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 202 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-927-927.106-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.106	$1$	✓	✓	$0.417$	$0$	$0.00736291$	Character $\chi_{927}(106, \cdot)$
1-927-927.110-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.110	$1$	✓	✓	$0.419$	$0$	$0.378295$	Character $\chi_{927}(110, \cdot)$
1-927-927.115-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.115	$1$	✓	✓	$0.103$	$0$	$0.555518$	Character $\chi_{927}(115, \cdot)$
1-927-927.119-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.119	$1$	✓	✓	$-0.0402$	$0$	$0.270636$	Character $\chi_{927}(119, \cdot)$
1-927-927.122-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.122	$1$	✓	✓	$0.470$	$0$	$1.02402$	Character $\chi_{927}(122, \cdot)$
1-927-927.124-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.124	$1$	✓	✓	$0.209$	$0$	$0.459767$	Character $\chi_{927}(124, \cdot)$
1-927-927.128-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.128	$1$	✓	✓	$-0.282$	$0$	$0.510795$	Character $\chi_{927}(128, \cdot)$
1-927-927.130-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.130	$1$	✓	✓	$-0.303$	$0$	$0.713164$	Character $\chi_{927}(130, \cdot)$
1-927-927.131-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.131	$1$	✓	✓	$-0.199$	$0$	$0.560377$	Character $\chi_{927}(131, \cdot)$
1-927-927.137-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.137	$1$	✓	✓	$0.0283$	$0$	$0.582793$	Character $\chi_{927}(137, \cdot)$
1-927-927.14-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.14	$1$	✓	✓	$-0.0314$	$0$	$0.281433$	Character $\chi_{927}(14, \cdot)$
1-927-927.142-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.142	$1$	✓	✓	$0.271$	$0$	$1.03803$	Character $\chi_{927}(142, \cdot)$
1-927-927.148-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.148	$1$	✓	✓	$0.483$	$0$	$0.829191$	Character $\chi_{927}(148, \cdot)$
1-927-927.149-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.149	$1$	✓	✓	$0.481$	$0$	$1.23513$	Character $\chi_{927}(149, \cdot)$
1-927-927.151-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.151	$1$	✓	✓	$0.0435$	$0$	$0.464619$	Character $\chi_{927}(151, \cdot)$
1-927-927.155-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.155	$1$	✓	✓	$-0.0146$	$0$	$0.254590$	Character $\chi_{927}(155, \cdot)$
1-927-927.157-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.157	$1$	✓	✓	$-0.209$	$0$	$0.362315$	Character $\chi_{927}(157, \cdot)$
1-927-927.158-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.158	$1$	✓	✓	$0.273$	$0$	$0.0638821$	Character $\chi_{927}(158, \cdot)$
1-927-927.160-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.160	$1$	✓	✓	$-0.351$	$0$	$0.136076$	Character $\chi_{927}(160, \cdot)$
1-927-927.164-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.164	$1$	✓	✓	$0.361$	$0$	$1.39122$	Character $\chi_{927}(164, \cdot)$
1-927-927.167-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.167	$1$	✓	✓	$0.153$	$0$	$0.0893765$	Character $\chi_{927}(167, \cdot)$
1-927-927.178-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.178	$1$	✓	✓	$-0.491$	$0$	$1.29883$	Character $\chi_{927}(178, \cdot)$
1-927-927.182-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.182	$1$	✓	✓	$-0.0876$	$0$	$1.08602$	Character $\chi_{927}(182, \cdot)$
1-927-927.185-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.185	$1$	✓	✓	$0.245$	$0$	$1.21964$	Character $\chi_{927}(185, \cdot)$
1-927-927.187-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.187	$1$	✓	✓	$-0.227$	$0$	$0.330227$	Character $\chi_{927}(187, \cdot)$
1-927-927.193-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.193	$1$	✓	✓	$0.00535$	$0$	$0.589893$	Character $\chi_{927}(193, \cdot)$
1-927-927.194-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.194	$1$	✓	✓	$0.409$	$0$	$1.32184$	Character $\chi_{927}(194, \cdot)$
1-927-927.2-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.2	$1$	✓	✓	$-0.0409$	$0$	$2.47997$	Character $\chi_{927}(2, \cdot)$
1-927-927.200-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.200	$1$	✓	✓	$0.0843$	$0$	$1.33988$	Character $\chi_{927}(200, \cdot)$
1-927-927.202-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.202	$1$	✓	✓	$0.287$	$0$	$0.862386$	Character $\chi_{927}(202, \cdot)$
1-927-927.203-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.203	$1$	✓	✓	$-0.0283$	$0$	$0.891824$	Character $\chi_{927}(203, \cdot)$
1-927-927.205-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.205	$1$	✓	✓	$0.222$	$0$	$1.16730$	Character $\chi_{927}(205, \cdot)$
1-927-927.211-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.211	$1$	✓	✓	$0.491$	$0$	$0.313857$	Character $\chi_{927}(211, \cdot)$
1-927-927.22-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.22	$1$	✓	✓	$0.446$	$0$	$0.109919$	Character $\chi_{927}(22, \cdot)$
1-927-927.221-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.221	$1$	✓	✓	$-0.217$	$0$	$0.341294$	Character $\chi_{927}(221, \cdot)$
1-927-927.23-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.23	$1$	✓	✓	$0.242$	$0$	$0.540293$	Character $\chi_{927}(23, \cdot)$
1-927-927.236-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.236	$1$	✓	✓	$0.0321$	$0$	$0.624928$	Character $\chi_{927}(236, \cdot)$
1-927-927.239-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.239	$1$	✓	✓	$0.282$	$0$	$1.54590$	Character $\chi_{927}(239, \cdot)$
1-927-927.241-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.241	$1$	✓	✓	$0.261$	$0$	$0.111119$	Character $\chi_{927}(241, \cdot)$
1-927-927.250-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.250	$1$	✓	✓	$0.338$	$0$	$0.154315$	Character $\chi_{927}(250, \cdot)$
1-927-927.259-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.259	$1$	✓	✓	$0.182$	$0$	$0.559622$	Character $\chi_{927}(259, \cdot)$
1-927-927.266-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.266	$1$	✓	✓	$-0.353$	$0$	$1.88255$	Character $\chi_{927}(266, \cdot)$
1-927-927.268-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.268	$1$	✓	✓	$-0.491$	$0$	$0.896209$	Character $\chi_{927}(268, \cdot)$
1-927-927.272-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.272	$1$	✓	✓	$-0.153$	$0$	$1.64025$	Character $\chi_{927}(272, \cdot)$
1-927-927.277-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.277	$1$	✓	✓	$-0.165$	$0$	$0.534395$	Character $\chi_{927}(277, \cdot)$
1-927-927.283-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.283	$1$	✓	✓	$0.268$	$0$	$0.770187$	Character $\chi_{927}(283, \cdot)$
1-927-927.286-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.286	$1$	✓	✓	$0.242$	$0$	$1.26233$	Character $\chi_{927}(286, \cdot)$
1-927-927.29-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.29	$1$	✓	✓	$0.275$	$0$	$0.750019$	Character $\chi_{927}(29, \cdot)$
1-927-927.292-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.292	$1$	✓	✓	$-0.0108$	$0$	$1.01645$	Character $\chi_{927}(292, \cdot)$
1-927-927.295-r1-0-0	$99.6$	$99.6$	$1$	$3^{2} \cdot 103$	927.295	$1$	✓	✓	$-0.446$	$0$	$0.976244$	Character $\chi_{927}(295, \cdot)$

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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.