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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 137 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-417-417.101-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.101	$0$	✓	✓	$0.0906$	$0$	$0.972314$	Character $\chi_{417}(101, \cdot)$
1-417-417.104-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.104	$0$	✓	✓	$0.189$	$0$	$2.10227$	Character $\chi_{417}(104, \cdot)$
1-417-417.110-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.110	$0$	✓	✓	$0.00210$	$0$	$1.45722$	Character $\chi_{417}(110, \cdot)$
1-417-417.119-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.119	$0$	✓	✓	$-0.0757$	$0$	$1.02231$	Character $\chi_{417}(119, \cdot)$
1-417-417.128-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.128	$0$	✓	✓	$-0.0906$	$0$	$0.929244$	Character $\chi_{417}(128, \cdot)$
1-417-417.134-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.134	$0$	✓	✓	$-0.0718$	$0$	$1.13803$	Character $\chi_{417}(134, \cdot)$
1-417-417.14-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.14	$0$	✓	✓	$0.426$	$0$	$0.133666$	Character $\chi_{417}(14, \cdot)$
1-417-417.149-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.149	$0$	✓	✓	$-0.426$	$0$	$2.15367$	Character $\chi_{417}(149, \cdot)$
1-417-417.158-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.158	$0$	✓	✓	$-0.0787$	$0$	$1.32820$	Character $\chi_{417}(158, \cdot)$
1-417-417.161-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.161	$0$	✓	✓	$0.0787$	$0$	$1.31655$	Character $\chi_{417}(161, \cdot)$
1-417-417.17-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.17	$0$	✓	✓	$-0.413$	$0$	$1.83356$	Character $\chi_{417}(17, \cdot)$
1-417-417.179-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.179	$0$	✓	✓	$0.390$	$0$	$2.05885$	Character $\chi_{417}(179, \cdot)$
1-417-417.182-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.182	$0$	✓	✓	$0.0235$	$0$	$0.745352$	Character $\chi_{417}(182, \cdot)$
1-417-417.197-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.197	$0$	✓	✓	$0.195$	$0$	$1.07619$	Character $\chi_{417}(197, \cdot)$
1-417-417.2-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.2	$0$	✓	✓	$0.355$	$0$	$1.79235$	Character $\chi_{417}(2, \cdot)$
1-417-417.200-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.200	$0$	✓	✓	$-0.109$	$0$	$0.980851$	Character $\chi_{417}(200, \cdot)$
1-417-417.209-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.209	$0$	✓	✓	$-0.355$	$0$	$0.480188$	Character $\chi_{417}(209, \cdot)$
1-417-417.212-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.212	$0$	✓	✓	$-0.390$	$0$	$0.789134$	Character $\chi_{417}(212, \cdot)$
1-417-417.215-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.215	$0$	✓	✓	$-0.206$	$0$	$1.25338$	Character $\chi_{417}(215, \cdot)$
1-417-417.221-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.221	$0$	✓	✓	$-0.162$	$0$	$1.20852$	Character $\chi_{417}(221, \cdot)$
1-417-417.224-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.224	$0$	✓	✓	$-0.347$	$0$	$1.04450$	Character $\chi_{417}(224, \cdot)$
1-417-417.227-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.227	$0$	✓	✓	$-0.0623$	$0$	$0.981391$	Character $\chi_{417}(227, \cdot)$
1-417-417.23-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.23	$0$	✓	✓	$-0.433$	$0$	$0.320321$	Character $\chi_{417}(23, \cdot)$
1-417-417.233-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.233	$0$	✓	✓	$0.249$	$0$	$1.29940$	Character $\chi_{417}(233, \cdot)$
1-417-417.236-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.236	$0$	✓	✓	$-0.0235$	$0$	$1.25032$	Character $\chi_{417}(236, \cdot)$
1-417-417.242-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.242	$0$	✓	✓	$-0.328$	$0$	$0.631034$	Character $\chi_{417}(242, \cdot)$
1-417-417.248-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.248	$0$	✓	✓	$0.0623$	$0$	$1.64572$	Character $\chi_{417}(248, \cdot)$
1-417-417.254-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.254	$0$	✓	✓	$0.00210$	$0$	$0.947797$	Character $\chi_{417}(254, \cdot)$
1-417-417.26-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.26	$0$	✓	✓	$-0.0532$	$0$	$1.47583$	Character $\chi_{417}(26, \cdot)$
1-417-417.269-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.269	$0$	✓	✓	$0.438$	$0$	$0.265977$	Character $\chi_{417}(269, \cdot)$
1-417-417.272-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.272	$0$	✓	✓	$0.433$	$0$	$1.36898$	Character $\chi_{417}(272, \cdot)$
1-417-417.281-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.281	$0$	✓	✓	$-0.191$	$0$	$1.39192$	Character $\chi_{417}(281, \cdot)$
1-417-417.290-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.290	$0$	✓	✓	$-0.195$	$0$	$0.919696$	Character $\chi_{417}(290, \cdot)$
1-417-417.293-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.293	$0$	✓	✓	$-0.0329$	$0$	$0.876096$	Character $\chi_{417}(293, \cdot)$
1-417-417.296-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.296	$0$	✓	✓	$0.347$	$0$	$2.19175$	Character $\chi_{417}(296, \cdot)$
1-417-417.299-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.299	$0$	✓	✓	$0.394$	$0$	$1.88165$	Character $\chi_{417}(299, \cdot)$
1-417-417.305-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.305	$0$	✓	✓	$0.328$	$0$	$1.42177$	Character $\chi_{417}(305, \cdot)$
1-417-417.311-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.311	$0$	✓	✓	$-0.384$	$0$	$1.73460$	Character $\chi_{417}(311, \cdot)$
1-417-417.317-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.317	$0$	✓	✓	$0.162$	$0$	$1.17909$	Character $\chi_{417}(317, \cdot)$
1-417-417.32-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.32	$0$	✓	✓	$0.0959$	$0$	$1.14458$	Character $\chi_{417}(32, \cdot)$
1-417-417.326-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.326	$0$	✓	✓	$0.0488$	$0$	$1.34937$	Character $\chi_{417}(326, \cdot)$
1-417-417.338-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.338	$0$	✓	✓	$-0.282$	$0$	$0.558129$	Character $\chi_{417}(338, \cdot)$
1-417-417.350-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.350	$0$	✓	✓	$-0.486$	$0$	$2.11319$	Character $\chi_{417}(350, \cdot)$
1-417-417.353-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.353	$0$	✓	✓	$0.206$	$0$	$1.89618$	Character $\chi_{417}(353, \cdot)$
1-417-417.362-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.362	$0$	✓	✓	$-0.0488$	$0$	$0.497019$	Character $\chi_{417}(362, \cdot)$
1-417-417.365-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.365	$0$	✓	✓	$-0.302$	$0$	$0.557816$	Character $\chi_{417}(365, \cdot)$
1-417-417.368-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.368	$0$	✓	✓	$0.413$	$0$	$0.219868$	Character $\chi_{417}(368, \cdot)$
1-417-417.371-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.371	$0$	✓	✓	$0.191$	$0$	$1.31384$	Character $\chi_{417}(371, \cdot)$
1-417-417.380-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.380	$0$	✓	✓	$0.0329$	$0$	$1.08138$	Character $\chi_{417}(380, \cdot)$
1-417-417.383-r0-0-0	$1.93$	$1.93$	$1$	$3 \cdot 139$	417.383	$0$	✓	✓	$-0.249$	$0$	$1.20206$	Character $\chi_{417}(383, \cdot)$

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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.