Structure of the cuspidal rational torsion subgroup of J1(p n)
Journal
Journal of the London Mathematical Society
Journal Volume
82
Journal Issue
1
Pages
203-228
Date Issued
2010
Author(s)
Abstract
Let p be a prime and let J1(pn) denote the Jacobian of the modular curve X1(pn). The Jacobian J1(pn) contains a -rational torsion subgroup generated by the cuspidal divisor classes [(a/p n)-(∞)], where p a. In this paper, we determine the structure of the p-primary subgroup of this ℚ-rational torsion subgroup in the case where p is a regular prime. © 2010 London Mathematical Society.
Type
journal article