BOUNDS FOR THE TORSION OF ELLIPTIC CURVES OVER EXTENSIONS WITH BOUNDED RAMIFICATION
2010 ◽
Vol 06
(06)
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pp. 1293-1309
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Let E be a semi-stable elliptic curve defined over ℚ, and fix N ≥ 2. Let KN/ℚ be a maximal algebraic Galois extension of ℚ whose ramification indices are all at most N. We show that there exists a computable bound B(N), which depends only on N and not on the choice of E/ℚ, such that the size of E(KN) Tors is always at most B(N).
2009 ◽
Vol 05
(02)
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pp. 229-256
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2012 ◽
Vol 08
(08)
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pp. 1813-1830
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2015 ◽
Vol 100
(1)
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pp. 33-41
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2010 ◽
Vol 13
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pp. 370-387
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