The group of rational solutions of $y^{2}=x(x-1)(x-t^{2}-c)$
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- by Charles F. Schwartz PDF
- Trans. Amer. Math. Soc. 259 (1980), 33-46 Request permission
Abstract:
In this paper, we show that the Mordell-Weil group of the Weierstrass equation ${y^2} = x(x - 1)(x - {t^2} - c), c \ne 0, 1$ (i.e., the group of solutions (x,y), with $x, y \in {\textbf {C}}(t)$) is generated by its elements of order 2, together with one element of infinite order, which is exhibited.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 259 (1980), 33-46
- MSC: Primary 14H25; Secondary 10B05, 14H45, 14K20
- DOI: https://doi.org/10.1090/S0002-9947-1980-0561821-X
- MathSciNet review: 561821