The group of rational solutions of

Author:
Charles F. Schwartz

Journal:
Trans. Amer. Math. Soc. **259** (1980), 33-46

MSC:
Primary 14H25; Secondary 10B05, 14H45, 14K20

MathSciNet review:
561821

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we show that the Mordell-Weil group of the Weierstrass equation (i.e., the group of solutions (*x,y*), with ) is generated by its elements of order 2, together with one element of infinite order, which is exhibited.

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9947-1980-0561821-X

Keywords:
Weierstrass equation over function field,
Mordell-Weil group,
Gauss-Manin operator,
modular forms,
period relations

Article copyright:
© Copyright 1980
American Mathematical Society