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 99 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero
1-143-143.103-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.103	$0$	$$	$0$	✓	✓	$-0.196$	$0$	$1.07073$
1-143-143.106-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.106	$0$	$$	$0$	✓	✓	$-0.415$	$0$	$0.999152$
1-143-143.108-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.108	$0$	$$	$0$	✓	✓	$-0.290$	$0$	$1.03556$
1-143-143.109-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.109	$0$	$$	$0$	✓	✓	$0.0467$	$0$	$1.31062$
1-143-143.112-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.112	$0$	$$	$0$	✓	✓	$-0.400$	$0$	$0.306414$
1-143-143.113-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.113	$0$	$$	$0$	✓	✓	$0.153$	$0$	$1.87326$
1-143-143.114-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.114	$0$	$$	$0$	✓	✓	$0.0517$	$0$	$2.27926$
1-143-143.123-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.123	$0$	$$	$0$	✓	✓	$0.307$	$0$	$1.77392$
1-143-143.126-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.126	$0$	$$	$0$	✓	✓	$2.99e-5$	$0$	$1.86611$
1-143-143.128-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.128	$0$	$$	$0$	✓	✓	$0.178$	$0$	$1.82279$
1-143-143.138-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.138	$0$	$$	$0$	✓	✓	$0.306$	$0$	$2.37413$
1-143-143.16-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.16	$0$	$$	$0$	✓	✓	$0.0854$	$0$	$1.33746$
1-143-143.18-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.18	$0$	$$	$0$	✓	✓	$-0.114$	$0$	$0.782901$
1-143-143.19-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.19	$0$	$$	$0$	✓	✓	$-0.178$	$0$	$1.48740$
1-143-143.2-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.2	$0$	$$	$0$	✓	✓	$0.392$	$0$	$2.81394$
1-143-143.21-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.21	$0$	$$	$0$	✓	✓	$-0.0467$	$0$	$1.99186$
1-143-143.24-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.24	$0$	$$	$0$	✓	✓	$-0.0140$	$0$	$1.60029$
1-143-143.25-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.25	$0$	$$	$0$	✓	✓	$0.196$	$0$	$1.13377$
1-143-143.28-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.28	$0$	$$	$0$	✓	✓	$0.0993$	$0$	$1.92486$
1-143-143.3-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.3	$0$	$$	$0$	✓	✓	$0.238$	$0$	$2.29506$
1-143-143.32-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.32	$0$	$$	$0$	✓	✓	$-0.339$	$0$	$1.27027$
1-143-143.36-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.36	$0$	$$	$0$	✓	✓	$0.444$	$0$	$0.620826$
1-143-143.38-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.38	$0$	$$	$0$	✓	✓	$0.0427$	$0$	$2.35893$
1-143-143.4-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.4	$0$	$$	$0$	✓	✓	$-0.444$	$0$	$2.43794$
1-143-143.41-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.41	$0$	$$	$0$	✓	✓	$-0.0930$	$0$	$1.23306$
1-143-143.42-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.42	$0$	$$	$0$	✓	✓	$2.99e-5$	$0$	$2.01373$
1-143-143.46-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.46	$0$	$$	$0$	✓	✓	$-0.0993$	$0$	$1.16827$
1-143-143.48-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.48	$0$	$$	$0$	✓	✓	$-0.238$	$0$	$1.12959$
1-143-143.49-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.49	$0$	$$	$0$	✓	✓	$0.290$	$0$	$1.65484$
1-143-143.50-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.50	$0$	$$	$0$	✓	✓	$-0.307$	$0$	$0.628193$
1-143-143.54-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.54	$0$	$$	$0$	✓	✓	$-0.245$	$0$	$0.524098$
1-143-143.57-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.57	$0$	$$	$0$	✓	✓	$-0.306$	$0$	$1.52643$
1-143-143.6-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.6	$0$	$$	$0$	✓	✓	$0.0140$	$0$	$1.18571$
1-143-143.63-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.63	$0$	$$	$0$	✓	✓	$0.499$	$0$	$0.668002$
1-143-143.64-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.64	$0$	$$	$0$	✓	✓	$-0.0427$	$0$	$1.61470$
1-143-143.69-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.69	$0$	$$	$0$	✓	✓	$-0.0517$	$0$	$1.93599$
1-143-143.7-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.7	$0$	$$	$0$	✓	✓	$0.0930$	$0$	$1.68560$
1-143-143.72-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.72	$0$	$$	$0$	✓	✓	$-0.392$	$0$	$1.24376$
1-143-143.73-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.73	$0$	$$	$0$	✓	✓	$-0.207$	$0$	$1.36577$
1-143-143.75-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.75	$0$	$$	$0$	✓	✓	$0.205$	$0$	$1.77769$
1-143-143.76-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.76	$0$	$$	$0$	✓	✓	$0.339$	$0$	$2.62402$
1-143-143.8-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.8	$0$	$$	$0$	✓	✓	$0.114$	$0$	$1.15252$
1-143-143.81-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.81	$0$	$$	$0$	✓	✓	$-0.153$	$0$	$1.44064$
1-143-143.82-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.82	$0$	$$	$0$	✓	✓	$-0.205$	$0$	$1.19913$
1-143-143.83-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.83	$0$	$$	$0$	✓	✓	$0.400$	$0$	$2.53869$
1-143-143.84-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.84	$0$	$$	$0$	✓	✓	$0.499$	$0$	$3.24598$
1-143-143.85-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.85	$0$	$$	$0$	✓	✓	$0.415$	$0$	$2.62415$
1-143-143.9-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.9	$0$	$$	$0$	✓	✓	$-0.0854$	$0$	$0.309166$
1-143-143.96-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.96	$0$	$$	$0$	✓	✓	$0.207$	$0$	$2.16692$
1-143-143.98-r0-0-0	$0.664$	$0.664$	$1$	$11 \cdot 13$	143.98	$0$	$$	$0$	✓	✓	$0.245$	$0$	$1.51752$

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Classical	Maass
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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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Results (1-50 of 99 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.