The Asymptotic Number of Torsion points in Elliptic Curves
黃秀戀小姐中央大學博士生 下午 3:00–4:00 鴻經館 107 室Given an elliptic curve E defined over a number field K. Let ³ be a
prime in K, F³ be the residue field of RK which is the ring of integers of K
and ˜E denote E modulo ³. Denote
E = the discriminant of E,
Pt = {³ ` K prime ideal in K with NK(³) B t and ³ Ñ mE},
K(t) = lPtl.
Let m N. We are interested in the limit
In this talk, we will use two methods to compute the limit.