Elliptic Curves over Q and 2-adic Images of Galois

  title={Elliptic Curves over Q and 2-adic Images of Galois},
  author={David Zureick-Brown},
We give a classification of all possible 2-adic images of Galois representations associated to elliptic curves over Q. To this end, we compute the ‘arithmetically maximal’ tower of 2-power level modular curves, develop techniques to compute their equations, and classify the rational points on these curves. 

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Dokchitser, Surjectivity of mod 2 representations of elliptic curves

  • Tim Dokchitser, Vladimir
  • Math. Z
  • 2012

Sutherland , Constructing elliptic curves over finite fields with prescribed torsion

  • V. Andrew
  • Math . Comp .
  • 2012

Sutherland , Modular polynomials via isogeny volcanoes

  • P. Parent Yu. Bilu, M. Rebolledo, Nils Bruin, Bjorn Poonen, Michael Stoll
  • Math . Comp .
  • 2012

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