Some Remarks on Heegner Point Computations
نویسندگان
چکیده
— We give an overview of the theory of Heegner points for elliptic curves, and then describe various new ideas that can be used in the computation of rational points on rank 1 elliptic curves. In particular, we discuss the idea of Cremona (following Silverman) regarding recovery a rational point via knowledge of its height, the idea of Delaunay regarding the use of Atkin-Lehner involutions in the selection of auxiliary parameters, and the idea of Elkies regarding descent and lattice reduction that can result in a large reduction in the needed amount of real-number precision used in the computation.
منابع مشابه
Heegner point computations over function fields
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