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A Database of Elliptic Curves - First Report

机译:椭圆曲线数据库 - 第一次报告

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In the late 1980s, Brumer and McGuinness [2] undertook the construction of a database of elliptic curves whose absolute discriminant |Δ| was both prime and satisfied |Δ| ≤ 10~8. While the restriction to primality was nice for many reasons, there are still many curves of interest lacking this property. As ten years have passed since the original experiment, we decided to undertake an extension of it, simultaneously extending the range for the type of curves they considered, and also including curves with composite discriminant.
机译:在20世纪80年代后期,Brumer和McGuinness [2]承担了绝对判别|椭圆曲线数据库的构建,其绝对判别|Δ|均为素数和满足|δ| ≤10〜8。虽然对原始原因的限制很好,但仍有许多利益曲线缺乏这种财产。由于原来的实验自行到十年,我们决定突出它,同时延长他们考虑的曲线类型的范围,还包括复合判别曲线。

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