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 (36 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-18e2-324.11-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.11	$0$	✓	✓	$0.00308$	$0$	$0.948739$	Character $\chi_{324}(11, \cdot)$
1-18e2-324.119-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.119	$0$	✓	✓	$0.00308$	$0$	$1.42578$	Character $\chi_{324}(119, \cdot)$
1-18e2-324.131-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.131	$0$	✓	✓	$0.00308$	$0$	$1.22308$	Character $\chi_{324}(131, \cdot)$
1-18e2-324.155-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.155	$0$	✓	✓	$0.330$	$0$	$1.88214$	Character $\chi_{324}(155, \cdot)$
1-18e2-324.167-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.167	$0$	✓	✓	$0.00308$	$0$	$1.23641$	Character $\chi_{324}(167, \cdot)$
1-18e2-324.191-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.191	$0$	✓	✓	$0.441$	$0$	$1.88477$	Character $\chi_{324}(191, \cdot)$
1-18e2-324.203-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.203	$0$	✓	✓	$0.225$	$0$	$1.52717$	Character $\chi_{324}(203, \cdot)$
1-18e2-324.227-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.227	$0$	✓	✓	$0.00308$	$0$	$1.11417$	Character $\chi_{324}(227, \cdot)$
1-18e2-324.23-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.23	$0$	✓	✓	$-0.330$	$0$	$0.565962$	Character $\chi_{324}(23, \cdot)$
1-18e2-324.239-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.239	$0$	✓	✓	$0.336$	$0$	$1.90165$	Character $\chi_{324}(239, \cdot)$
1-18e2-324.263-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.263	$0$	✓	✓	$-0.336$	$0$	$0.519293$	Character $\chi_{324}(263, \cdot)$
1-18e2-324.275-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.275	$0$	✓	✓	$0.00308$	$0$	$1.28146$	Character $\chi_{324}(275, \cdot)$
1-18e2-324.299-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.299	$0$	✓	✓	$0.108$	$0$	$1.62487$	Character $\chi_{324}(299, \cdot)$
1-18e2-324.311-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.311	$0$	✓	✓	$-0.108$	$0$	$1.19175$	Character $\chi_{324}(311, \cdot)$
1-18e2-324.47-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.47	$0$	✓	✓	$0.00308$	$0$	$1.25591$	Character $\chi_{324}(47, \cdot)$
1-18e2-324.59-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.59	$0$	✓	✓	$0.00308$	$0$	$0.964463$	Character $\chi_{324}(59, \cdot)$
1-18e2-324.83-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.83	$0$	✓	✓	$-0.225$	$0$	$0.589155$	Character $\chi_{324}(83, \cdot)$
1-18e2-324.95-r0-0-0	$1.50$	$1.50$	$1$	$2^{2} \cdot 3^{4}$	324.95	$0$	✓	✓	$-0.441$	$0$	$0.0164324$	Character $\chi_{324}(95, \cdot)$
1-18e2-324.103-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.103	$1$	✓	✓	$-0.246$	$0$	$0.619019$	Character $\chi_{324}(103, \cdot)$
1-18e2-324.115-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.115	$1$	✓	✓	$0.246$	$0$	$0.917479$	Character $\chi_{324}(115, \cdot)$
1-18e2-324.139-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.139	$1$	✓	✓	$0.419$	$0$	$1.50197$	Character $\chi_{324}(139, \cdot)$
1-18e2-324.151-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.151	$1$	✓	✓	$0.246$	$0$	$1.42863$	Character $\chi_{324}(151, \cdot)$
1-18e2-324.175-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.175	$1$	✓	✓	$-0.358$	$0$	$0.167318$	Character $\chi_{324}(175, \cdot)$
1-18e2-324.187-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.187	$1$	✓	✓	$0.358$	$0$	$1.29074$	Character $\chi_{324}(187, \cdot)$
1-18e2-324.211-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.211	$1$	✓	✓	$-0.246$	$0$	$0.546771$	Character $\chi_{324}(211, \cdot)$
1-18e2-324.223-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.223	$1$	✓	✓	$-0.0864$	$0$	$0.823001$	Character $\chi_{324}(223, \cdot)$
1-18e2-324.247-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.247	$1$	✓	✓	$0.0864$	$0$	$1.30838$	Character $\chi_{324}(247, \cdot)$
1-18e2-324.259-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.259	$1$	✓	✓	$0.246$	$0$	$1.01681$	Character $\chi_{324}(259, \cdot)$
1-18e2-324.283-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.283	$1$	✓	✓	$-0.0246$	$0$	$0.894360$	Character $\chi_{324}(283, \cdot)$
1-18e2-324.295-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.295	$1$	✓	✓	$-0.308$	$0$	$0.116536$	Character $\chi_{324}(295, \cdot)$
1-18e2-324.31-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.31	$1$	✓	✓	$-0.246$	$0$	$0.219266$	Character $\chi_{324}(31, \cdot)$
1-18e2-324.319-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.319	$1$	✓	✓	$-0.246$	$0$	$0.127959$	Character $\chi_{324}(319, \cdot)$
1-18e2-324.43-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.43	$1$	✓	✓	$0.246$	$0$	$1.23020$	Character $\chi_{324}(43, \cdot)$
1-18e2-324.67-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.67	$1$	✓	✓	$0.308$	$0$	$1.17271$	Character $\chi_{324}(67, \cdot)$
1-18e2-324.7-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.7	$1$	✓	✓	$-0.419$	$0$	$0.153178$	Character $\chi_{324}(7, \cdot)$
1-18e2-324.79-r1-0-0	$34.8$	$34.8$	$1$	$2^{2} \cdot 3^{4}$	324.79	$1$	✓	✓	$0.0246$	$0$	$1.16979$	Character $\chi_{324}(79, \cdot)$

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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.