CoCalc Public Fileswww / papers / merel2 / abstract.tex
Author: William A. Stein
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8\noindent{\bf Abstract}
9for {\it The field generated by the points of small prime
10order on an elliptic curve}
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13We prove that the field generated by the points
14of order~$p$ of an elliptic curve over~$\bar {\bf Q}$ is strictly bigger than
15the cyclotomic field generated by $p$th roots of unity, for~$p$ a prime
16number satisfying $p=11$ or $17\le p<1000$.
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