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

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Results (1-50 of 266 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-671-671.10-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.10	$0$	✓	✓	$-0.307$	$0$	$0.342532$	Character $\chi_{671}(10, \cdot)$
1-671-671.101-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.101	$0$	✓	✓	$0.373$	$0$	$1.16429$	Character $\chi_{671}(101, \cdot)$
1-671-671.102-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.102	$0$	✓	✓	$0.451$	$0$	$0.638715$	Character $\chi_{671}(102, \cdot)$
1-671-671.103-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.103	$0$	✓	✓	$-0.368$	$0$	$2.64036$	Character $\chi_{671}(103, \cdot)$
1-671-671.105-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.105	$0$	✓	✓	$0.154$	$0$	$1.39213$	Character $\chi_{671}(105, \cdot)$
1-671-671.108-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.108	$0$	✓	✓	$-0.489$	$0$	$0.806908$	Character $\chi_{671}(108, \cdot)$
1-671-671.112-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.112	$0$	✓	✓	$0.00872$	$0$	$1.86967$	Character $\chi_{671}(112, \cdot)$
1-671-671.113-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.113	$0$	✓	✓	$-0.231$	$0$	$0.765988$	Character $\chi_{671}(113, \cdot)$
1-671-671.116-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.116	$0$	✓	✓	$-0.139$	$0$	$0.796904$	Character $\chi_{671}(116, \cdot)$
1-671-671.119-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.119	$0$	✓	✓	$0.298$	$0$	$0.651012$	Character $\chi_{671}(119, \cdot)$
1-671-671.120-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.120	$0$	✓	✓	$0.174$	$0$	$1.71101$	Character $\chi_{671}(120, \cdot)$
1-671-671.125-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.125	$0$	✓	✓	$-0.451$	$0$	$1.75103$	Character $\chi_{671}(125, \cdot)$
1-671-671.126-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.126	$0$	✓	✓	$0.348$	$0$	$0.904310$	Character $\chi_{671}(126, \cdot)$
1-671-671.128-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.128	$0$	✓	✓	$-0.123$	$0$	$0.608701$	Character $\chi_{671}(128, \cdot)$
1-671-671.129-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.129	$0$	✓	✓	$0.499$	$0$	$2.02607$	Character $\chi_{671}(129, \cdot)$
1-671-671.135-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.135	$0$	✓	✓	$-0.157$	$0$	$0.407002$	Character $\chi_{671}(135, \cdot)$
1-671-671.136-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.136	$0$	✓	✓	$0.230$	$0$	$1.82004$	Character $\chi_{671}(136, \cdot)$
1-671-671.137-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.137	$0$	✓	✓	$-0.356$	$0$	$1.06852$	Character $\chi_{671}(137, \cdot)$
1-671-671.139-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.139	$0$	✓	✓	$0.409$	$0$	$1.49364$	Character $\chi_{671}(139, \cdot)$
1-671-671.14-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.14	$0$	✓	✓	$0.422$	$0$	$1.23399$	Character $\chi_{671}(14, \cdot)$
1-671-671.140-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.140	$0$	✓	✓	$-0.409$	$0$	$0.590049$	Character $\chi_{671}(140, \cdot)$
1-671-671.141-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.141	$0$	✓	✓	$0.118$	$0$	$1.22168$	Character $\chi_{671}(141, \cdot)$
1-671-671.145-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.145	$0$	✓	✓	$0.381$	$0$	$1.76320$	Character $\chi_{671}(145, \cdot)$
1-671-671.147-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.147	$0$	✓	✓	$-0.140$	$0$	$1.43534$	Character $\chi_{671}(147, \cdot)$
1-671-671.15-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.15	$0$	✓	✓	$-0.195$	$0$	$0.575130$	Character $\chi_{671}(15, \cdot)$
1-671-671.150-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.150	$0$	✓	✓	$-0.117$	$0$	$0.597629$	Character $\chi_{671}(150, \cdot)$
1-671-671.151-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.151	$0$	✓	✓	$-0.365$	$0$	$1.12792$	Character $\chi_{671}(151, \cdot)$
1-671-671.153-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.153	$0$	✓	✓	$-0.398$	$0$	$0.651083$	Character $\chi_{671}(153, \cdot)$
1-671-671.158-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.158	$0$	✓	✓	$-0.117$	$0$	$0.943381$	Character $\chi_{671}(158, \cdot)$
1-671-671.16-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.16	$0$	✓	✓	$0.0147$	$0$	$1.07272$	Character $\chi_{671}(16, \cdot)$
1-671-671.160-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.160	$0$	✓	✓	$0.0740$	$0$	$0.861007$	Character $\chi_{671}(160, \cdot)$
1-671-671.162-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.162	$0$	✓	✓	$0.487$	$0$	$0.367410$	Character $\chi_{671}(162, \cdot)$
1-671-671.163-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.163	$0$	✓	✓	$-0.387$	$0$	$2.09283$	Character $\chi_{671}(163, \cdot)$
1-671-671.168-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.168	$0$	✓	✓	$0.490$	$0$	$0.0616601$	Character $\chi_{671}(168, \cdot)$
1-671-671.169-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.169	$0$	✓	✓	$0.157$	$0$	$1.12205$	Character $\chi_{671}(169, \cdot)$
1-671-671.17-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.17	$0$	✓	✓	$-0.475$	$0$	$0.792925$	Character $\chi_{671}(17, \cdot)$
1-671-671.170-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.170	$0$	✓	✓	$0.416$	$0$	$1.74307$	Character $\chi_{671}(170, \cdot)$
1-671-671.172-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.172	$0$	✓	✓	$-0.241$	$0$	$0.186931$	Character $\chi_{671}(172, \cdot)$
1-671-671.173-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.173	$0$	✓	✓	$0.123$	$0$	$0.772729$	Character $\chi_{671}(173, \cdot)$
1-671-671.174-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.174	$0$	✓	✓	$-0.0703$	$0$	$0.692108$	Character $\chi_{671}(174, \cdot)$
1-671-671.175-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.175	$0$	✓	✓	$0.479$	$0$	$2.22609$	Character $\chi_{671}(175, \cdot)$
1-671-671.179-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.179	$0$	✓	✓	$0.195$	$0$	$1.26316$	Character $\chi_{671}(179, \cdot)$
1-671-671.18-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.18	$0$	✓	✓	$0.468$	$0$	$0.483562$	Character $\chi_{671}(18, \cdot)$
1-671-671.180-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.180	$0$	✓	✓	$-0.0545$	$0$	$1.30524$	Character $\chi_{671}(180, \cdot)$
1-671-671.189-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.189	$0$	✓	✓	$-0.115$	$0$	$0.277976$	Character $\chi_{671}(189, \cdot)$
1-671-671.192-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.192	$0$	✓	✓	$0.128$	$0$	$1.00449$	Character $\chi_{671}(192, \cdot)$
1-671-671.193-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.193	$0$	✓	✓	$0.246$	$0$	$1.09465$	Character $\chi_{671}(193, \cdot)$
1-671-671.194-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.194	$0$	✓	✓	$0.119$	$0$	$1.81564$	Character $\chi_{671}(194, \cdot)$
1-671-671.196-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.196	$0$	✓	✓	$0.00388$	$0$	$1.00505$	Character $\chi_{671}(196, \cdot)$
1-671-671.2-r0-0-0	$3.11$	$3.11$	$1$	$11 \cdot 61$	671.2	$0$	✓	✓	$-0.154$	$0$	$0.751298$	Character $\chi_{671}(2, \cdot)$

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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 266 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.