模空间序列$(M_{2k}(Γ_0(N)))_{k\in \mathbb{N}^*}$和$(S_{2k}(Γ_0(N)))_{k\in \mathbb{N}^*}$的结构和基。部件II：模块化蝴蝶狩猎
Structure and bases of modular space sequences $(M_{2k}(Γ_0(N)))_{k\in \mathbb{N}^*}$ and $(S_{2k}(Γ_0(N)))_{k\in \mathbb{N}^*}$. Part II: a modular butterfly hunt
摘要：
在本文的第一部分（包含其中三个）中，我们已经确定了级别$N$强模块单元的概念。它使我们能够构造模形式族$(M_{2k}(Γ_0(N)))_{k\in \mathbb{N}^*}$，并提出这些空间的显式基。正是从这个角度来看，我们写了这第二部分的结构和明确的基础上提出时，$1\leq N \leq 10$。
英文摘要：
In the first part of this article, which contains three of them, we have identified the notion of level $N$ strong modular unit. It enabled us to structure the modular forms family $(M_{2k}(Γ_0(N)))_{k\in \mathbb{N}^*}$ and to propose the explicit bases for these spaces. It is in this perspective that we wrote this second part where the structure and explicit bases are proposed when $1\leq N \leq 10$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
