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Finding Elliptic Curves with Many Integral Points

Description
In this paper we outline a method of producing reduced elliptic curves with many integral points and provide the results of the outlined computations, including several curves with hundreds of integral points. The first three sections give back-ground and describe our work with integral points on elliptic curves. The last…

In this paper we outline a method of producing reduced elliptic curves with many integral points and provide the results of the outlined computations, including several curves with hundreds of integral points. The first three sections give back-ground and describe our work with integral points on elliptic curves. The last section is unrelated to elliptic curves and provides a complete classification of self-descriptive numbers.
ContributorsJones, Benjamin Redington (Author) / Bremner, Andrew (Thesis director) / Sprung, Florian (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2020-12