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 68 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1368-1368.101-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.101	$1$	✓	✓	$-0.419$	$0$	$0.171077$	Character $\chi_{1368}(101, \cdot)$
1-1368-1368.1013-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1013	$1$	✓	✓	$0.303$	$0$	$1.23019$	Character $\chi_{1368}(1013, \cdot)$
1-1368-1368.1019-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1019	$1$	✓	✓	$0.0399$	$0$	$0.826357$	Character $\chi_{1368}(1019, \cdot)$
1-1368-1368.1021-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1021	$1$	✓	✓	$0.130$	$0$	$0.542453$	Character $\chi_{1368}(1021, \cdot)$
1-1368-1368.1037-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1037	$1$	✓	✓	$0.172$	$0$	$1.00105$	Character $\chi_{1368}(1037, \cdot)$
1-1368-1368.1051-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1051	$1$	✓	✓	$0.330$	$0$	$1.00582$	Character $\chi_{1368}(1051, \cdot)$
1-1368-1368.1067-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1067	$1$	✓	✓	$0.194$	$0$	$0.790984$	Character $\chi_{1368}(1067, \cdot)$
1-1368-1368.1075-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1075	$1$	✓	✓	$0.144$	$0$	$0.863811$	Character $\chi_{1368}(1075, \cdot)$
1-1368-1368.1091-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1091	$1$	✓	✓	$0.237$	$0$	$1.13789$	Character $\chi_{1368}(1091, \cdot)$
1-1368-1368.1093-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1093	$1$	✓	✓	$0.0314$	$0$	$0.667254$	Character $\chi_{1368}(1093, \cdot)$
1-1368-1368.1109-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1109	$1$	✓	✓	$0.105$	$0$	$0.525009$	Character $\chi_{1368}(1109, \cdot)$
1-1368-1368.1139-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1139	$1$	✓	✓	$0.361$	$0$	$0.233863$	Character $\chi_{1368}(1139, \cdot)$
1-1368-1368.1147-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1147	$1$	✓	✓	$0.0772$	$0$	$0.640811$	Character $\chi_{1368}(1147, \cdot)$
1-1368-1368.1157-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1157	$1$	✓	✓	$0.0252$	$0$	$0.776288$	Character $\chi_{1368}(1157, \cdot)$
1-1368-1368.1195-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1195	$1$	✓	✓	$0.0530$	$0$	$0.442721$	Character $\chi_{1368}(1195, \cdot)$
1-1368-1368.1211-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1211	$1$	✓	✓	$0.380$	$0$	$1.29232$	Character $\chi_{1368}(1211, \cdot)$
1-1368-1368.1237-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1237	$1$	✓	✓	$0.190$	$0$	$0.746080$	Character $\chi_{1368}(1237, \cdot)$
1-1368-1368.1283-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1283	$1$	✓	✓	$0.281$	$0$	$0.971909$	Character $\chi_{1368}(1283, \cdot)$
1-1368-1368.1285-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1285	$1$	✓	✓	$0.289$	$0$	$1.08903$	Character $\chi_{1368}(1285, \cdot)$
1-1368-1368.13-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.13	$1$	✓	✓	$0.277$	$0$	$0.972858$	Character $\chi_{1368}(13, \cdot)$
1-1368-1368.1301-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1301	$1$	✓	✓	$-0.303$	$0$	$0.469201$	Character $\chi_{1368}(1301, \cdot)$
1-1368-1368.1307-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1307	$1$	✓	✓	$-0.380$	$0$	$0.218653$	Character $\chi_{1368}(1307, \cdot)$
1-1368-1368.1339-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1339	$1$	✓	✓	$-0.275$	$0$	$0.525132$	Character $\chi_{1368}(1339, \cdot)$
1-1368-1368.1357-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.1357	$1$	✓	✓	$0.487$	$0$	$0.179936$	Character $\chi_{1368}(1357, \cdot)$
1-1368-1368.139-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.139	$1$	✓	✓	$-0.446$	$0$	$0.304093$	Character $\chi_{1368}(139, \cdot)$
1-1368-1368.149-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.149	$1$	✓	✓	$0.419$	$0$	$1.10703$	Character $\chi_{1368}(149, \cdot)$
1-1368-1368.155-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.155	$1$	✓	✓	$0.472$	$0$	$0.184928$	Character $\chi_{1368}(155, \cdot)$
1-1368-1368.187-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.187	$1$	✓	✓	$0.446$	$0$	$1.02945$	Character $\chi_{1368}(187, \cdot)$
1-1368-1368.203-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.203	$1$	✓	✓	$-0.472$	$0$	$1.37928$	Character $\chi_{1368}(203, \cdot)$
1-1368-1368.205-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.205	$1$	✓	✓	$-0.130$	$0$	$0.310722$	Character $\chi_{1368}(205, \cdot)$
1-1368-1368.227-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.227	$1$	✓	✓	$-0.361$	$0$	$1.64210$	Character $\chi_{1368}(227, \cdot)$
1-1368-1368.245-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.245	$1$	✓	✓	$0.303$	$0$	$1.06864$	Character $\chi_{1368}(245, \cdot)$
1-1368-1368.283-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.283	$1$	✓	✓	$0.275$	$0$	$1.26946$	Character $\chi_{1368}(283, \cdot)$
1-1368-1368.299-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.299	$1$	✓	✓	$-0.341$	$0$	$0.285020$	Character $\chi_{1368}(299, \cdot)$
1-1368-1368.365-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.365	$1$	✓	✓	$0.216$	$0$	$0.710325$	Character $\chi_{1368}(365, \cdot)$
1-1368-1368.371-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.371	$1$	✓	✓	$-0.440$	$0$	$0.147481$	Character $\chi_{1368}(371, \cdot)$
1-1368-1368.373-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.373	$1$	✓	✓	$-0.487$	$0$	$1.12776$	Character $\chi_{1368}(373, \cdot)$
1-1368-1368.389-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.389	$1$	✓	✓	$-0.0252$	$0$	$0.502511$	Character $\chi_{1368}(389, \cdot)$
1-1368-1368.403-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.403	$1$	✓	✓	$0.243$	$0$	$1.02869$	Character $\chi_{1368}(403, \cdot)$
1-1368-1368.421-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.421	$1$	✓	✓	$-0.277$	$0$	$0.209884$	Character $\chi_{1368}(421, \cdot)$
1-1368-1368.427-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.427	$1$	✓	✓	$-0.0530$	$0$	$0.197574$	Character $\chi_{1368}(427, \cdot)$
1-1368-1368.43-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.43	$1$	✓	✓	$-0.466$	$0$	$1.37557$	Character $\chi_{1368}(43, \cdot)$
1-1368-1368.445-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.445	$1$	✓	✓	$-0.289$	$0$	$0.437329$	Character $\chi_{1368}(445, \cdot)$
1-1368-1368.461-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.461	$1$	✓	✓	$-0.216$	$0$	$0.222225$	Character $\chi_{1368}(461, \cdot)$
1-1368-1368.493-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.493	$1$	✓	✓	$-0.111$	$0$	$0.638687$	Character $\chi_{1368}(493, \cdot)$
1-1368-1368.499-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.499	$1$	✓	✓	$-0.243$	$0$	$0.227290$	Character $\chi_{1368}(499, \cdot)$
1-1368-1368.5-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.5	$1$	✓	✓	$-0.493$	$0$	$0.233080$	Character $\chi_{1368}(5, \cdot)$
1-1368-1368.515-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.515	$1$	✓	✓	$-0.281$	$0$	$0.145443$	Character $\chi_{1368}(515, \cdot)$
1-1368-1368.563-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.563	$1$	✓	✓	$-0.237$	$0$	$0.541983$	Character $\chi_{1368}(563, \cdot)$
1-1368-1368.565-r1-0-0	$147.$	$147.$	$1$	$2^{3} \cdot 3^{2} \cdot 19$	1368.565	$1$	✓	✓	$-0.0919$	$0$	$0.805721$	Character $\chi_{1368}(565, \cdot)$

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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.