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 246 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1161-1161.1004-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1004	$1$	✓	✓	$-0.0307$	$0$	$1.14839$	Character $\chi_{1161}(1004, \cdot)$
1-1161-1161.101-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.101	$1$	✓	✓	$0.00625$	$0$	$0.430987$	Character $\chi_{1161}(101, \cdot)$
1-1161-1161.1010-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1010	$1$	✓	✓	$0.0294$	$0$	$1.05921$	Character $\chi_{1161}(1010, \cdot)$
1-1161-1161.1013-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1013	$1$	✓	✓	$0.266$	$0$	$0.828910$	Character $\chi_{1161}(1013, \cdot)$
1-1161-1161.1015-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1015	$1$	✓	✓	$0.351$	$0$	$0.874042$	Character $\chi_{1161}(1015, \cdot)$
1-1161-1161.1021-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1021	$1$	✓	✓	$-0.154$	$0$	$0.437288$	Character $\chi_{1161}(1021, \cdot)$
1-1161-1161.1039-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1039	$1$	✓	✓	$0.161$	$0$	$1.42447$	Character $\chi_{1161}(1039, \cdot)$
1-1161-1161.1046-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1046	$1$	✓	✓	$-0.131$	$0$	$0.412686$	Character $\chi_{1161}(1046, \cdot)$
1-1161-1161.1049-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1049	$1$	✓	✓	$-0.0885$	$0$	$0.555606$	Character $\chi_{1161}(1049, \cdot)$
1-1161-1161.1051-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1051	$1$	✓	✓	$0.151$	$0$	$1.12951$	Character $\chi_{1161}(1051, \cdot)$
1-1161-1161.1055-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1055	$1$	✓	✓	$0.0307$	$0$	$0.549046$	Character $\chi_{1161}(1055, \cdot)$
1-1161-1161.106-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.106	$1$	✓	✓	$0.406$	$0$	$0.152675$	Character $\chi_{1161}(106, \cdot)$
1-1161-1161.1060-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1060	$1$	✓	✓	$0.130$	$0$	$0.548269$	Character $\chi_{1161}(1060, \cdot)$
1-1161-1161.1066-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1066	$1$	✓	✓	$-0.151$	$0$	$0.144616$	Character $\chi_{1161}(1066, \cdot)$
1-1161-1161.1067-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1067	$1$	✓	✓	$-0.214$	$0$	$0.0610702$	Character $\chi_{1161}(1067, \cdot)$
1-1161-1161.1069-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1069	$1$	✓	✓	$-0.161$	$0$	$0.490528$	Character $\chi_{1161}(1069, \cdot)$
1-1161-1161.1073-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1073	$1$	✓	✓	$0.00758$	$0$	$0.0156673$	Character $\chi_{1161}(1073, \cdot)$
1-1161-1161.1078-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1078	$1$	✓	✓	$-0.119$	$0$	$0.0994376$	Character $\chi_{1161}(1078, \cdot)$
1-1161-1161.1085-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1085	$1$	✓	✓	$-0.406$	$0$	$0.459882$	Character $\chi_{1161}(1085, \cdot)$
1-1161-1161.1087-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1087	$1$	✓	✓	$0.338$	$0$	$0.913918$	Character $\chi_{1161}(1087, \cdot)$
1-1161-1161.1091-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1091	$1$	✓	✓	$0.214$	$0$	$0.686124$	Character $\chi_{1161}(1091, \cdot)$
1-1161-1161.1093-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1093	$1$	✓	✓	$0.00491$	$0$	$0.273512$	Character $\chi_{1161}(1093, \cdot)$
1-1161-1161.11-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.11	$1$	✓	✓	$0.470$	$0$	$0.00544127$	Character $\chi_{1161}(11, \cdot)$
1-1161-1161.110-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.110	$1$	✓	✓	$-0.0300$	$0$	$0.925513$	Character $\chi_{1161}(110, \cdot)$
1-1161-1161.1100-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1100	$1$	✓	✓	$0.481$	$0$	$0.141292$	Character $\chi_{1161}(1100, \cdot)$
1-1161-1161.1102-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1102	$1$	✓	✓	$0.000968$	$0$	$0.724959$	Character $\chi_{1161}(1102, \cdot)$
1-1161-1161.1105-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1105	$1$	✓	✓	$0.221$	$0$	$1.03779$	Character $\chi_{1161}(1105, \cdot)$
1-1161-1161.1114-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1114	$1$	✓	✓	$0.487$	$0$	$1.54035$	Character $\chi_{1161}(1114, \cdot)$
1-1161-1161.112-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.112	$1$	✓	✓	$-0.185$	$0$	$0.635073$	Character $\chi_{1161}(112, \cdot)$
1-1161-1161.1120-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1120	$1$	✓	✓	$0.242$	$0$	$1.10966$	Character $\chi_{1161}(1120, \cdot)$
1-1161-1161.1123-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1123	$1$	✓	✓	$-0.148$	$0$	$0.363565$	Character $\chi_{1161}(1123, \cdot)$
1-1161-1161.1127-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1127	$1$	✓	✓	$0.0670$	$0$	$0.788876$	Character $\chi_{1161}(1127, \cdot)$
1-1161-1161.1138-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1138	$1$	✓	✓	$-0.130$	$0$	$0.914537$	Character $\chi_{1161}(1138, \cdot)$
1-1161-1161.1139-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1139	$1$	✓	✓	$0.325$	$0$	$0.00788999$	Character $\chi_{1161}(1139, \cdot)$
1-1161-1161.1147-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1147	$1$	✓	✓	$0.119$	$0$	$0.897008$	Character $\chi_{1161}(1147, \cdot)$
1-1161-1161.115-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.115	$1$	✓	✓	$-0.343$	$0$	$1.18494$	Character $\chi_{1161}(115, \cdot)$
1-1161-1161.1150-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1150	$1$	✓	✓	$0.0492$	$0$	$0.787779$	Character $\chi_{1161}(1150, \cdot)$
1-1161-1161.1154-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.1154	$1$	✓	✓	$-0.196$	$0$	$0.275082$	Character $\chi_{1161}(1154, \cdot)$
1-1161-1161.122-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.122	$1$	✓	✓	$-0.233$	$0$	$0.730312$	Character $\chi_{1161}(122, \cdot)$
1-1161-1161.14-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.14	$1$	✓	✓	$-0.168$	$0$	$0.694047$	Character $\chi_{1161}(14, \cdot)$
1-1161-1161.140-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.140	$1$	✓	✓	$-0.233$	$0$	$0.183099$	Character $\chi_{1161}(140, \cdot)$
1-1161-1161.146-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.146	$1$	✓	✓	$-0.0515$	$0$	$0.0874234$	Character $\chi_{1161}(146, \cdot)$
1-1161-1161.148-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.148	$1$	✓	✓	$-0.0519$	$0$	$0.818287$	Character $\chi_{1161}(148, \cdot)$
1-1161-1161.151-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.151	$1$	✓	✓	$-0.242$	$0$	$0.750034$	Character $\chi_{1161}(151, \cdot)$
1-1161-1161.157-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.157	$1$	✓	✓	$-0.406$	$0$	$0.413318$	Character $\chi_{1161}(157, \cdot)$
1-1161-1161.164-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.164	$1$	✓	✓	$0.489$	$0$	$0.210310$	Character $\chi_{1161}(164, \cdot)$
1-1161-1161.166-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.166	$1$	✓	✓	$0.301$	$0$	$0.0949930$	Character $\chi_{1161}(166, \cdot)$
1-1161-1161.167-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.167	$1$	✓	✓	$0.0515$	$0$	$0.978314$	Character $\chi_{1161}(167, \cdot)$
1-1161-1161.175-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.175	$1$	✓	✓	$-0.322$	$0$	$0.147462$	Character $\chi_{1161}(175, \cdot)$
1-1161-1161.176-r1-0-0	$124.$	$124.$	$1$	$3^{3} \cdot 43$	1161.176	$1$	✓	✓	$-0.470$	$0$	$0.463011$	Character $\chi_{1161}(176, \cdot)$

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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.