An integrality criterion for elliptic modular forms

Andrea Mori

Displaying similar documents to “An integrality criterion for elliptic modular forms”

Modular parametrizations of certain elliptic curves

Matija Kazalicki, Koji Tasaka (2014)

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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. ...

On the finiteness of $S h$ for motives associated to modular forms.

Besser, Amnon (1997)

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Cremona, John E. (1997)

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Formal Groups Attached to Elliptic Modular Forms

Takayuki Oda (1980)

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Hiraoka, Yoshio (2000)

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D. Choi (2006)

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Nonvanishing theorems for L-functions of modular forms and their derivatives.

J. Hoffstein, D., Friedberg, S. Bump (1990)

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Classical and overconvergent modular forms

Robert F. Coleman (1995)

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Arithmetic of the modular function $j_{1, 4}$

Chang Heon Kim, Ja Kyung Koo (1998)

Acta Arithmetica

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We find a generator $j_{1, 4}$ of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator $N (j_{1, 4})$ which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.