Computing the modular degree of an elliptic curve.
Watkins, Mark (2002)
Experimental Mathematics
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Displaying similar documents to “Rank zero quadratic twists of modular elliptic curves”
Computing the modular degree of an elliptic curve.
Computing modular degrees using -functions
Christophe Delaunay (2003)
Journal de théorie des nombres de Bordeaux
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We give an algorithm to compute the modular degree of an elliptic curve defined over . Our method is based on the computation of the special value at of the symmetric square of the -function attached to the elliptic curve. This method is quite efficient and easy to implement.
On the distribution of analytic values on quadratic twists of elliptic curves.
Quattrini, Patricia L. (2006)
Experimental Mathematics
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The work of Gross and Zagier on Heegner points and the derivatives of -series
John Coates (1984-1985)
Séminaire Bourbaki
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An integrality criterion for elliptic 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.
Generalizing the Birch-Stephens theorem. I. Modular curves.
P. Monsky (1996)
Mathematische Zeitschrift
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The Way to the Proof of Fermat’s Last Theorem
Gerhard Frey (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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Arithmetic of elliptic curves and diophantine equations
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.
Primitive newforms of weight 3/2
Thomas Shemanske (1984)
Acta Arithmetica
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