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arXiv · 2207.10380

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

Keiichiro Nomoto
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Abstract

Let $E_{-D}$ be the elliptic curve $y^2=x^3+Dx$ defined over $K=\mathbb{Q}(i)$ for $D\in K$ 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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Keiichiro Nomoto. 2022-07-21. Lower bound for the 2-adic valuations of central $L$-values of elliptic curves with complex multiplication. https://arxiv.org/abs/2207.10380

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