An Elementary and Computational Approach to Heegner Points

نویسنده

  • SHELLY MANBER
چکیده

In this paper we present a method for explicitly computing rational points on elliptic curves using Heegner points. This method was crucial to the proof of Gross-Zagier, which proves the rank one case of the Birch and Swinnerton-Dyer Conjecture. Although this use of Heegner points can be found in many books and articles, we strive here to present it in a more concrete and complete form, and using explicit and elementary tools.

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تاریخ انتشار 2011