On the equation . (Sur l'équation .)
Kraus, Alain (1998)
Experimental Mathematics
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Displaying similar documents to “Integral points of a modular curve of level 11”
On the equation . (Sur l'équation .)
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Kaneko and Sakai (2013) recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings. ...
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Loïc Merel (1999)
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We give a survey of methods used to connect the study of ternary diophantine equations to modern techniques coming from the theory of modular forms.
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Daeyeol Jeon, Chang Heon Kim (2007)
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P. Monsky (1996)
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Bielliptic and hyperelliptic modular curves X(N) and the group Aut(X(N))
Francesc Bars, Aristides Kontogeorgis, Xavier Xarles (2013)
Acta Arithmetica
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We determine all modular curves X(N) (with N ≥ 7) that are hyperelliptic or bielliptic. We also give a proof that the automorphism group of X(N) is PSL₂(ℤ/Nℤ), whence it coincides with the normalizer of Γ(N) in PSL₂(ℝ) modulo ±Γ(N).