The maximal rank of elliptic Delsarte surfaces

Bas Heijne
2011 Mathematics of Computation  
Shioda described a method to compute the Lefschetz number of a Delsarte surface. In one of his examples he uses this method to compute the rank of an elliptic curve over kptq. In this article we find all elliptic curves over kptq for which his method is applicable. For these curves we also compute the maximal Mordell-Weil rank.
doi:10.1090/s0025-5718-2011-02529-9 fatcat:7xzy2oshvvhjbcz7ldksdosmoy