16 citations · 23 across the 4 of their papers we have counts for
5 papers
Towards a classification of -discriminant ideal twins over number fields
Alyson Deines, Asimina S. Hamakiotes, Andreea Iorga +3
Isogenous elliptic curves have the same conductor but not necessarily the same minimal discriminant ideal. In this article, we explicitly classify all -isogenous elliptic curv…
Prime isogenous discriminant ideal twins
Alexander J. Barrios, Maila Brucal-Hallare, Alyson Deines +2
Let and be elliptic curves defined over a number field . We say that and are discriminant ideal twins if they are not -isomorphic and have the…
Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
Alyson Deines, Jenny G. Fuselier, Ling Long +2
In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of `hyperg…
Generalized Legendre curves and Quaternionic Multiplication
Alyson Deines, Jenny G. Fuselier, Ling Long +2
This paper is devoted to abelian varieties arising from generalized Legendre curves. In particular, we consider their corresponding Galois representations, periods, and endomorphis…
A Database of Elliptic Curves over Q(sqrt(5)) - First Report
Jonathan Bober, Alyson Deines, Ariah Klages-Mundt +5
We describe a tabulation of (conjecturally) modular elliptic curves over the field Q(sqrt(5)) up to the first curve of rank 2. Using an efficient implementation of an algorithm of…