On elliptic curves whose conductor is a product of two prime powers
M Sadek - Mathematics of Computation, 2014 - ams.org
Mathematics of Computation, 2014•ams.org
We find all elliptic curves defined over $\mathbb {Q} $ that have a rational point of order $
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
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
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