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 54 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-232-232.109-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.109	$0$	✓	✓			$0.128$	$0$	$1.84358$	Character $\chi_{232}(109, \cdot)$
1-232-232.11-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.11	$0$	✓	✓			$0.316$	$0$	$1.84857$	Character $\chi_{232}(11, \cdot)$
1-232-232.125-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.125	$0$	✓	✓			$-0.462$	$0$	$2.56076$	Character $\chi_{232}(125, \cdot)$
1-232-232.13-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.13	$0$	✓	✓			$0.462$	$0$	$0.368450$	Character $\chi_{232}(13, \cdot)$
1-232-232.131-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.131	$0$	✓	✓			$-0.234$	$0$	$1.14683$	Character $\chi_{232}(131, \cdot)$
1-232-232.141-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.141	$0$	✓	✓			$0.000617$	$0$	$1.09202$	Character $\chi_{232}(141, \cdot)$
1-232-232.147-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.147	$0$	✓	✓			$0.234$	$0$	$1.87782$	Character $\chi_{232}(147, \cdot)$
1-232-232.149-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.149	$0$	✓	✓			$-0.128$	$0$	$1.42523$	Character $\chi_{232}(149, \cdot)$
1-232-232.155-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.155	$0$	✓	✓			$0.341$	$0$	$2.14169$	Character $\chi_{232}(155, \cdot)$
1-232-232.163-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.163	$0$	✓	✓			$0.0631$	$0$	$1.88833$	Character $\chi_{232}(163, \cdot)$
1-232-232.165-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.165	$0$	✓	✓			$-0.0152$	$0$	$1.31048$	Character $\chi_{232}(165, \cdot)$
1-232-232.171-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.171	$0$	✓	✓			$0.0211$	$0$	$0.838309$	Character $\chi_{232}(171, \cdot)$
1-232-232.173-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.173	$0$	✓	✓	✓	✓	$0$	$0$	$1.45294$	Character $\chi_{232}(173, \cdot)$
1-232-232.181-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.181	$0$	✓	✓			$0.000617$	$0$	$1.58738$	Character $\chi_{232}(181, \cdot)$
1-232-232.19-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.19	$0$	✓	✓			$-0.0211$	$0$	$0.994875$	Character $\chi_{232}(19, \cdot)$
1-232-232.195-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.195	$0$	✓	✓			$-0.0631$	$0$	$1.45954$	Character $\chi_{232}(195, \cdot)$
1-232-232.197-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.197	$0$	✓	✓			$0.236$	$0$	$2.11461$	Character $\chi_{232}(197, \cdot)$
1-232-232.211-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.211	$0$	✓	✓			$-0.316$	$0$	$0.662303$	Character $\chi_{232}(211, \cdot)$
1-232-232.27-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.27	$0$	✓	✓			$0.0653$	$0$	$1.45572$	Character $\chi_{232}(27, \cdot)$
1-232-232.3-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.3	$0$	✓	✓			$-0.341$	$0$	$0.568985$	Character $\chi_{232}(3, \cdot)$
1-232-232.43-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.43	$0$	✓	✓			$-0.0653$	$0$	$0.877358$	Character $\chi_{232}(43, \cdot)$
1-232-232.45-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.45	$0$	✓	✓			$0.0152$	$0$	$1.09843$	Character $\chi_{232}(45, \cdot)$
1-232-232.5-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.5	$0$	✓	✓			$-0.334$	$0$	$0.322456$	Character $\chi_{232}(5, \cdot)$
1-232-232.53-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.53	$0$	✓	✓			$-0.236$	$0$	$0.973796$	Character $\chi_{232}(53, \cdot)$
1-232-232.75-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.75	$0$	✓	✓			$-0.280$	$0$	$0.871407$	Character $\chi_{232}(75, \cdot)$
1-232-232.93-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.93	$0$	✓	✓			$0.334$	$0$	$1.73213$	Character $\chi_{232}(93, \cdot)$
1-232-232.99-r0-0-0	$1.07$	$1.07$	$1$	$2^{3} \cdot 29$	232.99	$0$	✓	✓			$0.280$	$0$	$1.90462$	Character $\chi_{232}(99, \cdot)$
1-232-232.101-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.101	$1$	✓	✓			$0.434$	$0$	$0.353229$	Character $\chi_{232}(101, \cdot)$
1-232-232.107-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.107	$1$	✓	✓			$-0.0152$	$0$	$0.528696$	Character $\chi_{232}(107, \cdot)$
1-232-232.115-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.115	$1$	✓	✓	✓	✓	$0$	$0$	$0.310676$	Character $\chi_{232}(115, \cdot)$
1-232-232.123-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.123	$1$	✓	✓			$0.000617$	$0$	$0.989305$	Character $\chi_{232}(123, \cdot)$
1-232-232.133-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.133	$1$	✓	✓			$0.219$	$0$	$1.42476$	Character $\chi_{232}(133, \cdot)$
1-232-232.139-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.139	$1$	✓	✓			$0.236$	$0$	$1.32715$	Character $\chi_{232}(139, \cdot)$
1-232-232.157-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.157	$1$	✓	✓			$-0.219$	$0$	$0.980713$	Character $\chi_{232}(157, \cdot)$
1-232-232.179-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.179	$1$	✓	✓			$-0.334$	$0$	$0.746972$	Character $\chi_{232}(179, \cdot)$
1-232-232.187-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.187	$1$	✓	✓			$0.462$	$0$	$1.71530$	Character $\chi_{232}(187, \cdot)$
1-232-232.189-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.189	$1$	✓	✓			$0.265$	$0$	$0.956004$	Character $\chi_{232}(189, \cdot)$
1-232-232.205-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.205	$1$	✓	✓			$-0.265$	$0$	$0.297139$	Character $\chi_{232}(205, \cdot)$
1-232-232.21-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.21	$1$	✓	✓			$0.436$	$0$	$0.0126462$	Character $\chi_{232}(21, \cdot)$
1-232-232.213-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.213	$1$	✓	✓			$-0.158$	$0$	$0.718377$	Character $\chi_{232}(213, \cdot)$
1-232-232.219-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.219	$1$	✓	✓			$0.0152$	$0$	$0.976556$	Character $\chi_{232}(219, \cdot)$
1-232-232.221-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.221	$1$	✓	✓			$-0.436$	$0$	$1.67648$	Character $\chi_{232}(221, \cdot)$
1-232-232.227-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.227	$1$	✓	✓			$-0.236$	$0$	$0.561852$	Character $\chi_{232}(227, \cdot)$
1-232-232.229-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.229	$1$	✓	✓			$-0.478$	$0$	$0.113005$	Character $\chi_{232}(229, \cdot)$
1-232-232.35-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.35	$1$	✓	✓			$0.334$	$0$	$2.07592$	Character $\chi_{232}(35, \cdot)$
1-232-232.37-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.37	$1$	✓	✓			$0.183$	$0$	$1.68932$	Character $\chi_{232}(37, \cdot)$
1-232-232.51-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.51	$1$	✓	✓			$0.128$	$0$	$1.24195$	Character $\chi_{232}(51, \cdot)$
1-232-232.61-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.61	$1$	✓	✓			$0.158$	$0$	$0.849264$	Character $\chi_{232}(61, \cdot)$
1-232-232.67-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.67	$1$	✓	✓			$-0.462$	$0$	$0.338238$	Character $\chi_{232}(67, \cdot)$
1-232-232.69-r1-0-0	$24.9$	$24.9$	$1$	$2^{3} \cdot 29$	232.69	$1$	✓	✓			$-0.183$	$0$	$0.810586$	Character $\chi_{232}(69, \cdot)$

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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.