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 240 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1700-1700.1031-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1031	$0$	✓	✓	$0.357$	$0$	$1.38493$	Character $\chi_{1700}(1031, \cdot)$
1-1700-1700.1059-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1059	$0$	✓	✓	$0.191$	$0$	$0.961874$	Character $\chi_{1700}(1059, \cdot)$
1-1700-1700.1063-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1063	$0$	✓	✓	$0.162$	$0$	$0.640604$	Character $\chi_{1700}(1063, \cdot)$
1-1700-1700.1067-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1067	$0$	✓	✓	$0.104$	$0$	$0.528020$	Character $\chi_{1700}(1067, \cdot)$
1-1700-1700.1087-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1087	$0$	✓	✓	$-0.470$	$0$	$1.80281$	Character $\chi_{1700}(1087, \cdot)$
1-1700-1700.1091-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1091	$0$	✓	✓	$0.0596$	$0$	$1.28749$	Character $\chi_{1700}(1091, \cdot)$
1-1700-1700.11-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.11	$0$	✓	✓	$0.117$	$0$	$0.854358$	Character $\chi_{1700}(11, \cdot)$
1-1700-1700.1103-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1103	$0$	✓	✓	$0.0279$	$0$	$0.539655$	Character $\chi_{1700}(1103, \cdot)$
1-1700-1700.1111-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1111	$0$	✓	✓	$-0.0596$	$0$	$1.04952$	Character $\chi_{1700}(1111, \cdot)$
1-1700-1700.1119-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1119	$0$	✓	✓	$0.0627$	$0$	$0.660097$	Character $\chi_{1700}(1119, \cdot)$
1-1700-1700.1147-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1147	$0$	✓	✓	$-0.447$	$0$	$0.0314120$	Character $\chi_{1700}(1147, \cdot)$
1-1700-1700.1159-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1159	$0$	✓	✓	$0.0596$	$0$	$0.773172$	Character $\chi_{1700}(1159, \cdot)$
1-1700-1700.1179-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1179	$0$	✓	✓	$-0.239$	$0$	$0.184019$	Character $\chi_{1700}(1179, \cdot)$
1-1700-1700.1203-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1203	$0$	✓	✓	$0.184$	$0$	$1.05860$	Character $\chi_{1700}(1203, \cdot)$
1-1700-1700.1219-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1219	$0$	✓	✓	$-0.189$	$0$	$0.587941$	Character $\chi_{1700}(1219, \cdot)$
1-1700-1700.1223-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1223	$0$	✓	✓	$0.470$	$0$	$0.314565$	Character $\chi_{1700}(1223, \cdot)$
1-1700-1700.123-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.123	$0$	✓	✓	$-0.174$	$0$	$0.360556$	Character $\chi_{1700}(123, \cdot)$
1-1700-1700.1231-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1231	$0$	✓	✓	$0.0486$	$0$	$1.17658$	Character $\chi_{1700}(1231, \cdot)$
1-1700-1700.1267-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1267	$0$	✓	✓	$0.0924$	$0$	$0.908644$	Character $\chi_{1700}(1267, \cdot)$
1-1700-1700.127-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.127	$0$	✓	✓	$-0.0179$	$0$	$0.555215$	Character $\chi_{1700}(127, \cdot)$
1-1700-1700.1283-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1283	$0$	✓	✓	$0.472$	$0$	$1.75419$	Character $\chi_{1700}(1283, \cdot)$
1-1700-1700.131-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.131	$0$	✓	✓	$0.310$	$0$	$1.23602$	Character $\chi_{1700}(131, \cdot)$
1-1700-1700.1319-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1319	$0$	✓	✓	$0.109$	$0$	$1.49213$	Character $\chi_{1700}(1319, \cdot)$
1-1700-1700.1331-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1331	$0$	✓	✓	$-0.128$	$0$	$0.869471$	Character $\chi_{1700}(1331, \cdot)$
1-1700-1700.1347-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1347	$0$	✓	✓	$0.395$	$0$	$1.53948$	Character $\chi_{1700}(1347, \cdot)$
1-1700-1700.1371-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1371	$0$	✓	✓	$0.437$	$0$	$1.68191$	Character $\chi_{1700}(1371, \cdot)$
1-1700-1700.139-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.139	$0$	✓	✓	$0.499$	$0$	$0.413332$	Character $\chi_{1700}(139, \cdot)$
1-1700-1700.1391-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1391	$0$	✓	✓	$-0.117$	$0$	$0.634384$	Character $\chi_{1700}(1391, \cdot)$
1-1700-1700.1403-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1403	$0$	✓	✓	$0.172$	$0$	$1.21356$	Character $\chi_{1700}(1403, \cdot)$
1-1700-1700.1427-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1427	$0$	✓	✓	$0.470$	$0$	$1.24469$	Character $\chi_{1700}(1427, \cdot)$
1-1700-1700.1431-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1431	$0$	✓	✓	$-0.260$	$0$	$0.130009$	Character $\chi_{1700}(1431, \cdot)$
1-1700-1700.1439-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1439	$0$	✓	✓	$0.117$	$0$	$1.18037$	Character $\chi_{1700}(1439, \cdot)$
1-1700-1700.1447-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1447	$0$	✓	✓	$0.407$	$0$	$1.12302$	Character $\chi_{1700}(1447, \cdot)$
1-1700-1700.1459-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1459	$0$	✓	✓	$-0.117$	$0$	$0.774562$	Character $\chi_{1700}(1459, \cdot)$
1-1700-1700.1483-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1483	$0$	✓	✓	$0.315$	$0$	$0.961542$	Character $\chi_{1700}(1483, \cdot)$
1-1700-1700.1487-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1487	$0$	✓	✓	$0.0420$	$0$	$0.662291$	Character $\chi_{1700}(1487, \cdot)$
1-1700-1700.1491-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1491	$0$	✓	✓	$-0.369$	$0$	$0.270142$	Character $\chi_{1700}(1491, \cdot)$
1-1700-1700.1519-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1519	$0$	✓	✓	$-0.319$	$0$	$0.409427$	Character $\chi_{1700}(1519, \cdot)$
1-1700-1700.1559-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1559	$0$	✓	✓	$-0.369$	$0$	$1.78190$	Character $\chi_{1700}(1559, \cdot)$
1-1700-1700.1563-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1563	$0$	✓	✓	$-0.470$	$0$	$0.234260$	Character $\chi_{1700}(1563, \cdot)$
1-1700-1700.1571-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1571	$0$	✓	✓	$0.128$	$0$	$0.966775$	Character $\chi_{1700}(1571, \cdot)$
1-1700-1700.1583-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1583	$0$	✓	✓	$0.327$	$0$	$1.19848$	Character $\chi_{1700}(1583, \cdot)$
1-1700-1700.159-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.159	$0$	✓	✓	$0.499$	$0$	$1.39975$	Character $\chi_{1700}(159, \cdot)$
1-1700-1700.1591-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1591	$0$	✓	✓	$-0.0707$	$0$	$0.647649$	Character $\chi_{1700}(1591, \cdot)$
1-1700-1700.1623-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1623	$0$	✓	✓	$-0.0179$	$0$	$1.10942$	Character $\chi_{1700}(1623, \cdot)$
1-1700-1700.1639-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1639	$0$	✓	✓	$-0.191$	$0$	$0.176520$	Character $\chi_{1700}(1639, \cdot)$
1-1700-1700.1647-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1647	$0$	✓	✓	$-0.472$	$0$	$0.472810$	Character $\chi_{1700}(1647, \cdot)$
1-1700-1700.1659-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1659	$0$	✓	✓	$-0.0707$	$0$	$0.892597$	Character $\chi_{1700}(1659, \cdot)$
1-1700-1700.1671-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1671	$0$	✓	✓	$-0.0486$	$0$	$0.947257$	Character $\chi_{1700}(1671, \cdot)$
1-1700-1700.1687-r0-0-0	$7.89$	$7.89$	$1$	$2^{2} \cdot 5^{2} \cdot 17$	1700.1687	$0$	✓	✓	$-0.114$	$0$	$0.574549$	Character $\chi_{1700}(1687, \cdot)$

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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.