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 454 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1832-1832.1003-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1003	$0$	✓	✓	$0.221$	$0$	$1.35547$	Character $\chi_{1832}(1003, \cdot)$
1-1832-1832.1013-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1013	$0$	✓	✓	$-0.292$	$0$	$0.198350$	Character $\chi_{1832}(1013, \cdot)$
1-1832-1832.1035-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1035	$0$	✓	✓	$-0.446$	$0$	$1.33101$	Character $\chi_{1832}(1035, \cdot)$
1-1832-1832.1037-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1037	$0$	✓	✓	$-0.0178$	$0$	$1.02404$	Character $\chi_{1832}(1037, \cdot)$
1-1832-1832.1043-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1043	$0$	✓	✓	$-0.166$	$0$	$0.603163$	Character $\chi_{1832}(1043, \cdot)$
1-1832-1832.1045-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1045	$0$	✓	✓	$0.156$	$0$	$1.04509$	Character $\chi_{1832}(1045, \cdot)$
1-1832-1832.1059-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1059	$0$	✓	✓	$0.217$	$0$	$0.673918$	Character $\chi_{1832}(1059, \cdot)$
1-1832-1832.1069-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1069	$0$	✓	✓	$0.273$	$0$	$1.21630$	Character $\chi_{1832}(1069, \cdot)$
1-1832-1832.107-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.107	$0$	✓	✓	$0.0105$	$0$	$1.26013$	Character $\chi_{1832}(107, \cdot)$
1-1832-1832.1077-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1077	$0$	✓	✓	$0.0109$	$0$	$0.545334$	Character $\chi_{1832}(1077, \cdot)$
1-1832-1832.1085-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1085	$0$	✓	✓	$-0.184$	$0$	$0.838280$	Character $\chi_{1832}(1085, \cdot)$
1-1832-1832.1091-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1091	$0$	✓	✓	$0.119$	$0$	$0.893161$	Character $\chi_{1832}(1091, \cdot)$
1-1832-1832.1101-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1101	$0$	✓	✓	$-0.312$	$0$	$0.183591$	Character $\chi_{1832}(1101, \cdot)$
1-1832-1832.1107-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1107	$0$	✓	✓	$0.176$	$0$	$1.43105$	Character $\chi_{1832}(1107, \cdot)$
1-1832-1832.1109-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1109	$0$	✓	✓	$-0.0371$	$0$	$0.282894$	Character $\chi_{1832}(1109, \cdot)$
1-1832-1832.1115-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1115	$0$	✓	✓	$0.275$	$0$	$0.995446$	Character $\chi_{1832}(1115, \cdot)$
1-1832-1832.1123-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1123	$0$	✓	✓	$-0.0235$	$0$	$1.32303$	Character $\chi_{1832}(1123, \cdot)$
1-1832-1832.1125-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1125	$0$	✓	✓	$0.0373$	$0$	$0.764813$	Character $\chi_{1832}(1125, \cdot)$
1-1832-1832.1133-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1133	$0$	✓	✓	$-0.0139$	$0$	$1.08358$	Character $\chi_{1832}(1133, \cdot)$
1-1832-1832.1139-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1139	$0$	✓	✓	$-0.477$	$0$	$0.266955$	Character $\chi_{1832}(1139, \cdot)$
1-1832-1832.1141-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1141	$0$	✓	✓	$-0.0770$	$0$	$0.677510$	Character $\chi_{1832}(1141, \cdot)$
1-1832-1832.1147-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1147	$0$	✓	✓	$-0.268$	$0$	$0.0190279$	Character $\chi_{1832}(1147, \cdot)$
1-1832-1832.1149-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1149	$0$	✓	✓	$-0.0835$	$0$	$0.896170$	Character $\chi_{1832}(1149, \cdot)$
1-1832-1832.115-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.115	$0$	✓	✓	$0.268$	$0$	$1.05362$	Character $\chi_{1832}(115, \cdot)$
1-1832-1832.1155-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1155	$0$	✓	✓	$-0.247$	$0$	$0.253643$	Character $\chi_{1832}(1155, \cdot)$
1-1832-1832.1157-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1157	$0$	✓	✓	$-0.221$	$0$	$0.484882$	Character $\chi_{1832}(1157, \cdot)$
1-1832-1832.1163-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1163	$0$	✓	✓	$-0.199$	$0$	$0.353401$	Character $\chi_{1832}(1163, \cdot)$
1-1832-1832.1165-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1165	$0$	✓	✓	$-0.215$	$0$	$0.430157$	Character $\chi_{1832}(1165, \cdot)$
1-1832-1832.1179-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1179	$0$	✓	✓	$-0.0292$	$0$	$0.746991$	Character $\chi_{1832}(1179, \cdot)$
1-1832-1832.1181-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1181	$0$	✓	✓	$0.0295$	$0$	$0.536519$	Character $\chi_{1832}(1181, \cdot)$
1-1832-1832.1189-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1189	$0$	✓	✓	$-0.485$	$0$	$0.0649808$	Character $\chi_{1832}(1189, \cdot)$
1-1832-1832.1195-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1195	$0$	✓	✓	$-0.0305$	$0$	$1.06779$	Character $\chi_{1832}(1195, \cdot)$
1-1832-1832.1205-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1205	$0$	✓	✓	$0.0678$	$0$	$1.21377$	Character $\chi_{1832}(1205, \cdot)$
1-1832-1832.1211-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1211	$0$	✓	✓	$-0.181$	$0$	$0.856372$	Character $\chi_{1832}(1211, \cdot)$
1-1832-1832.1213-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1213	$0$	✓	✓	$-0.285$	$0$	$0.482004$	Character $\chi_{1832}(1213, \cdot)$
1-1832-1832.1219-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1219	$0$	✓	✓	$0.0568$	$0$	$1.17491$	Character $\chi_{1832}(1219, \cdot)$
1-1832-1832.1221-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1221	$0$	✓	✓	$-0.193$	$0$	$0.784570$	Character $\chi_{1832}(1221, \cdot)$
1-1832-1832.123-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.123	$0$	✓	✓	$0.122$	$0$	$0.831613$	Character $\chi_{1832}(123, \cdot)$
1-1832-1832.1235-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1235	$0$	✓	✓	$0.0939$	$0$	$0.880626$	Character $\chi_{1832}(1235, \cdot)$
1-1832-1832.1243-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1243	$0$	✓	✓	$-0.155$	$0$	$0.586852$	Character $\chi_{1832}(1243, \cdot)$
1-1832-1832.1245-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1245	$0$	✓	✓	$0.275$	$0$	$0.253673$	Character $\chi_{1832}(1245, \cdot)$
1-1832-1832.125-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.125	$0$	✓	✓	$0.0788$	$0$	$1.18036$	Character $\chi_{1832}(125, \cdot)$
1-1832-1832.1251-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1251	$0$	✓	✓	$-0.119$	$0$	$0.442416$	Character $\chi_{1832}(1251, \cdot)$
1-1832-1832.1253-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1253	$0$	✓	✓	$0.200$	$0$	$1.18495$	Character $\chi_{1832}(1253, \cdot)$
1-1832-1832.1259-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1259	$0$	✓	✓	$0.183$	$0$	$1.23887$	Character $\chi_{1832}(1259, \cdot)$
1-1832-1832.1267-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1267	$0$	✓	✓	$-0.0105$	$0$	$1.03896$	Character $\chi_{1832}(1267, \cdot)$
1-1832-1832.1277-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1277	$0$	✓	✓	$0.182$	$0$	$0.670202$	Character $\chi_{1832}(1277, \cdot)$
1-1832-1832.1293-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1293	$0$	✓	✓	$0.0850$	$0$	$1.11679$	Character $\chi_{1832}(1293, \cdot)$
1-1832-1832.1307-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.1307	$0$	✓	✓	$0.344$	$0$	$1.54237$	Character $\chi_{1832}(1307, \cdot)$
1-1832-1832.131-r0-0-0	$8.50$	$8.50$	$1$	$2^{3} \cdot 229$	1832.131	$0$	✓	✓	$-0.374$	$0$	$0.0201011$	Character $\chi_{1832}(131, \cdot)$

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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.