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 315 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-317-317.10-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.10	$0$	✓	✓	$0.0950$	$0$	$1.23818$	Character $\chi_{317}(10, \cdot)$
1-317-317.100-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.100	$0$	✓	✓	$0.205$	$0$	$1.30823$	Character $\chi_{317}(100, \cdot)$
1-317-317.101-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.101	$0$	✓	✓	$-0.489$	$0$	$0.327323$	Character $\chi_{317}(101, \cdot)$
1-317-317.103-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.103	$0$	✓	✓	$-0.467$	$0$	$0.451069$	Character $\chi_{317}(103, \cdot)$
1-317-317.104-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.104	$0$	✓	✓	$-0.359$	$0$	$0.663653$	Character $\chi_{317}(104, \cdot)$
1-317-317.105-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.105	$0$	✓	✓	$-0.278$	$0$	$1.03547$	Character $\chi_{317}(105, \cdot)$
1-317-317.11-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.11	$0$	✓	✓	$-0.358$	$0$	$0.867202$	Character $\chi_{317}(11, \cdot)$
1-317-317.110-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.110	$0$	✓	✓	$0.0984$	$0$	$1.59655$	Character $\chi_{317}(110, \cdot)$
1-317-317.112-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.112	$0$	✓	✓	$-0.0380$	$0$	$0.436668$	Character $\chi_{317}(112, \cdot)$
1-317-317.113-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.113	$0$	✓	✓	$0.489$	$0$	$1.91591$	Character $\chi_{317}(113, \cdot)$
1-317-317.121-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.121	$0$	✓	✓	$-0.347$	$0$	$1.36016$	Character $\chi_{317}(121, \cdot)$
1-317-317.123-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.123	$0$	✓	✓	$0.206$	$0$	$0.185620$	Character $\chi_{317}(123, \cdot)$
1-317-317.124-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.124	$0$	✓	✓	$-0.193$	$0$	$1.13389$	Character $\chi_{317}(124, \cdot)$
1-317-317.131-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.131	$0$	✓	✓	$0.347$	$0$	$2.05125$	Character $\chi_{317}(131, \cdot)$
1-317-317.135-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.135	$0$	✓	✓	$0.430$	$0$	$2.48931$	Character $\chi_{317}(135, \cdot)$
1-317-317.136-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.136	$0$	✓	✓	$0.127$	$0$	$1.53296$	Character $\chi_{317}(136, \cdot)$
1-317-317.138-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.138	$0$	✓	✓	$0.00198$	$0$	$0.828876$	Character $\chi_{317}(138, \cdot)$
1-317-317.141-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.141	$0$	✓	✓	$0.289$	$0$	$1.75254$	Character $\chi_{317}(141, \cdot)$
1-317-317.142-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.142	$0$	✓	✓	$-0.231$	$0$	$0.563700$	Character $\chi_{317}(142, \cdot)$
1-317-317.144-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.144	$0$	✓	✓	$-0.188$	$0$	$0.702669$	Character $\chi_{317}(144, \cdot)$
1-317-317.145-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.145	$0$	✓	✓	$0.0205$	$0$	$1.51825$	Character $\chi_{317}(145, \cdot)$
1-317-317.148-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.148	$0$	✓	✓	$0.278$	$0$	$1.15411$	Character $\chi_{317}(148, \cdot)$
1-317-317.149-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.149	$0$	✓	✓	$-0.205$	$0$	$0.675780$	Character $\chi_{317}(149, \cdot)$
1-317-317.15-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.15	$0$	✓	✓	$-0.278$	$0$	$0.619581$	Character $\chi_{317}(15, \cdot)$
1-317-317.150-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.150	$0$	✓	✓	$0.0166$	$0$	$1.12734$	Character $\chi_{317}(150, \cdot)$
1-317-317.152-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.152	$0$	✓	✓	$0.166$	$0$	$2.19970$	Character $\chi_{317}(152, \cdot)$
1-317-317.156-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.156	$0$	✓	✓	$-0.164$	$0$	$0.0563029$	Character $\chi_{317}(156, \cdot)$
1-317-317.157-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.157	$0$	✓	✓	$0.278$	$0$	$1.69236$	Character $\chi_{317}(157, \cdot)$
1-317-317.16-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.16	$0$	✓	✓	$0.136$	$0$	$1.99589$	Character $\chi_{317}(16, \cdot)$
1-317-317.160-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.160	$0$	✓	✓	$-0.332$	$0$	$0.669312$	Character $\chi_{317}(160, \cdot)$
1-317-317.161-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.161	$0$	✓	✓	$-0.0576$	$0$	$1.47287$	Character $\chi_{317}(161, \cdot)$
1-317-317.165-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.165	$0$	✓	✓	$-0.309$	$0$	$0.611824$	Character $\chi_{317}(165, \cdot)$
1-317-317.167-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.167	$0$	✓	✓	$0.0380$	$0$	$1.03822$	Character $\chi_{317}(167, \cdot)$
1-317-317.168-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.168	$0$	✓	✓	$-0.0650$	$0$	$1.89724$	Character $\chi_{317}(168, \cdot)$
1-317-317.169-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.169	$0$	✓	✓	$-0.176$	$0$	$1.52065$	Character $\chi_{317}(169, \cdot)$
1-317-317.172-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.172	$0$	✓	✓	$-0.209$	$0$	$0.859684$	Character $\chi_{317}(172, \cdot)$
1-317-317.173-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.173	$0$	✓	✓	$0.358$	$0$	$2.39141$	Character $\chi_{317}(173, \cdot)$
1-317-317.175-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.175	$0$	✓	✓	$-0.0844$	$0$	$0.895192$	Character $\chi_{317}(175, \cdot)$
1-317-317.176-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.176	$0$	✓	✓	$-0.0279$	$0$	$1.64249$	Character $\chi_{317}(176, \cdot)$
1-317-317.179-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.179	$0$	✓	✓	$-0.388$	$0$	$0.986109$	Character $\chi_{317}(179, \cdot)$
1-317-317.181-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.181	$0$	✓	✓	$0.287$	$0$	$1.72663$	Character $\chi_{317}(181, \cdot)$
1-317-317.182-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.182	$0$	✓	✓	$0.139$	$0$	$1.31057$	Character $\chi_{317}(182, \cdot)$
1-317-317.186-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.186	$0$	✓	✓	$-0.334$	$0$	$0.893134$	Character $\chi_{317}(186, \cdot)$
1-317-317.193-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.193	$0$	✓	✓	$0.0759$	$0$	$0.915498$	Character $\chi_{317}(193, \cdot)$
1-317-317.194-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.194	$0$	✓	✓	$-0.307$	$0$	$2.82676$	Character $\chi_{317}(194, \cdot)$
1-317-317.196-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.196	$0$	✓	✓	$0.334$	$0$	$1.10076$	Character $\chi_{317}(196, \cdot)$
1-317-317.204-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.204	$0$	✓	✓	$0.225$	$0$	$2.00662$	Character $\chi_{317}(204, \cdot)$
1-317-317.205-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.205	$0$	✓	✓	$-0.0166$	$0$	$1.57824$	Character $\chi_{317}(205, \cdot)$
1-317-317.207-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.207	$0$	✓	✓	$0.395$	$0$	$1.63958$	Character $\chi_{317}(207, \cdot)$
1-317-317.212-r0-0-0	$1.47$	$1.47$	$1$	$317$	317.212	$0$	✓	✓	$0.332$	$0$	$1.29671$	Character $\chi_{317}(212, \cdot)$

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 315 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.