Displaying similar documents to “Explicit local heights.”

A quantitative primitive divisor result for points on elliptic curves

Patrick Ingram (2009)

Journal de Théorie des Nombres de Bordeaux

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Let E / K be an elliptic curve defined over a number field, and let P E ( K ) be a point of infinite order. It is natural to ask how many integers n 1 fail to occur as the order of P modulo a prime of K . For K = , E a quadratic twist of y 2 = x 3 - x , and P E ( ) as above, we show that there is at most one such n 3 .