Torsion on elliptic curves in isogeny classes

• Autores: Yasutsugu Fujita, Tetsuo Nakamura
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 11, 2007, págs. 5505-5515
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04212-2
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• Resumen

  • Let be an elliptic curve over a number field and its -isogeny class. We are interested in determining the orders and the types of torsion groups in . For a prime , we give the range of possible types of -primary parts of when runs over . One of our results immediately gives a simple proof of a theorem of Katz on the order of maximal -primary torsion in .