For a fixed prime p congruent to 1 modulo 4 we define the modular curve X H (p) associated to the subgroup of non-zero squares modulo p. In this paper we compute the cuspidal group for all such curves of genus g, 2≤g≤10 and compare this with the torsion group of the Jacobian J H (ℚ(p)) tors .
Elvira Lupoian (Thu,) studied this question.