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 320 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-5600-5600.1003-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1003	$0$	✓	✓	$0.0396$	$0$	$0.546418$	Character $\chi_{5600}(1003, \cdot)$
1-5600-5600.1011-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1011	$0$	✓	✓	$-0.166$	$0$	$0.762455$	Character $\chi_{5600}(1011, \cdot)$
1-5600-5600.1013-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1013	$0$	✓	✓	$-0.333$	$0$	$0.294063$	Character $\chi_{5600}(1013, \cdot)$
1-5600-5600.1053-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1053	$0$	✓	✓	$-0.0960$	$0$	$0.759833$	Character $\chi_{5600}(1053, \cdot)$
1-5600-5600.1061-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1061	$0$	✓	✓	$-0.217$	$0$	$0.514068$	Character $\chi_{5600}(1061, \cdot)$
1-5600-5600.1077-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1077	$0$	✓	✓	$-0.373$	$0$	$0.555240$	Character $\chi_{5600}(1077, \cdot)$
1-5600-5600.109-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.109	$0$	✓	✓	$-0.469$	$0$	$1.35833$	Character $\chi_{5600}(109, \cdot)$
1-5600-5600.1091-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1091	$0$	✓	✓	$0.123$	$0$	$0.696514$	Character $\chi_{5600}(1091, \cdot)$
1-5600-5600.1133-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1133	$0$	✓	✓	$-0.446$	$0$	$1.23175$	Character $\chi_{5600}(1133, \cdot)$
1-5600-5600.1139-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1139	$0$	✓	✓	$0.293$	$0$	$1.32833$	Character $\chi_{5600}(1139, \cdot)$
1-5600-5600.117-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.117	$0$	✓	✓	$0.0960$	$0$	$0.625806$	Character $\chi_{5600}(117, \cdot)$
1-5600-5600.1179-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1179	$0$	✓	✓	$-0.0335$	$0$	$0.649801$	Character $\chi_{5600}(1179, \cdot)$
1-5600-5600.1187-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1187	$0$	✓	✓	$0.0303$	$0$	$0.625838$	Character $\chi_{5600}(1187, \cdot)$
1-5600-5600.1227-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1227	$0$	✓	✓	$0.469$	$0$	$1.36166$	Character $\chi_{5600}(1227, \cdot)$
1-5600-5600.1229-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1229	$0$	✓	✓	$-0.209$	$0$	$0.500850$	Character $\chi_{5600}(1229, \cdot)$
1-5600-5600.123-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.123	$0$	✓	✓	$0.0328$	$0$	$0.319989$	Character $\chi_{5600}(123, \cdot)$
1-5600-5600.1237-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1237	$0$	✓	✓	$0.166$	$0$	$0.918384$	Character $\chi_{5600}(1237, \cdot)$
1-5600-5600.1259-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1259	$0$	✓	✓	$-0.0637$	$0$	$0.993555$	Character $\chi_{5600}(1259, \cdot)$
1-5600-5600.1269-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1269	$0$	✓	✓	$-0.0403$	$0$	$0.425055$	Character $\chi_{5600}(1269, \cdot)$
1-5600-5600.1277-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1277	$0$	✓	✓	$0.333$	$0$	$1.16890$	Character $\chi_{5600}(1277, \cdot)$
1-5600-5600.1283-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1283	$0$	✓	✓	$0.147$	$0$	$1.02549$	Character $\chi_{5600}(1283, \cdot)$
1-5600-5600.1291-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1291	$0$	✓	✓	$-0.0435$	$0$	$0.728719$	Character $\chi_{5600}(1291, \cdot)$
1-5600-5600.13-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.13	$0$	✓	✓	$0.123$	$0$	$0.725216$	Character $\chi_{5600}(13, \cdot)$
1-5600-5600.131-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.131	$0$	✓	✓	$0.283$	$0$	$0.748533$	Character $\chi_{5600}(131, \cdot)$
1-5600-5600.1333-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1333	$0$	✓	✓	$0.136$	$0$	$0.857942$	Character $\chi_{5600}(1333, \cdot)$
1-5600-5600.1341-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1341	$0$	✓	✓	$0.280$	$0$	$0.761516$	Character $\chi_{5600}(1341, \cdot)$
1-5600-5600.1371-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1371	$0$	✓	✓	$0.446$	$0$	$0.333015$	Character $\chi_{5600}(1371, \cdot)$
1-5600-5600.1381-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1381	$0$	✓	✓	$0.209$	$0$	$0.721980$	Character $\chi_{5600}(1381, \cdot)$
1-5600-5600.139-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.139	$0$	✓	✓	$0.376$	$0$	$1.19927$	Character $\chi_{5600}(139, \cdot)$
1-5600-5600.1413-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1413	$0$	✓	✓	$0.436$	$0$	$1.06821$	Character $\chi_{5600}(1413, \cdot)$
1-5600-5600.1419-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1419	$0$	✓	✓	$-0.403$	$0$	$0.0786243$	Character $\chi_{5600}(1419, \cdot)$
1-5600-5600.1459-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1459	$0$	✓	✓	$-0.106$	$0$	$0.459786$	Character $\chi_{5600}(1459, \cdot)$
1-5600-5600.1467-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1467	$0$	✓	✓	$-0.477$	$0$	$1.54123$	Character $\chi_{5600}(1467, \cdot)$
1-5600-5600.1509-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1509	$0$	✓	✓	$-0.157$	$0$	$0.610942$	Character $\chi_{5600}(1509, \cdot)$
1-5600-5600.1517-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1517	$0$	✓	✓	$0.0335$	$0$	$1.13200$	Character $\chi_{5600}(1517, \cdot)$
1-5600-5600.1523-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1523	$0$	✓	✓	$0.220$	$0$	$0.820308$	Character $\chi_{5600}(1523, \cdot)$
1-5600-5600.1531-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1531	$0$	✓	✓	$-0.153$	$0$	$0.512649$	Character $\chi_{5600}(1531, \cdot)$
1-5600-5600.1539-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1539	$0$	✓	✓	$0.0637$	$0$	$0.653866$	Character $\chi_{5600}(1539, \cdot)$
1-5600-5600.1563-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1563	$0$	✓	✓	$0.279$	$0$	$1.38386$	Character $\chi_{5600}(1563, \cdot)$
1-5600-5600.1571-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1571	$0$	✓	✓	$0.403$	$0$	$1.17240$	Character $\chi_{5600}(1571, \cdot)$
1-5600-5600.1573-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1573	$0$	✓	✓	$-0.143$	$0$	$0.535498$	Character $\chi_{5600}(1573, \cdot)$
1-5600-5600.1613-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1613	$0$	✓	✓	$-0.356$	$0$	$0.139844$	Character $\chi_{5600}(1613, \cdot)$
1-5600-5600.1621-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1621	$0$	✓	✓	$-0.147$	$0$	$0.598631$	Character $\chi_{5600}(1621, \cdot)$
1-5600-5600.163-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.163	$0$	✓	✓	$-0.282$	$0$	$0.514161$	Character $\chi_{5600}(163, \cdot)$
1-5600-5600.1637-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1637	$0$	✓	✓	$-0.0637$	$0$	$0.811932$	Character $\chi_{5600}(1637, \cdot)$
1-5600-5600.1661-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1661	$0$	✓	✓	$-0.0928$	$0$	$0.644483$	Character $\chi_{5600}(1661, \cdot)$
1-5600-5600.171-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.171	$0$	✓	✓	$-0.283$	$0$	$0.387945$	Character $\chi_{5600}(171, \cdot)$
1-5600-5600.173-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.173	$0$	✓	✓	$-0.456$	$0$	$1.08031$	Character $\chi_{5600}(173, \cdot)$
1-5600-5600.1739-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1739	$0$	✓	✓	$-0.103$	$0$	$0.579866$	Character $\chi_{5600}(1739, \cdot)$
1-5600-5600.1747-r0-0-0	$26.0$	$26.0$	$1$	$2^{5} \cdot 5^{2} \cdot 7$	5600.1747	$0$	✓	✓	$0.290$	$0$	$1.20324$	Character $\chi_{5600}(1747, \cdot)$

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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.