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p-division points on certain elliptic curves. (English) Zbl 0376.14010


MSC:

14G25 Global ground fields in algebraic geometry
14K15 Arithmetic ground fields for abelian varieties
14H45 Special algebraic curves and curves of low genus
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References:

[1] B.J. Birch : Diophantine analysis and modular functions . Proc. Conf. Algebraic Geometry (Bombay, 1968) 35-42. · Zbl 0246.10017
[2] R. Fricke : Lehrbuch der Algebra III . Braunschweig 1928. · JFM 54.0187.20
[3] A.P. Ogg : Hyperelliptic modular curves . Bull. Math. Soc. France, 102 (1974) 449-462. · Zbl 0314.10018 · doi:10.24033/bsmf.1789
[4] J.-P. Serre : Propriétés galoisiennes des points d’ordre fini des courbes elliptiques . Inventiones Math., 15 (1972) 259-331. · Zbl 0235.14012 · doi:10.1007/BF01405086
[5] K.-Y Shih : On the construction of Galois extensions of function fields and number fields . Math. Ann., 207 (1974) 99-120. · Zbl 0279.12102 · doi:10.1007/BF01362150
[6] G. Shimura : A reciprocity law in non-solvable extensions . J. Reine Angew. Math., 221 (1966) 209-220. · Zbl 0144.04204 · doi:10.1515/crll.1966.221.209
[7] G. Shimura : Introduction to the arithmetic theory of automorphic functions . Publ. Math. Soc. Japan, No. 11, Iwanami Shoten and Princeton University Press, 1971. · Zbl 0221.10029
[8] G. Shimura : Class fields over real quadratic fields and Hecke operators . Ann. of Math., 95 (1972) 130-190. · Zbl 0255.10032 · doi:10.2307/1970859
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