论文标题
重量1模块化形式的计算具有外在表示的模块化形式
Computation of weight 1 modular forms with exotic representations
论文作者
论文摘要
我们提出了一种用于计算重量1模块化形式的确定性算法，并具有外在的表示。该算法是Schaeffer的Hecke稳定方法的改进版本，它利用作者以前在重量2个全态形式的Twist-Minimal Trace公式上的工作，并提出了一种从特征p提升形式的方法。该算法用于计算最多10,000个水平的所有此类形式。加上萨瑟兰（Sutherland）对二面形式的计算，这使我们能够将所有重量的尺寸呈现到10,000级的所有重量1。
We present a deterministic algorithm for computing spaces of weight 1 modular forms with exotic representations. This algorithm is an improved version of Schaeffer's Hecke stability method, utilising the author's previous work on the twist-minimal trace formula for weight 2 holomorphic forms, and presenting a method of lifting forms from characteristic p. The algorithm was used to compute all such forms with level at most 10,000. Together with Sutherland's computation of dihedral forms, this allows us to present the dimensions of all weight 1 newform spaces up to level 10,000.
