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 128 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-60e2-3600.1067-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1067	$1$	✓	✓	$0.125$	$0$	$0.836270$	Character $\chi_{3600}(1067, \cdot)$
1-60e2-3600.1109-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1109	$1$	✓	✓	$-0.210$	$0$	$0.231781$	Character $\chi_{3600}(1109, \cdot)$
1-60e2-3600.1163-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1163	$1$	✓	✓	$0.0397$	$0$	$0.514264$	Character $\chi_{3600}(1163, \cdot)$
1-60e2-3600.1181-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1181	$1$	✓	✓	$-0.305$	$0$	$0.0151528$	Character $\chi_{3600}(1181, \cdot)$
1-60e2-3600.1213-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1213	$1$	✓	✓	$0.164$	$0$	$0.648649$	Character $\chi_{3600}(1213, \cdot)$
1-60e2-3600.1219-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1219	$1$	✓	✓	$-0.249$	$0$	$0.497684$	Character $\chi_{3600}(1219, \cdot)$
1-60e2-3600.1229-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1229	$1$	✓	✓	$0.430$	$0$	$0.954830$	Character $\chi_{3600}(1229, \cdot)$
1-60e2-3600.1237-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1237	$1$	✓	✓	$0.0952$	$0$	$1.03964$	Character $\chi_{3600}(1237, \cdot)$
1-60e2-3600.1283-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1283	$1$	✓	✓	$-0.249$	$0$	$0.182217$	Character $\chi_{3600}(1283, \cdot)$
1-60e2-3600.1291-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1291	$1$	✓	✓	$-0.154$	$0$	$0.219999$	Character $\chi_{3600}(1291, \cdot)$
1-60e2-3600.13-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.13	$1$	✓	✓	$-0.279$	$0$	$0.0433361$	Character $\chi_{3600}(13, \cdot)$
1-60e2-3600.133-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.133	$1$	✓	✓	$0.0697$	$0$	$0.657121$	Character $\chi_{3600}(133, \cdot)$
1-60e2-3600.1339-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1339	$1$	✓	✓	$0.0297$	$0$	$0.615967$	Character $\chi_{3600}(1339, \cdot)$
1-60e2-3600.139-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.139	$1$	✓	✓	$-0.414$	$0$	$0.318677$	Character $\chi_{3600}(139, \cdot)$
1-60e2-3600.1411-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1411	$1$	✓	✓	$0.154$	$0$	$0.695207$	Character $\chi_{3600}(1411, \cdot)$
1-60e2-3600.1427-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1427	$1$	✓	✓	$-0.0397$	$0$	$0.618508$	Character $\chi_{3600}(1427, \cdot)$
1-60e2-3600.1453-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1453	$1$	✓	✓	$-0.0697$	$0$	$0.260081$	Character $\chi_{3600}(1453, \cdot)$
1-60e2-3600.1469-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1469	$1$	✓	✓	$-0.305$	$0$	$0.121101$	Character $\chi_{3600}(1469, \cdot)$
1-60e2-3600.1523-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1523	$1$	✓	✓	$0.404$	$0$	$0.853267$	Character $\chi_{3600}(1523, \cdot)$
1-60e2-3600.1541-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1541	$1$	✓	✓	$0.289$	$0$	$0.874707$	Character $\chi_{3600}(1541, \cdot)$
1-60e2-3600.1573-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1573	$1$	✓	✓	$-0.220$	$0$	$0.463056$	Character $\chi_{3600}(1573, \cdot)$
1-60e2-3600.1579-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1579	$1$	✓	✓	$-0.194$	$0$	$0.397908$	Character $\chi_{3600}(1579, \cdot)$
1-60e2-3600.1589-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1589	$1$	✓	✓	$0.0852$	$0$	$0.690980$	Character $\chi_{3600}(1589, \cdot)$
1-60e2-3600.1597-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1597	$1$	✓	✓	$-0.0697$	$0$	$0.466279$	Character $\chi_{3600}(1597, \cdot)$
1-60e2-3600.1661-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1661	$1$	✓	✓	$-0.289$	$0$	$0.312846$	Character $\chi_{3600}(1661, \cdot)$
1-60e2-3600.1667-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1667	$1$	✓	✓	$-0.305$	$0$	$0.487342$	Character $\chi_{3600}(1667, \cdot)$
1-60e2-3600.1717-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1717	$1$	✓	✓	$0.0697$	$0$	$0.247176$	Character $\chi_{3600}(1717, \cdot)$
1-60e2-3600.1771-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1771	$1$	✓	✓	$0.249$	$0$	$0.767242$	Character $\chi_{3600}(1771, \cdot)$
1-60e2-3600.1787-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1787	$1$	✓	✓	$-0.404$	$0$	$0.148077$	Character $\chi_{3600}(1787, \cdot)$
1-60e2-3600.1813-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1813	$1$	✓	✓	$-0.404$	$0$	$0.236958$	Character $\chi_{3600}(1813, \cdot)$
1-60e2-3600.1829-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1829	$1$	✓	✓	$0.249$	$0$	$0.888152$	Character $\chi_{3600}(1829, \cdot)$
1-60e2-3600.1883-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1883	$1$	✓	✓	$0.0697$	$0$	$0.474952$	Character $\chi_{3600}(1883, \cdot)$
1-60e2-3600.1933-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1933	$1$	✓	✓	$0.194$	$0$	$0.882534$	Character $\chi_{3600}(1933, \cdot)$
1-60e2-3600.1939-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.1939	$1$	✓	✓	$0.210$	$0$	$0.803966$	Character $\chi_{3600}(1939, \cdot)$
1-60e2-3600.2003-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2003	$1$	✓	✓	$-0.0697$	$0$	$0.613315$	Character $\chi_{3600}(2003, \cdot)$
1-60e2-3600.2011-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2011	$1$	✓	✓	$0.0852$	$0$	$0.376690$	Character $\chi_{3600}(2011, \cdot)$
1-60e2-3600.2021-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2021	$1$	✓	✓	$0.305$	$0$	$0.783574$	Character $\chi_{3600}(2021, \cdot)$
1-60e2-3600.2027-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2027	$1$	✓	✓	$0.279$	$0$	$1.21629$	Character $\chi_{3600}(2027, \cdot)$
1-60e2-3600.203-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.203	$1$	✓	✓	$0.305$	$0$	$1.15799$	Character $\chi_{3600}(203, \cdot)$
1-60e2-3600.2059-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2059	$1$	✓	✓	$-0.210$	$0$	$0.260685$	Character $\chi_{3600}(2059, \cdot)$
1-60e2-3600.2077-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2077	$1$	✓	✓	$0.404$	$0$	$0.845799$	Character $\chi_{3600}(2077, \cdot)$
1-60e2-3600.211-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.211	$1$	✓	✓	$-0.289$	$0$	$1.45042$	Character $\chi_{3600}(211, \cdot)$
1-60e2-3600.2131-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2131	$1$	✓	✓	$0.194$	$0$	$0.749455$	Character $\chi_{3600}(2131, \cdot)$
1-60e2-3600.2147-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2147	$1$	✓	✓	$-0.0697$	$0$	$0.464943$	Character $\chi_{3600}(2147, \cdot)$
1-60e2-3600.2173-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2173	$1$	✓	✓	$0.460$	$0$	$1.03096$	Character $\chi_{3600}(2173, \cdot)$
1-60e2-3600.2189-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2189	$1$	✓	✓	$0.154$	$0$	$0.490512$	Character $\chi_{3600}(2189, \cdot)$
1-60e2-3600.221-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.221	$1$	✓	✓	$0.430$	$0$	$1.31677$	Character $\chi_{3600}(221, \cdot)$
1-60e2-3600.2261-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2261	$1$	✓	✓	$-0.470$	$0$	$1.31953$	Character $\chi_{3600}(2261, \cdot)$
1-60e2-3600.227-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.227	$1$	✓	✓	$-0.0952$	$0$	$0.379532$	Character $\chi_{3600}(227, \cdot)$
1-60e2-3600.2309-r1-0-0	$386.$	$386.$	$1$	$2^{4} \cdot 3^{2} \cdot 5^{2}$	3600.2309	$1$	✓	✓	$-0.154$	$0$	$0.0998430$	Character $\chi_{3600}(2309, \cdot)$

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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.