关于X_0（N）的属
On the genera of X_0(N)
摘要：
设g_0（N）是模曲线X_0（N）的亏格。我们记录了序列{g_0（N）}的几个性质。即使g_0（N）的平均大小为1.25 N/pi^2，一个随机的正整数成为g_0（N）值的概率为零。此外，如果N是随机正整数，则g_0（N）以概率1是奇数。对任何N都不出现g_0（N）的最小非负整数是150;这样的最小奇数是49267。
英文摘要：
Let g_0(N) be the genus of the modular curve X_0(N). We record several properties of the sequence {g_0(N)}. Even though the average size of g_0(N) is 1.25N/pi^2, a random positive integer has probability zero of being a value of g_0(N). Also, if N is a random positive integer then g_0(N) is odd with probability one. The smallest non-negative integer not occuring as g_0(N) for any N is 150; the smallest such odd integer is 49267.
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。
