Demonstrates the absence of p-torsion points in elliptic curves having bad reduction at some primes, highlighting implications for number theory.
Let E be an elliptic curve over a number field K.For a prime p, the ptorsion points of E are the points of finite order p in the Mordell-Weil group E(K).In this paper, we show that E has no p-torsion points if E has bad reduction at some primes.
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Yasuda Masaya (2012) studied this question.
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