A. Silverberg

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math.NT2000

Rank frequencies for quadratic twists of elliptic curves

Karl Rubin, Alice Silverberg

We give explicit examples of infinite families of elliptic curves E over Q with (nonconstant) quadratic twists over Q(t) of rank at least 2 and 3. We recover some results announced…

math.NT2000

Symplectic representations of inertia groups

A. Silverberg, Yu. G. Zarhin

Suppose $ℓ$ is a prime number, $ℓ > 3$ , $K$ is a field that is an unramified finite extension of the field $\Q_\ell$ of $ℓ$ -adic numbers, and $G$ is a finite group that is…