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 2160 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-5915-5915.1003-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1003	$0$	✓	✓	$0.391$	$0$	$0.134290$	Character $\chi_{5915}(1003, \cdot)$
1-5915-5915.1012-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1012	$0$	✓	✓	$0.274$	$0$	$0.813517$	Character $\chi_{5915}(1012, \cdot)$
1-5915-5915.1018-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1018	$0$	✓	✓	$0.255$	$0$	$1.22292$	Character $\chi_{5915}(1018, \cdot)$
1-5915-5915.102-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.102	$0$	✓	✓	$-0.328$	$0$	$0.397927$	Character $\chi_{5915}(102, \cdot)$
1-5915-5915.1024-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1024	$0$	✓	✓	$-0.464$	$0$	$0.0359123$	Character $\chi_{5915}(1024, \cdot)$
1-5915-5915.1028-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1028	$0$	✓	✓	$0.333$	$0$	$0.988680$	Character $\chi_{5915}(1028, \cdot)$
1-5915-5915.103-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.103	$0$	✓	✓	$0.153$	$0$	$0.503997$	Character $\chi_{5915}(103, \cdot)$
1-5915-5915.1034-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1034	$0$	✓	✓	$-0.426$	$0$	$1.05119$	Character $\chi_{5915}(1034, \cdot)$
1-5915-5915.1038-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1038	$0$	✓	✓	$0.447$	$0$	$0.927485$	Character $\chi_{5915}(1038, \cdot)$
1-5915-5915.1047-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1047	$0$	✓	✓	$0.232$	$0$	$1.25737$	Character $\chi_{5915}(1047, \cdot)$
1-5915-5915.1054-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1054	$0$	✓	✓	$-0.0401$	$0$	$0.871781$	Character $\chi_{5915}(1054, \cdot)$
1-5915-5915.1062-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1062	$0$	✓	✓	$-0.0883$	$0$	$0.768942$	Character $\chi_{5915}(1062, \cdot)$
1-5915-5915.1063-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1063	$0$	✓	✓	$-0.349$	$0$	$0.0374393$	Character $\chi_{5915}(1063, \cdot)$
1-5915-5915.1067-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1067	$0$	✓	✓	$-0.416$	$0$	$0.925318$	Character $\chi_{5915}(1067, \cdot)$
1-5915-5915.1068-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1068	$0$	✓	✓	$0.146$	$0$	$0.653439$	Character $\chi_{5915}(1068, \cdot)$
1-5915-5915.1073-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1073	$0$	✓	✓	$0.333$	$0$	$0.839049$	Character $\chi_{5915}(1073, \cdot)$
1-5915-5915.1074-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1074	$0$	✓	✓	$-0.207$	$0$	$0.826861$	Character $\chi_{5915}(1074, \cdot)$
1-5915-5915.108-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.108	$0$	✓	✓	$-0.209$	$0$	$0.384235$	Character $\chi_{5915}(108, \cdot)$
1-5915-5915.1083-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1083	$0$	✓	✓	$0.153$	$0$	$1.22252$	Character $\chi_{5915}(1083, \cdot)$
1-5915-5915.1087-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1087	$0$	✓	✓	$-0.265$	$0$	$0.0794140$	Character $\chi_{5915}(1087, \cdot)$
1-5915-5915.1088-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1088	$0$	✓	✓	$-0.489$	$0$	$1.38937$	Character $\chi_{5915}(1088, \cdot)$
1-5915-5915.1089-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1089	$0$	✓	✓	$0.293$	$0$	$1.38389$	Character $\chi_{5915}(1089, \cdot)$
1-5915-5915.1102-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1102	$0$	✓	✓	$0.264$	$0$	$0.442927$	Character $\chi_{5915}(1102, \cdot)$
1-5915-5915.1132-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1132	$0$	✓	✓	$0.0930$	$0$	$0.322457$	Character $\chi_{5915}(1132, \cdot)$
1-5915-5915.1138-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1138	$0$	✓	✓	$-0.0730$	$0$	$0.113192$	Character $\chi_{5915}(1138, \cdot)$
1-5915-5915.1139-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1139	$0$	✓	✓	$0.176$	$0$	$0.701255$	Character $\chi_{5915}(1139, \cdot)$
1-5915-5915.114-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.114	$0$	✓	✓	$-0.345$	$0$	$0.501740$	Character $\chi_{5915}(114, \cdot)$
1-5915-5915.1147-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1147	$0$	✓	✓	$-0.270$	$0$	$0.303234$	Character $\chi_{5915}(1147, \cdot)$
1-5915-5915.1152-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1152	$0$	✓	✓	$0.472$	$0$	$1.02017$	Character $\chi_{5915}(1152, \cdot)$
1-5915-5915.1153-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1153	$0$	✓	✓	$-0.186$	$0$	$0.642105$	Character $\chi_{5915}(1153, \cdot)$
1-5915-5915.1158-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1158	$0$	✓	✓	$-0.0457$	$0$	$0.918988$	Character $\chi_{5915}(1158, \cdot)$
1-5915-5915.1167-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1167	$0$	✓	✓	$0.489$	$0$	$0.246480$	Character $\chi_{5915}(1167, \cdot)$
1-5915-5915.1178-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1178	$0$	✓	✓	$0.333$	$0$	$0.114328$	Character $\chi_{5915}(1178, \cdot)$
1-5915-5915.118-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.118	$0$	✓	✓	$-0.0629$	$0$	$0.711281$	Character $\chi_{5915}(118, \cdot)$
1-5915-5915.1189-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1189	$0$	✓	✓	$0.394$	$0$	$0.561313$	Character $\chi_{5915}(1189, \cdot)$
1-5915-5915.1193-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1193	$0$	✓	✓	$0.123$	$0$	$0.293105$	Character $\chi_{5915}(1193, \cdot)$
1-5915-5915.1199-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1199	$0$	✓	✓	$0.265$	$0$	$0.872351$	Character $\chi_{5915}(1199, \cdot)$
1-5915-5915.12-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.12	$0$	✓	✓	$0.146$	$0$	$1.00650$	Character $\chi_{5915}(12, \cdot)$
1-5915-5915.1214-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1214	$0$	✓	✓	$0.247$	$0$	$0.938763$	Character $\chi_{5915}(1214, \cdot)$
1-5915-5915.1223-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1223	$0$	✓	✓	$-0.305$	$0$	$0.363333$	Character $\chi_{5915}(1223, \cdot)$
1-5915-5915.1224-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1224	$0$	✓	✓	$0.0118$	$0$	$0.703255$	Character $\chi_{5915}(1224, \cdot)$
1-5915-5915.1227-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1227	$0$	✓	✓	$0.128$	$0$	$0.792184$	Character $\chi_{5915}(1227, \cdot)$
1-5915-5915.123-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.123	$0$	✓	✓	$-0.0681$	$0$	$0.580940$	Character $\chi_{5915}(123, \cdot)$
1-5915-5915.1234-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1234	$0$	✓	✓	$-0.131$	$0$	$0.612501$	Character $\chi_{5915}(1234, \cdot)$
1-5915-5915.1238-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1238	$0$	✓	✓	$0.223$	$0$	$0.996344$	Character $\chi_{5915}(1238, \cdot)$
1-5915-5915.124-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.124	$0$	✓	✓	$-0.161$	$0$	$0.365518$	Character $\chi_{5915}(124, \cdot)$
1-5915-5915.1243-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1243	$0$	✓	✓	$-0.159$	$0$	$0.604300$	Character $\chi_{5915}(1243, \cdot)$
1-5915-5915.1252-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1252	$0$	✓	✓	$0.349$	$0$	$1.22766$	Character $\chi_{5915}(1252, \cdot)$
1-5915-5915.1258-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1258	$0$	✓	✓	$0.0283$	$0$	$0.708138$	Character $\chi_{5915}(1258, \cdot)$
1-5915-5915.1259-r0-0-0	$27.4$	$27.4$	$1$	$5 \cdot 7 \cdot 13^{2}$	5915.1259	$0$	✓	✓	$0.406$	$0$	$1.29776$	Character $\chi_{5915}(1259, \cdot)$

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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.