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 97 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero
1-287-287.10-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.10	$1$	$$	$0$	✓	✓	$-0.308$	$0$	$2.22482$
1-287-287.103-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.103	$1$	$$	$0$	✓	✓	$0.165$	$0$	$1.75531$
1-287-287.109-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.109	$1$	$$	$0$	✓	✓	$-0.117$	$0$	$0.769983$
1-287-287.11-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.11	$1$	$$	$0$	✓	✓	$-0.0453$	$0$	$0.840605$
1-287-287.115-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.115	$1$	$$	$0$	✓	✓	$-0.126$	$0$	$1.15801$
1-287-287.116-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.116	$1$	$$	$0$	✓	✓	$0.188$	$0$	$0.122044$
1-287-287.118-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.118	$1$	$$	$0$	✓	✓	$-0.493$	$0$	$1.15179$
1-287-287.122-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.122	$1$	$$	$0$	✓	✓	$0.186$	$0$	$1.07540$
1-287-287.125-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.125	$1$	$$	$0$	✓	✓	$-0.351$	$0$	$0.548209$
1-287-287.130-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.130	$1$	$$	$0$	✓	✓	$0.249$	$0$	$1.13261$
1-287-287.131-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.131	$1$	$$	$0$	✓	✓	$0.306$	$0$	$1.41612$
1-287-287.132-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.132	$1$	$$	$0$	✓	✓	$0.0536$	$0$	$1.16980$
1-287-287.135-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.135	$1$	$$	$0$	✓	✓	$0.340$	$0$	$0.682488$
1-287-287.137-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.137	$1$	$$	$0$	✓	✓	$0.210$	$0$	$1.53606$
1-287-287.139-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.139	$1$	$$	$0$	✓	✓	$-0.115$	$0$	$0.737817$
1-287-287.142-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.142	$1$	$$	$0$	✓	✓	$0.424$	$0$	$0.324404$
1-287-287.143-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.143	$1$	$$	$0$	✓	✓	$-0.154$	$0$	$0.629823$
1-287-287.146-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.146	$1$	$$	$0$	✓	✓	$-0.420$	$0$	$1.79683$
1-287-287.149-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.149	$1$	$$	$0$	✓	✓	$-0.133$	$0$	$1.02018$
1-287-287.151-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.151	$1$	$$	$0$	✓	✓	$0.0849$	$0$	$0.751231$
1-287-287.158-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.158	$1$	$$	$0$	✓	✓	$-0.0421$	$0$	$1.23508$
1-287-287.159-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.159	$1$	$$	$0$	✓	✓	$0.320$	$0$	$1.68424$
1-287-287.160-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.160	$1$	$$	$0$	✓	✓	$0.494$	$0$	$0.217932$
1-287-287.166-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.166	$1$	$$	$0$	✓	✓	$0.461$	$0$	$1.24494$
1-287-287.170-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.170	$1$	$$	$0$	✓	✓	$-0.249$	$0$	$0.196370$
1-287-287.173-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.173	$1$	$$	$0$	✓	✓	$-0.133$	$0$	$0.305928$
1-287-287.174-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.174	$1$	$$	$0$	✓	✓	$-0.494$	$0$	$1.24839$
1-287-287.177-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.177	$1$	$$	$0$	✓	✓	$0.428$	$0$	$0.576569$
1-287-287.179-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.179	$1$	$$	$0$	✓	✓	$0.191$	$0$	$0.639845$
1-287-287.180-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.180	$1$	$$	$0$	✓	✓	$-0.302$	$0$	$0.109796$
1-287-287.185-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.185	$1$	$$	$0$	✓	✓	$-0.461$	$0$	$0.0152276$
1-287-287.186-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.186	$1$	$$	$0$	✓	✓	$0.0615$	$0$	$0.407199$
1-287-287.187-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.187	$1$	$$	$0$	✓	✓	$0.392$	$0$	$1.74150$
1-287-287.191-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.191	$1$	$$	$0$	✓	✓	$-0.263$	$0$	$0.465803$
1-287-287.193-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.193	$1$	$$	$0$	✓	✓	$0.411$	$0$	$1.97112$
1-287-287.195-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.195	$1$	$$	$0$	✓	✓	$0.210$	$0$	$1.31550$
1-287-287.198-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.198	$1$	$$	$0$	✓	✓	$0.0421$	$0$	$1.03826$
1-287-287.20-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.20	$1$	$$	$0$	✓	✓	$-0.341$	$0$	$2.61180$
1-287-287.201-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.201	$1$	$$	$0$	✓	✓	$0.308$	$0$	$0.00847268$
1-287-287.209-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.209	$1$	$$	$0$	✓	✓	$-0.210$	$0$	$1.12701$
1-287-287.212-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.212	$1$	$$	$0$	✓	✓	$0.104$	$0$	$2.00904$
1-287-287.213-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.213	$1$	$$	$0$	✓	✓	$-0.320$	$0$	$0.242125$
1-287-287.215-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.215	$1$	$$	$0$	✓	✓	$0.318$	$0$	$0.424574$
1-287-287.219-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.219	$1$	$$	$0$	✓	✓	$0.0637$	$0$	$1.30568$
1-287-287.223-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.223	$1$	$$	$0$	✓	✓	$0.115$	$0$	$0.604923$
1-287-287.230-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.230	$1$	$$	$0$	✓	✓	$0.420$	$0$	$0.130865$
1-287-287.233-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.233	$1$	$$	$0$	✓	✓	$-0.0615$	$0$	$0.857645$
1-287-287.235-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.235	$1$	$$	$0$	✓	✓	$0.133$	$0$	$0.566736$
1-287-287.236-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.236	$1$	$$	$0$	✓	✓	$0.0237$	$0$	$0.846341$
1-287-287.237-r1-0-0	$30.8$	$30.8$	$1$	$7 \cdot 41$	287.237	$1$	$$	$0$	✓	✓	$-0.0536$	$0$	$0.571887$

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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.