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 270 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-3332-3332.1019-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1019	$1$	✓	✓	$0.312$	$0$	$0.0739628$	Character $\chi_{3332}(1019, \cdot)$
1-3332-3332.1027-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1027	$1$	✓	✓	$-0.190$	$0$	$0.246551$	Character $\chi_{3332}(1027, \cdot)$
1-3332-3332.1075-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1075	$1$	✓	✓	$-0.290$	$0$	$0.492789$	Character $\chi_{3332}(1075, \cdot)$
1-3332-3332.1083-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1083	$1$	✓	✓	$0.0378$	$0$	$0.981747$	Character $\chi_{3332}(1083, \cdot)$
1-3332-3332.1087-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1087	$1$	✓	✓	$-0.0544$	$0$	$0.735917$	Character $\chi_{3332}(1087, \cdot)$
1-3332-3332.1091-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1091	$1$	✓	✓	$-0.332$	$0$	$1.23164$	Character $\chi_{3332}(1091, \cdot)$
1-3332-3332.1095-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1095	$1$	✓	✓	$-0.0439$	$0$	$0.573651$	Character $\chi_{3332}(1095, \cdot)$
1-3332-3332.1103-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1103	$1$	✓	✓	$0.266$	$0$	$0.746736$	Character $\chi_{3332}(1103, \cdot)$
1-3332-3332.1107-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1107	$1$	✓	✓	$0.234$	$0$	$0.206226$	Character $\chi_{3332}(1107, \cdot)$
1-3332-3332.1111-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1111	$1$	✓	✓	$-0.133$	$0$	$0.488396$	Character $\chi_{3332}(1111, \cdot)$
1-3332-3332.1119-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1119	$1$	✓	✓	$-0.376$	$0$	$0.0826184$	Character $\chi_{3332}(1119, \cdot)$
1-3332-3332.1131-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1131	$1$	✓	✓	$-0.234$	$0$	$0.445769$	Character $\chi_{3332}(1131, \cdot)$
1-3332-3332.1135-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1135	$1$	✓	✓	$-0.335$	$0$	$0.184359$	Character $\chi_{3332}(1135, \cdot)$
1-3332-3332.1143-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1143	$1$	✓	✓	$0.00176$	$0$	$0.583863$	Character $\chi_{3332}(1143, \cdot)$
1-3332-3332.1151-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1151	$1$	✓	✓	$-0.370$	$0$	$1.07718$	Character $\chi_{3332}(1151, \cdot)$
1-3332-3332.1167-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1167	$1$	✓	✓	$-0.157$	$0$	$0.393804$	Character $\chi_{3332}(1167, \cdot)$
1-3332-3332.1171-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1171	$1$	✓	✓	$-0.325$	$0$	$0.0500718$	Character $\chi_{3332}(1171, \cdot)$
1-3332-3332.1179-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1179	$1$	✓	✓	$0.0741$	$0$	$0.245122$	Character $\chi_{3332}(1179, \cdot)$
1-3332-3332.1199-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1199	$1$	✓	✓	$-0.234$	$0$	$0.471547$	Character $\chi_{3332}(1199, \cdot)$
1-3332-3332.1215-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1215	$1$	✓	✓	$0.325$	$0$	$0.922662$	Character $\chi_{3332}(1215, \cdot)$
1-3332-3332.123-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.123	$1$	✓	✓	$-0.365$	$0$	$0.327087$	Character $\chi_{3332}(123, \cdot)$
1-3332-3332.1231-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1231	$1$	✓	✓	$0.0682$	$0$	$0.994945$	Character $\chi_{3332}(1231, \cdot)$
1-3332-3332.1235-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1235	$1$	✓	✓	$-0.289$	$0$	$1.30893$	Character $\chi_{3332}(1235, \cdot)$
1-3332-3332.1251-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1251	$1$	✓	✓	$0.281$	$0$	$1.04613$	Character $\chi_{3332}(1251, \cdot)$
1-3332-3332.1263-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1263	$1$	✓	✓	$0.465$	$0$	$0.800930$	Character $\chi_{3332}(1263, \cdot)$
1-3332-3332.127-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.127	$1$	✓	✓	$0.379$	$0$	$0.972281$	Character $\chi_{3332}(127, \cdot)$
1-3332-3332.1271-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1271	$1$	✓	✓	$0.00176$	$0$	$0.113162$	Character $\chi_{3332}(1271, \cdot)$
1-3332-3332.1283-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1283	$1$	✓	✓	$-0.0423$	$0$	$0.378894$	Character $\chi_{3332}(1283, \cdot)$
1-3332-3332.1287-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1287	$1$	✓	✓	$0.238$	$0$	$0.868200$	Character $\chi_{3332}(1287, \cdot)$
1-3332-3332.131-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.131	$1$	✓	✓	$0.497$	$0$	$0.757325$	Character $\chi_{3332}(131, \cdot)$
1-3332-3332.1311-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1311	$1$	✓	✓	$0.234$	$0$	$0.596444$	Character $\chi_{3332}(1311, \cdot)$
1-3332-3332.1315-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1315	$1$	✓	✓	$-0.259$	$0$	$0.340301$	Character $\chi_{3332}(1315, \cdot)$
1-3332-3332.1319-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1319	$1$	✓	✓	$0.281$	$0$	$0.600247$	Character $\chi_{3332}(1319, \cdot)$
1-3332-3332.1339-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1339	$1$	✓	✓	$0.290$	$0$	$0.727808$	Character $\chi_{3332}(1339, \cdot)$
1-3332-3332.135-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.135	$1$	✓	✓	$0.367$	$0$	$1.00945$	Character $\chi_{3332}(135, \cdot)$
1-3332-3332.1359-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1359	$1$	✓	✓	$0.387$	$0$	$0.614550$	Character $\chi_{3332}(1359, \cdot)$
1-3332-3332.1363-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1363	$1$	✓	✓	$-0.274$	$0$	$1.56497$	Character $\chi_{3332}(1363, \cdot)$
1-3332-3332.139-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.139	$1$	✓	✓	$-0.199$	$0$	$0.614795$	Character $\chi_{3332}(139, \cdot)$
1-3332-3332.1399-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1399	$1$	✓	✓	$0.0439$	$0$	$0.551822$	Character $\chi_{3332}(1399, \cdot)$
1-3332-3332.1415-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1415	$1$	✓	✓	$0.335$	$0$	$0.824265$	Character $\chi_{3332}(1415, \cdot)$
1-3332-3332.143-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.143	$1$	✓	✓	$-0.278$	$0$	$0.757459$	Character $\chi_{3332}(143, \cdot)$
1-3332-3332.1431-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1431	$1$	✓	✓	$-0.407$	$0$	$1.41818$	Character $\chi_{3332}(1431, \cdot)$
1-3332-3332.1443-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1443	$1$	✓	✓	$-0.379$	$0$	$0.170251$	Character $\chi_{3332}(1443, \cdot)$
1-3332-3332.1455-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1455	$1$	✓	✓	$-0.238$	$0$	$0.365764$	Character $\chi_{3332}(1455, \cdot)$
1-3332-3332.1459-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1459	$1$	✓	✓	$0.157$	$0$	$0.758077$	Character $\chi_{3332}(1459, \cdot)$
1-3332-3332.1495-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1495	$1$	✓	✓	$0.278$	$0$	$0.418538$	Character $\chi_{3332}(1495, \cdot)$
1-3332-3332.15-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.15	$1$	✓	✓	$-0.399$	$0$	$0.295708$	Character $\chi_{3332}(15, \cdot)$
1-3332-3332.1503-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1503	$1$	✓	✓	$-0.265$	$0$	$0.133815$	Character $\chi_{3332}(1503, \cdot)$
1-3332-3332.151-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.151	$1$	✓	✓	$-0.379$	$0$	$0.0788520$	Character $\chi_{3332}(151, \cdot)$
1-3332-3332.155-r1-0-0	$358.$	$358.$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.155	$1$	✓	✓	$-0.111$	$0$	$0.177739$	Character $\chi_{3332}(155, \cdot)$

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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.