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 (33 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-260-260.103-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.103	$0$	✓	✓			$-0.338$	$0$	$0.757017$	Character $\chi_{260}(103, \cdot)$
1-260-260.107-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.107	$0$	✓	✓			$-0.285$	$0$	$0.519274$	Character $\chi_{260}(107, \cdot)$
1-260-260.119-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.119	$0$	✓	✓			$0.0792$	$0$	$1.17970$	Character $\chi_{260}(119, \cdot)$
1-260-260.127-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.127	$0$	✓	✓			$-0.0806$	$0$	$1.05148$	Character $\chi_{260}(127, \cdot)$
1-260-260.147-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.147	$0$	✓	✓			$-0.243$	$0$	$0.868366$	Character $\chi_{260}(147, \cdot)$
1-260-260.19-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.19	$0$	✓	✓			$0.327$	$0$	$1.68268$	Character $\chi_{260}(19, \cdot)$
1-260-260.207-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.207	$0$	✓	✓			$0.338$	$0$	$1.94715$	Character $\chi_{260}(207, \cdot)$
1-260-260.219-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.219	$0$	✓	✓			$-0.327$	$0$	$0.106870$	Character $\chi_{260}(219, \cdot)$
1-260-260.23-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.23	$0$	✓	✓			$0.243$	$0$	$2.00925$	Character $\chi_{260}(23, \cdot)$
1-260-260.239-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.239	$0$	✓	✓			$0.0467$	$0$	$1.60731$	Character $\chi_{260}(239, \cdot)$
1-260-260.243-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.243	$0$	✓	✓			$0.285$	$0$	$1.45610$	Character $\chi_{260}(243, \cdot)$
1-260-260.3-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.3	$0$	✓	✓			$0.0379$	$0$	$1.50046$	Character $\chi_{260}(3, \cdot)$
1-260-260.43-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.43	$0$	✓	✓			$0.0806$	$0$	$1.14760$	Character $\chi_{260}(43, \cdot)$
1-260-260.59-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.59	$0$	✓	✓			$-0.0792$	$0$	$1.20987$	Character $\chi_{260}(59, \cdot)$
1-260-260.87-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.87	$0$	✓	✓			$-0.0379$	$0$	$1.56770$	Character $\chi_{260}(87, \cdot)$
1-260-260.99-r0-0-0	$1.20$	$1.20$	$1$	$2^{2} \cdot 5 \cdot 13$	260.99	$0$	✓	✓			$-0.0467$	$0$	$1.36671$	Character $\chi_{260}(99, \cdot)$
1-260-260.123-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.123	$1$	✓	✓			$0.489$	$0$	$1.38612$	Character $\chi_{260}(123, \cdot)$
1-260-260.139-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.139	$1$	✓	✓			$-0.376$	$0$	$0.278111$	Character $\chi_{260}(139, \cdot)$
1-260-260.159-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.159	$1$	✓	✓			$0.376$	$0$	$1.20538$	Character $\chi_{260}(159, \cdot)$
1-260-260.163-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.163	$1$	✓	✓			$0.0826$	$0$	$0.727165$	Character $\chi_{260}(163, \cdot)$
1-260-260.167-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.167	$1$	✓	✓			$-0.489$	$0$	$0.0446602$	Character $\chi_{260}(167, \cdot)$
1-260-260.179-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.179	$1$	✓	✓			$-0.418$	$0$	$1.83444$	Character $\chi_{260}(179, \cdot)$
1-260-260.187-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.187	$1$	✓	✓			$-0.115$	$0$	$0.526133$	Character $\chi_{260}(187, \cdot)$
1-260-260.199-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.199	$1$	✓	✓			$0.418$	$0$	$0.205931$	Character $\chi_{260}(199, \cdot)$
1-260-260.203-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.203	$1$	✓	✓			$0.115$	$0$	$1.38458$	Character $\chi_{260}(203, \cdot)$
1-260-260.223-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.223	$1$	✓	✓			$0.241$	$0$	$1.62082$	Character $\chi_{260}(223, \cdot)$
1-260-260.227-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.227	$1$	✓	✓			$0.165$	$0$	$1.42268$	Character $\chi_{260}(227, \cdot)$
1-260-260.259-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.259	$1$	✓	✓	✓	✓	$0$	$0$	$1.05325$	Character $\chi_{260}(259, \cdot)$
1-260-260.47-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.47	$1$	✓	✓			$-0.208$	$0$	$0.172265$	Character $\chi_{260}(47, \cdot)$
1-260-260.63-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.63	$1$	✓	✓			$-0.165$	$0$	$0.600877$	Character $\chi_{260}(63, \cdot)$
1-260-260.67-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.67	$1$	✓	✓			$-0.0826$	$0$	$0.710279$	Character $\chi_{260}(67, \cdot)$
1-260-260.7-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.7	$1$	✓	✓			$-0.241$	$0$	$0.846499$	Character $\chi_{260}(7, \cdot)$
1-260-260.83-r1-0-0	$27.9$	$27.9$	$1$	$2^{2} \cdot 5 \cdot 13$	260.83	$1$	✓	✓			$0.208$	$0$	$1.15889$	Character $\chi_{260}(83, \cdot)$

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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.