On the Drinfeld modular polynomial \(\Phi_ T(X,Y)\)

DOI10.1006/jnth.1995.1055zbMath0826.11026OpenAlexW2024311660MaRDI QIDQ1892571

Andreas Schweizer

Publication date: 25 July 1995

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1995.1055

zbMATH Keywords

algorithmelliptic curvesDrinfeld modulesmodular polynomialmodular curveBrandt matricessupersingular invariants

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (14)

Drinfeld modular polynomials in higher rank ⋮ On plane models for Drinfeld modular curves ⋮ On component groups of Jacobians of quaternionic modular curves ⋮ On class number relations and intersections over function fields ⋮ On singular and supersingular invariants of Drinfeld modules ⋮ On the Deuring polynomial for Drinfeld modules in Legendre form ⋮ On Rankin triple product \(L\)-functions over function fields: central critical values ⋮ A closed-form expression for the Drinfeld modular polynomial \(\Phi_{T}(X,Y)\) ⋮ A proof of a conjecture by Schweizer on the Drinfeld modular polynomial \(\varPhi _T(X,Y)\) ⋮ On explicit formulas for the modular equation ⋮ Invariants of some algebraic curves related to Drinfeld modular curves ⋮ On the coefficients of modular polynomials for Drinfeld modules ⋮ Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields ⋮ On the variation of Tate-Shafarevich groups of elliptic curves over hyperelliptic curves

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