2 papers
math.NT2026
On the Ramification of Quadratic Fields where there is a torsion growth
Miguel Pineda-Martín
Let be a rational elliptic curve whose torsion group grows over a quadratic field . In a previous paper, a relation between the primes of the conductor of and…
math.NT2025
On the torsion growth in quadratic number fields for elliptic curves defined over the rationals
Sara Arias-de-Reyna, Miguel Pineda-Martín, José M. Tornero
Given an elliptic curve defined over the field of rational numbers, it is known how its torsion subgroup may grow when we make a base change to a quadratic number field. In this pa…