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Models of Elliptic Curves with Maximal 2-adic Image Subject to a Rational 2-Isogeny
Let $E$ be a non-CM elliptic curve defined over $\mathbb{Q}$. We present models of curves that have 2-adic image as large as possible, given the constraint that they have a rational 2-isogeny. These curves are known to be generic, and one of the aims of this article is to make that fact explicit. Ou
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