Year: 2026
Type: preprint
Abstract: We prove the Manin constant conjecture for every optimal elliptic curve over $\mathbb{Q}$ and Stevens' Conjectures I and II. Our method adapts Hongbo Yin's congruence argument for cubic roots of modular functions to lifts of modular parametrizations through isogenies, using the unbounded denominators theorem of Calegari, Dimitrov and Tang.
Source: arXiv (Cornell University)
Authors: Chi, Zhuoni, Liu, Shurui, Nie, Ping
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223024533