Abstract
Let E denote an elliptic curve over Q without complex multiplication. It is shown that the exponents of the groups E(F p ) grow at least as fast as \( \frac{{\sqrt {P} \log \;p}}{{{{(\log \;\log \;p)}^2}}} \).
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Schoof, R. (1991). The exponents of the groups of points on the reductions of an elliptic curve. In: van der Geer, G., Oort, F., Steenbrink, J. (eds) Arithmetic Algebraic Geometry. Progress in Mathematics, vol 89. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0457-2_15
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DOI: https://doi.org/10.1007/978-1-4612-0457-2_15
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