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FORMAL GROUPS AND INVARIANT DIFFERENTIALS OF ELLIPTIC CURVES
Published online by Cambridge University Press: 04 May 2015
Abstract
In this paper, we find a power series expansion of the invariant differential ${\it\omega}_{E}$ of an elliptic curve $E$ defined over $\mathbb{Q}$, where $E$ is described by certain families of Weierstrass equations. In addition, we derive several congruence relations satisfied by the trace of the Frobenius endomorphism of $E$.
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- © 2015 Australian Mathematical Publishing Association Inc.