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 84 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-828-828.103-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.103	$0$	✓	✓	$-0.317$	$0$	$0.320025$	Character $\chi_{828}(103, \cdot)$
1-828-828.119-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.119	$0$	✓	✓	$-0.0620$	$0$	$0.908320$	Character $\chi_{828}(119, \cdot)$
1-828-828.131-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.131	$0$	✓	✓	$-0.466$	$0$	$0.250666$	Character $\chi_{828}(131, \cdot)$
1-828-828.167-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.167	$0$	✓	✓	$0.0620$	$0$	$1.11378$	Character $\chi_{828}(167, \cdot)$
1-828-828.175-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.175	$0$	✓	✓	$-0.217$	$0$	$0.632793$	Character $\chi_{828}(175, \cdot)$
1-828-828.239-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.239	$0$	✓	✓	$0.0316$	$0$	$0.791351$	Character $\chi_{828}(239, \cdot)$
1-828-828.247-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.247	$0$	✓	✓	$-0.0349$	$0$	$1.17834$	Character $\chi_{828}(247, \cdot)$
1-828-828.283-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.283	$0$	✓	✓	$0.145$	$0$	$0.974442$	Character $\chi_{828}(283, \cdot)$
1-828-828.295-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.295	$0$	✓	✓	$0.0349$	$0$	$1.18243$	Character $\chi_{828}(295, \cdot)$
1-828-828.311-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.311	$0$	✓	✓	$0.188$	$0$	$1.44517$	Character $\chi_{828}(311, \cdot)$
1-828-828.319-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.319	$0$	✓	✓	$-0.121$	$0$	$0.940044$	Character $\chi_{828}(319, \cdot)$
1-828-828.335-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.335	$0$	✓	✓	$0.466$	$0$	$1.64083$	Character $\chi_{828}(335, \cdot)$
1-828-828.347-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.347	$0$	✓	✓	$0.200$	$0$	$1.20237$	Character $\chi_{828}(347, \cdot)$
1-828-828.355-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.355	$0$	✓	✓	$-0.256$	$0$	$0.542968$	Character $\chi_{828}(355, \cdot)$
1-828-828.367-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.367	$0$	✓	✓	$-0.444$	$0$	$0.330018$	Character $\chi_{828}(367, \cdot)$
1-828-828.371-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.371	$0$	✓	✓	$0.299$	$0$	$1.37245$	Character $\chi_{828}(371, \cdot)$
1-828-828.407-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.407	$0$	✓	✓	$0.144$	$0$	$1.32676$	Character $\chi_{828}(407, \cdot)$
1-828-828.43-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.43	$0$	✓	✓	$-0.0104$	$0$	$0.668872$	Character $\chi_{828}(43, \cdot)$
1-828-828.443-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.443	$0$	✓	✓	$-0.326$	$0$	$0.568067$	Character $\chi_{828}(443, \cdot)$
1-828-828.455-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.455	$0$	✓	✓	$0.357$	$0$	$1.66245$	Character $\chi_{828}(455, \cdot)$
1-828-828.475-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.475	$0$	✓	✓	$0.121$	$0$	$1.45458$	Character $\chi_{828}(475, \cdot)$
1-828-828.491-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.491	$0$	✓	✓	$-0.299$	$0$	$0.317695$	Character $\chi_{828}(491, \cdot)$
1-828-828.511-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.511	$0$	✓	✓	$0.217$	$0$	$1.25769$	Character $\chi_{828}(511, \cdot)$
1-828-828.515-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.515	$0$	✓	✓	$-0.357$	$0$	$0.274343$	Character $\chi_{828}(515, \cdot)$
1-828-828.571-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.571	$0$	✓	✓	$-0.0761$	$0$	$0.755597$	Character $\chi_{828}(571, \cdot)$
1-828-828.587-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.587	$0$	✓	✓	$-0.200$	$0$	$0.684744$	Character $\chi_{828}(587, \cdot)$
1-828-828.59-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.59	$0$	✓	✓	$-0.144$	$0$	$1.00531$	Character $\chi_{828}(59, \cdot)$
1-828-828.619-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.619	$0$	✓	✓	$0.317$	$0$	$1.49962$	Character $\chi_{828}(619, \cdot)$
1-828-828.623-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.623	$0$	✓	✓	$-0.188$	$0$	$0.796635$	Character $\chi_{828}(623, \cdot)$
1-828-828.643-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.643	$0$	✓	✓	$0.444$	$0$	$1.81717$	Character $\chi_{828}(643, \cdot)$
1-828-828.655-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.655	$0$	✓	✓	$-0.206$	$0$	$0.897711$	Character $\chi_{828}(655, \cdot)$
1-828-828.67-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.67	$0$	✓	✓	$0.206$	$0$	$1.46020$	Character $\chi_{828}(67, \cdot)$
1-828-828.671-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.671	$0$	✓	✓	$0.326$	$0$	$1.45700$	Character $\chi_{828}(671, \cdot)$
1-828-828.7-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.7	$0$	✓	✓	$0.256$	$0$	$1.32309$	Character $\chi_{828}(7, \cdot)$
1-828-828.727-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.727	$0$	✓	✓	$-0.106$	$0$	$0.553425$	Character $\chi_{828}(727, \cdot)$
1-828-828.731-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.731	$0$	✓	✓	$-0.0316$	$0$	$0.613967$	Character $\chi_{828}(731, \cdot)$
1-828-828.751-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.751	$0$	✓	✓	$0.0104$	$0$	$0.665959$	Character $\chi_{828}(751, \cdot)$
1-828-828.767-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.767	$0$	✓	✓	$0.311$	$0$	$1.70524$	Character $\chi_{828}(767, \cdot)$
1-828-828.787-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.787	$0$	✓	✓	$0.106$	$0$	$1.14101$	Character $\chi_{828}(787, \cdot)$
1-828-828.79-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.79	$0$	✓	✓	$-0.145$	$0$	$0.557830$	Character $\chi_{828}(79, \cdot)$
1-828-828.799-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.799	$0$	✓	✓	$0.0761$	$0$	$1.10176$	Character $\chi_{828}(799, \cdot)$
1-828-828.95-r0-0-0	$3.84$	$3.84$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.95	$0$	✓	✓	$-0.311$	$0$	$0.612310$	Character $\chi_{828}(95, \cdot)$
1-828-828.11-r1-0-0	$88.9$	$88.9$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.11	$1$	✓	✓	$-0.456$	$0$	$1.61863$	Character $\chi_{828}(11, \cdot)$
1-828-828.151-r1-0-0	$88.9$	$88.9$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.151	$1$	✓	✓	$0.216$	$0$	$1.20467$	Character $\chi_{828}(151, \cdot)$
1-828-828.155-r1-0-0	$88.9$	$88.9$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.155	$1$	✓	✓	$-0.173$	$0$	$0.337166$	Character $\chi_{828}(155, \cdot)$
1-828-828.187-r1-0-0	$88.9$	$88.9$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.187	$1$	✓	✓	$0.0497$	$0$	$0.914656$	Character $\chi_{828}(187, \cdot)$
1-828-828.191-r1-0-0	$88.9$	$88.9$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.191	$1$	✓	✓	$0.00612$	$0$	$0.434181$	Character $\chi_{828}(191, \cdot)$
1-828-828.203-r1-0-0	$88.9$	$88.9$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.203	$1$	✓	✓	$0.173$	$0$	$1.06392$	Character $\chi_{828}(203, \cdot)$
1-828-828.211-r1-0-0	$88.9$	$88.9$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.211	$1$	✓	✓	$-0.423$	$0$	$0.0271401$	Character $\chi_{828}(211, \cdot)$
1-828-828.223-r1-0-0	$88.9$	$88.9$	$1$	$2^{2} \cdot 3^{2} \cdot 23$	828.223	$1$	✓	✓	$-0.105$	$0$	$0.539296$	Character $\chi_{828}(223, \cdot)$

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Classical	Maass
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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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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.