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arxiv: 1611.05258 · v1 · pith:IOK7DRZRnew · submitted 2016-11-16 · 🧮 math.NT

Elliptic curves in isogeny classes

classification 🧮 math.NT
keywords curvesclassesellipticisogenyaveragedbecomesclosedistribution
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We show that the distribution of elliptic curves in isogeny classes of curves with a given value of the Frobenius trace $t$ becomes close to uniform even when $t$ is averaged over very short intervals inside the Hasse-Weil interval.

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