On the Drinfeld modular polynomial \(\Phi_ T(X,Y)\)
type: Item
instance of: scholarly article
title: On the Drinfeld modular polynomial \(\Phi_ T(X,Y)\)
zbMATH Open document ID: 0826.11026
author: Andreas Schweizer
published in: Journal of Number Theory
publication date: 1995-07-25T00:00:00Z
review text: In a fashion similar to classical elliptic modular theory, one may attach to every monic, nonconstant \(f\in \mathbb{F}_q [T]\) a modular polynomial in the theory of Drinfeld modules. This polynomial gives much information, such as a model for the function field of the modular curve \(X_0 (f)\), etc. In this paper, the modular polynomial associated to \(f=T\) is studied. An algorithm for its computation is given and applications to supersingular invariants, Brandt matrices, and elliptic curves are presented.
Mathematics Subject Classification ID: 11G09
Mathematics Subject Classification ID: 11R58
zbMATH DE Number: 765161
zbMATH Keywords: modular polynomial
zbMATH Keywords: Drinfeld modules
zbMATH Keywords: modular curve
zbMATH Keywords: algorithm
zbMATH Keywords: supersingular invariants
zbMATH Keywords: Brandt matrices
zbMATH Keywords: elliptic curves
reviewed by: David Goss
MaRDI profile type: Publication
full work available at URL: jnth.1995.1055
OpenAlex ID: W2024311660
DOI: 10.1006/JNTH.1995.1055
description: scientific article; zbMATH DE number 765161