Abstract
Let be an elliptic surface defined over a number field , let be a section, and let be a rational prime. We bound the number of points of low algebraic degree in the -division hull of at the fibre . Specifically, for with such that is nonsingular, we obtain a bound on the number of such that , and such that for some . This bound depends on , , , , and , but is independent of .
Citation
Patrick Ingram. "Specializations of elliptic surfaces, and divisibility in the Mordell–Weil group." Algebra Number Theory 5 (4) 465 - 493, 2011. https://doi.org/10.2140/ant.2011.5.465
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