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 95 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-253-253.10-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.10	$0$	✓	✓	$0.117$	$0$	$2.15134$	Character $\chi_{253}(10, \cdot)$
1-253-253.104-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.104	$0$	✓	✓	$0.0908$	$0$	$1.08548$	Character $\chi_{253}(104, \cdot)$
1-253-253.106-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.106	$0$	✓	✓	$-0.295$	$0$	$1.20278$	Character $\chi_{253}(106, \cdot)$
1-253-253.107-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.107	$0$	✓	✓	$-0.436$	$0$	$1.18498$	Character $\chi_{253}(107, \cdot)$
1-253-253.108-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.108	$0$	✓	✓	$-0.121$	$0$	$0.759668$	Character $\chi_{253}(108, \cdot)$
1-253-253.109-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.109	$0$	✓	✓	$0.429$	$0$	$2.71055$	Character $\chi_{253}(109, \cdot)$
1-253-253.112-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.112	$0$	✓	✓	$-0.155$	$0$	$0.673264$	Character $\chi_{253}(112, \cdot)$
1-253-253.119-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.119	$0$	✓	✓	$-0.419$	$0$	$0.750470$	Character $\chi_{253}(119, \cdot)$
1-253-253.120-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.120	$0$	✓	✓	$-0.0654$	$0$	$1.31366$	Character $\chi_{253}(120, \cdot)$
1-253-253.124-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.124	$0$	✓	✓	$-0.0392$	$0$	$1.32632$	Character $\chi_{253}(124, \cdot)$
1-253-253.129-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.129	$0$	✓	✓	$0.426$	$0$	$1.97071$	Character $\chi_{253}(129, \cdot)$
1-253-253.134-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.134	$0$	✓	✓	$-0.383$	$0$	$0.449025$	Character $\chi_{253}(134, \cdot)$
1-253-253.141-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.141	$0$	✓	✓	$0.215$	$0$	$1.87236$	Character $\chi_{253}(141, \cdot)$
1-253-253.145-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.145	$0$	✓	✓	$-0.0711$	$0$	$1.48365$	Character $\chi_{253}(145, \cdot)$
1-253-253.146-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.146	$0$	✓	✓	$-0.461$	$0$	$0.177243$	Character $\chi_{253}(146, \cdot)$
1-253-253.147-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.147	$0$	✓	✓	$0.168$	$0$	$2.08227$	Character $\chi_{253}(147, \cdot)$
1-253-253.149-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.149	$0$	✓	✓	$-0.354$	$0$	$1.07510$	Character $\chi_{253}(149, \cdot)$
1-253-253.153-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.153	$0$	✓	✓	$0.202$	$0$	$1.76977$	Character $\chi_{253}(153, \cdot)$
1-253-253.16-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.16	$0$	✓	✓	$0.163$	$0$	$1.93896$	Character $\chi_{253}(16, \cdot)$
1-253-253.160-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.160	$0$	✓	✓	$-0.0465$	$0$	$1.62888$	Character $\chi_{253}(160, \cdot)$
1-253-253.163-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.163	$0$	✓	✓	$-0.0908$	$0$	$1.07466$	Character $\chi_{253}(163, \cdot)$
1-253-253.169-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.169	$0$	✓	✓	$-0.246$	$0$	$1.25027$	Character $\chi_{253}(169, \cdot)$
1-253-253.17-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.17	$0$	✓	✓	$0.383$	$0$	$1.83025$	Character $\chi_{253}(17, \cdot)$
1-253-253.170-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.170	$0$	✓	✓	$0.207$	$0$	$1.01888$	Character $\chi_{253}(170, \cdot)$
1-253-253.171-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.171	$0$	✓	✓	$0.0711$	$0$	$0.857433$	Character $\chi_{253}(171, \cdot)$
1-253-253.172-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.172	$0$	✓	✓	$0.331$	$0$	$1.89407$	Character $\chi_{253}(172, \cdot)$
1-253-253.174-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.174	$0$	✓	✓	$-0.163$	$0$	$1.78343$	Character $\chi_{253}(174, \cdot)$
1-253-253.175-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.175	$0$	✓	✓	$0.0654$	$0$	$0.917124$	Character $\chi_{253}(175, \cdot)$
1-253-253.178-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.178	$0$	✓	✓	$0.476$	$0$	$0.817106$	Character $\chi_{253}(178, \cdot)$
1-253-253.179-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.179	$0$	✓	✓	$-0.168$	$0$	$1.45409$	Character $\chi_{253}(179, \cdot)$
1-253-253.182-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.182	$0$	✓	✓	$0.261$	$0$	$2.00512$	Character $\chi_{253}(182, \cdot)$
1-253-253.183-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.183	$0$	✓	✓	$-0.361$	$0$	$0.452465$	Character $\chi_{253}(183, \cdot)$
1-253-253.189-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.189	$0$	✓	✓	$-0.0189$	$0$	$0.448938$	Character $\chi_{253}(189, \cdot)$
1-253-253.19-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.19	$0$	✓	✓	$-0.0686$	$0$	$1.14114$	Character $\chi_{253}(19, \cdot)$
1-253-253.190-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.190	$0$	✓	✓	$0.172$	$0$	$1.32660$	Character $\chi_{253}(190, \cdot)$
1-253-253.192-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.192	$0$	✓	✓	$-0.215$	$0$	$1.38993$	Character $\chi_{253}(192, \cdot)$
1-253-253.194-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.194	$0$	✓	✓	$-0.243$	$0$	$1.35089$	Character $\chi_{253}(194, \cdot)$
1-253-253.195-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.195	$0$	✓	✓	$0.0533$	$0$	$1.50345$	Character $\chi_{253}(195, \cdot)$
1-253-253.196-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.196	$0$	✓	✓	$-0.194$	$0$	$0.0337445$	Character $\chi_{253}(196, \cdot)$
1-253-253.202-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.202	$0$	✓	✓	$0.0392$	$0$	$0.488922$	Character $\chi_{253}(202, \cdot)$
1-253-253.204-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.204	$0$	✓	✓	$-0.248$	$0$	$0.774665$	Character $\chi_{253}(204, \cdot)$
1-253-253.205-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.205	$0$	✓	✓	$-0.0533$	$0$	$1.76851$	Character $\chi_{253}(205, \cdot)$
1-253-253.206-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.206	$0$	✓	✓	$0.361$	$0$	$1.10399$	Character $\chi_{253}(206, \cdot)$
1-253-253.21-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.21	$0$	✓	✓	$0.307$	$0$	$0.0916925$	Character $\chi_{253}(21, \cdot)$
1-253-253.213-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.213	$0$	✓	✓	$0.380$	$0$	$0.593320$	Character $\chi_{253}(213, \cdot)$
1-253-253.217-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.217	$0$	✓	✓	$0.478$	$0$	$0.111444$	Character $\chi_{253}(217, \cdot)$
1-253-253.222-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.222	$0$	✓	✓	$0.248$	$0$	$2.00832$	Character $\chi_{253}(222, \cdot)$
1-253-253.223-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.223	$0$	✓	✓	$-0.0829$	$0$	$0.604363$	Character $\chi_{253}(223, \cdot)$
1-253-253.225-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.225	$0$	✓	✓	$0.0782$	$0$	$1.77693$	Character $\chi_{253}(225, \cdot)$
1-253-253.226-r0-0-0	$1.17$	$1.17$	$1$	$11 \cdot 23$	253.226	$0$	✓	✓	$-0.476$	$0$	$2.43263$	Character $\chi_{253}(226, \cdot)$

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 95 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.