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Abstract
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For various families of elliptic curves over the integers, we obtain distribution results
towards the Lang–Trotter conjecture on average. We demonstrate the existence of
a congruence class bias in this context, and then investigate this further
computationally.
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Keywords
elliptic curves, traces of Frobenius, Lang–Trotter
conjecture
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Mathematical Subject Classification
Primary: 11G05, 14H52
Secondary: 11N37
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Milestones
Received: 4 April 2022
Revised: 9 May 2023
Accepted: 15 May 2023
Published: 2 October 2024
Communicated by Bjorn Poonen
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