The Statement of Mochizuki's Corollary 3.12: Initial Theta Data

Abstract

We show that Mochizuki's initial theta data is computable from an elliptic curve defined over $\mathbb{Q}$. We work out the case of initial theta data for the elliptic curve with Cremona label 11a1 in detail.

arXiv commentThe previously titled "The Statement of Mochizuki's Corollary 3.12, Initial Theta Data, and the First Two Indeterminacies" has split into "The Statement of Mochizuki's Corollary 3.12: Initial Theta Data" and "The Statement of Mochizuki's Corollary 3.12: the First Two Indeterminacies". An updated version of the present article will appear in Ramanujan Journal

References in corpus (1)

• $\ell$-adic images of Galois for elliptic curves over $\mathbb{Q}$