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math.NT2025
Murmurations for elliptic curves ordered by height
Will Sawin, Andrew V. Sutherland
He, Lee, Oliver, and Pozdnyakov~\cite{HLOP} have empirically observed that the average of the th coefficients of the -functions of elliptic curves of particular ranks in a gi…
math.NT2025
Completely decomposable modular Jacobians
Jennifer Paulhus, Andrew V. Sutherland
We use recently developed algorithms and a new database of modular curves constructed for the L-functions and Modular Forms Database to enumerate completely decomposable modular Ja…