论文标题
除数公式和$ \ m rathbb {q} $ - 模块化曲线的gonality $ x_1（n）$
A Divisor Formula and a Bound on the $\mathbb{Q}$-gonality of the Modular Curve $X_1(N)$
论文作者
论文摘要
我们给出了$ x_1（n）$的模块化单位分隔线的公式，并用它来证明$ \ mathbb {q} $ - 模块曲线$ x_1（n）$的gonity the $ \ weft [\ frac {\ frac {\ frac {11n^2}} {840} {840} {840} {840} {840} \ terment $ belets $，
We give a formula for divisors of modular units on $X_1(N)$ and use it to prove that the $\mathbb{Q}$-gonality of the modular curve $X_1(N)$ is bounded above by $\left[\frac{11N^2}{840}\right]$, where $[\bullet]$ denotes the nearest integer.
