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arXiv · 1206.3715

On elliptic curves whose conductor is a product of two prime powers

Mohammad Sadek
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Abstract

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, a, b are two positive integers. In particular, we prove that Szpiro's conjecture holds for these elliptic curves.

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Mohammad Sadek. 2012-10-14. On elliptic curves whose conductor is a product of two prime powers. https://arxiv.org/abs/1206.3715

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