Geodesic
A condition for the rationality of certain elliptic modular forms over primes dividing the level
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 2 (1991) no. 2, pp. 103-109

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Let \( f \) be a weight \( k \) holomorphic automorphic form with respect to \( \Gamma_{0} (N) \). We prove a sufficient condition for the integrality of \( f \) over primes dividing \( N \). This condition is expressed in terms of the values at particular \( CM \) curves of the forms obtained by iterated application of the weight \( k \) Maaß operator to \( f \) and extends previous results of the Author. 
@article{RLIN_1991_9_2_2_a1,
     author = {Mori, Andrea},
     title = {A condition for the rationality of certain elliptic modular forms over primes dividing the level},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {103--109},
     publisher = {mathdoc},
     volume = {Ser. 9, 2},
     number = {2},
     year = {1991},
     zbl = {0744.11020},
     mrnumber = {MR1120129},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a1/}
}
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Mori, Andrea. A condition for the rationality of certain elliptic modular forms over primes dividing the level. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 2 (1991) no. 2, pp. 103-109. http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a1/