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 104 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-633-633.101-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.101	$1$	✓	✓	$-0.406$	$0$	$0.114395$	Character $\chi_{633}(101, \cdot)$
1-633-633.107-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.107	$1$	✓	✓	$-0.476$	$0$	$0.630300$	Character $\chi_{633}(107, \cdot)$
1-633-633.11-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.11	$1$	✓	✓	$0.103$	$0$	$0.371045$	Character $\chi_{633}(11, \cdot)$
1-633-633.113-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.113	$1$	✓	✓	$-0.312$	$0$	$0.115844$	Character $\chi_{633}(113, \cdot)$
1-633-633.119-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.119	$1$	✓	✓	$0.0261$	$0$	$0.779158$	Character $\chi_{633}(119, \cdot)$
1-633-633.122-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.122	$1$	✓	✓	$-0.339$	$0$	$0.516241$	Character $\chi_{633}(122, \cdot)$
1-633-633.125-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.125	$1$	✓	✓	$-0.0255$	$0$	$0.394696$	Character $\chi_{633}(125, \cdot)$
1-633-633.134-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.134	$1$	✓	✓	$0.161$	$0$	$0.739627$	Character $\chi_{633}(134, \cdot)$
1-633-633.137-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.137	$1$	✓	✓	$-0.161$	$0$	$0.217407$	Character $\chi_{633}(137, \cdot)$
1-633-633.14-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.14	$1$	✓	✓	$0.274$	$0$	$0.624873$	Character $\chi_{633}(14, \cdot)$
1-633-633.143-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.143	$1$	✓	✓	$0.441$	$0$	$0.243086$	Character $\chi_{633}(143, \cdot)$
1-633-633.161-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.161	$1$	✓	✓	$0.0891$	$0$	$0.745310$	Character $\chi_{633}(161, \cdot)$
1-633-633.170-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.170	$1$	✓	✓	$-0.316$	$0$	$0.0464224$	Character $\chi_{633}(170, \cdot)$
1-633-633.173-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.173	$1$	✓	✓	$-0.0891$	$0$	$1.06637$	Character $\chi_{633}(173, \cdot)$
1-633-633.176-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.176	$1$	✓	✓	$-0.220$	$0$	$0.532018$	Character $\chi_{633}(176, \cdot)$
1-633-633.179-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.179	$1$	✓	✓	$0.464$	$0$	$0.0195530$	Character $\chi_{633}(179, \cdot)$
1-633-633.182-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.182	$1$	✓	✓	$0.478$	$0$	$0.415630$	Character $\chi_{633}(182, \cdot)$
1-633-633.185-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.185	$1$	✓	✓	$-0.289$	$0$	$0.118735$	Character $\chi_{633}(185, \cdot)$
1-633-633.188-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.188	$1$	✓	✓	$-0.0147$	$0$	$0.493492$	Character $\chi_{633}(188, \cdot)$
1-633-633.194-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.194	$1$	✓	✓	$-0.324$	$0$	$0.485991$	Character $\chi_{633}(194, \cdot)$
1-633-633.20-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.20	$1$	✓	✓	$-0.382$	$0$	$0.120969$	Character $\chi_{633}(20, \cdot)$
1-633-633.203-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.203	$1$	✓	✓	$0.266$	$0$	$1.22087$	Character $\chi_{633}(203, \cdot)$
1-633-633.209-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.209	$1$	✓	✓	$0.173$	$0$	$1.43549$	Character $\chi_{633}(209, \cdot)$
1-633-633.215-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.215	$1$	✓	✓	$-0.271$	$0$	$0.244812$	Character $\chi_{633}(215, \cdot)$
1-633-633.224-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.224	$1$	✓	✓	$0.123$	$0$	$0.607539$	Character $\chi_{633}(224, \cdot)$
1-633-633.227-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.227	$1$	✓	✓	$-0.369$	$0$	$0.351048$	Character $\chi_{633}(227, \cdot)$
1-633-633.230-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.230	$1$	✓	✓	$0.0702$	$0$	$0.391107$	Character $\chi_{633}(230, \cdot)$
1-633-633.236-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.236	$1$	✓	✓	$0.206$	$0$	$0.985835$	Character $\chi_{633}(236, \cdot)$
1-633-633.245-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.245	$1$	✓	✓	$-0.216$	$0$	$0.143835$	Character $\chi_{633}(245, \cdot)$
1-633-633.248-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.248	$1$	✓	✓	$0.345$	$0$	$1.41076$	Character $\chi_{633}(248, \cdot)$
1-633-633.254-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.254	$1$	✓	✓	$0.477$	$0$	$0.502432$	Character $\chi_{633}(254, \cdot)$
1-633-633.257-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.257	$1$	✓	✓	$-0.395$	$0$	$1.46168$	Character $\chi_{633}(257, \cdot)$
1-633-633.260-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.260	$1$	✓	✓	$-0.167$	$0$	$0.841283$	Character $\chi_{633}(260, \cdot)$
1-633-633.263-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.263	$1$	✓	✓	$0.408$	$0$	$1.01264$	Character $\chi_{633}(263, \cdot)$
1-633-633.266-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.266	$1$	✓	✓	$0.0147$	$0$	$0.871502$	Character $\chi_{633}(266, \cdot)$
1-633-633.269-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.269	$1$	✓	✓	$-0.400$	$0$	$1.28003$	Character $\chi_{633}(269, \cdot)$
1-633-633.275-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.275	$1$	✓	✓	$0.339$	$0$	$1.38324$	Character $\chi_{633}(275, \cdot)$
1-633-633.281-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.281	$1$	✓	✓	$-0.358$	$0$	$0.298545$	Character $\chi_{633}(281, \cdot)$
1-633-633.284-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.284	$1$	✓	✓	$0.289$	$0$	$0.344874$	Character $\chi_{633}(284, \cdot)$
1-633-633.287-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.287	$1$	✓	✓	$-0.206$	$0$	$0.0379994$	Character $\chi_{633}(287, \cdot)$
1-633-633.290-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.290	$1$	✓	✓	$-0.266$	$0$	$0.530736$	Character $\chi_{633}(290, \cdot)$
1-633-633.293-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.293	$1$	✓	✓	$-0.184$	$0$	$0.622810$	Character $\chi_{633}(293, \cdot)$
1-633-633.311-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.311	$1$	✓	✓	$-0.0702$	$0$	$0.885288$	Character $\chi_{633}(311, \cdot)$
1-633-633.314-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.314	$1$	✓	✓	$-0.158$	$0$	$0.714422$	Character $\chi_{633}(314, \cdot)$
1-633-633.320-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.320	$1$	✓	✓	$-0.214$	$0$	$2.04210$	Character $\chi_{633}(320, \cdot)$
1-633-633.332-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.332	$1$	✓	✓	$-0.441$	$0$	$2.10023$	Character $\chi_{633}(332, \cdot)$
1-633-633.347-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.347	$1$	✓	✓	$0.281$	$0$	$0.677657$	Character $\chi_{633}(347, \cdot)$
1-633-633.350-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.350	$1$	✓	✓	$0.392$	$0$	$0.967166$	Character $\chi_{633}(350, \cdot)$
1-633-633.359-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.359	$1$	✓	✓	$0.345$	$0$	$1.56137$	Character $\chi_{633}(359, \cdot)$
1-633-633.362-r1-0-0	$68.0$	$68.0$	$1$	$3 \cdot 211$	633.362	$1$	✓	✓	$0.214$	$0$	$0.187016$	Character $\chi_{633}(362, \cdot)$

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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.