Average size of 2-Selmer groups of elliptic curves over function fields
نویسندگان
چکیده
منابع مشابه
Average size of 2-Selmer groups of elliptic curves over function fields
Employing a geometric setting inspired by the proof of the Fundamental Lemma, we study some counting problems related to the average size of 2-Selmer groups and hence obtain an estimate for it.
متن کاملAverage Size of 2-selmer Groups of Elliptic Curves, I
In this paper, we study a class of elliptic curves over Q with Qtorsion group Z2×Z2, and prove that the average order of the 2-Selmer groups is bounded.
متن کاملAverage Size of 2-selmer Groups of Elliptic Curves, Ii
In this paper, we consider the average order of the 2-Selmer groups of elliptic curves over Q given by the equation E : y2 = x(x + a)(x + b), where a and b are integers. We show that, with a being fixed, the average order of the 2-Selmer groups of such curves closely depends on a. More exactly, we show that the average order is bounded if |a| is not a square and unbounded if |a| is the square o...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2014
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2014.v21.n6.a6