High Rank Elliptic Curves with Torsion Group Z/(2z)
نویسندگان
چکیده
We develop an algorithm for bounding the rank of elliptic curves in the family y2 = x3−B x, all of them with torsion group Z/(2Z) and modular invariant j = 1728. We use it to look for curves of high rank in this family and present four such curves of rank 13 and 22 of rank 12.
منابع مشابه
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تاریخ انتشار 2003