Linear forms in logarithms, effectivity and elliptic curves
Alf Van Der Poorten (1980)
Mémoires de la Société Mathématique de France
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Displaying similar documents to “Lower Bounds for Heights on Elliptic Curves.”
Linear forms in logarithms, effectivity and elliptic curves
On some elliptic curves with large sha.
Rose, Harvey E. (2000)
Experimental Mathematics
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Counting elliptic curves of bounded Faltings height
Ruthi Hortsch (2016)
Acta Arithmetica
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We give an asymptotic formula for the number of elliptic curves over ℚ with bounded Faltings height. Silverman (1986) showed that the Faltings height for elliptic curves over number fields can be expressed in terms of modular functions and the minimal discriminant of the elliptic curve. We use this to recast the problem as one of counting lattice points in a particular region in ℝ².
Estimating isogenies on elliptic curves.
D.W. Masser, G. Wüstholz (1990)
Inventiones mathematicae
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An effective Shafarevich theorem for elliptic curves
Clemens Fuchs, Rafael von Känel, Gisbert Wüstholz (2011)
Acta Arithmetica
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From the elliptic regulator to exotic relations.
Touafek, Nouressadat (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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When is a complex elliptic curve the product of two real algebraic curves?
J. Bochnak, J. Huisman (1992)
Mathematische Annalen
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On the number of large integer points on elliptic curves
P. G. Walsh (2009)
Acta Arithmetica
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Visualizing elements in the Shafarevich-Tate group.
Cremona, John E., Mazur, Barry (2000)
Experimental Mathematics
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Ranks of elliptic curves in families of quadratic twists.
Rubin, Karl, Silverberg, Alice (2000)
Experimental Mathematics
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Elliptic curves with bounded ranks in function field towers
Lisa Berger (2012)
Acta Arithmetica
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The number of elliptic curves over Q with conductor N.
Joseph H. Silverman, Armand Brumer (1996)
Manuscripta mathematica
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Approximating algebraic numbers by j-invariants of elliptic curves
Patrick Ingram (2008)
Acta Arithmetica
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A Theorem on Elliptic Differential Inequalities with an Application to Gradient Bounds.
Wolfgang Walter (1988/89)
Mathematische Zeitschrift
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Points of Order p on Elliptic Curves Over Q(...p).
S. Kamienny (1982)
Mathematische Annalen
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