# 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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