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A determination of the points which are rational over \(\mathbb Q\) of three modular curves. (English) Zbl 0475.14019

MSC:

14G05 Rational points
14H45 Special algebraic curves and curves of low genus
11F11 Holomorphic modular forms of integral weight
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References:

[1] Atkin, A.O.L, Modular forms of weight one and supersingular equations, () · Zbl 0186.36302
[2] Fricke, R, ()
[3] Mazur, B; Serre, J.-P, Points rationnels des courbes modulaires X0(N), (), No. 469 · Zbl 0346.14013
[4] Ogg, A.P, Rational points on certain elliptic modular curves, (), 221-231, No. 34 · Zbl 0273.14008
[5] Ogg, A.P, Hyperelliptic modular curves, Bull. soc. math. France, 102, 449-462, (1974) · Zbl 0314.10018
[6] Ogg, A.P, Diophantine equations and modular forms, Bull. amer. math. soc., 81, 14-27, (1975) · Zbl 0316.14012
[7] Shimura, G, (), Princeton Univ. Press, Princeton, N. J.
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