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 90 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-693-693.101-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.101	$1$	✓	✓	$0.00556$	$0$	$0.893725$	Character $\chi_{693}(101, \cdot)$
1-693-693.103-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.103	$1$	✓	✓	$0.294$	$0$	$0.666691$	Character $\chi_{693}(103, \cdot)$
1-693-693.115-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.115	$1$	✓	✓	$-0.248$	$0$	$0.375952$	Character $\chi_{693}(115, \cdot)$
1-693-693.124-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.124	$1$	✓	✓	$0.331$	$0$	$0.989704$	Character $\chi_{693}(124, \cdot)$
1-693-693.131-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.131	$1$	✓	✓	$-0.159$	$0$	$0.530066$	Character $\chi_{693}(131, \cdot)$
1-693-693.137-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.137	$1$	✓	✓	$0.388$	$0$	$0.354331$	Character $\chi_{693}(137, \cdot)$
1-693-693.142-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.142	$1$	✓	✓	$-0.351$	$0$	$0.711468$	Character $\chi_{693}(142, \cdot)$
1-693-693.151-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.151	$1$	✓	✓	$-0.443$	$0$	$1.15957$	Character $\chi_{693}(151, \cdot)$
1-693-693.157-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.157	$1$	✓	✓	$0.260$	$0$	$0.984372$	Character $\chi_{693}(157, \cdot)$
1-693-693.158-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.158	$1$	✓	✓	$-0.195$	$0$	$0.179029$	Character $\chi_{693}(158, \cdot)$
1-693-693.164-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.164	$1$	✓	✓	$0.159$	$0$	$1.23411$	Character $\chi_{693}(164, \cdot)$
1-693-693.167-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.167	$1$	✓	✓	$-0.125$	$0$	$0.975117$	Character $\chi_{693}(167, \cdot)$
1-693-693.173-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.173	$1$	✓	✓	$-0.453$	$0$	$1.60656$	Character $\chi_{693}(173, \cdot)$
1-693-693.184-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.184	$1$	✓	✓	$-0.0344$	$0$	$0.364981$	Character $\chi_{693}(184, \cdot)$
1-693-693.191-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.191	$1$	✓	✓	$-0.397$	$0$	$1.99334$	Character $\chi_{693}(191, \cdot)$
1-693-693.193-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.193	$1$	✓	✓	$0.495$	$0$	$0.232435$	Character $\chi_{693}(193, \cdot)$
1-693-693.194-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.194	$1$	✓	✓	$0.0798$	$0$	$0.510792$	Character $\chi_{693}(194, \cdot)$
1-693-693.202-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.202	$1$	✓	✓	$0.481$	$0$	$1.48404$	Character $\chi_{693}(202, \cdot)$
1-693-693.205-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.205	$1$	✓	✓	$-0.112$	$0$	$0.799557$	Character $\chi_{693}(205, \cdot)$
1-693-693.212-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.212	$1$	✓	✓	$0.249$	$0$	$0.882887$	Character $\chi_{693}(212, \cdot)$
1-693-693.223-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.223	$1$	✓	✓	$-0.481$	$0$	$0.0183971$	Character $\chi_{693}(223, \cdot)$
1-693-693.227-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.227	$1$	✓	✓	$0.397$	$0$	$0.804651$	Character $\chi_{693}(227, \cdot)$
1-693-693.229-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.229	$1$	✓	✓	$0.248$	$0$	$1.05151$	Character $\chi_{693}(229, \cdot)$
1-693-693.230-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.230	$1$	✓	✓	$0.0277$	$0$	$0.537180$	Character $\chi_{693}(230, \cdot)$
1-693-693.248-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.248	$1$	✓	✓	$0.368$	$0$	$1.27646$	Character $\chi_{693}(248, \cdot)$
1-693-693.272-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.272	$1$	✓	✓	$-0.266$	$0$	$0.220278$	Character $\chi_{693}(272, \cdot)$
1-693-693.277-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.277	$1$	✓	✓	$-0.358$	$0$	$2.05900$	Character $\chi_{693}(277, \cdot)$
1-693-693.284-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.284	$1$	✓	✓	$-0.241$	$0$	$0.719490$	Character $\chi_{693}(284, \cdot)$
1-693-693.293-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.293	$1$	✓	✓	$0.266$	$0$	$0.832263$	Character $\chi_{693}(293, \cdot)$
1-693-693.299-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.299	$1$	✓	✓	$-0.368$	$0$	$0.364051$	Character $\chi_{693}(299, \cdot)$
1-693-693.31-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.31	$1$	✓	✓	$-0.378$	$0$	$0.0818110$	Character $\chi_{693}(31, \cdot)$
1-693-693.310-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.310	$1$	✓	✓	$0.0510$	$0$	$0.752231$	Character $\chi_{693}(310, \cdot)$
1-693-693.313-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.313	$1$	✓	✓	$0.378$	$0$	$1.62435$	Character $\chi_{693}(313, \cdot)$
1-693-693.317-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.317	$1$	✓	✓	$-0.443$	$0$	$0.0728171$	Character $\chi_{693}(317, \cdot)$
1-693-693.328-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.328	$1$	✓	✓	$0.435$	$0$	$0.249961$	Character $\chi_{693}(328, \cdot)$
1-693-693.340-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.340	$1$	✓	✓	$-0.204$	$0$	$0.553317$	Character $\chi_{693}(340, \cdot)$
1-693-693.346-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.346	$1$	✓	✓	$0.307$	$0$	$1.39787$	Character $\chi_{693}(346, \cdot)$
1-693-693.355-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.355	$1$	✓	✓	$-0.112$	$0$	$0.993368$	Character $\chi_{693}(355, \cdot)$
1-693-693.362-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.362	$1$	✓	✓	$-0.214$	$0$	$0.229151$	Character $\chi_{693}(362, \cdot)$
1-693-693.367-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.367	$1$	✓	✓	$0.112$	$0$	$0.708854$	Character $\chi_{693}(367, \cdot)$
1-693-693.373-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.373	$1$	✓	✓	$0.204$	$0$	$0.829290$	Character $\chi_{693}(373, \cdot)$
1-693-693.382-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.382	$1$	✓	✓	$0.112$	$0$	$1.28720$	Character $\chi_{693}(382, \cdot)$
1-693-693.389-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.389	$1$	✓	✓	$-0.249$	$0$	$0.667843$	Character $\chi_{693}(389, \cdot)$
1-693-693.398-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.398	$1$	✓	✓	$-0.181$	$0$	$0.434380$	Character $\chi_{693}(398, \cdot)$
1-693-693.401-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.401	$1$	✓	✓	$0.297$	$0$	$1.27839$	Character $\chi_{693}(401, \cdot)$
1-693-693.403-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.403	$1$	✓	✓	$0.0344$	$0$	$0.760950$	Character $\chi_{693}(403, \cdot)$
1-693-693.41-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.41	$1$	✓	✓	$-0.211$	$0$	$0.217411$	Character $\chi_{693}(41, \cdot)$
1-693-693.410-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.410	$1$	✓	✓	$0.397$	$0$	$0.0840051$	Character $\chi_{693}(410, \cdot)$
1-693-693.412-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.412	$1$	✓	✓	$-0.435$	$0$	$1.69750$	Character $\chi_{693}(412, \cdot)$
1-693-693.425-r1-0-0	$74.4$	$74.4$	$1$	$3^{2} \cdot 7 \cdot 11$	693.425	$1$	✓	✓	$0.0243$	$0$	$0.715328$	Character $\chi_{693}(425, \cdot)$

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 90 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.