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Abstract: Let p be a prime number and M a quadratic number field, M not equal toQ\sqrt{p} if p is congruent to 1 modulo 4. We will prove that for anypositive integer d there exists a Galois extension F-Q with Galois group D {2p}and an elliptic curve E-Q such that F contains M and the p-Selmer group of E-Fhas size at least p^d.



Autor: Alex Bartel

Fuente: https://arxiv.org/







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