4 papers
Genus formulas for families of modular curves
Asimina S. Hamakiotes, Jun Bo Lau
For each open subgroup , there is a modular curve , defined as a quotient of the full modular curve , where is the l…
Bounds for the relative class number problem for function fields
Santiago Arango-Piñeros, María Chara, Asimina S. Hamakiotes +2
We establish bounds on a finite separable extension of function fields in terms of the relative class number, thus reducing the problem of classifying extensions with a fixed relat…
The maximal abelian extension contained in a division field of an elliptic curve over with complex multiplication
Asimina S. Hamakiotes
Let be an imaginary quadratic field, and let be an order in of conductor . Let be an elliptic curve with CM by , such th…
Eta-quotients of Prime or Semiprime Level and Elliptic Curves
Michael Allen, Nicholas Anderson, Asimina Hamakiotes +2
From the Modularity Theorem proven by Wiles, Taylor, et al, we know that all elliptic curves are modular. It has been shown by Martin and Ono exactly which are represented by eta-q…