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Non-Triviality of Families of Heegner Points and Ranks of Selmer Groups over Anti Cyclotomic Towers
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Let E/Q be a modular elliptic curve of conductor N and let K be an imaginary quadratic field of discriminant prime to N. Assume that E is semistable at all the prime divisors of N which are inert in K, and that the Hasse-Weil L-function L(E/K, s) vanishes to even order at s = 1.
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