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 840 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-2675-2675.1002-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1002	$1$	✓	✓	$-0.0438$	$0$	$0.736069$	Character $\chi_{2675}(1002, \cdot)$
1-2675-2675.1003-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1003	$1$	✓	✓	$0.0621$	$0$	$1.10401$	Character $\chi_{2675}(1003, \cdot)$
1-2675-2675.1006-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1006	$1$	✓	✓	$0.277$	$0$	$0.156283$	Character $\chi_{2675}(1006, \cdot)$
1-2675-2675.1009-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1009	$1$	✓	✓	$0.0813$	$0$	$0.291872$	Character $\chi_{2675}(1009, \cdot)$
1-2675-2675.1012-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1012	$1$	✓	✓	$0.454$	$0$	$1.22061$	Character $\chi_{2675}(1012, \cdot)$
1-2675-2675.1014-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1014	$1$	✓	✓	$0.429$	$0$	$0.573027$	Character $\chi_{2675}(1014, \cdot)$
1-2675-2675.102-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.102	$1$	✓	✓	$0.114$	$0$	$0.825972$	Character $\chi_{2675}(102, \cdot)$
1-2675-2675.1021-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1021	$1$	✓	✓	$-0.323$	$0$	$0.538429$	Character $\chi_{2675}(1021, \cdot)$
1-2675-2675.1027-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1027	$1$	✓	✓	$-0.174$	$0$	$0.0185773$	Character $\chi_{2675}(1027, \cdot)$
1-2675-2675.1029-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1029	$1$	✓	✓	$0.339$	$0$	$1.50839$	Character $\chi_{2675}(1029, \cdot)$
1-2675-2675.1031-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1031	$1$	✓	✓	$-0.222$	$0$	$0.386506$	Character $\chi_{2675}(1031, \cdot)$
1-2675-2675.1034-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1034	$1$	✓	✓	$-0.491$	$0$	$0.112482$	Character $\chi_{2675}(1034, \cdot)$
1-2675-2675.1036-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1036	$1$	✓	✓	$-0.296$	$0$	$0.138801$	Character $\chi_{2675}(1036, \cdot)$
1-2675-2675.1038-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1038	$1$	✓	✓	$-0.255$	$0$	$0.207063$	Character $\chi_{2675}(1038, \cdot)$
1-2675-2675.104-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.104	$1$	✓	✓	$0.311$	$0$	$0.926546$	Character $\chi_{2675}(104, \cdot)$
1-2675-2675.1041-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1041	$1$	✓	✓	$0.0272$	$0$	$0.871159$	Character $\chi_{2675}(1041, \cdot)$
1-2675-2675.1042-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1042	$1$	✓	✓	$0.0282$	$0$	$0.471944$	Character $\chi_{2675}(1042, \cdot)$
1-2675-2675.1048-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1048	$1$	✓	✓	$-0.349$	$0$	$0.0407685$	Character $\chi_{2675}(1048, \cdot)$
1-2675-2675.1052-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1052	$1$	✓	✓	$0.371$	$0$	$0.249328$	Character $\chi_{2675}(1052, \cdot)$
1-2675-2675.1053-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1053	$1$	✓	✓	$0.346$	$0$	$0.722099$	Character $\chi_{2675}(1053, \cdot)$
1-2675-2675.1054-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1054	$1$	✓	✓	$-0.493$	$0$	$0.00581743$	Character $\chi_{2675}(1054, \cdot)$
1-2675-2675.1056-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1056	$1$	✓	✓	$-0.0796$	$0$	$0.263741$	Character $\chi_{2675}(1056, \cdot)$
1-2675-2675.1059-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1059	$1$	✓	✓	$0.462$	$0$	$0.787789$	Character $\chi_{2675}(1059, \cdot)$
1-2675-2675.106-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.106	$1$	✓	✓	$-0.0400$	$0$	$0.554613$	Character $\chi_{2675}(106, \cdot)$
1-2675-2675.1061-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1061	$1$	✓	✓	$-0.134$	$0$	$0.442575$	Character $\chi_{2675}(1061, \cdot)$
1-2675-2675.1062-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1062	$1$	✓	✓	$0.00781$	$0$	$0.956548$	Character $\chi_{2675}(1062, \cdot)$
1-2675-2675.1063-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1063	$1$	✓	✓	$0.444$	$0$	$0.357860$	Character $\chi_{2675}(1063, \cdot)$
1-2675-2675.1066-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1066	$1$	✓	✓	$-0.227$	$0$	$0.384606$	Character $\chi_{2675}(1066, \cdot)$
1-2675-2675.1069-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1069	$1$	✓	✓	$0.460$	$0$	$0.865598$	Character $\chi_{2675}(1069, \cdot)$
1-2675-2675.1073-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1073	$1$	✓	✓	$-0.275$	$0$	$1.42358$	Character $\chi_{2675}(1073, \cdot)$
1-2675-2675.1083-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1083	$1$	✓	✓	$-0.248$	$0$	$0.0129591$	Character $\chi_{2675}(1083, \cdot)$
1-2675-2675.109-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.109	$1$	✓	✓	$0.407$	$0$	$1.05178$	Character $\chi_{2675}(109, \cdot)$
1-2675-2675.1091-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1091	$1$	✓	✓	$-0.429$	$0$	$0.0305128$	Character $\chi_{2675}(1091, \cdot)$
1-2675-2675.1094-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1094	$1$	✓	✓	$-0.176$	$0$	$0.476774$	Character $\chi_{2675}(1094, \cdot)$
1-2675-2675.1096-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1096	$1$	✓	✓	$0.441$	$0$	$0.0214511$	Character $\chi_{2675}(1096, \cdot)$
1-2675-2675.1097-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1097	$1$	✓	✓	$0.180$	$0$	$0.898291$	Character $\chi_{2675}(1097, \cdot)$
1-2675-2675.1103-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1103	$1$	✓	✓	$-0.248$	$0$	$1.05468$	Character $\chi_{2675}(1103, \cdot)$
1-2675-2675.1112-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1112	$1$	✓	✓	$-0.0382$	$0$	$0.506050$	Character $\chi_{2675}(1112, \cdot)$
1-2675-2675.1116-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1116	$1$	✓	✓	$0.0813$	$0$	$1.02021$	Character $\chi_{2675}(1116, \cdot)$
1-2675-2675.1117-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1117	$1$	✓	✓	$-0.357$	$0$	$1.28473$	Character $\chi_{2675}(1117, \cdot)$
1-2675-2675.1121-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1121	$1$	✓	✓	$-0.249$	$0$	$0.301979$	Character $\chi_{2675}(1121, \cdot)$
1-2675-2675.1122-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1122	$1$	✓	✓	$-0.425$	$0$	$0.193721$	Character $\chi_{2675}(1122, \cdot)$
1-2675-2675.1123-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1123	$1$	✓	✓	$-0.242$	$0$	$0.0326423$	Character $\chi_{2675}(1123, \cdot)$
1-2675-2675.1127-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1127	$1$	✓	✓	$0.399$	$0$	$0.862530$	Character $\chi_{2675}(1127, \cdot)$
1-2675-2675.1129-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1129	$1$	✓	✓	$-0.207$	$0$	$0.168209$	Character $\chi_{2675}(1129, \cdot)$
1-2675-2675.1136-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1136	$1$	✓	✓	$-0.480$	$0$	$0.293290$	Character $\chi_{2675}(1136, \cdot)$
1-2675-2675.114-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.114	$1$	✓	✓	$-0.0813$	$0$	$0.518220$	Character $\chi_{2675}(114, \cdot)$
1-2675-2675.1141-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1141	$1$	✓	✓	$-0.491$	$0$	$1.42033$	Character $\chi_{2675}(1141, \cdot)$
1-2675-2675.1144-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1144	$1$	✓	✓	$-0.114$	$0$	$1.52158$	Character $\chi_{2675}(1144, \cdot)$
1-2675-2675.1153-r1-0-0	$287.$	$287.$	$1$	$5^{2} \cdot 107$	2675.1153	$1$	✓	✓	$-0.384$	$0$	$0.388621$	Character $\chi_{2675}(1153, \cdot)$

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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.