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  1. No Access

    Article

    On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb {F}_{\varvec{q}} \)

    In this paper we study the difference between the 2-adic valuations of the cardinalities \( \# E( \mathbb {F}_{q^k} ) \) ...

    Josep M. Miret, Jordi Pujolàs, Javier Valera in Archiv der Mathematik (2018)

  2. No Access

    Article

    On the \({\ell}\) -adic valuation of the cardinality of elliptic curves over finite extensions of \({\mathbb{F}_{q}}\)

    Let E be an elliptic curve defined over a finite field \({\mathbb{F}_{q}}\) ...

    Josep M. Miret, Jordi Pujolàs, Javier Valera in Archiv der Mathematik (2015)

  3. No Access

    Article

    Curves of genus two over fields of even characteristic

    In this paper we classify curves of genus two over a perfect field k of characteristic two. We find rational models of curves with a given arithmetic structure for the ramification divisor and we give necessary a...

    Gabriel Cardona, Enric Nart, Jordi Pujolàs in Mathematische Zeitschrift (2005)