Journal of the Ramanujan Mathematical Society

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Ranks of Elliptic Curves


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1 Department of Mathematics, Queen’s University, Kingston, Ontario, K7L 3N6, Canada
     

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Let E be an elliptic curve defined by a Weierstrass equation

y2 = x3 + Ax + B with A, B ∈ Q ------- (1) and

let E(D) be defined by

Dy2 = x3 + Ax + B with A, B ∈ Q


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  • Ranks of Elliptic Curves

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Authors

Jung-Jo Lee
Department of Mathematics, Queen’s University, Kingston, Ontario, K7L 3N6, Canada

Abstract


Let E be an elliptic curve defined by a Weierstrass equation

y2 = x3 + Ax + B with A, B ∈ Q ------- (1) and

let E(D) be defined by

Dy2 = x3 + Ax + B with A, B ∈ Q