论文信息 - On the number of Q-isomorphism classes of elliptic curves in each Q-isogeny class - 字舞流文

On the number of Q-isomorphism classes of elliptic curves in each Q-isogeny class

Abstract It is shown that there are at most eight Q-isomorphism classes of elliptic curves in each Q-isogeny class.

[1] B. Mazur,et al. Rational isogenies of prime degree , 1978 .

[2] Jean-Pierre Serre,et al. Points rationnels des courbes modulaires $X_0(N)$ , 1976 .

[3] The Modular Curve X0 (169) and Rational Isogeny , 1980 .

[4] D. Kubert. Universal Bounds on the Torsion of Elliptic Curves , 1976 .

[5] Felix Klein,et al. Vorlesungen über die Theorie der elliptischen Modulfunktionen , 1966 .

[6] The modular curve X0(39) and rational isogeny , 1979 .

[7] The modular curves X0(65) and X0(91) and rational isogeny , 1980 .

[8] M. A. Kenku. On the Modular Curves X0(125), X1(25), X1(49) , 1981 .

[9] G. Ligozat. Courbes modulaires de genre 1 , 1975 .

[10] Vorlesungen über die Theorie der elliptischen Modulfunctionen / Robert Klein ; ausgearbeitet und vervollständigt von Robert Fricke , 1890 .