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 284 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-571-571.100-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.100	$0$	$$	$0$	✓	✓	$-0.291$	$0$	$1.86400$	Dirichlet character $\chi_{571} (100, \cdot) $
1-571-571.105-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.105	$0$	$$	$0$	✓	✓	$0.474$	$0$	$1.71611$	Dirichlet character $\chi_{571} (105, \cdot) $
1-571-571.106-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.106	$0$	$$	$0$	✓	✓	$0.0254$	$0$	$1.13432$	Dirichlet character $\chi_{571} (106, \cdot) $
1-571-571.109-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.109	$0$	$$	$0$	✓	✓	$0.287$	$0$	$1.32694$	Dirichlet character $\chi_{571} (109, \cdot) $
1-571-571.11-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.11	$0$	$$	$0$	✓	✓	$0.395$	$0$	$0.881669$	Dirichlet character $\chi_{571} (11, \cdot) $
1-571-571.115-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.115	$0$	$$	$0$	✓	✓	$0.221$	$0$	$1.33022$	Dirichlet character $\chi_{571} (115, \cdot) $
1-571-571.116-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.116	$0$	$$	$0$	✓	✓	$-0.167$	$0$	$0.316477$	Dirichlet character $\chi_{571} (116, \cdot) $
1-571-571.117-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.117	$0$	$$	$0$	✓	✓	$0.00326$	$0$	$0.727471$	Dirichlet character $\chi_{571} (117, \cdot) $
1-571-571.119-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.119	$0$	$$	$0$	✓	✓	$-0.281$	$0$	$0.898494$	Dirichlet character $\chi_{571} (119, \cdot) $
1-571-571.120-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.120	$0$	$$	$0$	✓	✓	$-0.348$	$0$	$0.877203$	Dirichlet character $\chi_{571} (120, \cdot) $
1-571-571.121-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.121	$0$	$$	$0$	✓	✓	$-0.0731$	$0$	$1.27180$	Dirichlet character $\chi_{571} (121, \cdot) $
1-571-571.123-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.123	$0$	$$	$0$	✓	✓	$-0.136$	$0$	$1.44791$	Dirichlet character $\chi_{571} (123, \cdot) $
1-571-571.124-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.124	$0$	$$	$0$	✓	✓	$0.276$	$0$	$1.20218$	Dirichlet character $\chi_{571} (124, \cdot) $
1-571-571.125-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.125	$0$	$$	$0$	✓	✓	$0.463$	$0$	$1.70804$	Dirichlet character $\chi_{571} (125, \cdot) $
1-571-571.126-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.126	$0$	$$	$0$	✓	✓	$-0.233$	$0$	$0.757545$	Dirichlet character $\chi_{571} (126, \cdot) $
1-571-571.127-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.127	$0$	$$	$0$	✓	✓	$0.245$	$0$	$1.83127$	Dirichlet character $\chi_{571} (127, \cdot) $
1-571-571.13-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.13	$0$	$$	$0$	✓	✓	$-0.129$	$0$	$0.643290$	Dirichlet character $\chi_{571} (13, \cdot) $
1-571-571.131-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.131	$0$	$$	$0$	✓	✓	$0.00326$	$0$	$0.807206$	Dirichlet character $\chi_{571} (131, \cdot) $
1-571-571.133-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.133	$0$	$$	$0$	✓	✓	$-0.439$	$0$	$0.243106$	Dirichlet character $\chi_{571} (133, \cdot) $
1-571-571.134-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.134	$0$	$$	$0$	✓	✓	$-0.320$	$0$	$0.496709$	Dirichlet character $\chi_{571} (134, \cdot) $
1-571-571.136-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.136	$0$	$$	$0$	✓	✓	$0.162$	$0$	$1.00155$	Dirichlet character $\chi_{571} (136, \cdot) $
1-571-571.138-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.138	$0$	$$	$0$	✓	✓	$0.348$	$0$	$0.958397$	Dirichlet character $\chi_{571} (138, \cdot) $
1-571-571.139-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.139	$0$	$$	$0$	✓	✓	$0.295$	$0$	$1.71469$	Dirichlet character $\chi_{571} (139, \cdot) $
1-571-571.14-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.14	$0$	$$	$0$	✓	✓	$0.0982$	$0$	$1.11210$	Dirichlet character $\chi_{571} (14, \cdot) $
1-571-571.141-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.141	$0$	$$	$0$	✓	✓	$0.335$	$0$	$1.89060$	Dirichlet character $\chi_{571} (141, \cdot) $
1-571-571.142-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.142	$0$	$$	$0$	✓	✓	$0.136$	$0$	$0.908034$	Dirichlet character $\chi_{571} (142, \cdot) $
1-571-571.143-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.143	$0$	$$	$0$	✓	✓	$-0.0181$	$0$	$1.59515$	Dirichlet character $\chi_{571} (143, \cdot) $
1-571-571.144-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.144	$0$	$$	$0$	✓	✓	$-0.221$	$0$	$0.321420$	Dirichlet character $\chi_{571} (144, \cdot) $
1-571-571.145-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.145	$0$	$$	$0$	✓	✓	$0.164$	$0$	$1.56564$	Dirichlet character $\chi_{571} (145, \cdot) $
1-571-571.146-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.146	$0$	$$	$0$	✓	✓	$0.177$	$0$	$1.31541$	Dirichlet character $\chi_{571} (146, \cdot) $
1-571-571.148-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.148	$0$	$$	$0$	✓	✓	$0.211$	$0$	$1.23411$	Dirichlet character $\chi_{571} (148, \cdot) $
1-571-571.149-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.149	$0$	$$	$0$	✓	✓	$-0.363$	$0$	$0.703344$	Dirichlet character $\chi_{571} (149, \cdot) $
1-571-571.150-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.150	$0$	$$	$0$	✓	✓	$0.363$	$0$	$1.95427$	Dirichlet character $\chi_{571} (150, \cdot) $
1-571-571.152-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.152	$0$	$$	$0$	✓	✓	$-0.295$	$0$	$0.536449$	Dirichlet character $\chi_{571} (152, \cdot) $
1-571-571.154-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.154	$0$	$$	$0$	✓	✓	$-0.0318$	$0$	$1.00819$	Dirichlet character $\chi_{571} (154, \cdot) $
1-571-571.155-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.155	$0$	$$	$0$	✓	✓	$-0.186$	$0$	$0.911196$	Dirichlet character $\chi_{571} (155, \cdot) $
1-571-571.157-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.157	$0$	$$	$0$	✓	✓	$-0.304$	$0$	$1.22320$	Dirichlet character $\chi_{571} (157, \cdot) $
1-571-571.158-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.158	$0$	$$	$0$	✓	✓	$-0.349$	$0$	$0.561074$	Dirichlet character $\chi_{571} (158, \cdot) $
1-571-571.159-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.159	$0$	$$	$0$	✓	✓	$-0.246$	$0$	$0.931977$	Dirichlet character $\chi_{571} (159, \cdot) $
1-571-571.16-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.16	$0$	$$	$0$	✓	✓	$-0.160$	$0$	$0.794923$	Dirichlet character $\chi_{571} (16, \cdot) $
1-571-571.163-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.163	$0$	$$	$0$	✓	✓	$0.0714$	$0$	$1.70925$	Dirichlet character $\chi_{571} (163, \cdot) $
1-571-571.167-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.167	$0$	$$	$0$	✓	✓	$-0.0254$	$0$	$1.16695$	Dirichlet character $\chi_{571} (167, \cdot) $
1-571-571.169-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.169	$0$	$$	$0$	✓	✓	$-0.438$	$0$	$2.45831$	Dirichlet character $\chi_{571} (169, \cdot) $
1-571-571.170-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.170	$0$	$$	$0$	✓	✓	$0.00326$	$0$	$0.680887$	Dirichlet character $\chi_{571} (170, \cdot) $
1-571-571.172-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.172	$0$	$$	$0$	✓	✓	$-0.170$	$0$	$0.570915$	Dirichlet character $\chi_{571} (172, \cdot) $
1-571-571.173-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.173	$0$	$$	$0$	✓	✓	$-0.0586$	$0$	$0.684062$	Dirichlet character $\chi_{571} (173, \cdot) $
1-571-571.174-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.174	$0$	$$	$0$	✓	✓	$0.0552$	$0$	$0.255697$	Dirichlet character $\chi_{571} (174, \cdot) $
1-571-571.176-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.176	$0$	$$	$0$	✓	✓	$-0.177$	$0$	$0.451025$	Dirichlet character $\chi_{571} (176, \cdot) $
1-571-571.178-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.178	$0$	$$	$0$	✓	✓	$0.0295$	$0$	$1.65777$	Dirichlet character $\chi_{571} (178, \cdot) $
1-571-571.179-r0-0-0	$2.65$	$2.65$	$1$	$571$	571.179	$0$	$$	$0$	✓	✓	$0.212$	$0$	$1.08935$	Dirichlet character $\chi_{571} (179, \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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Results (1-50 of 284 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.