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 369 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-473-473.102-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.102	$0$	✓	✓	$0.187$	$0$	$1.08586$	Character $\chi_{473}(102, \cdot)$
1-473-473.103-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.103	$0$	✓	✓	$0.128$	$0$	$1.12943$	Character $\chi_{473}(103, \cdot)$
1-473-473.105-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.105	$0$	✓	✓	$0.217$	$0$	$1.71807$	Character $\chi_{473}(105, \cdot)$
1-473-473.106-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.106	$0$	✓	✓	$-0.271$	$0$	$0.719661$	Character $\chi_{473}(106, \cdot)$
1-473-473.112-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.112	$0$	✓	✓	$0.225$	$0$	$1.67603$	Character $\chi_{473}(112, \cdot)$
1-473-473.116-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.116	$0$	✓	✓	$0.144$	$0$	$1.52138$	Character $\chi_{473}(116, \cdot)$
1-473-473.118-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.118	$0$	✓	✓	$0.0941$	$0$	$1.02757$	Character $\chi_{473}(118, \cdot)$
1-473-473.120-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.120	$0$	✓	✓	$-0.264$	$0$	$0.400204$	Character $\chi_{473}(120, \cdot)$
1-473-473.123-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.123	$0$	✓	✓	$0.282$	$0$	$1.52922$	Character $\chi_{473}(123, \cdot)$
1-473-473.124-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.124	$0$	✓	✓	$-0.128$	$0$	$0.579042$	Character $\chi_{473}(124, \cdot)$
1-473-473.126-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.126	$0$	✓	✓	$0.102$	$0$	$1.44730$	Character $\chi_{473}(126, \cdot)$
1-473-473.128-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.128	$0$	✓	✓	$-0.361$	$0$	$2.60590$	Character $\chi_{473}(128, \cdot)$
1-473-473.131-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.131	$0$	✓	✓	$-0.298$	$0$	$1.18147$	Character $\chi_{473}(131, \cdot)$
1-473-473.134-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.134	$0$	✓	✓	$-0.132$	$0$	$2.71713$	Character $\chi_{473}(134, \cdot)$
1-473-473.135-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.135	$0$	✓	✓	$-0.221$	$0$	$1.39280$	Character $\chi_{473}(135, \cdot)$
1-473-473.14-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.14	$0$	✓	✓	$-0.0637$	$0$	$1.45087$	Character $\chi_{473}(14, \cdot)$
1-473-473.146-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.146	$0$	✓	✓	$-0.0785$	$0$	$0.262701$	Character $\chi_{473}(146, \cdot)$
1-473-473.149-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.149	$0$	✓	✓	$0.0434$	$0$	$1.44022$	Character $\chi_{473}(149, \cdot)$
1-473-473.15-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.15	$0$	✓	✓	$0.139$	$0$	$1.80712$	Character $\chi_{473}(15, \cdot)$
1-473-473.151-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.151	$0$	✓	✓	$-0.340$	$0$	$0.918626$	Character $\chi_{473}(151, \cdot)$
1-473-473.152-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.152	$0$	✓	✓	$-0.178$	$0$	$1.07441$	Character $\chi_{473}(152, \cdot)$
1-473-473.156-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.156	$0$	✓	✓	$0.0778$	$0$	$2.08126$	Character $\chi_{473}(156, \cdot)$
1-473-473.16-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.16	$0$	✓	✓	$0.433$	$0$	$0.869890$	Character $\chi_{473}(16, \cdot)$
1-473-473.161-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.161	$0$	✓	✓	$0.372$	$0$	$1.76614$	Character $\chi_{473}(161, \cdot)$
1-473-473.162-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.162	$0$	✓	✓	$0.169$	$0$	$1.00584$	Character $\chi_{473}(162, \cdot)$
1-473-473.169-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.169	$0$	✓	✓	$0.0637$	$0$	$0.974364$	Character $\chi_{473}(169, \cdot)$
1-473-473.170-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.170	$0$	✓	✓	$0.322$	$0$	$1.07138$	Character $\chi_{473}(170, \cdot)$
1-473-473.171-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.171	$0$	✓	✓	$-0.0465$	$0$	$1.05593$	Character $\chi_{473}(171, \cdot)$
1-473-473.175-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.175	$0$	✓	✓	$0.421$	$0$	$2.05759$	Character $\chi_{473}(175, \cdot)$
1-473-473.18-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.18	$0$	✓	✓	$0.378$	$0$	$1.37920$	Character $\chi_{473}(18, \cdot)$
1-473-473.181-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.181	$0$	✓	✓	$-0.189$	$0$	$0.666851$	Character $\chi_{473}(181, \cdot)$
1-473-473.184-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.184	$0$	✓	✓	$-0.378$	$0$	$0.879769$	Character $\chi_{473}(184, \cdot)$
1-473-473.185-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.185	$0$	✓	✓	$0.483$	$0$	$1.46950$	Character $\chi_{473}(185, \cdot)$
1-473-473.19-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.19	$0$	✓	✓	$-0.374$	$0$	$0.604313$	Character $\chi_{473}(19, \cdot)$
1-473-473.194-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.194	$0$	✓	✓	$-0.0627$	$0$	$0.848274$	Character $\chi_{473}(194, \cdot)$
1-473-473.196-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.196	$0$	✓	✓	$0.189$	$0$	$1.06844$	Character $\chi_{473}(196, \cdot)$
1-473-473.2-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.2	$0$	✓	✓	$-0.248$	$0$	$0.0946387$	Character $\chi_{473}(2, \cdot)$
1-473-473.200-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.200	$0$	✓	✓	$-0.0434$	$0$	$0.796470$	Character $\chi_{473}(200, \cdot)$
1-473-473.203-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.203	$0$	✓	✓	$0.203$	$0$	$1.44607$	Character $\chi_{473}(203, \cdot)$
1-473-473.204-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.204	$0$	✓	✓	$-0.313$	$0$	$0.689018$	Character $\chi_{473}(204, \cdot)$
1-473-473.205-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.205	$0$	✓	✓	$0.447$	$0$	$1.61495$	Character $\chi_{473}(205, \cdot)$
1-473-473.206-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.206	$0$	✓	✓	$0.0968$	$0$	$1.80147$	Character $\chi_{473}(206, \cdot)$
1-473-473.207-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.207	$0$	✓	✓	$-0.433$	$0$	$2.44260$	Character $\chi_{473}(207, \cdot)$
1-473-473.211-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.211	$0$	✓	✓	$0.313$	$0$	$1.36391$	Character $\chi_{473}(211, \cdot)$
1-473-473.212-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.212	$0$	✓	✓	$-0.143$	$0$	$1.49808$	Character $\chi_{473}(212, \cdot)$
1-473-473.213-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.213	$0$	✓	✓	$0.283$	$0$	$1.82270$	Character $\chi_{473}(213, \cdot)$
1-473-473.217-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.217	$0$	✓	✓	$0.0627$	$0$	$1.36905$	Character $\chi_{473}(217, \cdot)$
1-473-473.222-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.222	$0$	✓	✓	$-0.189$	$0$	$0.795261$	Character $\chi_{473}(222, \cdot)$
1-473-473.224-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.224	$0$	✓	✓	$-0.228$	$0$	$0.714812$	Character $\chi_{473}(224, \cdot)$
1-473-473.225-r0-0-0	$2.19$	$2.19$	$1$	$11 \cdot 43$	473.225	$0$	✓	✓	$-0.483$	$0$	$0.343949$	Character $\chi_{473}(225, \cdot)$

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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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Results (1-50 of 369 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.