The Elliptic Curves with the Conductor a Product of Three Distinct Prime Powers
Based on the complete classification of the torsion subgroup by Mazur,and results of the related diophantine equation,we determine all elliptic curves defined over Q with a rational point of the order n(n≥6,n ≠ 11)and the conductor paqbrc,where p,q,r are distinct primes,and a,b,c are positive integers.In particular,an upper bound of the minimal discriminant for these elliptic curves are given.
万方数据
维普
