Omer Avci

collaborators

3 papers

math.NT2026

Existence and non-existence of rational elliptic curves with prescribed torsion subgroups over quadratic fields

Omer Avci

Let $K = Q (- p)$ be a quadratic field for an odd prime $p$ . We show that there exist infinitely many primes $p$ for which no elliptic curve $E / Q$ has torsion…

math.NT2025

Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of $Q$

Omer Avci

Let $E$ be an elliptic curve defined over $Q$ . In this article, we classify all groups that can arise as $E (Q (I^¶_{p}))_{tors}$ up to isomorphism for any prim…

math.NT2025

Torsion of Rational Elliptic Curves over the $Z_{p}$ -Extensions of Quadratic Fields

Omer Avci

Let $E$ be an elliptic curve defined over $Q$ . For a quadratic number field $K$ and an odd prime number $p$ , let $L$ be a $Z_{p}$ -extension of $K$ . We prove that $E…

Existence and non-existence of rational elliptic curves with prescribed torsion subgroups over quadratic fields

Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of Q

Torsion of Rational Elliptic Curves over the Zp​-Extensions of Quadratic Fields

Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of $Q$

Torsion of Rational Elliptic Curves over the $Z_{p}$ -Extensions of Quadratic Fields