Abstract
We return to the ideas of Chapter 5 where the torsion in E(Q) was studied using the reduction map E(Q) → Ē(F p ). These local questions are taken up for any complete field K with a discrete valuation where the congruences of 5(4.3) are interpreted using the formal group introduced in Chapter 12, §7. This leads to a more precise version of 5(4.5).
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© 1987 Springer Science+Business Media New York
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Husemöller, D. (1987). Elliptic Curves over Local Fields. In: Elliptic Curves. Graduate Texts in Mathematics, vol 111. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5119-2_15
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DOI: https://doi.org/10.1007/978-1-4757-5119-2_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-5121-5
Online ISBN: 978-1-4757-5119-2
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