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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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. ...
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.
J. Hoffstein, D., Friedberg, S. Bump (1990)
Inventiones mathematicae
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Masataka Chida (2005)
Acta Arithmetica
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Cremona, John E. (1997)
Experimental Mathematics
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John Roderick Smart (1966)
Mathematische Zeitschrift
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Arjune Budhram (2002)
Acta Arithmetica
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F. Hirzebruch, D. Zagier (1976)
Inventiones mathematicae
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Besser, Amnon (1997)
Documenta Mathematica
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Hiraoka, Yoshio (2000)
Experimental Mathematics
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D. Choi (2006)
Acta Arithmetica
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