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

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Results (1-50 of 108 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-297-297.101-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.101	$0$	✓	✓	$0.131$	$0$	$1.23697$	Character $\chi_{297}(101, \cdot)$
1-297-297.103-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.103	$0$	✓	✓	$-0.198$	$0$	$1.14966$	Character $\chi_{297}(103, \cdot)$
1-297-297.115-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.115	$0$	✓	✓	$0.177$	$0$	$1.28857$	Character $\chi_{297}(115, \cdot)$
1-297-297.124-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.124	$0$	✓	✓	$0.198$	$0$	$2.13017$	Character $\chi_{297}(124, \cdot)$
1-297-297.128-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.128	$0$	✓	✓	$0.124$	$0$	$1.58477$	Character $\chi_{297}(128, \cdot)$
1-297-297.130-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.130	$0$	✓	✓	$0.155$	$0$	$1.02044$	Character $\chi_{297}(130, \cdot)$
1-297-297.131-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.131	$0$	✓	✓	$0.314$	$0$	$2.27728$	Character $\chi_{297}(131, \cdot)$
1-297-297.140-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.140	$0$	✓	✓	$0.209$	$0$	$1.23204$	Character $\chi_{297}(140, \cdot)$
1-297-297.148-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.148	$0$	✓	✓	$-0.359$	$0$	$1.10596$	Character $\chi_{297}(148, \cdot)$
1-297-297.149-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.149	$0$	✓	✓	$0.201$	$0$	$1.90293$	Character $\chi_{297}(149, \cdot)$
1-297-297.157-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.157	$0$	✓	✓	$-0.00563$	$0$	$1.36756$	Character $\chi_{297}(157, \cdot)$
1-297-297.16-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.16	$0$	✓	✓	$-0.155$	$0$	$0.905911$	Character $\chi_{297}(16, \cdot)$
1-297-297.164-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.164	$0$	✓	✓	$0.351$	$0$	$1.76313$	Character $\chi_{297}(164, \cdot)$
1-297-297.167-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.167	$0$	✓	✓	$0.0946$	$0$	$1.17509$	Character $\chi_{297}(167, \cdot)$
1-297-297.169-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.169	$0$	✓	✓	$0.338$	$0$	$2.16623$	Character $\chi_{297}(169, \cdot)$
1-297-297.173-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.173	$0$	✓	✓	$-0.0870$	$0$	$1.29505$	Character $\chi_{297}(173, \cdot)$
1-297-297.182-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.182	$0$	✓	✓	$0.238$	$0$	$1.01171$	Character $\chi_{297}(182, \cdot)$
1-297-297.194-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.194	$0$	✓	✓	$0.0870$	$0$	$1.92262$	Character $\chi_{297}(194, \cdot)$
1-297-297.196-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.196	$0$	✓	✓	$-0.307$	$0$	$0.473146$	Character $\chi_{297}(196, \cdot)$
1-297-297.2-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.2	$0$	✓	✓	$-0.201$	$0$	$0.368001$	Character $\chi_{297}(2, \cdot)$
1-297-297.200-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.200	$0$	✓	✓	$-0.201$	$0$	$1.26134$	Character $\chi_{297}(200, \cdot)$
1-297-297.202-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.202	$0$	✓	✓	$-0.198$	$0$	$0.894705$	Character $\chi_{297}(202, \cdot)$
1-297-297.214-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.214	$0$	✓	✓	$-0.155$	$0$	$1.09888$	Character $\chi_{297}(214, \cdot)$
1-297-297.223-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.223	$0$	✓	✓	$-0.468$	$0$	$0.581280$	Character $\chi_{297}(223, \cdot)$
1-297-297.227-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.227	$0$	✓	✓	$-0.209$	$0$	$0.263752$	Character $\chi_{297}(227, \cdot)$
1-297-297.229-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.229	$0$	✓	✓	$0.155$	$0$	$1.71636$	Character $\chi_{297}(229, \cdot)$
1-297-297.230-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.230	$0$	✓	✓	$-0.351$	$0$	$0.405129$	Character $\chi_{297}(230, \cdot)$
1-297-297.239-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.239	$0$	✓	✓	$-0.124$	$0$	$1.40197$	Character $\chi_{297}(239, \cdot)$
1-297-297.247-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.247	$0$	✓	✓	$0.307$	$0$	$1.65939$	Character $\chi_{297}(247, \cdot)$
1-297-297.248-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.248	$0$	✓	✓	$0.201$	$0$	$1.45614$	Character $\chi_{297}(248, \cdot)$
1-297-297.25-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.25	$0$	✓	✓	$0.198$	$0$	$1.26882$	Character $\chi_{297}(25, \cdot)$
1-297-297.256-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.256	$0$	✓	✓	$-0.00563$	$0$	$0.567924$	Character $\chi_{297}(256, \cdot)$
1-297-297.263-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.263	$0$	✓	✓	$-0.314$	$0$	$1.09235$	Character $\chi_{297}(263, \cdot)$
1-297-297.266-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.266	$0$	✓	✓	$-0.238$	$0$	$0.686487$	Character $\chi_{297}(266, \cdot)$
1-297-297.268-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.268	$0$	✓	✓	$0.00563$	$0$	$1.26847$	Character $\chi_{297}(268, \cdot)$
1-297-297.272-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.272	$0$	✓	✓	$-0.0870$	$0$	$0.579030$	Character $\chi_{297}(272, \cdot)$
1-297-297.281-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.281	$0$	✓	✓	$-0.0946$	$0$	$1.06388$	Character $\chi_{297}(281, \cdot)$
1-297-297.29-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.29	$0$	✓	✓	$-0.209$	$0$	$1.18829$	Character $\chi_{297}(29, \cdot)$
1-297-297.293-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.293	$0$	✓	✓	$-0.246$	$0$	$0.407587$	Character $\chi_{297}(293, \cdot)$
1-297-297.295-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.295	$0$	✓	✓	$0.359$	$0$	$2.07004$	Character $\chi_{297}(295, \cdot)$
1-297-297.31-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.31	$0$	✓	✓	$-0.177$	$0$	$1.30357$	Character $\chi_{297}(31, \cdot)$
1-297-297.32-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.32	$0$	✓	✓	$-0.351$	$0$	$0.702816$	Character $\chi_{297}(32, \cdot)$
1-297-297.4-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.4	$0$	✓	✓	$0.468$	$0$	$1.72290$	Character $\chi_{297}(4, \cdot)$
1-297-297.41-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.41	$0$	✓	✓	$0.209$	$0$	$1.34019$	Character $\chi_{297}(41, \cdot)$
1-297-297.49-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.49	$0$	✓	✓	$-0.359$	$0$	$2.50769$	Character $\chi_{297}(49, \cdot)$
1-297-297.50-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.50	$0$	✓	✓	$-0.131$	$0$	$0.871684$	Character $\chi_{297}(50, \cdot)$
1-297-297.58-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.58	$0$	✓	✓	$-0.338$	$0$	$0.877509$	Character $\chi_{297}(58, \cdot)$
1-297-297.65-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.65	$0$	✓	✓	$0.351$	$0$	$1.50585$	Character $\chi_{297}(65, \cdot)$
1-297-297.68-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.68	$0$	✓	✓	$0.0946$	$0$	$1.76482$	Character $\chi_{297}(68, \cdot)$
1-297-297.70-r0-0-0	$1.37$	$1.37$	$1$	$3^{3} \cdot 11$	297.70	$0$	✓	✓	$0.00563$	$0$	$1.24942$	Character $\chi_{297}(70, \cdot)$

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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.