The Statement of Mochizuki's Corollary 3.12: Initial Theta Data
Number Theory
2025-06-23 v2 Algebraic Geometry
Logic
Abstract
We show that Mochizuki's initial theta data is computable from an elliptic curve defined over . We work out the case of initial theta data for the elliptic curve with Cremona label 11a1 in detail.
Cite
@article{arxiv.2004.13228,
title = {The Statement of Mochizuki's Corollary 3.12: Initial Theta Data},
author = {Taylor Dupuy and Anton Hilado},
journal= {arXiv preprint arXiv:2004.13228},
year = {2025}
}
Comments
The 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