Nuno Freitas

activity

20112026

most citedThe Asymptotic Fermat's Last Theorem for Five-Sixths of Real Quadratic Fields

41 citations · 104 across the 25 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.NT2014★ 25 cited

Fermat's Last Theorem over some small real quadratic fields

Nuno Freitas, Samir Siksek

Using modularity, level lowering, and explicit computations with Hilbert modular forms, Galois representations and ray class groups, we show that for $3 \leq d \leq 23$ squarefree, $…

math.NT2014

Criteria for p-ordinarity of families of elliptic curves over infinitely many number fields

Nuno Freitas, Panagiotis Tsaknias

Let $K_{i}$ be a number field for all $i \in Z_{> 0}$ and let $E$ be a family of elliptic curves containing infinitely many members defined over $K_{i}$ for all $i$ .…

math.NT2014

Base change for Elliptic Curves over Real Quadratic Fields

Luis Dieulefait, Nuno Freitas

Let E be an elliptic curve over a real quadratic field K and F/K a totally real finite Galois extension. We prove that E/F is modular.