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 672 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-4600-4600.1011-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1011	$0$	✓	✓	$-0.0800$	$0$	$0.763507$	Character $\chi_{4600}(1011, \cdot)$
1-4600-4600.1019-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1019	$0$	✓	✓	$0.0787$	$0$	$0.662580$	Character $\chi_{4600}(1019, \cdot)$
1-4600-4600.1021-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1021	$0$	✓	✓	$0.0499$	$0$	$0.997782$	Character $\chi_{4600}(1021, \cdot)$
1-4600-4600.1061-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1061	$0$	✓	✓	$-0.449$	$0$	$0.583885$	Character $\chi_{4600}(1061, \cdot)$
1-4600-4600.1067-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1067	$0$	✓	✓	$-0.0800$	$0$	$0.543504$	Character $\chi_{4600}(1067, \cdot)$
1-4600-4600.1077-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1077	$0$	✓	✓	$-0.191$	$0$	$0.462322$	Character $\chi_{4600}(1077, \cdot)$
1-4600-4600.1083-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1083	$0$	✓	✓	$0.270$	$0$	$0.970069$	Character $\chi_{4600}(1083, \cdot)$
1-4600-4600.1091-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1091	$0$	✓	✓	$-0.438$	$0$	$0.0225806$	Character $\chi_{4600}(1091, \cdot)$
1-4600-4600.11-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.11	$0$	✓	✓	$-0.296$	$0$	$1.78537$	Character $\chi_{4600}(11, \cdot)$
1-4600-4600.1163-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1163	$0$	✓	✓	$0.422$	$0$	$0.113483$	Character $\chi_{4600}(1163, \cdot)$
1-4600-4600.1171-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1171	$0$	✓	✓	$-0.343$	$0$	$0.500335$	Character $\chi_{4600}(1171, \cdot)$
1-4600-4600.1181-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1181	$0$	✓	✓	$-0.0705$	$0$	$0.684427$	Character $\chi_{4600}(1181, \cdot)$
1-4600-4600.1189-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1189	$0$	✓	✓	$0.0772$	$0$	$0.311137$	Character $\chi_{4600}(1189, \cdot)$
1-4600-4600.1211-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1211	$0$	✓	✓	$-0.150$	$0$	$0.681802$	Character $\chi_{4600}(1211, \cdot)$
1-4600-4600.1213-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1213	$0$	✓	✓	$0.191$	$0$	$0.715265$	Character $\chi_{4600}(1213, \cdot)$
1-4600-4600.1221-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1221	$0$	✓	✓	$0.400$	$0$	$1.19695$	Character $\chi_{4600}(1221, \cdot)$
1-4600-4600.1227-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1227	$0$	✓	✓	$0.289$	$0$	$1.18362$	Character $\chi_{4600}(1227, \cdot)$
1-4600-4600.123-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.123	$0$	✓	✓	$-0.210$	$0$	$0.0908108$	Character $\chi_{4600}(123, \cdot)$
1-4600-4600.1253-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1253	$0$	✓	✓	$-0.0268$	$0$	$0.607292$	Character $\chi_{4600}(1253, \cdot)$
1-4600-4600.1259-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1259	$0$	✓	✓	$0.191$	$0$	$1.39729$	Character $\chi_{4600}(1259, \cdot)$
1-4600-4600.1267-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1267	$0$	✓	✓	$0.270$	$0$	$1.35326$	Character $\chi_{4600}(1267, \cdot)$
1-4600-4600.1269-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1269	$0$	✓	✓	$0.101$	$0$	$0.960554$	Character $\chi_{4600}(1269, \cdot)$
1-4600-4600.1283-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1283	$0$	✓	✓	$-0.299$	$0$	$0.583269$	Character $\chi_{4600}(1283, \cdot)$
1-4600-4600.1323-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1323	$0$	✓	✓	$0.459$	$0$	$0.819255$	Character $\chi_{4600}(1323, \cdot)$
1-4600-4600.1331-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1331	$0$	✓	✓	$-0.369$	$0$	$0.154769$	Character $\chi_{4600}(1331, \cdot)$
1-4600-4600.1333-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1333	$0$	✓	✓	$-0.190$	$0$	$0.148918$	Character $\chi_{4600}(1333, \cdot)$
1-4600-4600.1339-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1339	$0$	✓	✓	$-0.190$	$0$	$0.837197$	Character $\chi_{4600}(1339, \cdot)$
1-4600-4600.1347-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1347	$0$	✓	✓	$0.0327$	$0$	$0.634093$	Character $\chi_{4600}(1347, \cdot)$
1-4600-4600.1363-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1363	$0$	✓	✓	$-0.461$	$0$	$0.340124$	Character $\chi_{4600}(1363, \cdot)$
1-4600-4600.1371-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1371	$0$	✓	✓	$0.0508$	$0$	$0.618241$	Character $\chi_{4600}(1371, \cdot)$
1-4600-4600.1379-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1379	$0$	✓	✓	$0.440$	$0$	$0.0200276$	Character $\chi_{4600}(1379, \cdot)$
1-4600-4600.1389-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1389	$0$	✓	✓	$0.0299$	$0$	$0.907059$	Character $\chi_{4600}(1389, \cdot)$
1-4600-4600.1397-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1397	$0$	✓	✓	$-0.198$	$0$	$0.340119$	Character $\chi_{4600}(1397, \cdot)$
1-4600-4600.141-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.141	$0$	✓	✓	$-0.289$	$0$	$0.355725$	Character $\chi_{4600}(141, \cdot)$
1-4600-4600.1413-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1413	$0$	✓	✓	$0.0612$	$0$	$0.410923$	Character $\chi_{4600}(1413, \cdot)$
1-4600-4600.1421-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1421	$0$	✓	✓	$-0.169$	$0$	$0.191371$	Character $\chi_{4600}(1421, \cdot)$
1-4600-4600.1429-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1429	$0$	✓	✓	$0.0705$	$0$	$0.763917$	Character $\chi_{4600}(1429, \cdot)$
1-4600-4600.1437-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1437	$0$	✓	✓	$-0.136$	$0$	$0.349293$	Character $\chi_{4600}(1437, \cdot)$
1-4600-4600.1459-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1459	$0$	✓	✓	$0.0612$	$0$	$0.676450$	Character $\chi_{4600}(1459, \cdot)$
1-4600-4600.1461-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1461	$0$	✓	✓	$-0.0409$	$0$	$0.423761$	Character $\chi_{4600}(1461, \cdot)$
1-4600-4600.1467-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1467	$0$	✓	✓	$-0.299$	$0$	$1.50241$	Character $\chi_{4600}(1467, \cdot)$
1-4600-4600.147-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.147	$0$	✓	✓	$0.299$	$0$	$0.865698$	Character $\chi_{4600}(147, \cdot)$
1-4600-4600.1477-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1477	$0$	✓	✓	$-0.190$	$0$	$0.530170$	Character $\chi_{4600}(1477, \cdot)$
1-4600-4600.1491-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1491	$0$	✓	✓	$0.468$	$0$	$0.929317$	Character $\chi_{4600}(1491, \cdot)$
1-4600-4600.1517-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1517	$0$	✓	✓	$-0.190$	$0$	$0.562081$	Character $\chi_{4600}(1517, \cdot)$
1-4600-4600.1533-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1533	$0$	✓	✓	$-0.260$	$0$	$0.509258$	Character $\chi_{4600}(1533, \cdot)$
1-4600-4600.1539-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1539	$0$	✓	✓	$-0.363$	$0$	$0.0255643$	Character $\chi_{4600}(1539, \cdot)$
1-4600-4600.1547-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1547	$0$	✓	✓	$0.148$	$0$	$1.05031$	Character $\chi_{4600}(1547, \cdot)$
1-4600-4600.1571-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1571	$0$	✓	✓	$-0.0412$	$0$	$0.887288$	Character $\chi_{4600}(1571, \cdot)$
1-4600-4600.1579-r0-0-0	$21.3$	$21.3$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	4600.1579	$0$	✓	✓	$0.369$	$0$	$1.14649$	Character $\chi_{4600}(1579, \cdot)$

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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.