Tate, John T. The arithmetic of elliptic curves. (English) Zbl 0296.14018 Invent. Math. 23, 179-206 (1974). Reviewer: F. van der Blij Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 113 Documents MSC: 11G05 Elliptic curves over global fields 14H52 Elliptic curves 14H45 Special algebraic curves and curves of low genus 14K05 Algebraic theory of abelian varieties 14G99 Arithmetic problems in algebraic geometry; Diophantine geometry Citations:Zbl 0138.27002; Zbl 0197.47101 × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] Artin, M., Swinnerton-Dyer, H.P.F.: The Shafarevitch-Tate conjecture for pencils of elliptic curves onK3 surfaces. Inventiones math.20, 249-266 (1973) · Zbl 0289.14003 · doi:10.1007/BF01394097 [2] Atkin, A.O.L., Lehner, J.: Hecke operators on ?0(m). Math. Ann.185, 134-160 (1970) · doi:10.1007/BF01359701 [3] Baker, A., Coates, J.: Integer points on curves of genus I. Proc. Camb. Phil. 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