论文标题
通过Drinfeld模块化曲线对椭圆曲线的模块化参数化的明确计算
Explicit computation of the modular parametrization of elliptic curves over function fields by Drinfeld modular curves
论文作者
论文摘要
令Q为质量功率，并且是WeierStrass模型给出的FQ（T）上的非等分椭圆曲线。我们通过相关的Drinfeld模块化曲线对E对E的模块化参数化的构造进行了调查。然后，我们证明了一个公式，该公式使我们能够在牙尖评估此模块化参数化，并产生一种计算这些值的明确方法。最后，我们用特征2和3中的几个示例来说明结果。
Let q be a prime power and E a non-isotrivial elliptic curve over Fq(T) given by a Weierstrass model. We survey the construction, with an explicit point of view, of the modular parametrization of E by the associated Drinfeld modular curve. We then prove a formula that allows us to evaluate this modular parametrization at cusps and we produce an explicit method to compute these values. Finally we illustrate our results with several examples in characteristic 2 and 3.
