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

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Results (1-50 of 162 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-891-891.104-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.104	$1$	✓	✓	$0.353$	$0$	$1.32298$	Character $\chi_{891}(104, \cdot)$
1-891-891.106-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.106	$1$	✓	✓	$-0.232$	$0$	$0.00312857$	Character $\chi_{891}(106, \cdot)$
1-891-891.112-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.112	$1$	✓	✓	$0.0736$	$0$	$0.960981$	Character $\chi_{891}(112, \cdot)$
1-891-891.113-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.113	$1$	✓	✓	$0.0178$	$0$	$0.953558$	Character $\chi_{891}(113, \cdot)$
1-891-891.119-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.119	$1$	✓	✓	$-0.464$	$0$	$0.0239093$	Character $\chi_{891}(119, \cdot)$
1-891-891.13-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.13	$1$	✓	✓	$-0.481$	$0$	$1.18079$	Character $\chi_{891}(13, \cdot)$
1-891-891.137-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.137	$1$	✓	✓	$0.421$	$0$	$0.140320$	Character $\chi_{891}(137, \cdot)$
1-891-891.139-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.139	$1$	✓	✓	$0.199$	$0$	$0.883852$	Character $\chi_{891}(139, \cdot)$
1-891-891.14-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.14	$1$	✓	✓	$0.0178$	$0$	$0.261022$	Character $\chi_{891}(14, \cdot)$
1-891-891.142-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.142	$1$	✓	✓	$-0.493$	$0$	$1.44227$	Character $\chi_{891}(142, \cdot)$
1-891-891.146-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.146	$1$	✓	✓	$0.307$	$0$	$0.749169$	Character $\chi_{891}(146, \cdot)$
1-891-891.151-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.151	$1$	✓	✓	$0.356$	$0$	$1.62620$	Character $\chi_{891}(151, \cdot)$
1-891-891.158-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.158	$1$	✓	✓	$0.247$	$0$	$1.27663$	Character $\chi_{891}(158, \cdot)$
1-891-891.160-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.160	$1$	✓	✓	$0.481$	$0$	$0.0296348$	Character $\chi_{891}(160, \cdot)$
1-891-891.175-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.175	$1$	✓	✓	$0.271$	$0$	$0.864408$	Character $\chi_{891}(175, \cdot)$
1-891-891.178-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.178	$1$	✓	✓	$0.308$	$0$	$0.967063$	Character $\chi_{891}(178, \cdot)$
1-891-891.184-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.184	$1$	✓	✓	$-0.433$	$0$	$1.60894$	Character $\chi_{891}(184, \cdot)$
1-891-891.185-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.185	$1$	✓	✓	$0.467$	$0$	$0.0993136$	Character $\chi_{891}(185, \cdot)$
1-891-891.191-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.191	$1$	✓	✓	$-0.0178$	$0$	$0.651478$	Character $\chi_{891}(191, \cdot)$
1-891-891.193-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.193	$1$	✓	✓	$-0.419$	$0$	$1.30630$	Character $\chi_{891}(193, \cdot)$
1-891-891.20-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.20	$1$	✓	✓	$0.313$	$0$	$1.32024$	Character $\chi_{891}(20, \cdot)$
1-891-891.203-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.203	$1$	✓	✓	$0.464$	$0$	$1.06594$	Character $\chi_{891}(203, \cdot)$
1-891-891.205-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.205	$1$	✓	✓	$-0.232$	$0$	$2.03729$	Character $\chi_{891}(205, \cdot)$
1-891-891.211-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.211	$1$	✓	✓	$-0.481$	$0$	$0.188443$	Character $\chi_{891}(211, \cdot)$
1-891-891.212-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.212	$1$	✓	✓	$-0.426$	$0$	$0.151972$	Character $\chi_{891}(212, \cdot)$
1-891-891.218-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.218	$1$	✓	✓	$-0.464$	$0$	$0.330660$	Character $\chi_{891}(218, \cdot)$
1-891-891.236-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.236	$1$	✓	✓	$-0.467$	$0$	$1.07583$	Character $\chi_{891}(236, \cdot)$
1-891-891.238-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.238	$1$	✓	✓	$-0.0227$	$0$	$0.842751$	Character $\chi_{891}(238, \cdot)$
1-891-891.241-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.241	$1$	✓	✓	$-0.271$	$0$	$0.563454$	Character $\chi_{891}(241, \cdot)$
1-891-891.245-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.245	$1$	✓	✓	$-0.0253$	$0$	$1.09121$	Character $\chi_{891}(245, \cdot)$
1-891-891.250-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.250	$1$	✓	✓	$-0.199$	$0$	$0.648979$	Character $\chi_{891}(250, \cdot)$
1-891-891.257-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.257	$1$	✓	✓	$0.0253$	$0$	$0.616686$	Character $\chi_{891}(257, \cdot)$
1-891-891.259-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.259	$1$	✓	✓	$-0.184$	$0$	$0.407376$	Character $\chi_{891}(259, \cdot)$
1-891-891.274-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.274	$1$	✓	✓	$-0.172$	$0$	$0.463018$	Character $\chi_{891}(274, \cdot)$
1-891-891.277-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.277	$1$	✓	✓	$0.419$	$0$	$0.369955$	Character $\chi_{891}(277, \cdot)$
1-891-891.283-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.283	$1$	✓	✓	$0.232$	$0$	$1.16743$	Character $\chi_{891}(283, \cdot)$
1-891-891.284-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.284	$1$	✓	✓	$-0.421$	$0$	$0.356040$	Character $\chi_{891}(284, \cdot)$
1-891-891.290-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.290	$1$	✓	✓	$0.426$	$0$	$0.924144$	Character $\chi_{891}(290, \cdot)$
1-891-891.292-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.292	$1$	✓	✓	$0.0251$	$0$	$0.562565$	Character $\chi_{891}(292, \cdot)$
1-891-891.302-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.302	$1$	✓	✓	$-0.202$	$0$	$0.119726$	Character $\chi_{891}(302, \cdot)$
1-891-891.304-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.304	$1$	✓	✓	$-0.454$	$0$	$0.119098$	Character $\chi_{891}(304, \cdot)$
1-891-891.310-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.310	$1$	✓	✓	$-0.481$	$0$	$0.350644$	Character $\chi_{891}(310, \cdot)$
1-891-891.311-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.311	$1$	✓	✓	$0.0178$	$0$	$0.699680$	Character $\chi_{891}(311, \cdot)$
1-891-891.317-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.317	$1$	✓	✓	$-0.353$	$0$	$0.360559$	Character $\chi_{891}(317, \cdot)$
1-891-891.335-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.335	$1$	✓	✓	$0.0877$	$0$	$0.760131$	Character $\chi_{891}(335, \cdot)$
1-891-891.337-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.337	$1$	✓	✓	$0.310$	$0$	$1.47375$	Character $\chi_{891}(337, \cdot)$
1-891-891.340-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.340	$1$	✓	✓	$0.0617$	$0$	$0.955360$	Character $\chi_{891}(340, \cdot)$
1-891-891.344-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.344	$1$	✓	✓	$-0.247$	$0$	$0.229184$	Character $\chi_{891}(344, \cdot)$
1-891-891.349-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.349	$1$	✓	✓	$-0.310$	$0$	$0.196173$	Character $\chi_{891}(349, \cdot)$
1-891-891.356-r1-0-0	$95.7$	$95.7$	$1$	$3^{4} \cdot 11$	891.356	$1$	✓	✓	$0.0253$	$0$	$0.909563$	Character $\chi_{891}(356, \cdot)$

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