Families of elliptic curves of high rank with nontrivial torsion group over ℚ
Leopoldo Kulesz (2003)
Acta Arithmetica
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Families of elliptic curves of high rank with nontrivial torsion group over ℚ
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High rank eliptic curves of the form y = x + Bx.
Julián Aguirre, Fernando Castañeda, Juan Carlos Peral (2000)
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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.
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Rogers, Nicholas F. (2000)
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Horst G. Zimmer (1977)
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