N,\; N\ge 4$, and whose conductor is of the form $ p^ aq^ b $, where $ p, q $ are two distinct primes and $ a, b $ are two positive integers. In particular, we prove that Szpiro's conjecture holds for these elliptic curves. References
Abstract
We find all elliptic curves defined over that have a rational point of order , and whose conductor is of the form , where are two distinct primes and are two positive integers. In particular, we prove that Szpiro’s conjecture holds for these elliptic curves. References