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most citedNew upper bounds on sphere packings I

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math.NT2026

An elliptic K3 surface X/Q(t) with Mordell-Weil rank 17, I: Formulas for X and base changes of rank 18 and 19

Noam D. Elkies

In [Elkies 2006, Elkies 2007] we announced a K3 surface X/Q with Néron--Severi group NS(X) = NS_Q(X) of rank 19 and an elliptic fibration of Mordell--Weil rank 17. This is the larg…