Ranks of elliptic curves in cubic extensions

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Abstract

Let E/Q be an elliptic curve defined over the rational field Q. We examine the rank of the Mordell-Weil group E(K) as Kranges over cubic extensions of Q.

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Kisilevsky, H. (2012). Ranks of elliptic curves in cubic extensions. In Number Theory, Analysis and Geometry: In Memory of Serge Lang (Vol. 9781461412601, pp. 369–383). Springer US. https://doi.org/10.1007/978-1-4614-1260-1_17

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