On Some Elliptic Curves Defined Over ... of Free Rank ... 9.
Kumiko Nakata (1979)
Manuscripta mathematica
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Displaying similar documents to “Q(T)-rank of elliptic curves and certain limit coming from the local points.”
On Some Elliptic Curves Defined Over ... of Free Rank ... 9.
On certain twisted families of elliptic curves of rank 8.
Hizuru Yamagishi (1998)
Manuscripta mathematica
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Rank computations for the congruent number elliptic curves.
Rogers, Nicholas F. (2000)
Experimental Mathematics
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A search for high rank congruent number elliptic curves.
Dujella, Andrej, Janfada, Ali S., Salami, Sajad (2009)
Journal of Integer Sequences [electronic only]
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Families of elliptic curves of high rank with nontrivial torsion group over ℚ
Leopoldo Kulesz (2003)
Acta Arithmetica
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An infinite family of elliptic curves over Q with large rank via Néron's method.
Tesuji Shioda (1991)
Inventiones mathematicae
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Elliptic curves of high rank with nontrivial torsion group over .
Kulesz, Leopoldo, Stahlke, Colin (2001)
Experimental Mathematics
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Integer Points and the Rank of Thue Elliptic Curves.
Joseph H. Silvermann (1982)
Inventiones mathematicae
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High rank eliptic curves of the form y = x + Bx.
Julián Aguirre, Fernando Castañeda, Juan Carlos Peral (2000)
Revista Matemática Complutense
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Seven elliptic curves of the form y = x + B x and having rank at least 8 are presented. To find them we use the double descent method of Tate. In particular we prove that the curve with B = 14752493461692 has rank exactly 8.
Calculating Root Numbers of Elliptic curves over Q.
Ian Connell (1994)
Manuscripta mathematica
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The average rank of elliptic curves I. With Appendix "The Explicit formula for elliptic curves over function fields" by Oisín McGuinness.
Armand Brumer, Oisín McGuinness (1992)
Inventiones mathematicae
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Numerical investigations related to the derivatives of the -series of certain elliptic curves.
Delaunay, C., Duquesne, S. (2003)
Experimental Mathematics
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An interesting family of curves of genus 1.
Bremner, Andrew (2000)
International Journal of Mathematics and Mathematical Sciences
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