Families of elliptic curves of high rank with nontrivial torsion group over ℚ
Leopoldo Kulesz (2003)
Acta Arithmetica
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Leopoldo Kulesz (2003)
Acta Arithmetica
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Dujella, Andrej, Janfada, Ali S., Salami, Sajad (2009)
Journal of Integer Sequences [electronic only]
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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.
Rubin, Karl, Silverberg, Alice (2001)
Experimental Mathematics
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Rogers, Nicholas F. (2000)
Experimental Mathematics
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MacLeod, Allan J. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Delaunay, C., Duquesne, S. (2003)
Experimental Mathematics
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Tim Dokchitser (2007)
Acta Arithmetica
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Koh-ichi Nagao (1997)
Manuscripta mathematica
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Joseph H. Silvermann (1982)
Inventiones mathematicae
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Horst G. Zimmer (1977)
Mémoires de la Société Mathématique de France
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Noboru Aoki (2004)
Acta Arithmetica
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Tesuji Shioda (1991)
Inventiones mathematicae
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