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 360 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1375-1375.1009-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1009	$1$	✓	✓	$-0.242$	$0$	$0.217810$	Character $\chi_{1375}(1009, \cdot)$
1-1375-1375.1011-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1011	$1$	✓	✓	$0.303$	$0$	$0.588391$	Character $\chi_{1375}(1011, \cdot)$
1-1375-1375.1014-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1014	$1$	✓	✓	$0.450$	$0$	$0.561304$	Character $\chi_{1375}(1014, \cdot)$
1-1375-1375.1017-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1017	$1$	✓	✓	$-0.435$	$0$	$1.06714$	Character $\chi_{1375}(1017, \cdot)$
1-1375-1375.1019-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1019	$1$	✓	✓	$0.210$	$0$	$0.0441497$	Character $\chi_{1375}(1019, \cdot)$
1-1375-1375.102-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.102	$1$	✓	✓	$0.300$	$0$	$1.05866$	Character $\chi_{1375}(102, \cdot)$
1-1375-1375.1027-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1027	$1$	✓	✓	$-0.292$	$0$	$1.71586$	Character $\chi_{1375}(1027, \cdot)$
1-1375-1375.1028-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1028	$1$	✓	✓	$-0.0792$	$0$	$0.173715$	Character $\chi_{1375}(1028, \cdot)$
1-1375-1375.1029-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1029	$1$	✓	✓	$-0.0185$	$0$	$0.670650$	Character $\chi_{1375}(1029, \cdot)$
1-1375-1375.103-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.103	$1$	✓	✓	$-0.118$	$0$	$0.110847$	Character $\chi_{1375}(103, \cdot)$
1-1375-1375.1031-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1031	$1$	✓	✓	$0.333$	$0$	$0.472961$	Character $\chi_{1375}(1031, \cdot)$
1-1375-1375.1036-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1036	$1$	✓	✓	$-0.249$	$0$	$0.0695638$	Character $\chi_{1375}(1036, \cdot)$
1-1375-1375.1037-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1037	$1$	✓	✓	$-0.207$	$0$	$1.66999$	Character $\chi_{1375}(1037, \cdot)$
1-1375-1375.1038-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1038	$1$	✓	✓	$-0.300$	$0$	$0.376348$	Character $\chi_{1375}(1038, \cdot)$
1-1375-1375.1041-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1041	$1$	✓	✓	$-0.265$	$0$	$0.0138699$	Character $\chi_{1375}(1041, \cdot)$
1-1375-1375.1044-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1044	$1$	✓	✓	$0.371$	$0$	$0.671191$	Character $\chi_{1375}(1044, \cdot)$
1-1375-1375.1048-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1048	$1$	✓	✓	$0.200$	$0$	$1.37408$	Character $\chi_{1375}(1048, \cdot)$
1-1375-1375.106-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.106	$1$	✓	✓	$0.210$	$0$	$0.619626$	Character $\chi_{1375}(106, \cdot)$
1-1375-1375.1064-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1064	$1$	✓	✓	$-0.234$	$0$	$0.375935$	Character $\chi_{1375}(1064, \cdot)$
1-1375-1375.1066-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1066	$1$	✓	✓	$0.496$	$0$	$0.0470090$	Character $\chi_{1375}(1066, \cdot)$
1-1375-1375.1069-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1069	$1$	✓	✓	$0.0185$	$0$	$0.671589$	Character $\chi_{1375}(1069, \cdot)$
1-1375-1375.1072-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1072	$1$	✓	✓	$-0.479$	$0$	$1.13784$	Character $\chi_{1375}(1072, \cdot)$
1-1375-1375.108-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.108	$1$	✓	✓	$-0.320$	$0$	$0.500776$	Character $\chi_{1375}(108, \cdot)$
1-1375-1375.1083-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1083	$1$	✓	✓	$0.364$	$0$	$1.26560$	Character $\chi_{1375}(1083, \cdot)$
1-1375-1375.1084-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1084	$1$	✓	✓	$-0.0505$	$0$	$0.810898$	Character $\chi_{1375}(1084, \cdot)$
1-1375-1375.1086-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1086	$1$	✓	✓	$-0.334$	$0$	$1.08357$	Character $\chi_{1375}(1086, \cdot)$
1-1375-1375.1087-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1087	$1$	✓	✓	$-0.246$	$0$	$0.285034$	Character $\chi_{1375}(1087, \cdot)$
1-1375-1375.109-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.109	$1$	✓	✓	$-0.203$	$0$	$0.484971$	Character $\chi_{1375}(109, \cdot)$
1-1375-1375.1091-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1091	$1$	✓	✓	$-0.0574$	$0$	$0.138606$	Character $\chi_{1375}(1091, \cdot)$
1-1375-1375.1092-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1092	$1$	✓	✓	$-0.0817$	$0$	$0.349050$	Character $\chi_{1375}(1092, \cdot)$
1-1375-1375.1096-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1096	$1$	✓	✓	$0.266$	$0$	$1.11645$	Character $\chi_{1375}(1096, \cdot)$
1-1375-1375.1098-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1098	$1$	✓	✓	$-0.238$	$0$	$0.205304$	Character $\chi_{1375}(1098, \cdot)$
1-1375-1375.1103-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1103	$1$	✓	✓	$-0.125$	$0$	$0.0145725$	Character $\chi_{1375}(1103, \cdot)$
1-1375-1375.1106-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1106	$1$	✓	✓	$-0.0745$	$0$	$0.793072$	Character $\chi_{1375}(1106, \cdot)$
1-1375-1375.1119-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1119	$1$	✓	✓	$0.133$	$0$	$0.872508$	Character $\chi_{1375}(1119, \cdot)$
1-1375-1375.1121-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1121	$1$	✓	✓	$-0.371$	$0$	$0.419155$	Character $\chi_{1375}(1121, \cdot)$
1-1375-1375.1127-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1127	$1$	✓	✓	$-0.246$	$0$	$0.0235333$	Character $\chi_{1375}(1127, \cdot)$
1-1375-1375.1129-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1129	$1$	✓	✓	$-0.333$	$0$	$0.398251$	Character $\chi_{1375}(1129, \cdot)$
1-1375-1375.113-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.113	$1$	✓	✓	$0.492$	$0$	$1.03356$	Character $\chi_{1375}(113, \cdot)$
1-1375-1375.1137-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1137	$1$	✓	✓	$0.000216$	$0$	$0.178485$	Character $\chi_{1375}(1137, \cdot)$
1-1375-1375.1138-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1138	$1$	✓	✓	$-0.261$	$0$	$0.980542$	Character $\chi_{1375}(1138, \cdot)$
1-1375-1375.1139-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1139	$1$	✓	✓	$-0.0425$	$0$	$0.400736$	Character $\chi_{1375}(1139, \cdot)$
1-1375-1375.1141-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1141	$1$	✓	✓	$0.257$	$0$	$0.498158$	Character $\chi_{1375}(1141, \cdot)$
1-1375-1375.1142-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1142	$1$	✓	✓	$-0.320$	$0$	$0.149372$	Character $\chi_{1375}(1142, \cdot)$
1-1375-1375.1146-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1146	$1$	✓	✓	$0.0745$	$0$	$0.832196$	Character $\chi_{1375}(1146, \cdot)$
1-1375-1375.1147-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1147	$1$	✓	✓	$-0.125$	$0$	$0.743049$	Character $\chi_{1375}(1147, \cdot)$
1-1375-1375.1148-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1148	$1$	✓	✓	$-0.192$	$0$	$0.450783$	Character $\chi_{1375}(1148, \cdot)$
1-1375-1375.1153-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1153	$1$	✓	✓	$0.0352$	$0$	$0.784227$	Character $\chi_{1375}(1153, \cdot)$
1-1375-1375.1154-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1154	$1$	✓	✓	$0.228$	$0$	$0.492803$	Character $\chi_{1375}(1154, \cdot)$
1-1375-1375.1158-r1-0-0	$147.$	$147.$	$1$	$5^{3} \cdot 11$	1375.1158	$1$	✓	✓	$-0.0817$	$0$	$0.414175$	Character $\chi_{1375}(1158, \cdot)$

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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.