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 132 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1944-1944.1003-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1003	$0.0$	✓	✓	$-0.149$	$0$	$1.61740$	Modular form 1944.1.bh.a.1003.1
2-1944-1944.1051-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1051	$0.0$	✓	✓	$0.00102$	$0$	$0.946047$	Modular form 1944.1.bh.a.1051.1
2-1944-1944.1075-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1075	$0.0$	✓	✓	$0.295$	$0$	$1.23610$	Modular form 1944.1.bh.a.1075.1
2-1944-1944.1123-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1123	$0.0$	✓	✓	$-0.295$	$0$	$0.582606$	Modular form 1944.1.bh.a.1123.1
2-1944-1944.1147-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1147	$0.0$	✓	✓	$0.110$	$0$	$1.28682$	Modular form 1944.1.bh.a.1147.1
2-1944-1944.115-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.115	$0.0$	✓	✓	$-0.184$	$0$	$1.27798$	Modular form 1944.1.bh.a.115.1
2-1944-1944.1195-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1195	$0.0$	✓	✓	$0.260$	$0$	$1.22744$	Modular form 1944.1.bh.a.1195.1
2-1944-1944.1219-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1219	$0.0$	✓	✓	$0.406$	$0$	$1.88084$	Modular form 1944.1.bh.a.1219.1
2-1944-1944.1267-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1267	$0.0$	✓	✓	$0.112$	$0$	$1.58100$	Modular form 1944.1.bh.a.1267.1
2-1944-1944.1291-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1291	$0.0$	✓	✓	$-0.0380$	$0$	$1.42011$	Modular form 1944.1.bh.a.1291.1
2-1944-1944.1339-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1339	$0.0$	✓	✓	$0.0380$	$0$	$0.908018$	Modular form 1944.1.bh.a.1339.1
2-1944-1944.1363-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1363	$0.0$	✓	✓	$0.221$	$0$	$1.31518$	Modular form 1944.1.bh.a.1363.1
2-1944-1944.139-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.139	$0.0$	✓	✓	$-0.0380$	$0$	$1.45203$	Modular form 1944.1.bh.a.139.1
2-1944-1944.1411-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1411	$0.0$	✓	✓	$0.149$	$0$	$2.15273$	Modular form 1944.1.bh.a.1411.1
2-1944-1944.1435-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1435	$0.0$	✓	✓	$0.295$	$0$	$1.81040$	Modular form 1944.1.bh.a.1435.1
2-1944-1944.1483-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1483	$0.0$	✓	✓	$-0.110$	$0$	$0.626268$	Modular form 1944.1.bh.a.1483.1
2-1944-1944.1507-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1507	$0.0$	✓	✓	$-0.0380$	$0$	$1.51924$	Modular form 1944.1.bh.a.1507.1
2-1944-1944.1555-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1555	$0.0$	✓	✓	$0.0380$	$0$	$1.03392$	Modular form 1944.1.bh.a.1555.1
2-1944-1944.1579-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1579	$0.0$	✓	✓	$-0.334$	$0$	$1.10685$	Modular form 1944.1.bh.a.1579.1
2-1944-1944.1627-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1627	$0.0$	✓	✓	$-0.295$	$0$	$0.851709$	Modular form 1944.1.bh.a.1627.1
2-1944-1944.1651-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1651	$0.0$	✓	✓	$-0.482$	$0$	$0.436642$	Modular form 1944.1.bh.a.1651.1
2-1944-1944.1699-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1699	$0.0$	✓	✓	$0.334$	$0$	$1.63659$	Modular form 1944.1.bh.a.1699.1
2-1944-1944.1723-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1723	$0.0$	✓	✓	$0.295$	$0$	$2.19801$	Modular form 1944.1.bh.a.1723.1
2-1944-1944.1771-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1771	$0.0$	✓	✓	$-0.295$	$0$	$2.45530$	Modular form 1944.1.bh.a.1771.1
2-1944-1944.1795-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1795	$0.0$	✓	✓	$0.443$	$0$	$1.84117$	Modular form 1944.1.bh.a.1795.1
2-1944-1944.1843-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1843	$0.0$	✓	✓	$-0.0730$	$0$	$1.52328$	Modular form 1944.1.bh.a.1843.1
2-1944-1944.1867-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1867	$0.0$	✓	✓	$0.0730$	$0$	$1.35374$	Modular form 1944.1.bh.a.1867.1
2-1944-1944.187-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.187	$0.0$	✓	✓	$0.223$	$0$	$2.05649$	Modular form 1944.1.bh.a.187.1
2-1944-1944.1915-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1915	$0.0$	✓	✓	$0.445$	$0$	$2.05920$	Modular form 1944.1.bh.a.1915.1
2-1944-1944.1939-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.1939	$0.0$	✓	✓	$-0.0380$	$0$	$1.00026$	Modular form 1944.1.bh.a.1939.1
2-1944-1944.211-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.211	$0.0$	✓	✓	$-0.0380$	$0$	$0.475367$	Modular form 1944.1.bh.a.211.1
2-1944-1944.259-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.259	$0.0$	✓	✓	$0.0380$	$0$	$1.38649$	Modular form 1944.1.bh.a.259.1
2-1944-1944.283-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.283	$0.0$	✓	✓	$-0.00102$	$0$	$0.903829$	Modular form 1944.1.bh.a.283.1
2-1944-1944.331-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.331	$0.0$	✓	✓	$0.371$	$0$	$1.76294$	Modular form 1944.1.bh.a.331.1
2-1944-1944.355-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.355	$0.0$	✓	✓	$0.184$	$0$	$0.881552$	Modular form 1944.1.bh.a.355.1
2-1944-1944.403-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.403	$0.0$	✓	✓	$-0.332$	$0$	$1.21830$	Modular form 1944.1.bh.a.403.1
2-1944-1944.427-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.427	$0.0$	✓	✓	$0.295$	$0$	$0.292147$	Modular form 1944.1.bh.a.427.1
2-1944-1944.43-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.43	$0.0$	✓	✓	$0.0380$	$0$	$1.54790$	Modular form 1944.1.bh.a.43.1
2-1944-1944.475-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.475	$0.0$	✓	✓	$-0.295$	$0$	$1.23636$	Modular form 1944.1.bh.a.475.1
2-1944-1944.499-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.499	$0.0$	✓	✓	$-0.223$	$0$	$1.29466$	Modular form 1944.1.bh.a.499.1
2-1944-1944.547-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.547	$0.0$	✓	✓	$-0.406$	$0$	$0.522229$	Modular form 1944.1.bh.a.547.1
2-1944-1944.571-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.571	$0.0$	✓	✓	$-0.260$	$0$	$1.02313$	Modular form 1944.1.bh.a.571.1
2-1944-1944.619-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.619	$0.0$	✓	✓	$-0.221$	$0$	$0.797787$	Modular form 1944.1.bh.a.619.1
2-1944-1944.643-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.643	$0.0$	✓	✓	$-0.0380$	$0$	$1.03259$	Modular form 1944.1.bh.a.643.1
2-1944-1944.67-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.67	$0.0$	✓	✓	$-0.445$	$0$	$0.346965$	Modular form 1944.1.bh.a.67.1
2-1944-1944.691-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.691	$0.0$	✓	✓	$0.0380$	$0$	$1.30183$	Modular form 1944.1.bh.a.691.1
2-1944-1944.715-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.715	$0.0$	✓	✓	$-0.112$	$0$	$1.05147$	Modular form 1944.1.bh.a.715.1
2-1944-1944.763-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.763	$0.0$	✓	✓	$0.482$	$0$	$1.54612$	Modular form 1944.1.bh.a.763.1
2-1944-1944.787-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.787	$0.0$	✓	✓	$-0.371$	$0$	$0.303139$	Modular form 1944.1.bh.a.787.1
2-1944-1944.835-c0-0-0	$0.984$	$0.970$	$2$	$2^{3} \cdot 3^{5}$	1944.835	$0.0$	✓	✓	$-0.443$	$0$	$0.735771$	Modular form 1944.1.bh.a.835.1

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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.