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 702 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-6027-6027.1004-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1004	$0$	✓	✓	$-0.150$	$0$	$0.289790$	Character $\chi_{6027}(1004, \cdot)$
1-6027-6027.1007-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1007	$0$	✓	✓	$-0.295$	$0$	$0.386154$	Character $\chi_{6027}(1007, \cdot)$
1-6027-6027.1019-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1019	$0$	✓	✓	$0.166$	$0$	$0.521879$	Character $\chi_{6027}(1019, \cdot)$
1-6027-6027.1031-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1031	$0$	✓	✓	$0.131$	$0$	$0.648089$	Character $\chi_{6027}(1031, \cdot)$
1-6027-6027.1034-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1034	$0$	✓	✓	$-0.128$	$0$	$0.860919$	Character $\chi_{6027}(1034, \cdot)$
1-6027-6027.1037-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1037	$0$	✓	✓	$-0.401$	$0$	$1.25197$	Character $\chi_{6027}(1037, \cdot)$
1-6027-6027.1040-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1040	$0$	✓	✓	$0.0277$	$0$	$0.403408$	Character $\chi_{6027}(1040, \cdot)$
1-6027-6027.1046-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1046	$0$	✓	✓	$0.0597$	$0$	$0.485748$	Character $\chi_{6027}(1046, \cdot)$
1-6027-6027.1052-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1052	$0$	✓	✓	$0.00152$	$0$	$0.409548$	Character $\chi_{6027}(1052, \cdot)$
1-6027-6027.1070-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1070	$0$	✓	✓	$-0.0259$	$0$	$0.661257$	Character $\chi_{6027}(1070, \cdot)$
1-6027-6027.1073-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1073	$0$	✓	✓	$-0.104$	$0$	$0.513017$	Character $\chi_{6027}(1073, \cdot)$
1-6027-6027.1076-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1076	$0$	✓	✓	$0.0142$	$0$	$0.993326$	Character $\chi_{6027}(1076, \cdot)$
1-6027-6027.1091-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1091	$0$	✓	✓	$-0.470$	$0$	$1.22411$	Character $\chi_{6027}(1091, \cdot)$
1-6027-6027.1094-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1094	$0$	✓	✓	$0.460$	$0$	$1.37133$	Character $\chi_{6027}(1094, \cdot)$
1-6027-6027.11-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.11	$0$	✓	✓	$-0.109$	$0$	$0.583739$	Character $\chi_{6027}(11, \cdot)$
1-6027-6027.1100-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1100	$0$	✓	✓	$-0.459$	$0$	$0.178841$	Character $\chi_{6027}(1100, \cdot)$
1-6027-6027.1112-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1112	$0$	✓	✓	$0.304$	$0$	$0.995473$	Character $\chi_{6027}(1112, \cdot)$
1-6027-6027.1121-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1121	$0$	✓	✓	$0.152$	$0$	$0.568481$	Character $\chi_{6027}(1121, \cdot)$
1-6027-6027.1124-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1124	$0$	✓	✓	$-0.386$	$0$	$0.632666$	Character $\chi_{6027}(1124, \cdot)$
1-6027-6027.1130-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1130	$0$	✓	✓	$-0.169$	$0$	$0.573365$	Character $\chi_{6027}(1130, \cdot)$
1-6027-6027.1136-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1136	$0$	✓	✓	$-0.171$	$0$	$0.344203$	Character $\chi_{6027}(1136, \cdot)$
1-6027-6027.1139-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1139	$0$	✓	✓	$-0.412$	$0$	$0.318023$	Character $\chi_{6027}(1139, \cdot)$
1-6027-6027.1142-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1142	$0$	✓	✓	$0.275$	$0$	$0.406193$	Character $\chi_{6027}(1142, \cdot)$
1-6027-6027.1163-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1163	$0$	✓	✓	$0.0277$	$0$	$1.00680$	Character $\chi_{6027}(1163, \cdot)$
1-6027-6027.1178-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1178	$0$	✓	✓	$0.0690$	$0$	$0.848703$	Character $\chi_{6027}(1178, \cdot)$
1-6027-6027.1181-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1181	$0$	✓	✓	$0.304$	$0$	$0.545471$	Character $\chi_{6027}(1181, \cdot)$
1-6027-6027.1193-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1193	$0$	✓	✓	$-0.202$	$0$	$0.443449$	Character $\chi_{6027}(1193, \cdot)$
1-6027-6027.1208-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1208	$0$	✓	✓	$0.205$	$0$	$1.36788$	Character $\chi_{6027}(1208, \cdot)$
1-6027-6027.1214-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1214	$0$	✓	✓	$-0.470$	$0$	$0.584129$	Character $\chi_{6027}(1214, \cdot)$
1-6027-6027.122-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.122	$0$	✓	✓	$0.290$	$0$	$0.990502$	Character $\chi_{6027}(122, \cdot)$
1-6027-6027.1235-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1235	$0$	✓	✓	$-0.304$	$0$	$0.429908$	Character $\chi_{6027}(1235, \cdot)$
1-6027-6027.1238-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1238	$0$	✓	✓	$0.497$	$0$	$1.28778$	Character $\chi_{6027}(1238, \cdot)$
1-6027-6027.1241-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1241	$0$	✓	✓	$-0.469$	$0$	$0.482622$	Character $\chi_{6027}(1241, \cdot)$
1-6027-6027.1247-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1247	$0$	✓	✓	$-0.0125$	$0$	$0.804798$	Character $\chi_{6027}(1247, \cdot)$
1-6027-6027.125-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.125	$0$	✓	✓	$0.273$	$0$	$0.677540$	Character $\chi_{6027}(125, \cdot)$
1-6027-6027.1268-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1268	$0$	✓	✓	$-0.294$	$0$	$0.818947$	Character $\chi_{6027}(1268, \cdot)$
1-6027-6027.1280-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1280	$0$	✓	✓	$-0.430$	$0$	$0.103649$	Character $\chi_{6027}(1280, \cdot)$
1-6027-6027.1283-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1283	$0$	✓	✓	$-0.0952$	$0$	$0.365885$	Character $\chi_{6027}(1283, \cdot)$
1-6027-6027.1307-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1307	$0$	✓	✓	$-0.444$	$0$	$1.01995$	Character $\chi_{6027}(1307, \cdot)$
1-6027-6027.131-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.131	$0$	✓	✓	$0.141$	$0$	$0.635994$	Character $\chi_{6027}(131, \cdot)$
1-6027-6027.1325-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1325	$0$	✓	✓	$0.311$	$0$	$0.122522$	Character $\chi_{6027}(1325, \cdot)$
1-6027-6027.1328-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1328	$0$	✓	✓	$-0.397$	$0$	$0.103756$	Character $\chi_{6027}(1328, \cdot)$
1-6027-6027.1331-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1331	$0$	✓	✓	$0.382$	$0$	$1.08193$	Character $\chi_{6027}(1331, \cdot)$
1-6027-6027.1334-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1334	$0$	✓	✓	$0.0974$	$0$	$0.735789$	Character $\chi_{6027}(1334, \cdot)$
1-6027-6027.134-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.134	$0$	✓	✓	$-0.109$	$0$	$0.765079$	Character $\chi_{6027}(134, \cdot)$
1-6027-6027.1343-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1343	$0$	✓	✓	$0.485$	$0$	$0.602370$	Character $\chi_{6027}(1343, \cdot)$
1-6027-6027.1346-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1346	$0$	✓	✓	$0.207$	$0$	$0.740275$	Character $\chi_{6027}(1346, \cdot)$
1-6027-6027.1349-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1349	$0$	✓	✓	$-0.112$	$0$	$0.959376$	Character $\chi_{6027}(1349, \cdot)$
1-6027-6027.1361-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1361	$0$	✓	✓	$0.497$	$0$	$0.0670483$	Character $\chi_{6027}(1361, \cdot)$
1-6027-6027.1367-r0-0-0	$27.9$	$27.9$	$1$	$3 \cdot 7^{2} \cdot 41$	6027.1367	$0$	✓	✓	$-0.0450$	$0$	$1.03428$	Character $\chi_{6027}(1367, \cdot)$

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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.