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 1065 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-3723-3723.1001-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1001	$0$	✓	✓	$0.220$	$0$	$0.734110$	Character $\chi_{3723}(1001, \cdot)$
1-3723-3723.1007-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1007	$0$	✓	✓	$-0.328$	$0$	$0.692875$	Character $\chi_{3723}(1007, \cdot)$
1-3723-3723.101-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.101	$0$	✓	✓	$-0.236$	$0$	$0.790198$	Character $\chi_{3723}(101, \cdot)$
1-3723-3723.1010-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1010	$0$	✓	✓	$0.102$	$0$	$0.828030$	Character $\chi_{3723}(1010, \cdot)$
1-3723-3723.1013-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1013	$0$	✓	✓	$0.210$	$0$	$1.07752$	Character $\chi_{3723}(1013, \cdot)$
1-3723-3723.1025-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1025	$0$	✓	✓	$0.446$	$0$	$1.44065$	Character $\chi_{3723}(1025, \cdot)$
1-3723-3723.1031-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1031	$0$	✓	✓	$-0.391$	$0$	$0.469631$	Character $\chi_{3723}(1031, \cdot)$
1-3723-3723.1034-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1034	$0$	✓	✓	$0.342$	$0$	$1.31726$	Character $\chi_{3723}(1034, \cdot)$
1-3723-3723.104-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.104	$0$	✓	✓	$-0.261$	$0$	$0.657478$	Character $\chi_{3723}(104, \cdot)$
1-3723-3723.1040-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1040	$0$	✓	✓	$0.114$	$0$	$1.12323$	Character $\chi_{3723}(1040, \cdot)$
1-3723-3723.1049-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1049	$0$	✓	✓	$-0.302$	$0$	$0.913424$	Character $\chi_{3723}(1049, \cdot)$
1-3723-3723.1052-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1052	$0$	✓	✓	$0.448$	$0$	$0.0348381$	Character $\chi_{3723}(1052, \cdot)$
1-3723-3723.1067-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1067	$0$	✓	✓	$-0.287$	$0$	$0.430230$	Character $\chi_{3723}(1067, \cdot)$
1-3723-3723.1073-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1073	$0$	✓	✓	$-0.171$	$0$	$0.611614$	Character $\chi_{3723}(1073, \cdot)$
1-3723-3723.1076-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1076	$0$	✓	✓	$0.131$	$0$	$0.653141$	Character $\chi_{3723}(1076, \cdot)$
1-3723-3723.1091-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1091	$0$	✓	✓	$0.444$	$0$	$0.699429$	Character $\chi_{3723}(1091, \cdot)$
1-3723-3723.1094-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1094	$0$	✓	✓	$0.220$	$0$	$1.00984$	Character $\chi_{3723}(1094, \cdot)$
1-3723-3723.1109-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1109	$0$	✓	✓	$-0.105$	$0$	$0.931723$	Character $\chi_{3723}(1109, \cdot)$
1-3723-3723.1121-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1121	$0$	✓	✓	$-0.183$	$0$	$0.898139$	Character $\chi_{3723}(1121, \cdot)$
1-3723-3723.1124-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1124	$0$	✓	✓	$0.178$	$0$	$0.831584$	Character $\chi_{3723}(1124, \cdot)$
1-3723-3723.1127-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1127	$0$	✓	✓	$0.0519$	$0$	$0.810519$	Character $\chi_{3723}(1127, \cdot)$
1-3723-3723.1133-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1133	$0$	✓	✓	$-0.158$	$0$	$0.497135$	Character $\chi_{3723}(1133, \cdot)$
1-3723-3723.1136-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1136	$0$	✓	✓	$-0.207$	$0$	$0.474639$	Character $\chi_{3723}(1136, \cdot)$
1-3723-3723.1145-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1145	$0$	✓	✓	$-0.446$	$0$	$0.427406$	Character $\chi_{3723}(1145, \cdot)$
1-3723-3723.1148-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1148	$0$	✓	✓	$-0.0238$	$0$	$0.664327$	Character $\chi_{3723}(1148, \cdot)$
1-3723-3723.1154-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1154	$0$	✓	✓	$-0.328$	$0$	$0.974321$	Character $\chi_{3723}(1154, \cdot)$
1-3723-3723.1166-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1166	$0$	✓	✓	$0.291$	$0$	$1.55083$	Character $\chi_{3723}(1166, \cdot)$
1-3723-3723.1175-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1175	$0$	✓	✓	$-0.268$	$0$	$0.332389$	Character $\chi_{3723}(1175, \cdot)$
1-3723-3723.1181-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1181	$0$	✓	✓	$0.444$	$0$	$0.330421$	Character $\chi_{3723}(1181, \cdot)$
1-3723-3723.1184-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1184	$0$	✓	✓	$0.256$	$0$	$0.744126$	Character $\chi_{3723}(1184, \cdot)$
1-3723-3723.1187-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1187	$0$	✓	✓	$0.269$	$0$	$0.736346$	Character $\chi_{3723}(1187, \cdot)$
1-3723-3723.1193-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1193	$0$	✓	✓	$0.335$	$0$	$0.184808$	Character $\chi_{3723}(1193, \cdot)$
1-3723-3723.1199-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1199	$0$	✓	✓	$0.00355$	$0$	$0.324715$	Character $\chi_{3723}(1199, \cdot)$
1-3723-3723.1211-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1211	$0$	✓	✓	$0.218$	$0$	$1.04165$	Character $\chi_{3723}(1211, \cdot)$
1-3723-3723.1214-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1214	$0$	✓	✓	$-0.257$	$0$	$0.0398735$	Character $\chi_{3723}(1214, \cdot)$
1-3723-3723.1217-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1217	$0$	✓	✓	$0.113$	$0$	$0.502129$	Character $\chi_{3723}(1217, \cdot)$
1-3723-3723.122-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.122	$0$	✓	✓	$0.244$	$0$	$0.0384987$	Character $\chi_{3723}(122, \cdot)$
1-3723-3723.1220-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1220	$0$	✓	✓	$0.377$	$0$	$1.01786$	Character $\chi_{3723}(1220, \cdot)$
1-3723-3723.1226-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1226	$0$	✓	✓	$-0.315$	$0$	$0.0359945$	Character $\chi_{3723}(1226, \cdot)$
1-3723-3723.1229-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1229	$0$	✓	✓	$-0.0752$	$0$	$0.628170$	Character $\chi_{3723}(1229, \cdot)$
1-3723-3723.1235-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1235	$0$	✓	✓	$-0.342$	$0$	$0.0211835$	Character $\chi_{3723}(1235, \cdot)$
1-3723-3723.1238-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1238	$0$	✓	✓	$-0.0546$	$0$	$0.689234$	Character $\chi_{3723}(1238, \cdot)$
1-3723-3723.1244-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1244	$0$	✓	✓	$0.315$	$0$	$1.42021$	Character $\chi_{3723}(1244, \cdot)$
1-3723-3723.1247-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1247	$0$	✓	✓	$0.206$	$0$	$0.530581$	Character $\chi_{3723}(1247, \cdot)$
1-3723-3723.1253-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1253	$0$	✓	✓	$0.0909$	$0$	$0.819936$	Character $\chi_{3723}(1253, \cdot)$
1-3723-3723.1256-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1256	$0$	✓	✓	$0.102$	$0$	$0.461119$	Character $\chi_{3723}(1256, \cdot)$
1-3723-3723.1262-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1262	$0$	✓	✓	$-0.00866$	$0$	$0.622342$	Character $\chi_{3723}(1262, \cdot)$
1-3723-3723.1265-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1265	$0$	✓	✓	$-0.246$	$0$	$1.47815$	Character $\chi_{3723}(1265, \cdot)$
1-3723-3723.1268-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1268	$0$	✓	✓	$0.00432$	$0$	$0.340174$	Character $\chi_{3723}(1268, \cdot)$
1-3723-3723.1271-r0-0-0	$17.2$	$17.2$	$1$	$3 \cdot 17 \cdot 73$	3723.1271	$0$	✓	✓	$-0.394$	$0$	$0.451258$	Character $\chi_{3723}(1271, \cdot)$

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Classical	Maass
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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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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.