Cyclic isogenies and nonstandard arithmetic

DOI10.1016/0022-314X(80)90027-XzbMath0439.14004MaRDI QIDQ1142260

No author found.

Publication date: 1980

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

modular curvesdiophantine equationsnonstandard arithmeticcyclic isogenies

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Nonstandard models of arithmetic (03H15) Global ground fields in algebraic geometry (14G25) Nonstandard arithmetic and field theory (12L15)

Cites Work

• On the finiteness theorem of Siegel and Mahler concerning diophantine equations
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• Galois properties of points of finite order of elliptic curves
• Quasifunctions on elliptic curves over local fields.

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