From the elliptic regulator to exotic relations.
Touafek, Nouressadat (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Displaying similar documents to “Some families of non-congruent numbers”
From the elliptic regulator to exotic relations.
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Matthias Flach (1992)
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Daniel S. Kubert (1994)
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Patrick Ingram (2008)
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The Robbins problem for elliptic equations in space
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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.