Lower bound for the 2-adic valuations of central L-values of elliptic curves with complex multiplication

2022/07/21 by Nomoto, Keiichiro
#11G40 #FOS: Mathematics #Number Theory (math.NT) #Primary 11G05 #Secondary 11G15

paper · doi:10.48550/arxiv.2207.10380

Abstract

Let E_-D be the elliptic curve y²=x³+Dx defined over K=ℚ(i) for D∈ K which is coprime to 2. In this paper, we give a lower bound for the 2-adic valuation of the algebraic part of the central value of Hecke L-function associated to E_-D.

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