Abstract

SHPARLINSKI, Igor E.. Exponents of Modular Reductions of Families of Elliptic Curves. Rev. Unión Mat. Argent. [online]. 2009, vol.50, n.1, pp.69-74. ISSN 0041-6932.

For some natural families of elliptic curves we show that "on average" the exponent of the point group of their reductions modulo a prime grows as .

Keywords : elliptic curves; group exponent; Farey fractions.

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