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A finiteness criterion for the number of rational points for twisted Weil elliptic curves

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Publication:1270448
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DOI10.1007/BF02342920zbMath0900.14008MaRDI QIDQ1270448

Alexei A. Panchishkin, Pavel I. Guerzhoy

Publication date: 2 November 1998

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Global ground fields in algebraic geometry (14G25) Algebraic functions and function fields in algebraic geometry (14H05)




Cites Work

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  • A classical Diophantine problem and modular forms of weight \(3/2\)
  • The rank of the solutions of \(Y^2=X^3\pm p^3\) over \(\mathbb Q\)
  • Heegner points and derivatives of \(L\)-series
  • On the arithmetic of special values of L functions
  • Values of abelian \(L\)-functions at negative integers over totally real fields
  • \(p\)-adic interpolation of real analytic Eisenstein series
  • The special values of the zeta functions associated with cusp forms
  • Notes on elliptic curves. II.
  • CYCLOTOMIC FIELDS AND MODULAR CURVES
  • The Scalar Product of Modular Forms
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