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arxiv: math/9912249 · v1 · submitted 1999-12-01 · 🧮 math.NT

Ranks of elliptic curves in families of quadratic twists

classification 🧮 math.NT
keywords ellipticquadraticrankstwistscertaincurvecurvesdivergence
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We show that the unboundedness of the ranks of the quadratic twists of an elliptic curve is equivalent to the divergence of certain infinite series.

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