Mathematical Proceedings of the Cambridge Philosophical Society · 1979 · 38 citations · 3 references
Natural SciencesMathematicsCryptographyArithmetic GeometryElliptic CurvesModular ArithmeticModular FormsElliptic Curve ArithmeticElliptic Curve IsogeniesIsogeny ComputationModular Curves
Recently (3) Mazur proved that if N is a prime number such that some elliptic curve E over Q admits a Q-rational isogeny then N is one of 2, 3, 5, 7, 11, 13, 17, 19, 37, 43, 67 or 163.
3
Rational isogenies of prime degree
Barry Mazur, Dorian Goldfeld · Inventiones mathematicae · 1978 · 685 citations