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Paper detail

Formal Groups and Invariant Differentials of Elliptic Curves

In this paper, we find a power series expansion of the invariant differential $ω_E$ of an elliptic curve $E$ defined over $\mathbb{Q}$, where $E$ is described by certain families of Weierstrass equations. In addition, we introduce several congruence relations satisfied by the trace of the Frobenius endomorphism of $E$.

preprint2015arXivOpen access
Mohammad Sadek
math.NT
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Mohammad Sadek

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