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 163 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1407-1407.1004-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1004	$1$	✓	✓	$-0.479$	$0$	$0.149896$	Character $\chi_{1407}(1004, \cdot)$
1-1407-1407.1007-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1007	$1$	✓	✓	$0.0998$	$0$	$0.613356$	Character $\chi_{1407}(1007, \cdot)$
1-1407-1407.101-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.101	$1$	✓	✓	$0.420$	$0$	$0.0439072$	Character $\chi_{1407}(101, \cdot)$
1-1407-1407.1013-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1013	$1$	✓	✓	$0.145$	$0$	$0.135280$	Character $\chi_{1407}(1013, \cdot)$
1-1407-1407.1019-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1019	$1$	✓	✓	$0.415$	$0$	$0.738321$	Character $\chi_{1407}(1019, \cdot)$
1-1407-1407.1025-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1025	$1$	✓	✓	$-0.345$	$0$	$1.82126$	Character $\chi_{1407}(1025, \cdot)$
1-1407-1407.1031-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1031	$1$	✓	✓	$0.304$	$0$	$0.0968660$	Character $\chi_{1407}(1031, \cdot)$
1-1407-1407.1040-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1040	$1$	✓	✓	$0.0200$	$0$	$0.618407$	Character $\chi_{1407}(1040, \cdot)$
1-1407-1407.1046-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1046	$1$	✓	✓	$-0.425$	$0$	$0.192103$	Character $\chi_{1407}(1046, \cdot)$
1-1407-1407.1049-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1049	$1$	✓	✓	$0.191$	$0$	$1.12665$	Character $\chi_{1407}(1049, \cdot)$
1-1407-1407.1052-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1052	$1$	✓	✓	$-0.155$	$0$	$0.515867$	Character $\chi_{1407}(1052, \cdot)$
1-1407-1407.1055-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1055	$1$	✓	✓	$-0.375$	$0$	$0.265991$	Character $\chi_{1407}(1055, \cdot)$
1-1407-1407.1061-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1061	$1$	✓	✓	$0.0351$	$0$	$0.295036$	Character $\chi_{1407}(1061, \cdot)$
1-1407-1407.107-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.107	$1$	✓	✓	$-0.258$	$0$	$0.0370748$	Character $\chi_{1407}(107, \cdot)$
1-1407-1407.1082-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1082	$1$	✓	✓	$0.155$	$0$	$0.545703$	Character $\chi_{1407}(1082, \cdot)$
1-1407-1407.1094-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1094	$1$	✓	✓	$-0.280$	$0$	$0.190762$	Character $\chi_{1407}(1094, \cdot)$
1-1407-1407.110-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.110	$1$	✓	✓	$0.363$	$0$	$0.970019$	Character $\chi_{1407}(110, \cdot)$
1-1407-1407.1118-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1118	$1$	✓	✓	$0.0493$	$0$	$0.546199$	Character $\chi_{1407}(1118, \cdot)$
1-1407-1407.1130-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1130	$1$	✓	✓	$-0.352$	$0$	$1.17361$	Character $\chi_{1407}(1130, \cdot)$
1-1407-1407.1133-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1133	$1$	✓	✓	$-0.0296$	$0$	$0.421422$	Character $\chi_{1407}(1133, \cdot)$
1-1407-1407.1136-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1136	$1$	✓	✓	$0.467$	$0$	$0.604493$	Character $\chi_{1407}(1136, \cdot)$
1-1407-1407.1145-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1145	$1$	✓	✓	$-0.221$	$0$	$0.424090$	Character $\chi_{1407}(1145, \cdot)$
1-1407-1407.1151-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1151	$1$	✓	✓	$-0.471$	$0$	$0.0498311$	Character $\chi_{1407}(1151, \cdot)$
1-1407-1407.116-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.116	$1$	✓	✓	$-0.304$	$0$	$1.53113$	Character $\chi_{1407}(116, \cdot)$
1-1407-1407.1178-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1178	$1$	✓	✓	$0.0954$	$0$	$0.668760$	Character $\chi_{1407}(1178, \cdot)$
1-1407-1407.1181-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1181	$1$	✓	✓	$-0.185$	$0$	$0.181593$	Character $\chi_{1407}(1181, \cdot)$
1-1407-1407.1196-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1196	$1$	✓	✓	$-0.134$	$0$	$0.00209258$	Character $\chi_{1407}(1196, \cdot)$
1-1407-1407.1199-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1199	$1$	✓	✓	$0.0199$	$0$	$1.20330$	Character $\chi_{1407}(1199, \cdot)$
1-1407-1407.1202-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1202	$1$	✓	✓	$0.334$	$0$	$0.0188029$	Character $\chi_{1407}(1202, \cdot)$
1-1407-1407.1214-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1214	$1$	✓	✓	$0.185$	$0$	$1.31673$	Character $\chi_{1407}(1214, \cdot)$
1-1407-1407.1217-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1217	$1$	✓	✓	$0.0296$	$0$	$0.160838$	Character $\chi_{1407}(1217, \cdot)$
1-1407-1407.1220-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1220	$1$	✓	✓	$-0.398$	$0$	$0.0624522$	Character $\chi_{1407}(1220, \cdot)$
1-1407-1407.1229-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1229	$1$	✓	✓	$-0.206$	$0$	$1.46986$	Character $\chi_{1407}(1229, \cdot)$
1-1407-1407.1238-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1238	$1$	✓	✓	$-0.191$	$0$	$0.521964$	Character $\chi_{1407}(1238, \cdot)$
1-1407-1407.1241-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1241	$1$	✓	✓	$0.206$	$0$	$0.0905901$	Character $\chi_{1407}(1241, \cdot)$
1-1407-1407.1244-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1244	$1$	✓	✓	$-0.320$	$0$	$0.106199$	Character $\chi_{1407}(1244, \cdot)$
1-1407-1407.125-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.125	$1$	✓	✓	$0.127$	$0$	$0.289430$	Character $\chi_{1407}(125, \cdot)$
1-1407-1407.1256-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1256	$1$	✓	✓	$-0.334$	$0$	$0.962692$	Character $\chi_{1407}(1256, \cdot)$
1-1407-1407.1259-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1259	$1$	✓	✓	$0.115$	$0$	$0.695525$	Character $\chi_{1407}(1259, \cdot)$
1-1407-1407.1262-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1262	$1$	✓	✓	$0.221$	$0$	$1.00371$	Character $\chi_{1407}(1262, \cdot)$
1-1407-1407.1271-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1271	$1$	✓	✓	$0.307$	$0$	$0.584853$	Character $\chi_{1407}(1271, \cdot)$
1-1407-1407.1280-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1280	$1$	✓	✓	$0.165$	$0$	$1.23243$	Character $\chi_{1407}(1280, \cdot)$
1-1407-1407.1283-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1283	$1$	✓	✓	$0.342$	$0$	$1.01396$	Character $\chi_{1407}(1283, \cdot)$
1-1407-1407.1286-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1286	$1$	✓	✓	$0.0715$	$0$	$0.973122$	Character $\chi_{1407}(1286, \cdot)$
1-1407-1407.1292-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1292	$1$	✓	✓	$-0.0199$	$0$	$1.02229$	Character $\chi_{1407}(1292, \cdot)$
1-1407-1407.1301-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1301	$1$	✓	✓	$-0.00823$	$0$	$1.01080$	Character $\chi_{1407}(1301, \cdot)$
1-1407-1407.1307-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1307	$1$	✓	✓	$0.380$	$0$	$0.827640$	Character $\chi_{1407}(1307, \cdot)$
1-1407-1407.1313-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1313	$1$	✓	✓	$-0.445$	$0$	$1.61950$	Character $\chi_{1407}(1313, \cdot)$
1-1407-1407.1319-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1319	$1$	✓	✓	$0.0897$	$0$	$0.763778$	Character $\chi_{1407}(1319, \cdot)$
1-1407-1407.1343-r1-0-0	$151.$	$151.$	$1$	$3 \cdot 7 \cdot 67$	1407.1343	$1$	✓	✓	$0.461$	$0$	$1.31256$	Character $\chi_{1407}(1343, \cdot)$

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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.