{"url":"https://elliptic-shiho.hatenablog.com/entry/2016/05/25/051435","provider_name":"Hatena Blog","description":"$\\def\\O{\\mathcal{O}}$ \u3053\u3053\u3067\u306f\u6a19\u65702, 3\u306e\u4f53\u306f\u8003\u3048\u306a\u3044\u305f\u3081, \u5168\u3066\u306e\u6955\u5186\u66f2\u7dda\u306fWeierstrass\u6a19\u6e96\u5f62 $y ^ 2 = x ^ 3+ax+b$ \u3067\u8868\u305b\u308b\u3068\u3059\u308b. \u307e\u305f, \u6955\u5186\u66f2\u7dda\u4e0a\u306e\u70b9 $P$ \u306e $x$ \u5ea7\u6a19\u3092 $x(P)$ , $y$ \u5ea7\u6a19\u3092 $y(P)$ \u3068\u8868\u3059. \u4f4d\u65702\u306e\u70b9 \u8907\u7d20\u6570\u4f53\u4e0a\u306e\u6955\u5186\u66f2\u7dda $y ^ 2 = x ^ 3 + ax + b$ \u4e0a\u306e\u7121\u9650\u9060\u70b9$\\O$\u3092\u9664\u304f\u70b9\u306e\u3046\u3061, \u4f4d\u65702\u3092\u6301\u3064\u70b9\u306e\u500b\u6570\u306f1\u500b, 2\u500b, 3\u500b\u306e\u3046\u3061\u3044\u305a\u308c\u304b\u3067\u3042\u308b. \u8a3c\u660e $2P = \\O$ \u304b\u3089 $P = -P$ . $P$ \u3092\u5ea7\u6a19\u8868\u793a\u3059\u308b\u3068 $(x, y)$ \u3068\u306a\u308a, \u3053\u2026","title":"\u6955\u5186\u66f2\u7dda\u306e\u4f4d\u65702, 3\u3092\u6301\u3064\u70b9\u306e\u500b\u6570","categories":["\u6570\u5b66","\u6955\u5186\u66f2\u7dda"],"author_name":"elliptic-shiho","image_url":null,"width":"100%","provider_url":"https://hatena.blog","author_url":"https://blog.hatena.ne.jp/elliptic-shiho/","height":"190","published":"2016-05-25 05:14:35","version":"1.0","blog_title":"\u208d\u208d (\u0e07 \u02d8\u03c9\u02d8 )\u0e27 \u207e\u207e < \u6697\u53f7\u697d\u3057\u3044\u3067\u3059","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Felliptic-shiho.hatenablog.com%2Fentry%2F2016%2F05%2F25%2F051435\" title=\"\u6955\u5186\u66f2\u7dda\u306e\u4f4d\u65702, 3\u3092\u6301\u3064\u70b9\u306e\u500b\u6570 - \u208d\u208d (\u0e07 \u02d8\u03c9\u02d8 )\u0e27 \u207e\u207e &lt; \u6697\u53f7\u697d\u3057\u3044\u3067\u3059\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","type":"rich","blog_url":"https://elliptic-shiho.hatenablog.com/"}