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math.NT2019
Global methods for the symplectic type of congruences between elliptic curves
John Cremona, Nuno Freitas
We describe a systematic investigation into the existence of congruences between the mod torsion modules of elliptic curves defined over , including methods to dete…
math.NT2019
Class field theory, Diophantine analysis and the asymptotic Fermat's Last Theorem
Nuno Freitas, Alain Kraus, Samir Siksek
Recent results of Freitas, Kraus, Sengun and Siksek, give sufficient criteria for the asymptotic Fermat's Last Theorem to hold over a specific number field. Those works in turn bui…