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Der Rang der Lösungen von Y2=X3±p3 über 2e

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Literatur

  1. BIRCH, B.J.: Heegner Points of elliptic curves. Symposia Mathematica (1975)

  2. BIRCH, B.J., a. KUYK, W.: Modular Functions in one Variable IV. Springer LNM 476 (1975)

  3. BIRCH, B.J., a. SWINNERTON-DYER, H.P.F.: Notes on elliptic curves I. J. reine angew. Math. 218 (1963)

  4. BOREVICZ, S.I., u. ŠAFAREVIČ, I.R.: Zahlentheorie. Basel und Stuttgart 1966

  5. CASSELS, J.W.S.: Arithmetic on Curves of Genus 1, IV. J. reine angew. Math. 214 (1964)

  6. COATES, J., a. WIles, A.: On the conjecture of Birch and Swinnerton-Dyer. Invent. Math. 39 (1977)

  7. COHEN, H., e. OESTERLE, J.: Dimension des espaces de formes modulaires, in: Modular Functions of One Variable VI. Springer LNM 62 (1977)

  8. DELIGNE, P., e. SERRE, J.P.: Formes modulaires de poids l. Ann. Sc. de 1'ENS, 7 (1974)

  9. FREY, G.: Die Klassengruppen quadratischer und kubischer Zahlkörper und die Selmergruppen gewisser elliptischer Kurven. Manuscr. Math. 16 (1975)

  10. GROSS, B., e. ZAGIER, D.: C.R. des Séances de l'Acad. des Sciences (1983)

  11. KRETSCHMER, T.: Konstruktion elliptischer Kurven von hohem Rang. Diplomarbeit, Saarbrücken 1983

    Google Scholar 

  12. MANIN, J.I.: Cyclotomic fields and modular curves. Uspechi Mat. Nauk 26 (1971)

  13. SERRE, J.P.: Corps locaux. Paris.

  14. SERRE, J.P., a. STARK, H.M.: Modular forms of weight 1/2, in: Modular Functions of One Variable VI, Springer LNM 627 (1977)

  15. SHIMURA, G.: On modular forms of half-integral weight. Ann. of Math. 97 (1973)

  16. SHIMURA, G.: Introduction to the arithmetic theory of automorphic functions. Iwanami Shoten, Publishers and Princeton University Press (1971)

    Google Scholar 

  17. STEPHENS, N.M.: Heegner Points on elliptic curves. Proc. of “Formes modulaires et applications arithmetiques”, CIRM 1983

  18. TATE, J.: Rational points on elliptic curves. Phillips Lectures, Haverford College (1961)

  19. TUNNEL, J.B.: A Classical Diophantine Problem and Modular Forms of Weight 3/2. Invent. Math. 72 (1983)

  20. WALDSPURGER, J.-L.: Sur les coéfficients de Fourier des formes modulaires de poids demi-entier. J. Math. pures et appliquées 60 (4) (1981)

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Frey, G. Der Rang der Lösungen von Y2=X3±p3 über 2e. Manuscripta Math 48, 71–101 (1984). https://doi.org/10.1007/BF01169002

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