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The modular curve X0(39) and rational isogeny

  • M. A. Kenku (a1)
Abstract

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.

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References
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(3) B. Mazur Rational isogenies of prime degree. Inventiones Math. 44 (1978), 129162.

(5) A. P. Ogg Rational points on certain elliptic modular curves. Proc. Symp. Pure Math. AMS Providence, 24 (1973), 221231.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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