Rank frequencies for quadratic twists of elliptic curves

Experimental Mathematics

Volumn 10, Issue 4, 2001, Pages 559-569

  Rubin, Karl ^a   Silverberg, Alice ^b  

^a STANFORD UNIVERSITY   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039299848     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2001.10504676     Document Type: Article

References (8)

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2. F. Gouvêa and B. Mazur, "The square-free sieve and the rank of elliptic curves", J. Amer. Math. Soc. 4: 1 (1991), 1-23.
3. E. W. Howe, F. Leprévost, and B. Poonen, "Large torsion subgroups of split Jacobians of curves of genus two or three", Forum Math. 12: 3 (2000), 315-364.
4. J.-F. Mestre, "Rang de courbes elliptiques d'invariant donné", C. R. Acad. Sci. Paris Sere I Math. 314: 12 (1992), 919-922.
5. J.-F. Mestre, "Rang de certaines familIes de courbes elliptiques d'invariant donne", C. R. Acad. Sci. Paris Sér. I Math. 327: 8 (1998), 763-764.
6. D. E. Rohrlich, "Variation of the root number in families of elliptic curves", Compositio Math. 87: 2 (1993), 119-151.
7. J. H. Silverman, "Heights and the specialization map for families of abelian varieties", J. Reine Angew. Math. 342 (1983), 197-211.
8. C. L. Stewart and J. Top, "On ranks of twists of elliptic curves and power-free values of binary forms", J. Amer. Math. Soc. 8: 4 (1995), 943-973.