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 576 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-72e2-5184.1019-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1019	$0$	✓	✓	$0.156$	$0$	$1.01510$	Character $\chi_{5184}(1019, \cdot)$
1-72e2-5184.1021-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1021	$0$	✓	✓	$0.357$	$0$	$0.00623616$	Character $\chi_{5184}(1021, \cdot)$
1-72e2-5184.1067-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1067	$0$	✓	✓	$0.333$	$0$	$1.10302$	Character $\chi_{5184}(1067, \cdot)$
1-72e2-5184.1069-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1069	$0$	✓	✓	$0.152$	$0$	$0.835708$	Character $\chi_{5184}(1069, \cdot)$
1-72e2-5184.1091-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1091	$0$	✓	✓	$0.110$	$0$	$1.08304$	Character $\chi_{5184}(1091, \cdot)$
1-72e2-5184.1093-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1093	$0$	✓	✓	$-0.208$	$0$	$0.225893$	Character $\chi_{5184}(1093, \cdot)$
1-72e2-5184.11-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.11	$0$	✓	✓	$0.475$	$0$	$0.0694075$	Character $\chi_{5184}(11, \cdot)$
1-72e2-5184.1139-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1139	$0$	✓	✓	$0.0661$	$0$	$0.673358$	Character $\chi_{5184}(1139, \cdot)$
1-72e2-5184.1141-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1141	$0$	✓	✓	$-0.468$	$0$	$1.51753$	Character $\chi_{5184}(1141, \cdot)$
1-72e2-5184.1163-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1163	$0$	✓	✓	$-0.302$	$0$	$0.235793$	Character $\chi_{5184}(1163, \cdot)$
1-72e2-5184.1165-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1165	$0$	✓	✓	$0.343$	$0$	$0.894635$	Character $\chi_{5184}(1165, \cdot)$
1-72e2-5184.1211-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1211	$0$	✓	✓	$0.125$	$0$	$0.650251$	Character $\chi_{5184}(1211, \cdot)$
1-72e2-5184.1213-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1213	$0$	✓	✓	$0.333$	$0$	$1.29969$	Character $\chi_{5184}(1213, \cdot)$
1-72e2-5184.1235-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1235	$0$	✓	✓	$0.374$	$0$	$1.13491$	Character $\chi_{5184}(1235, \cdot)$
1-72e2-5184.1237-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1237	$0$	✓	✓	$-0.444$	$0$	$1.55139$	Character $\chi_{5184}(1237, \cdot)$
1-72e2-5184.1283-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1283	$0$	✓	✓	$-0.0310$	$0$	$0.990869$	Character $\chi_{5184}(1283, \cdot)$
1-72e2-5184.1285-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1285	$0$	✓	✓	$0.100$	$0$	$0.959186$	Character $\chi_{5184}(1285, \cdot)$
1-72e2-5184.13-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.13	$0$	✓	✓	$0.343$	$0$	$0.859641$	Character $\chi_{5184}(13, \cdot)$
1-72e2-5184.1307-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1307	$0$	✓	✓	$0.100$	$0$	$0.905393$	Character $\chi_{5184}(1307, \cdot)$
1-72e2-5184.1309-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1309	$0$	✓	✓	$0.468$	$0$	$1.47401$	Character $\chi_{5184}(1309, \cdot)$
1-72e2-5184.131-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.131	$0$	✓	✓	$-0.0310$	$0$	$0.511067$	Character $\chi_{5184}(131, \cdot)$
1-72e2-5184.133-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.133	$0$	✓	✓	$0.322$	$0$	$0.772144$	Character $\chi_{5184}(133, \cdot)$
1-72e2-5184.1355-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1355	$0$	✓	✓	$-0.444$	$0$	$0.423129$	Character $\chi_{5184}(1355, \cdot)$
1-72e2-5184.1357-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1357	$0$	✓	✓	$-0.125$	$0$	$0.713082$	Character $\chi_{5184}(1357, \cdot)$
1-72e2-5184.1379-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1379	$0$	✓	✓	$0.333$	$0$	$1.17817$	Character $\chi_{5184}(1379, \cdot)$
1-72e2-5184.1381-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1381	$0$	✓	✓	$-0.374$	$0$	$1.30428$	Character $\chi_{5184}(1381, \cdot)$
1-72e2-5184.1427-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1427	$0$	✓	✓	$0.343$	$0$	$1.06323$	Character $\chi_{5184}(1427, \cdot)$
1-72e2-5184.1429-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1429	$0$	✓	✓	$0.197$	$0$	$0.975723$	Character $\chi_{5184}(1429, \cdot)$
1-72e2-5184.1451-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1451	$0$	✓	✓	$0.0310$	$0$	$0.607250$	Character $\chi_{5184}(1451, \cdot)$
1-72e2-5184.1453-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1453	$0$	✓	✓	$0.0661$	$0$	$0.871734$	Character $\chi_{5184}(1453, \cdot)$
1-72e2-5184.1499-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1499	$0$	✓	✓	$0.291$	$0$	$1.30136$	Character $\chi_{5184}(1499, \cdot)$
1-72e2-5184.1501-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1501	$0$	✓	✓	$0.110$	$0$	$0.712849$	Character $\chi_{5184}(1501, \cdot)$
1-72e2-5184.1523-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1523	$0$	✓	✓	$-0.347$	$0$	$0.151506$	Character $\chi_{5184}(1523, \cdot)$
1-72e2-5184.1525-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1525	$0$	✓	✓	$0.333$	$0$	$1.35925$	Character $\chi_{5184}(1525, \cdot)$
1-72e2-5184.155-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.155	$0$	✓	✓	$-0.343$	$0$	$0.620934$	Character $\chi_{5184}(155, \cdot)$
1-72e2-5184.157-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.157	$0$	✓	✓	$-0.308$	$0$	$0.484572$	Character $\chi_{5184}(157, \cdot)$
1-72e2-5184.1571-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1571	$0$	✓	✓	$-0.142$	$0$	$0.790311$	Character $\chi_{5184}(1571, \cdot)$
1-72e2-5184.1573-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1573	$0$	✓	✓	$0.156$	$0$	$0.997643$	Character $\chi_{5184}(1573, \cdot)$
1-72e2-5184.1595-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1595	$0$	✓	✓	$0.156$	$0$	$0.843623$	Character $\chi_{5184}(1595, \cdot)$
1-72e2-5184.1597-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1597	$0$	✓	✓	$0.468$	$0$	$1.26926$	Character $\chi_{5184}(1597, \cdot)$
1-72e2-5184.1643-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1643	$0$	✓	✓	$0.000192$	$0$	$0.735668$	Character $\chi_{5184}(1643, \cdot)$
1-72e2-5184.1645-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1645	$0$	✓	✓	$0.374$	$0$	$1.50767$	Character $\chi_{5184}(1645, \cdot)$
1-72e2-5184.1667-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1667	$0$	✓	✓	$0.000192$	$0$	$0.556327$	Character $\chi_{5184}(1667, \cdot)$
1-72e2-5184.1669-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1669	$0$	✓	✓	$0.0140$	$0$	$0.790415$	Character $\chi_{5184}(1669, \cdot)$
1-72e2-5184.1715-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1715	$0$	✓	✓	$0.177$	$0$	$0.928231$	Character $\chi_{5184}(1715, \cdot)$
1-72e2-5184.1717-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1717	$0$	✓	✓	$0.308$	$0$	$1.14019$	Character $\chi_{5184}(1717, \cdot)$
1-72e2-5184.1739-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1739	$0$	✓	✓	$0.142$	$0$	$0.976554$	Character $\chi_{5184}(1739, \cdot)$
1-72e2-5184.1741-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1741	$0$	✓	✓	$0.0106$	$0$	$0.979826$	Character $\chi_{5184}(1741, \cdot)$
1-72e2-5184.1787-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1787	$0$	✓	✓	$0.347$	$0$	$1.29760$	Character $\chi_{5184}(1787, \cdot)$
1-72e2-5184.1789-r0-0-0	$24.0$	$24.0$	$1$	$2^{6} \cdot 3^{4}$	5184.1789	$0$	✓	✓	$0.000192$	$0$	$0.881850$	Character $\chi_{5184}(1789, \cdot)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.