Eleni Agathocleous

collaborators

3 papers

math.NT2024

Elliptic curves over Hasse pairs

Eleni Agathocleous, Antoine Joux, Daniele Taufer

We call a pair of distinct prime powers $(q_{1}, q_{2}) = (p_{1}^{a_{1}}, p_{2}^{a_{2}})$ a Hasse pair if $∣ q_{1} - q_{2} ∣ \leq 1$ . For such pairs, we study the relation between the set…

math.NT2018

The 3-part of the Ideal Class Group of a certain family of real cyclotomic fields

Eleni Agathocleous

In this paper we study the structure of the $3 -$ part of the ideal class group of a certain family of real cyclotomic fields with $3 -$ class number exactly $9$ and conductor equal to…

math.NT2018

On the class numbers of real cyclotomic fields of conductor $pq$

Eleni Agathocleous

The class numbers $h^{+}$ of the real cyclotomic fields are very hard to compute. Methods based on discriminant bounds become useless as the conductor of the field grows and method…

Elliptic curves over Hasse pairs

The 3-part of the Ideal Class Group of a certain family of real cyclotomic fields

On the class numbers of real cyclotomic fields of conductor pq

On the class numbers of real cyclotomic fields of conductor $pq$