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 200 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-33e2-1089.1003-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1003	$1$	✓	✓	$0.402$	$0$	$1.39304$	Character $\chi_{1089}(1003, \cdot)$
1-33e2-1089.1004-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1004	$1$	✓	✓	$-0.402$	$0$	$0.220199$	Character $\chi_{1089}(1004, \cdot)$
1-33e2-1089.1010-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1010	$1$	✓	✓	$-0.304$	$0$	$0.131377$	Character $\chi_{1089}(1010, \cdot)$
1-33e2-1089.1013-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1013	$1$	✓	✓	$-0.249$	$0$	$1.90959$	Character $\chi_{1089}(1013, \cdot)$
1-33e2-1089.1028-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1028	$1$	✓	✓	$0.346$	$0$	$1.29561$	Character $\chi_{1089}(1028, \cdot)$
1-33e2-1089.1030-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1030	$1$	✓	✓	$0.00215$	$0$	$0.437962$	Character $\chi_{1089}(1030, \cdot)$
1-33e2-1089.1033-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1033	$1$	✓	✓	$0.0466$	$0$	$0.671060$	Character $\chi_{1089}(1033, \cdot)$
1-33e2-1089.1037-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1037	$1$	✓	✓	$-0.352$	$0$	$0.247423$	Character $\chi_{1089}(1037, \cdot)$
1-33e2-1089.104-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.104	$1$	✓	✓	$-0.0804$	$0$	$0.914505$	Character $\chi_{1089}(104, \cdot)$
1-33e2-1089.1042-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1042	$1$	✓	✓	$-0.353$	$0$	$1.81720$	Character $\chi_{1089}(1042, \cdot)$
1-33e2-1089.1046-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1046	$1$	✓	✓	$0.249$	$0$	$0.222057$	Character $\chi_{1089}(1046, \cdot)$
1-33e2-1089.1051-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1051	$1$	✓	✓	$-0.402$	$0$	$0.658536$	Character $\chi_{1089}(1051, \cdot)$
1-33e2-1089.106-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.106	$1$	✓	✓	$0.195$	$0$	$0.602015$	Character $\chi_{1089}(106, \cdot)$
1-33e2-1089.1066-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1066	$1$	✓	✓	$0.00298$	$0$	$0.441142$	Character $\chi_{1089}(1066, \cdot)$
1-33e2-1089.1069-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1069	$1$	✓	✓	$0.246$	$0$	$0.0236086$	Character $\chi_{1089}(1069, \cdot)$
1-33e2-1089.1075-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1075	$1$	✓	✓	$-0.249$	$0$	$0.588834$	Character $\chi_{1089}(1075, \cdot)$
1-33e2-1089.1076-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1076	$1$	✓	✓	$0.00280$	$0$	$0.330197$	Character $\chi_{1089}(1076, \cdot)$
1-33e2-1089.1082-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1082	$1$	✓	✓	$0.297$	$0$	$0.0727260$	Character $\chi_{1089}(1082, \cdot)$
1-33e2-1089.1084-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.1084	$1$	✓	✓	$-0.249$	$0$	$0.0435982$	Character $\chi_{1089}(1084, \cdot)$
1-33e2-1089.113-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.113	$1$	✓	✓	$0.304$	$0$	$0.968448$	Character $\chi_{1089}(113, \cdot)$
1-33e2-1089.119-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.119	$1$	✓	✓	$-0.402$	$0$	$0.0816206$	Character $\chi_{1089}(119, \cdot)$
1-33e2-1089.13-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.13	$1$	✓	✓	$0.00280$	$0$	$0.454406$	Character $\chi_{1089}(13, \cdot)$
1-33e2-1089.137-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.137	$1$	✓	✓	$0.0474$	$0$	$0.443930$	Character $\chi_{1089}(137, \cdot)$
1-33e2-1089.139-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.139	$1$	✓	✓	$0.353$	$0$	$0.185283$	Character $\chi_{1089}(139, \cdot)$
1-33e2-1089.14-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.14	$1$	✓	✓	$-0.249$	$0$	$0.926379$	Character $\chi_{1089}(14, \cdot)$
1-33e2-1089.142-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.142	$1$	✓	✓	$0.00298$	$0$	$0.435210$	Character $\chi_{1089}(142, \cdot)$
1-33e2-1089.146-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.146	$1$	✓	✓	$0.263$	$0$	$0.860065$	Character $\chi_{1089}(146, \cdot)$
1-33e2-1089.151-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.151	$1$	✓	✓	$0.202$	$0$	$0.957088$	Character $\chi_{1089}(151, \cdot)$
1-33e2-1089.155-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.155	$1$	✓	✓	$0.480$	$0$	$0.200286$	Character $\chi_{1089}(155, \cdot)$
1-33e2-1089.158-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.158	$1$	✓	✓	$0.458$	$0$	$0.929181$	Character $\chi_{1089}(158, \cdot)$
1-33e2-1089.160-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.160	$1$	✓	✓	$-0.158$	$0$	$0.381016$	Character $\chi_{1089}(160, \cdot)$
1-33e2-1089.175-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.175	$1$	✓	✓	$-0.0466$	$0$	$1.08888$	Character $\chi_{1089}(175, \cdot)$
1-33e2-1089.178-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.178	$1$	✓	✓	$-0.419$	$0$	$0.978171$	Character $\chi_{1089}(178, \cdot)$
1-33e2-1089.184-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.184	$1$	✓	✓	$-0.247$	$0$	$0.705405$	Character $\chi_{1089}(184, \cdot)$
1-33e2-1089.185-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.185	$1$	✓	✓	$0.136$	$0$	$1.16292$	Character $\chi_{1089}(185, \cdot)$
1-33e2-1089.191-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.191	$1$	✓	✓	$-0.336$	$0$	$0.796281$	Character $\chi_{1089}(191, \cdot)$
1-33e2-1089.193-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.193	$1$	✓	✓	$-0.195$	$0$	$0.812184$	Character $\chi_{1089}(193, \cdot)$
1-33e2-1089.20-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.20	$1$	✓	✓	$-0.246$	$0$	$0.667413$	Character $\chi_{1089}(20, \cdot)$
1-33e2-1089.203-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.203	$1$	✓	✓	$0.397$	$0$	$1.36118$	Character $\chi_{1089}(203, \cdot)$
1-33e2-1089.205-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.205	$1$	✓	✓	$0.402$	$0$	$1.08075$	Character $\chi_{1089}(205, \cdot)$
1-33e2-1089.211-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.211	$1$	✓	✓	$0.158$	$0$	$0.748397$	Character $\chi_{1089}(211, \cdot)$
1-33e2-1089.212-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.212	$1$	✓	✓	$0.258$	$0$	$0.0940772$	Character $\chi_{1089}(212, \cdot)$
1-33e2-1089.218-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.218	$1$	✓	✓	$0.249$	$0$	$1.02702$	Character $\chi_{1089}(218, \cdot)$
1-33e2-1089.221-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.221	$1$	✓	✓	$-0.447$	$0$	$1.31925$	Character $\chi_{1089}(221, \cdot)$
1-33e2-1089.23-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.23	$1$	✓	✓	$0.497$	$0$	$0.0623616$	Character $\chi_{1089}(23, \cdot)$
1-33e2-1089.236-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.236	$1$	✓	✓	$0.197$	$0$	$0.677734$	Character $\chi_{1089}(236, \cdot)$
1-33e2-1089.238-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.238	$1$	✓	✓	$-0.202$	$0$	$1.02313$	Character $\chi_{1089}(238, \cdot)$
1-33e2-1089.250-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.250	$1$	✓	✓	$0.249$	$0$	$1.12967$	Character $\chi_{1089}(250, \cdot)$
1-33e2-1089.254-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.254	$1$	✓	✓	$0.141$	$0$	$0.933069$	Character $\chi_{1089}(254, \cdot)$
1-33e2-1089.257-r1-0-0	$117.$	$117.$	$1$	$3^{2} \cdot 11^{2}$	1089.257	$1$	✓	✓	$-0.249$	$0$	$0.00142911$	Character $\chi_{1089}(257, \cdot)$

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