Numerical investigations related to the derivatives of the -series of certain elliptic curves.
Delaunay, C., Duquesne, S. (2003)
Experimental Mathematics
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Delaunay, C., Duquesne, S. (2003)
Experimental Mathematics
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Lemmermeyer, F., Mollin, R. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Dujella, Andrej, Janfada, Ali S., Salami, Sajad (2009)
Journal of Integer Sequences [electronic only]
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Tim Dokchitser (2007)
Acta Arithmetica
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Duke, W., Tóth, Á. (2002)
Experimental Mathematics
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David, Chantal, Fearnley, Jack, Kisilevsky, Hershy (2004)
Experimental Mathematics
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Rubin, Karl, Silverberg, Alice (2001)
Experimental Mathematics
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David E. Rohrlich (1993)
Compositio Mathematica
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Nicole Arthaud (1978)
Compositio Mathematica
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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.