Rational isogenies of prime degree

@article{Mazur1978RationalIO,
  title={Rational isogenies of prime degree},
  author={Barry Mazur and Dorian Goldfeld},
  journal={Inventiones mathematicae},
  year={1978},
  volume={44},
  pages={129-162}
}
In this table, g is the genus of Xo(N), and v the number of noncuspidal rational points of Xo(N) (which is, in effect, the number of rational N-isogenies classified up to "twist"). For an excellent readable account of isogenies and their related diophantine problems, see Ogg's [25, 26]. The first column of the table corresponds to the genus 0 cases; for each of these values of N rational parametrizat ions of Xo(N) are known [10]. For each integer N, and each order R ~ Q(1/-ZN) such that R… 
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