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 240 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-425-425.104-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.104	$0$	✓	✓	$0.207$	$0$	$1.06734$	Character $\chi_{425}(104, \cdot)$
1-425-425.106-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.106	$0$	✓	✓	$-0.484$	$0$	$0.414015$	Character $\chi_{425}(106, \cdot)$
1-425-425.108-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.108	$0$	✓	✓	$0.130$	$0$	$1.22813$	Character $\chi_{425}(108, \cdot)$
1-425-425.111-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.111	$0$	✓	✓	$0.247$	$0$	$1.31370$	Character $\chi_{425}(111, \cdot)$
1-425-425.112-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.112	$0$	✓	✓	$-0.470$	$0$	$2.39437$	Character $\chi_{425}(112, \cdot)$
1-425-425.113-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.113	$0$	✓	✓	$0.277$	$0$	$2.04875$	Character $\chi_{425}(113, \cdot)$
1-425-425.12-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.12	$0$	✓	✓	$-0.269$	$0$	$1.22659$	Character $\chi_{425}(12, \cdot)$
1-425-425.121-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.121	$0$	✓	✓	$-0.292$	$0$	$0.940830$	Character $\chi_{425}(121, \cdot)$
1-425-425.122-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.122	$0$	✓	✓	$-0.130$	$0$	$1.48106$	Character $\chi_{425}(122, \cdot)$
1-425-425.133-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.133	$0$	✓	✓	$0.0127$	$0$	$1.45830$	Character $\chi_{425}(133, \cdot)$
1-425-425.134-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.134	$0$	✓	✓	$-0.132$	$0$	$0.922125$	Character $\chi_{425}(134, \cdot)$
1-425-425.142-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.142	$0$	✓	✓	$-0.369$	$0$	$0.593154$	Character $\chi_{425}(142, \cdot)$
1-425-425.144-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.144	$0$	✓	✓	$-0.327$	$0$	$0.744210$	Character $\chi_{425}(144, \cdot)$
1-425-425.147-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.147	$0$	✓	✓	$-0.0127$	$0$	$1.20560$	Character $\chi_{425}(147, \cdot)$
1-425-425.148-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.148	$0$	✓	✓	$0.470$	$0$	$0.531310$	Character $\chi_{425}(148, \cdot)$
1-425-425.158-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.158	$0$	✓	✓	$0.321$	$0$	$1.32184$	Character $\chi_{425}(158, \cdot)$
1-425-425.16-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.16	$0$	✓	✓	$-0.120$	$0$	$0.613770$	Character $\chi_{425}(16, \cdot)$
1-425-425.161-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.161	$0$	✓	✓	$0.132$	$0$	$1.18326$	Character $\chi_{425}(161, \cdot)$
1-425-425.163-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.163	$0$	✓	✓	$-0.470$	$0$	$0.563278$	Character $\chi_{425}(163, \cdot)$
1-425-425.166-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.166	$0$	✓	✓	$-0.475$	$0$	$0.703498$	Character $\chi_{425}(166, \cdot)$
1-425-425.167-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.167	$0$	✓	✓	$-0.487$	$0$	$2.13631$	Character $\chi_{425}(167, \cdot)$
1-425-425.169-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.169	$0$	✓	✓	$-0.339$	$0$	$1.31502$	Character $\chi_{425}(169, \cdot)$
1-425-425.173-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.173	$0$	✓	✓	$-0.100$	$0$	$0.822673$	Character $\chi_{425}(173, \cdot)$
1-425-425.177-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.177	$0$	✓	✓	$-0.291$	$0$	$0.822236$	Character $\chi_{425}(177, \cdot)$
1-425-425.179-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.179	$0$	✓	✓	$0.472$	$0$	$0.723040$	Character $\chi_{425}(179, \cdot)$
1-425-425.186-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.186	$0$	✓	✓	$0.120$	$0$	$1.76955$	Character $\chi_{425}(186, \cdot)$
1-425-425.189-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.189	$0$	✓	✓	$-0.0124$	$0$	$1.40729$	Character $\chi_{425}(189, \cdot)$
1-425-425.19-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.19	$0$	✓	✓	$-0.472$	$0$	$2.45670$	Character $\chi_{425}(19, \cdot)$
1-425-425.191-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.191	$0$	✓	✓	$0.235$	$0$	$1.78371$	Character $\chi_{425}(191, \cdot)$
1-425-425.192-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.192	$0$	✓	✓	$-0.178$	$0$	$1.12426$	Character $\chi_{425}(192, \cdot)$
1-425-425.196-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.196	$0$	✓	✓	$-0.0275$	$0$	$0.304144$	Character $\chi_{425}(196, \cdot)$
1-425-425.197-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.197	$0$	✓	✓	$0.239$	$0$	$1.39302$	Character $\chi_{425}(197, \cdot)$
1-425-425.198-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.198	$0$	✓	✓	$0.0172$	$0$	$0.932289$	Character $\chi_{425}(198, \cdot)$
1-425-425.206-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.206	$0$	✓	✓	$0.0275$	$0$	$1.09864$	Character $\chi_{425}(206, \cdot)$
1-425-425.21-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.21	$0$	✓	✓	$0.195$	$0$	$1.92315$	Character $\chi_{425}(21, \cdot)$
1-425-425.219-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.219	$0$	✓	✓	$-0.352$	$0$	$0.154095$	Character $\chi_{425}(219, \cdot)$
1-425-425.22-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.22	$0$	✓	✓	$0.00131$	$0$	$0.401352$	Character $\chi_{425}(22, \cdot)$
1-425-425.227-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.227	$0$	✓	✓	$-0.159$	$0$	$0.0123310$	Character $\chi_{425}(227, \cdot)$
1-425-425.228-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.228	$0$	✓	✓	$0.178$	$0$	$2.15299$	Character $\chi_{425}(228, \cdot)$
1-425-425.229-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.229	$0$	✓	✓	$0.352$	$0$	$1.85510$	Character $\chi_{425}(229, \cdot)$
1-425-425.23-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.23	$0$	✓	✓	$-0.159$	$0$	$1.24799$	Character $\chi_{425}(23, \cdot)$
1-425-425.233-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.233	$0$	✓	✓	$-0.239$	$0$	$0.934163$	Character $\chi_{425}(233, \cdot)$
1-425-425.234-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.234	$0$	✓	✓	$-0.475$	$0$	$2.15103$	Character $\chi_{425}(234, \cdot)$
1-425-425.236-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.236	$0$	✓	✓	$0.107$	$0$	$2.00671$	Character $\chi_{425}(236, \cdot)$
1-425-425.246-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.246	$0$	✓	✓	$-0.147$	$0$	$0.928331$	Character $\chi_{425}(246, \cdot)$
1-425-425.248-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.248	$0$	✓	✓	$0.269$	$0$	$1.66109$	Character $\chi_{425}(248, \cdot)$
1-425-425.252-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.252	$0$	✓	✓	$-0.277$	$0$	$1.13419$	Character $\chi_{425}(252, \cdot)$
1-425-425.254-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.254	$0$	✓	✓	$0.339$	$0$	$1.99312$	Character $\chi_{425}(254, \cdot)$
1-425-425.258-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.258	$0$	✓	✓	$0.189$	$0$	$1.96275$	Character $\chi_{425}(258, \cdot)$
1-425-425.259-r0-0-0	$1.97$	$1.97$	$1$	$5^{2} \cdot 17$	425.259	$0$	✓	✓	$0.235$	$0$	$1.12231$	Character $\chi_{425}(259, \cdot)$

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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 $\F_{q}$
Belyi maps

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.