Semistable models for modular curves and power operations for Morava E-theories of height 2

We construct an integral model for Lubin-Tate curves. These curves arise as moduli of finite subgroups of deformations of formal groups. In particular, they are p-adic completions of the modular curves X-0(p) at a mod-p supersingular point. Our model is semistable in the sense that the only singularities of its special fiber are normal crossings. Given this model, we obtain a uniform presentation for the Dyer-Lashof algebras for Morava E-theories of height 2. These algebras are local moduli of power operations in elliptic cohomology. (C) 2019 Elsevier Inc. All rights reserved.