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 540 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-3332-3332.1007-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1007	$0$	✓	✓	$0.238$	$0$	$0.770875$	Character $\chi_{3332}(1007, \cdot)$
1-3332-3332.1023-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1023	$0$	✓	✓	$-0.490$	$0$	$0.206908$	Character $\chi_{3332}(1023, \cdot)$
1-3332-3332.1031-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1031	$0$	✓	✓	$0.368$	$0$	$1.23022$	Character $\chi_{3332}(1031, \cdot)$
1-3332-3332.1035-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1035	$0$	✓	✓	$0.217$	$0$	$0.761644$	Character $\chi_{3332}(1035, \cdot)$
1-3332-3332.1039-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1039	$0$	✓	✓	$0.430$	$0$	$0.0250094$	Character $\chi_{3332}(1039, \cdot)$
1-3332-3332.1051-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1051	$0$	✓	✓	$-0.0145$	$0$	$0.503553$	Character $\chi_{3332}(1051, \cdot)$
1-3332-3332.1063-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1063	$0$	✓	✓	$0.494$	$0$	$0.442269$	Character $\chi_{3332}(1063, \cdot)$
1-3332-3332.1067-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1067	$0$	✓	✓	$-0.0510$	$0$	$0.289258$	Character $\chi_{3332}(1067, \cdot)$
1-3332-3332.107-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.107	$0$	✓	✓	$-0.393$	$0$	$0.589178$	Character $\chi_{3332}(107, \cdot)$
1-3332-3332.11-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.11	$0$	✓	✓	$-0.298$	$0$	$0.758235$	Character $\chi_{3332}(11, \cdot)$
1-3332-3332.111-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.111	$0$	✓	✓	$-0.229$	$0$	$0.198039$	Character $\chi_{3332}(111, \cdot)$
1-3332-3332.1115-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1115	$0$	✓	✓	$0.266$	$0$	$1.08083$	Character $\chi_{3332}(1115, \cdot)$
1-3332-3332.1147-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1147	$0$	✓	✓	$0.129$	$0$	$1.26657$	Character $\chi_{3332}(1147, \cdot)$
1-3332-3332.115-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.115	$0$	✓	✓	$-0.238$	$0$	$0.280381$	Character $\chi_{3332}(115, \cdot)$
1-3332-3332.1159-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1159	$0$	✓	✓	$-0.103$	$0$	$0.687749$	Character $\chi_{3332}(1159, \cdot)$
1-3332-3332.1163-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1163	$0$	✓	✓	$-0.273$	$0$	$0.457369$	Character $\chi_{3332}(1163, \cdot)$
1-3332-3332.1187-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1187	$0$	✓	✓	$0.407$	$0$	$1.20032$	Character $\chi_{3332}(1187, \cdot)$
1-3332-3332.1203-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1203	$0$	✓	✓	$-0.472$	$0$	$0.0634813$	Character $\chi_{3332}(1203, \cdot)$
1-3332-3332.1219-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1219	$0$	✓	✓	$0.0803$	$0$	$0.809515$	Character $\chi_{3332}(1219, \cdot)$
1-3332-3332.1223-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1223	$0$	✓	✓	$-0.0289$	$0$	$0.796494$	Character $\chi_{3332}(1223, \cdot)$
1-3332-3332.1227-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1227	$0$	✓	✓	$0.249$	$0$	$0.853107$	Character $\chi_{3332}(1227, \cdot)$
1-3332-3332.1247-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1247	$0$	✓	✓	$0.103$	$0$	$0.944927$	Character $\chi_{3332}(1247, \cdot)$
1-3332-3332.1279-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1279	$0$	✓	✓	$-0.207$	$0$	$0.801289$	Character $\chi_{3332}(1279, \cdot)$
1-3332-3332.1291-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1291	$0$	✓	✓	$0.117$	$0$	$0.886838$	Character $\chi_{3332}(1291, \cdot)$
1-3332-3332.1299-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1299	$0$	✓	✓	$-0.382$	$0$	$0.0159783$	Character $\chi_{3332}(1299, \cdot)$
1-3332-3332.1303-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1303	$0$	✓	✓	$0.0145$	$0$	$0.549093$	Character $\chi_{3332}(1303, \cdot)$
1-3332-3332.1307-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1307	$0$	✓	✓	$-0.115$	$0$	$0.744125$	Character $\chi_{3332}(1307, \cdot)$
1-3332-3332.1331-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1331	$0$	✓	✓	$-0.318$	$0$	$0.338314$	Character $\chi_{3332}(1331, \cdot)$
1-3332-3332.1335-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1335	$0$	✓	✓	$0.249$	$0$	$1.42431$	Character $\chi_{3332}(1335, \cdot)$
1-3332-3332.1347-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1347	$0$	✓	✓	$0.384$	$0$	$1.30480$	Character $\chi_{3332}(1347, \cdot)$
1-3332-3332.1355-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1355	$0$	✓	✓	$0.468$	$0$	$1.32665$	Character $\chi_{3332}(1355, \cdot)$
1-3332-3332.1367-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1367	$0$	✓	✓	$0.0257$	$0$	$0.882164$	Character $\chi_{3332}(1367, \cdot)$
1-3332-3332.1375-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1375	$0$	✓	✓	$0.0916$	$0$	$1.08170$	Character $\chi_{3332}(1375, \cdot)$
1-3332-3332.1383-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1383	$0$	✓	✓	$-0.475$	$0$	$1.18923$	Character $\chi_{3332}(1383, \cdot)$
1-3332-3332.1387-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1387	$0$	✓	✓	$-0.488$	$0$	$1.11678$	Character $\chi_{3332}(1387, \cdot)$
1-3332-3332.1419-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1419	$0$	✓	✓	$-0.0168$	$0$	$0.284117$	Character $\chi_{3332}(1419, \cdot)$
1-3332-3332.1423-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1423	$0$	✓	✓	$-0.178$	$0$	$0.824308$	Character $\chi_{3332}(1423, \cdot)$
1-3332-3332.1427-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1427	$0$	✓	✓	$0.229$	$0$	$1.12158$	Character $\chi_{3332}(1427, \cdot)$
1-3332-3332.1447-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1447	$0$	✓	✓	$-0.249$	$0$	$0.726132$	Character $\chi_{3332}(1447, \cdot)$
1-3332-3332.1467-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1467	$0$	✓	✓	$0.0150$	$0$	$0.564781$	Character $\chi_{3332}(1467, \cdot)$
1-3332-3332.1475-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1475	$0$	✓	✓	$0.0815$	$0$	$0.618673$	Character $\chi_{3332}(1475, \cdot)$
1-3332-3332.1483-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1483	$0$	✓	✓	$-0.00673$	$0$	$0.756412$	Character $\chi_{3332}(1483, \cdot)$
1-3332-3332.1487-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1487	$0$	✓	✓	$0.129$	$0$	$0.826646$	Character $\chi_{3332}(1487, \cdot)$
1-3332-3332.1499-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1499	$0$	✓	✓	$-0.103$	$0$	$0.805906$	Character $\chi_{3332}(1499, \cdot)$
1-3332-3332.1507-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1507	$0$	✓	✓	$0.0145$	$0$	$0.826435$	Character $\chi_{3332}(1507, \cdot)$
1-3332-3332.1511-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1511	$0$	✓	✓	$-0.241$	$0$	$1.87354$	Character $\chi_{3332}(1511, \cdot)$
1-3332-3332.1515-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1515	$0$	✓	✓	$-0.249$	$0$	$0.392262$	Character $\chi_{3332}(1515, \cdot)$
1-3332-3332.1523-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1523	$0$	✓	✓	$-0.468$	$0$	$0.299864$	Character $\chi_{3332}(1523, \cdot)$
1-3332-3332.1527-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1527	$0$	✓	✓	$0.373$	$0$	$0.160217$	Character $\chi_{3332}(1527, \cdot)$
1-3332-3332.1535-r0-0-0	$15.4$	$15.4$	$1$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1535	$0$	✓	✓	$0.307$	$0$	$0.728440$	Character $\chi_{3332}(1535, \cdot)$

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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.