Key points are not available for this paper at this time.
The aim of this paper is to present elliptic curves defined over function fields of even characteristic having arbitrarily large Mordell-Weil rank. More precisely, we study elliptic curves arising as quartic twist of a supersingular elliptic curve defined over F₂ using the function field of a maximal curve C that admits an order 4 automorphism. For such elliptic curves we provide a rank formula for its Mordell-Weil group in terms of the genera of C and of another curve covered by C.
Borges et al. (Wed,) studied this question.