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 500 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1143-1143.1001-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1001	$0$	✓	✓	$-0.146$	$0$	$0.482129$	Character $\chi_{1143}(1001, \cdot)$
1-1143-1143.1006-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1006	$0$	✓	✓	$-0.0138$	$0$	$0.699318$	Character $\chi_{1143}(1006, \cdot)$
1-1143-1143.101-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.101	$0$	✓	✓	$-0.109$	$0$	$0.973012$	Character $\chi_{1143}(101, \cdot)$
1-1143-1143.1019-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1019	$0$	✓	✓	$0.322$	$0$	$0.221477$	Character $\chi_{1143}(1019, \cdot)$
1-1143-1143.1022-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1022	$0$	✓	✓	$0.339$	$0$	$1.38503$	Character $\chi_{1143}(1022, \cdot)$
1-1143-1143.1024-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1024	$0$	✓	✓	$0.407$	$0$	$1.47836$	Character $\chi_{1143}(1024, \cdot)$
1-1143-1143.1028-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1028	$0$	✓	✓	$0.0795$	$0$	$1.50948$	Character $\chi_{1143}(1028, \cdot)$
1-1143-1143.103-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.103	$0$	✓	✓	$-0.239$	$0$	$0.283137$	Character $\chi_{1143}(103, \cdot)$
1-1143-1143.1033-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1033	$0$	✓	✓	$-0.160$	$0$	$0.227422$	Character $\chi_{1143}(1033, \cdot)$
1-1143-1143.1040-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1040	$0$	✓	✓	$-0.393$	$0$	$0.593445$	Character $\chi_{1143}(1040, \cdot)$
1-1143-1143.1042-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1042	$0$	✓	✓	$0.0930$	$0$	$1.16554$	Character $\chi_{1143}(1042, \cdot)$
1-1143-1143.1048-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1048	$0$	✓	✓	$0.243$	$0$	$1.54693$	Character $\chi_{1143}(1048, \cdot)$
1-1143-1143.1049-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1049	$0$	✓	✓	$0.298$	$0$	$1.12687$	Character $\chi_{1143}(1049, \cdot)$
1-1143-1143.1051-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1051	$0$	✓	✓	$0.0534$	$0$	$1.09250$	Character $\chi_{1143}(1051, \cdot)$
1-1143-1143.1055-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1055	$0$	✓	✓	$-0.446$	$0$	$1.42022$	Character $\chi_{1143}(1055, \cdot)$
1-1143-1143.1057-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1057	$0$	✓	✓	$0.280$	$0$	$1.72402$	Character $\chi_{1143}(1057, \cdot)$
1-1143-1143.1060-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1060	$0$	✓	✓	$-0.315$	$0$	$0.767226$	Character $\chi_{1143}(1060, \cdot)$
1-1143-1143.1064-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1064	$0$	✓	✓	$0.0764$	$0$	$0.451414$	Character $\chi_{1143}(1064, \cdot)$
1-1143-1143.1066-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1066	$0$	✓	✓	$-0.219$	$0$	$1.00695$	Character $\chi_{1143}(1066, \cdot)$
1-1143-1143.1067-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1067	$0$	✓	✓	$0.195$	$0$	$1.27736$	Character $\chi_{1143}(1067, \cdot)$
1-1143-1143.1073-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1073	$0$	✓	✓	$0.156$	$0$	$1.17233$	Character $\chi_{1143}(1073, \cdot)$
1-1143-1143.1078-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1078	$0$	✓	✓	$-0.419$	$0$	$2.14225$	Character $\chi_{1143}(1078, \cdot)$
1-1143-1143.1082-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1082	$0$	✓	✓	$0.274$	$0$	$1.52585$	Character $\chi_{1143}(1082, \cdot)$
1-1143-1143.1084-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1084	$0$	✓	✓	$0.00583$	$0$	$0.238133$	Character $\chi_{1143}(1084, \cdot)$
1-1143-1143.1087-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1087	$0$	✓	✓	$0.435$	$0$	$1.77088$	Character $\chi_{1143}(1087, \cdot)$
1-1143-1143.1091-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1091	$0$	✓	✓	$0.218$	$0$	$0.801363$	Character $\chi_{1143}(1091, \cdot)$
1-1143-1143.1094-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1094	$0$	✓	✓	$-0.156$	$0$	$0.290847$	Character $\chi_{1143}(1094, \cdot)$
1-1143-1143.110-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.110	$0$	✓	✓	$0.424$	$0$	$0.481000$	Character $\chi_{1143}(110, \cdot)$
1-1143-1143.1109-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1109	$0$	✓	✓	$0.498$	$0$	$1.98039$	Character $\chi_{1143}(1109, \cdot)$
1-1143-1143.1112-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1112	$0$	✓	✓	$-0.0942$	$0$	$0.418449$	Character $\chi_{1143}(1112, \cdot)$
1-1143-1143.1114-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1114	$0$	✓	✓	$-0.275$	$0$	$0.102276$	Character $\chi_{1143}(1114, \cdot)$
1-1143-1143.1118-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1118	$0$	✓	✓	$0.00341$	$0$	$1.02298$	Character $\chi_{1143}(1118, \cdot)$
1-1143-1143.1120-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1120	$0$	✓	✓	$0.340$	$0$	$1.11765$	Character $\chi_{1143}(1120, \cdot)$
1-1143-1143.1121-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1121	$0$	✓	✓	$-0.218$	$0$	$0.634677$	Character $\chi_{1143}(1121, \cdot)$
1-1143-1143.1123-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1123	$0$	✓	✓	$-0.303$	$0$	$0.405100$	Character $\chi_{1143}(1123, \cdot)$
1-1143-1143.1127-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1127	$0$	✓	✓	$0.0414$	$0$	$1.24489$	Character $\chi_{1143}(1127, \cdot)$
1-1143-1143.1129-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1129	$0$	✓	✓	$-0.171$	$0$	$2.15700$	Character $\chi_{1143}(1129, \cdot)$
1-1143-1143.1130-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1130	$0$	✓	✓	$0.446$	$0$	$0.319798$	Character $\chi_{1143}(1130, \cdot)$
1-1143-1143.1138-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1138	$0$	✓	✓	$0.392$	$0$	$2.04608$	Character $\chi_{1143}(1138, \cdot)$
1-1143-1143.1139-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.1139	$0$	✓	✓	$0.403$	$0$	$1.68551$	Character $\chi_{1143}(1139, \cdot)$
1-1143-1143.115-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.115	$0$	✓	✓	$-0.315$	$0$	$0.437834$	Character $\chi_{1143}(115, \cdot)$
1-1143-1143.119-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.119	$0$	✓	✓	$0.236$	$0$	$0.936077$	Character $\chi_{1143}(119, \cdot)$
1-1143-1143.121-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.121	$0$	✓	✓	$0.186$	$0$	$1.15116$	Character $\chi_{1143}(121, \cdot)$
1-1143-1143.124-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.124	$0$	✓	✓	$0.345$	$0$	$1.04901$	Character $\chi_{1143}(124, \cdot)$
1-1143-1143.13-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.13	$0$	✓	✓	$0.141$	$0$	$1.25388$	Character $\chi_{1143}(13, \cdot)$
1-1143-1143.137-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.137	$0$	✓	✓	$-0.130$	$0$	$0.920523$	Character $\chi_{1143}(137, \cdot)$
1-1143-1143.14-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.14	$0$	✓	✓	$-0.220$	$0$	$0.670298$	Character $\chi_{1143}(14, \cdot)$
1-1143-1143.142-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.142	$0$	✓	✓	$-0.0614$	$0$	$1.40954$	Character $\chi_{1143}(142, \cdot)$
1-1143-1143.148-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.148	$0$	✓	✓	$0.0352$	$0$	$1.27720$	Character $\chi_{1143}(148, \cdot)$
1-1143-1143.155-r0-0-0	$5.30$	$5.30$	$1$	$3^{2} \cdot 127$	1143.155	$0$	✓	✓	$-0.237$	$0$	$0.215201$	Character $\chi_{1143}(155, \cdot)$

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