An Example of an Elliptic Curve with a Positive Density of Prime Quadratic Twists Which Have Rank Zero
Reference18 articles.
1. D. Bump, S. Friedberg, and J. Hoffstein, Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives, Ann. of Math. 131 (1990), 53–127.
2. D. Bump, S. Friedberg, and J. Hoffstein, Nonvanishing theorems for L-functions of modular forms and their derivatives, Inventiones Math. 102 (1990), 543–618.
3. J. Coates and A. Wiles, On the conjecture of Berth and Swinnerton-Dyer, Invent. Math. 39 (1977), no. 3, 223–251.
4. L. E. Dickson, Theory of Numbers, vol. 2, Chelsea Publishing Co., 1966.
5. G. Frey, Der Rang der Lsungen von Y 2 = X 3 ± p 3 uber ℚ., Manuscripta Math. 48 (1984), no. 1–3, 71–101.