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Math Help - elliptic torsion group

  1. #1
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    elliptic torsion group

    please explain how to show that  E(\mathbb{Q})[4] is a group of order at most 8.
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  2. #2
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    Quote Originally Posted by zverik136 View Post
    please explain how to show that  E(\mathbb{Q})[4] is a group of order at most 8.

    Use Mazur's Theorem: the torsion group of non-singular elliptic curve over \mathbb{Q} has one of the following forms

    (i) A cyclic group of order
    N with 1 N 10 or N = 12.

    (ii) The product of a cyclic group of order two and a cyclic group of order
    2N

    with 1 N 4.

    Tonio
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