The integer points on three related elliptic curves
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- by Andrew Bremner and Patrick Morton PDF
- Math. Comp. 39 (1982), 235-238 Request permission
Abstract:
The integer points on the three elliptic curves ${y^2} = 4c{x^3} + 13$, $c = 1,3,9$ are found, with an application to coding theory. It is also shown that there are precisely three nonisomorphic cubic extensions of the rationals with discriminant $- {3^5} \cdot 13$.References
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A. Bremner, R. Calderbank, P. Hanlon, P. Morton & J. Wolfskill, "Two-weight ternary codes and the equation ${y^2} = 4 \cdot {3^\alpha } + 13$," J. Number Theory. (To appear.)
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 39 (1982), 235-238
- MSC: Primary 10B10; Secondary 94B60
- DOI: https://doi.org/10.1090/S0025-5718-1982-0658228-9
- MathSciNet review: 658228