Stickelberger elements and modular parametrizations of elliptic curves.
Glenn Stevens (1989)
Inventiones mathematicae
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Glenn Stevens (1989)
Inventiones mathematicae
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Cremona, John E. (1997)
Experimental Mathematics
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Matija Kazalicki, Koji Tasaka (2014)
Acta Arithmetica
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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. ...
Takayuki Oda (1980)
Inventiones mathematicae
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E.-U. Gekeler, M. Reversat (1996)
Journal für die reine und angewandte Mathematik
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Quattrini, Patricia L. (2006)
Experimental Mathematics
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François Brunault (2008)
Acta Arithmetica
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Daeyeol Jeon, Chang Heon Kim (2004)
Acta Arithmetica
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Andreas Enge, Reinhard Schertz (2005)
Acta Arithmetica
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Loïc Merel (1999)
Journal de théorie des nombres de Bordeaux
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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.
Andrea Mori (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be an elliptic modular form level of N. We present a criterion for the integrality of at primes not dividing N. The result is in terms of the values at CM points of the forms obtained applying to the iterates of the Maaß differential operators.
Arjune Budhram (2002)
Acta Arithmetica
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Salvador Comalada, Enric Nart (1992)
Mathematische Annalen
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