Large integral points on elliptic curves
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- Math. Comp. 48 (1987), 425-436 Request permission
Addendum: Math. Comp. 51 (1988), 375.
Abstract:
We describe several methods which permit one to search for big integral points on certain elliptic curves, i.e., for integral solutions (x, y) of certain Diophantine equations of the form ${y^2} = {x^3} + ax + b\;(a,b \in {\mathbf {Z}})$ in a large range $|x|,|y| \leqslant B$, in time polynomial in $\log \log B$. We also give a number of individual examples and of parametric families of examples of specific elliptic curves having a relatively large integral point.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Math. Comp. 48 (1987), 425-436
- MSC: Primary 11G05; Secondary 11D25, 11Y50
- DOI: https://doi.org/10.1090/S0025-5718-1987-0866125-3
- MathSciNet review: 866125