LMFDB - L-function search results

Refine search

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

		Sort order	Select

Results (1-50 of 72 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-648-648.11-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.11	$0$	✓	✓	$0.237$	$0$	$1.59412$	Character $\chi_{648}(11, \cdot)$
1-648-648.13-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.13	$0$	✓	✓	$-0.209$	$0$	$0.596767$	Character $\chi_{648}(13, \cdot)$
1-648-648.131-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.131	$0$	✓	✓	$-0.126$	$0$	$0.486377$	Character $\chi_{648}(131, \cdot)$
1-648-648.133-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.133	$0$	✓	✓	$-0.123$	$0$	$1.10646$	Character $\chi_{648}(133, \cdot)$
1-648-648.155-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.155	$0$	✓	✓	$0.126$	$0$	$1.35263$	Character $\chi_{648}(155, \cdot)$
1-648-648.157-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.157	$0$	✓	✓	$-0.320$	$0$	$0.632249$	Character $\chi_{648}(157, \cdot)$
1-648-648.203-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.203	$0$	✓	✓	$0.206$	$0$	$1.56691$	Character $\chi_{648}(203, \cdot)$
1-648-648.205-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.205	$0$	✓	✓	$-0.345$	$0$	$0.473768$	Character $\chi_{648}(205, \cdot)$
1-648-648.227-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.227	$0$	✓	✓	$-0.429$	$0$	$0.351491$	Character $\chi_{648}(227, \cdot)$
1-648-648.229-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.229	$0$	✓	✓	$0.123$	$0$	$1.34177$	Character $\chi_{648}(229, \cdot)$
1-648-648.275-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.275	$0$	✓	✓	$0.0956$	$0$	$1.25634$	Character $\chi_{648}(275, \cdot)$
1-648-648.277-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.277	$0$	✓	✓	$-0.123$	$0$	$0.890262$	Character $\chi_{648}(277, \cdot)$
1-648-648.299-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.299	$0$	✓	✓	$0.459$	$0$	$1.65621$	Character $\chi_{648}(299, \cdot)$
1-648-648.301-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.301	$0$	✓	✓	$0.123$	$0$	$1.16875$	Character $\chi_{648}(301, \cdot)$
1-648-648.347-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.347	$0$	✓	✓	$-0.126$	$0$	$0.743573$	Character $\chi_{648}(347, \cdot)$
1-648-648.349-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.349	$0$	✓	✓	$0.209$	$0$	$1.37885$	Character $\chi_{648}(349, \cdot)$
1-648-648.371-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.371	$0$	✓	✓	$0.126$	$0$	$0.894985$	Character $\chi_{648}(371, \cdot)$
1-648-648.373-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.373	$0$	✓	✓	$0.345$	$0$	$1.72130$	Character $\chi_{648}(373, \cdot)$
1-648-648.419-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.419	$0$	✓	✓	$-0.126$	$0$	$0.836565$	Character $\chi_{648}(419, \cdot)$
1-648-648.421-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.421	$0$	✓	✓	$0.320$	$0$	$1.74170$	Character $\chi_{648}(421, \cdot)$
1-648-648.443-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.443	$0$	✓	✓	$-0.0956$	$0$	$0.748834$	Character $\chi_{648}(443, \cdot)$
1-648-648.445-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.445	$0$	✓	✓	$0.456$	$0$	$0.122266$	Character $\chi_{648}(445, \cdot)$
1-648-648.491-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.491	$0$	✓	✓	$0.429$	$0$	$1.71890$	Character $\chi_{648}(491, \cdot)$
1-648-648.493-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.493	$0$	✓	✓	$-0.123$	$0$	$0.642139$	Character $\chi_{648}(493, \cdot)$
1-648-648.515-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.515	$0$	✓	✓	$0.126$	$0$	$1.09531$	Character $\chi_{648}(515, \cdot)$
1-648-648.517-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.517	$0$	✓	✓	$0.123$	$0$	$1.53081$	Character $\chi_{648}(517, \cdot)$
1-648-648.563-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.563	$0$	✓	✓	$-0.126$	$0$	$1.00479$	Character $\chi_{648}(563, \cdot)$
1-648-648.565-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.565	$0$	✓	✓	$-0.456$	$0$	$1.90169$	Character $\chi_{648}(565, \cdot)$
1-648-648.587-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.587	$0$	✓	✓	$0.126$	$0$	$1.49349$	Character $\chi_{648}(587, \cdot)$
1-648-648.589-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.589	$0$	✓	✓	$0.0123$	$0$	$0.876534$	Character $\chi_{648}(589, \cdot)$
1-648-648.59-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.59	$0$	✓	✓	$-0.237$	$0$	$0.689139$	Character $\chi_{648}(59, \cdot)$
1-648-648.61-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.61	$0$	✓	✓	$-0.123$	$0$	$0.700860$	Character $\chi_{648}(61, \cdot)$
1-648-648.635-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.635	$0$	✓	✓	$-0.459$	$0$	$0.0520512$	Character $\chi_{648}(635, \cdot)$
1-648-648.637-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.637	$0$	✓	✓	$-0.0123$	$0$	$0.927890$	Character $\chi_{648}(637, \cdot)$
1-648-648.83-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.83	$0$	✓	✓	$-0.206$	$0$	$0.790258$	Character $\chi_{648}(83, \cdot)$
1-648-648.85-r0-0-0	$3.00$	$3.00$	$1$	$2^{3} \cdot 3^{4}$	648.85	$0$	✓	✓	$0.123$	$0$	$1.03033$	Character $\chi_{648}(85, \cdot)$
1-648-648.101-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.101	$1$	✓	✓	$-0.373$	$0$	$1.78251$	Character $\chi_{648}(101, \cdot)$
1-648-648.115-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.115	$1$	✓	✓	$-0.123$	$0$	$0.584904$	Character $\chi_{648}(115, \cdot)$
1-648-648.139-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.139	$1$	✓	✓	$0.123$	$0$	$1.02267$	Character $\chi_{648}(139, \cdot)$
1-648-648.149-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.149	$1$	✓	✓	$0.0401$	$0$	$0.519149$	Character $\chi_{648}(149, \cdot)$
1-648-648.173-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.173	$1$	✓	✓	$-0.262$	$0$	$0.481545$	Character $\chi_{648}(173, \cdot)$
1-648-648.187-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.187	$1$	✓	✓	$0.209$	$0$	$1.31871$	Character $\chi_{648}(187, \cdot)$
1-648-648.211-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.211	$1$	✓	✓	$0.345$	$0$	$1.41384$	Character $\chi_{648}(211, \cdot)$
1-648-648.221-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.221	$1$	✓	✓	$0.262$	$0$	$1.31673$	Character $\chi_{648}(221, \cdot)$
1-648-648.245-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.245	$1$	✓	✓	$0.293$	$0$	$1.16908$	Character $\chi_{648}(245, \cdot)$
1-648-648.259-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.259	$1$	✓	✓	$0.320$	$0$	$1.20553$	Character $\chi_{648}(259, \cdot)$
1-648-648.283-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.283	$1$	✓	✓	$0.456$	$0$	$1.34472$	Character $\chi_{648}(283, \cdot)$
1-648-648.29-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.29	$1$	✓	✓	$-0.373$	$0$	$0.0544958$	Character $\chi_{648}(29, \cdot)$
1-648-648.293-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.293	$1$	✓	✓	$0.373$	$0$	$1.05612$	Character $\chi_{648}(293, \cdot)$
1-648-648.317-r1-0-0	$69.6$	$69.6$	$1$	$2^{3} \cdot 3^{4}$	648.317	$1$	✓	✓	$-0.373$	$0$	$0.609530$	Character $\chi_{648}(317, \cdot)$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 72 matches)

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