, \cdot)$
1-21e2-441.184-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.184	$0$	✓	✓	$0.00226$	$0$	$0.890593$	Character $\chi_{441}(184, \cdot)$
1-21e2-441.185-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.185	$0$	✓	✓	$-0.0963$	$0$	$0.813329$	Character $\chi_{441}(185, \cdot)$
1-21e2-441.193-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.193	$0$	✓	✓	$-0.154$	$0$	$1.36685$	Character $\chi_{441}(193, \cdot)$
1-21e2-441.194-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.194	$0$	✓	✓	$-0.429$	$0$	$0.551595$	Character $\chi_{441}(194, \cdot)$
1-21e2-441.20-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.20	$0$	✓	✓	$-0.0532$	$0$	$0.690870$	Character $\chi_{441}(20, \cdot)$
1-21e2-441.205-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.205	$0$	✓	✓	$-0.403$	$0$	$0.757534$	Character $\chi_{441}(205, \cdot)$
1-21e2-441.209-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.209	$0$	✓	✓	$0.181$	$0$	$1.21748$	Character $\chi_{441}(209, \cdot)$
1-21e2-441.211-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.211	$0$	✓	✓	$-0.181$	$0$	$1.03060$	Character $\chi_{441}(211, \cdot)$
1-21e2-441.22-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.22	$0$	✓	✓	$-0.446$	$0$	$2.09262$	Character $\chi_{441}(22, \cdot)$
1-21e2-441.230-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.230	$0$	✓	✓	$-0.181$	$0$	$0.299588$	Character $\chi_{441}(230, \cdot)$
1-21e2-441.232-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.232	$0$	✓	✓	$0.181$	$0$	$1.38826$	Character $\chi_{441}(232, \cdot)$
1-21e2-441.236-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.236	$0$	✓	✓	$0.0963$	$0$	$1.06285$	Character $\chi_{441}(236, \cdot)$
1-21e2-441.247-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.247	$0$	✓	✓	$0.0702$	$0$	$0.961195$	Character $\chi_{441}(247, \cdot)$
1-21e2-441.248-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.248	$0$	✓	✓	$-0.154$	$0$	$0.776034$	Character $\chi_{441}(248, \cdot)$
1-21e2-441.25-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.25	$0$	✓	✓	$-0.0702$	$0$	$0.806939$	Character $\chi_{441}(25, \cdot)$
1-21e2-441.256-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.256	$0$	✓	✓	$0.403$	$0$	$2.13659$	Character $\chi_{441}(256, \cdot)$
1-21e2-441.257-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.257	$0$	✓	✓	$0.00226$	$0$	$1.26113$	Character $\chi_{441}(257, \cdot)$
1-21e2-441.268-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.268	$0$	✓	✓	$0.00226$	$0$	$0.611475$	Character $\chi_{441}(268, \cdot)$
1-21e2-441.272-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.272	$0$	✓	✓	$0.00226$	$0$	$1.51568$	Character $\chi_{441}(272, \cdot)$
1-21e2-441.274-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.274	$0$	✓	✓	$0.00226$	$0$	$0.945089$	Character $\chi_{441}(274, \cdot)$
1-21e2-441.277-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.277	$0$	✓	✓	$0.446$	$0$	$2.15155$	Character $\chi_{441}(277, \cdot)$
1-21e2-441.290-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.290	$0$	✓	✓	$0.00226$	$0$	$0.655964$	Character $\chi_{441}(290, \cdot)$
1-21e2-441.299-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.299	$0$	✓	✓	$0.123$	$0$	$1.33025$	Character $\chi_{441}(299, \cdot)$
1-21e2-441.310-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.310	$0$	✓	✓	$-0.290$	$0$	$0.546957$	Character $\chi_{441}(310, \cdot)$
1-21e2-441.311-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.311	$0$	✓	✓	$0.00226$	$0$	$0.502959$	Character $\chi_{441}(311, \cdot)$
1-21e2-441.319-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.319	$0$	✓	✓	$0.485$	$0$	$1.50543$	Character $\chi_{441}(319, \cdot)$
1-21e2-441.320-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.320	$0$	✓	✓	$0.0532$	$0$	$1.07745$	Character $\chi_{441}(320, \cdot)$
1-21e2-441.331-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.331	$0$	✓	✓	$0.446$	$0$	$1.55259$	Character $\chi_{441}(331, \cdot)$
1-21e2-441.335-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.335	$0$	✓	✓	$0.456$	$0$	$1.82263$	Character $\chi_{441}(335, \cdot)$
1-21e2-441.337-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.337	$0$	✓	✓	$0.0430$	$0$	$1.46664$	Character $\chi_{441}(337, \cdot)$
1-21e2-441.340-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.340	$0$	✓	✓	$0.290$	$0$	$0.992598$	Character $\chi_{441}(340, \cdot)$
1-21e2-441.353-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.353	$0$	✓	✓	$-0.179$	$0$	$0.369501$	Character $\chi_{441}(353, \cdot)$
1-21e2-441.356-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.356	$0$	✓	✓	$0.236$	$0$	$1.24142$	Character $\chi_{441}(356, \cdot)$
1-21e2-441.358-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.358	$0$	✓	✓	$0.263$	$0$	$1.32529$	Character $\chi_{441}(358, \cdot)$
1-21e2-441.38-r0-0-0	$2.04$	$2.04$	$1$	$3^{2} \cdot 7^{2}$	441.38	$0$	✓	✓	$-0.151$	$0$	$1.39431$	Character $\chi_{441}(38, \cdot)$

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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.