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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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(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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