An infinite family of elliptic curves over Q with large rank via Néron's method.
Tesuji Shioda (1991)
Inventiones mathematicae
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Tesuji Shioda (1991)
Inventiones mathematicae
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Armand Brumer, Oisín McGuinness (1992)
Inventiones mathematicae
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Rogers, Nicholas F. (2000)
Experimental Mathematics
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Dujella, Andrej, Janfada, Ali S., Salami, Sajad (2009)
Journal of Integer Sequences [electronic only]
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Delaunay, C., Duquesne, S. (2003)
Experimental Mathematics
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Kumiko Nakata (1979)
Manuscripta mathematica
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Leopoldo Kulesz (2003)
Acta Arithmetica
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Hizuru Yamagishi (1998)
Manuscripta mathematica
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David E. Rohrlich (1984)
Inventiones mathematicae
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D.W. Masser, G. Wüstholz (1990)
Inventiones mathematicae
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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.
Koh-ichi Nagao (1997)
Manuscripta mathematica
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