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
1-1183-1183.10-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.10	$1$	✓	✓	$0.0517$	$0$	$0.285599$	Character $\chi_{1183}(10, \cdot)$
1-1183-1183.1000-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1000	$1$	✓	✓	$0.440$	$0$	$0.652800$	Character $\chi_{1183}(1000, \cdot)$
1-1183-1183.1003-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1003	$1$	✓	✓	$-0.378$	$0$	$0.253344$	Character $\chi_{1183}(1003, \cdot)$
1-1183-1183.1004-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1004	$1$	✓	✓	$-0.448$	$0$	$0.366761$	Character $\chi_{1183}(1004, \cdot)$
1-1183-1183.101-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.101	$1$	✓	✓	$0.246$	$0$	$0.449150$	Character $\chi_{1183}(101, \cdot)$
1-1183-1183.1011-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1011	$1$	✓	✓	$0.0448$	$0$	$0.799412$	Character $\chi_{1183}(1011, \cdot)$
1-1183-1183.1012-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1012	$1$	✓	✓	$0.0456$	$0$	$1.00518$	Character $\chi_{1183}(1012, \cdot)$
1-1183-1183.1018-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1018	$1$	✓	✓	$-0.355$	$0$	$0.323027$	Character $\chi_{1183}(1018, \cdot)$
1-1183-1183.1019-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1019	$1$	✓	✓	$-0.367$	$0$	$0.483883$	Character $\chi_{1183}(1019, \cdot)$
1-1183-1183.102-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.102	$1$	✓	✓	$0.365$	$0$	$1.62193$	Character $\chi_{1183}(102, \cdot)$
1-1183-1183.1028-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1028	$1$	✓	✓	$-0.0591$	$0$	$0.432737$	Character $\chi_{1183}(1028, \cdot)$
1-1183-1183.103-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.103	$1$	✓	✓	$-0.328$	$0$	$0.363255$	Character $\chi_{1183}(103, \cdot)$
1-1183-1183.1038-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1038	$1$	✓	✓	$-0.208$	$0$	$0.0800300$	Character $\chi_{1183}(1038, \cdot)$
1-1183-1183.1039-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1039	$1$	✓	✓	$-0.0794$	$0$	$0.433528$	Character $\chi_{1183}(1039, \cdot)$
1-1183-1183.1041-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1041	$1$	✓	✓	$0.0794$	$0$	$0.804638$	Character $\chi_{1183}(1041, \cdot)$
1-1183-1183.1045-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1045	$1$	✓	✓	$-0.0569$	$0$	$1.24923$	Character $\chi_{1183}(1045, \cdot)$
1-1183-1183.1047-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1047	$1$	✓	✓	$0.465$	$0$	$1.40021$	Character $\chi_{1183}(1047, \cdot)$
1-1183-1183.1049-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1049	$1$	✓	✓	$0.0276$	$0$	$0.813551$	Character $\chi_{1183}(1049, \cdot)$
1-1183-1183.1056-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1056	$1$	✓	✓	$-0.457$	$0$	$0.252093$	Character $\chi_{1183}(1056, \cdot)$
1-1183-1183.1059-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1059	$1$	✓	✓	$-0.0416$	$0$	$0.572221$	Character $\chi_{1183}(1059, \cdot)$
1-1183-1183.1061-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1061	$1$	✓	✓	$-0.301$	$0$	$0.662374$	Character $\chi_{1183}(1061, \cdot)$
1-1183-1183.1062-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1062	$1$	✓	✓	$0.0222$	$0$	$0.495805$	Character $\chi_{1183}(1062, \cdot)$
1-1183-1183.1063-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1063	$1$	✓	✓	$0.142$	$0$	$0.693956$	Character $\chi_{1183}(1063, \cdot)$
1-1183-1183.1067-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1067	$1$	✓	✓	$0.488$	$0$	$1.12784$	Character $\chi_{1183}(1067, \cdot)$
1-1183-1183.1068-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1068	$1$	✓	✓	$-0.367$	$0$	$0.434451$	Character $\chi_{1183}(1068, \cdot)$
1-1183-1183.1069-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1069	$1$	✓	✓	$0.412$	$0$	$0.113954$	Character $\chi_{1183}(1069, \cdot)$
1-1183-1183.1070-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1070	$1$	✓	✓	$0.142$	$0$	$1.14617$	Character $\chi_{1183}(1070, \cdot)$
1-1183-1183.1073-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1073	$1$	✓	✓	$-0.0140$	$0$	$0.861638$	Character $\chi_{1183}(1073, \cdot)$
1-1183-1183.1076-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1076	$1$	✓	✓	$0.372$	$0$	$0.923926$	Character $\chi_{1183}(1076, \cdot)$
1-1183-1183.108-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.108	$1$	✓	✓	$-0.281$	$0$	$0.220374$	Character $\chi_{1183}(108, \cdot)$
1-1183-1183.1083-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1083	$1$	✓	✓	$-0.328$	$0$	$0.335843$	Character $\chi_{1183}(1083, \cdot)$
1-1183-1183.1087-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1087	$1$	✓	✓	$-0.212$	$0$	$0.983467$	Character $\chi_{1183}(1087, \cdot)$
1-1183-1183.1088-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1088	$1$	✓	✓	$0.246$	$0$	$0.922045$	Character $\chi_{1183}(1088, \cdot)$
1-1183-1183.109-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.109	$1$	✓	✓	$0.0569$	$0$	$1.04190$	Character $\chi_{1183}(109, \cdot)$
1-1183-1183.1091-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1091	$1$	✓	✓	$0.124$	$0$	$0.615530$	Character $\chi_{1183}(1091, \cdot)$
1-1183-1183.1095-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1095	$1$	✓	✓	$-0.0222$	$0$	$0.257090$	Character $\chi_{1183}(1095, \cdot)$
1-1183-1183.11-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.11	$1$	✓	✓	$0.267$	$0$	$1.11386$	Character $\chi_{1183}(11, \cdot)$
1-1183-1183.1102-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1102	$1$	✓	✓	$-0.0222$	$0$	$0.733475$	Character $\chi_{1183}(1102, \cdot)$
1-1183-1183.1104-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1104	$1$	✓	✓	$-0.311$	$0$	$0.233919$	Character $\chi_{1183}(1104, \cdot)$
1-1183-1183.1109-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1109	$1$	✓	✓	$-0.246$	$0$	$0.712035$	Character $\chi_{1183}(1109, \cdot)$
1-1183-1183.1110-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1110	$1$	✓	✓	$0.434$	$0$	$0.958374$	Character $\chi_{1183}(1110, \cdot)$
1-1183-1183.1119-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1119	$1$	✓	✓	$0.142$	$0$	$0.345638$	Character $\chi_{1183}(1119, \cdot)$
1-1183-1183.1124-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1124	$1$	✓	✓	$-0.367$	$0$	$0.0243858$	Character $\chi_{1183}(1124, \cdot)$
1-1183-1183.1129-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1129	$1$	✓	✓	$-0.0140$	$0$	$0.707639$	Character $\chi_{1183}(1129, \cdot)$
1-1183-1183.1130-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1130	$1$	✓	✓	$-0.0113$	$0$	$0.370487$	Character $\chi_{1183}(1130, \cdot)$
1-1183-1183.1132-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1132	$1$	✓	✓	$-0.488$	$0$	$0.0598793$	Character $\chi_{1183}(1132, \cdot)$
1-1183-1183.1136-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1136	$1$	✓	✓	$-0.447$	$0$	$0.00518342$	Character $\chi_{1183}(1136, \cdot)$
1-1183-1183.1138-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1138	$1$	✓	✓	$-0.395$	$0$	$0.420307$	Character $\chi_{1183}(1138, \cdot)$
1-1183-1183.1140-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1140	$1$	✓	✓	$0.400$	$0$	$0.847007$	Character $\chi_{1183}(1140, \cdot)$
1-1183-1183.1147-r1-0-0	$127.$	$127.$	$1$	$7 \cdot 13^{2}$	1183.1147	$1$	✓	✓	$-0.0315$	$0$	$2.28771$	Character $\chi_{1183}(1147, \cdot)$

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Elliptic curves over $\Q$
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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.