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 150 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-605-605.104-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.104	$0$	✓	✓	$-0.0446$	$0$	$0.928297$	Character $\chi_{605}(104, \cdot)$
1-605-605.107-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.107	$0$	✓	✓	$0.143$	$0$	$1.64335$	Character $\chi_{605}(107, \cdot)$
1-605-605.114-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.114	$0$	✓	✓	$0.333$	$0$	$2.11041$	Character $\chi_{605}(114, \cdot)$
1-605-605.117-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.117	$0$	✓	✓	$-0.247$	$0$	$0.682805$	Character $\chi_{605}(117, \cdot)$
1-605-605.119-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.119	$0$	✓	✓	$0.198$	$0$	$1.58882$	Character $\chi_{605}(119, \cdot)$
1-605-605.123-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.123	$0$	✓	✓	$-0.139$	$0$	$1.28054$	Character $\chi_{605}(123, \cdot)$
1-605-605.127-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.127	$0$	✓	✓	$0.0364$	$0$	$1.56778$	Character $\chi_{605}(127, \cdot)$
1-605-605.128-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.128	$0$	✓	✓	$0.495$	$0$	$0.656261$	Character $\chi_{605}(128, \cdot)$
1-605-605.13-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.13	$0$	✓	✓	$-0.0232$	$0$	$1.28852$	Character $\chi_{605}(13, \cdot)$
1-605-605.138-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.138	$0$	✓	✓	$-0.382$	$0$	$1.57534$	Character $\chi_{605}(138, \cdot)$
1-605-605.14-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.14	$0$	✓	✓	$-0.195$	$0$	$1.10378$	Character $\chi_{605}(14, \cdot)$
1-605-605.142-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.142	$0$	✓	✓	$0.271$	$0$	$1.61724$	Character $\chi_{605}(142, \cdot)$
1-605-605.144-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.144	$0$	✓	✓	$0.0661$	$0$	$0.804489$	Character $\chi_{605}(144, \cdot)$
1-605-605.153-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.153	$0$	✓	✓	$0.0172$	$0$	$1.22472$	Character $\chi_{605}(153, \cdot)$
1-605-605.159-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.159	$0$	✓	✓	$-0.266$	$0$	$0.425759$	Character $\chi_{605}(159, \cdot)$
1-605-605.162-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.162	$0$	✓	✓	$0.0364$	$0$	$0.826383$	Character $\chi_{605}(162, \cdot)$
1-605-605.167-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.167	$0$	✓	✓	$-0.406$	$0$	$0.791497$	Character $\chi_{605}(167, \cdot)$
1-605-605.169-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.169	$0$	✓	✓	$0.466$	$0$	$1.61515$	Character $\chi_{605}(169, \cdot)$
1-605-605.17-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.17	$0$	✓	✓	$-0.206$	$0$	$0.974070$	Character $\chi_{605}(17, \cdot)$
1-605-605.172-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.172	$0$	✓	✓	$-0.00652$	$0$	$0.687031$	Character $\chi_{605}(172, \cdot)$
1-605-605.173-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.173	$0$	✓	✓	$0.328$	$0$	$0.0740997$	Character $\chi_{605}(173, \cdot)$
1-605-605.174-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.174	$0$	✓	✓	$0.133$	$0$	$0.797843$	Character $\chi_{605}(174, \cdot)$
1-605-605.178-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.178	$0$	✓	✓	$0.206$	$0$	$1.09756$	Character $\chi_{605}(178, \cdot)$
1-605-605.179-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.179	$0$	✓	✓	$-0.466$	$0$	$0.595283$	Character $\chi_{605}(179, \cdot)$
1-605-605.18-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.18	$0$	✓	✓	$-0.139$	$0$	$0.823099$	Character $\chi_{605}(18, \cdot)$
1-605-605.182-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.182	$0$	✓	✓	$0.139$	$0$	$1.13101$	Character $\chi_{605}(182, \cdot)$
1-605-605.183-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.183	$0$	✓	✓	$-0.0364$	$0$	$1.09457$	Character $\chi_{605}(183, \cdot)$
1-605-605.193-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.193	$0$	✓	✓	$0.456$	$0$	$1.24541$	Character $\chi_{605}(193, \cdot)$
1-605-605.197-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.197	$0$	✓	✓	$-0.256$	$0$	$0.855619$	Character $\chi_{605}(197, \cdot)$
1-605-605.199-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.199	$0$	✓	✓	$-0.404$	$0$	$1.35687$	Character $\chi_{605}(199, \cdot)$
1-605-605.2-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.2	$0$	✓	✓	$0.0364$	$0$	$0.489144$	Character $\chi_{605}(2, \cdot)$
1-605-605.208-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.208	$0$	✓	✓	$-0.193$	$0$	$0.476831$	Character $\chi_{605}(208, \cdot)$
1-605-605.214-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.214	$0$	✓	✓	$0.185$	$0$	$1.41007$	Character $\chi_{605}(214, \cdot)$
1-605-605.217-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.217	$0$	✓	✓	$0.393$	$0$	$2.20074$	Character $\chi_{605}(217, \cdot)$
1-605-605.222-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.222	$0$	✓	✓	$0.139$	$0$	$0.872386$	Character $\chi_{605}(222, \cdot)$
1-605-605.224-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.224	$0$	✓	✓	$0.198$	$0$	$1.48698$	Character $\chi_{605}(224, \cdot)$
1-605-605.227-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.227	$0$	✓	✓	$0.343$	$0$	$1.08497$	Character $\chi_{605}(227, \cdot)$
1-605-605.228-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.228	$0$	✓	✓	$-0.0331$	$0$	$0.813886$	Character $\chi_{605}(228, \cdot)$
1-605-605.229-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.229	$0$	✓	✓	$-0.185$	$0$	$0.699615$	Character $\chi_{605}(229, \cdot)$
1-605-605.234-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.234	$0$	✓	✓	$0.00495$	$0$	$1.57629$	Character $\chi_{605}(234, \cdot)$
1-605-605.237-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.237	$0$	✓	✓	$-0.0569$	$0$	$0.829288$	Character $\chi_{605}(237, \cdot)$
1-605-605.238-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.238	$0$	✓	✓	$-0.423$	$0$	$1.72966$	Character $\chi_{605}(238, \cdot)$
1-605-605.248-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.248	$0$	✓	✓	$-0.139$	$0$	$0.480418$	Character $\chi_{605}(248, \cdot)$
1-605-605.252-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.252	$0$	✓	✓	$-0.376$	$0$	$0.914245$	Character $\chi_{605}(252, \cdot)$
1-605-605.254-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.254	$0$	✓	✓	$0.214$	$0$	$0.868579$	Character $\chi_{605}(254, \cdot)$
1-605-605.263-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.263	$0$	✓	✓	$0.0957$	$0$	$1.01498$	Character $\chi_{605}(263, \cdot)$
1-605-605.272-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.272	$0$	✓	✓	$0.423$	$0$	$0.00715687$	Character $\chi_{605}(272, \cdot)$
1-605-605.277-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.277	$0$	✓	✓	$0.104$	$0$	$1.38282$	Character $\chi_{605}(277, \cdot)$
1-605-605.279-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.279	$0$	✓	✓	$-0.0148$	$0$	$1.62123$	Character $\chi_{605}(279, \cdot)$
1-605-605.28-r0-0-0	$2.80$	$2.80$	$1$	$5 \cdot 11^{2}$	605.28	$0$	✓	✓	$-0.152$	$0$	$0.767287$	Character $\chi_{605}(28, \cdot)$

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Universe	Knowledge

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.