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Python EllipticCurve._set_cremona_label方法代码示例

本文整理汇总了Python中constructor.EllipticCurve._set_cremona_label方法的典型用法代码示例。如果您正苦于以下问题:Python EllipticCurve._set_cremona_label方法的具体用法?Python EllipticCurve._set_cremona_label怎么用?Python EllipticCurve._set_cremona_label使用的例子?那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在constructor.EllipticCurve的用法示例。


在下文中一共展示了EllipticCurve._set_cremona_label方法的1个代码示例,这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞,您的评价将有助于系统推荐出更棒的Python代码示例。

示例1: rank

# 需要导入模块: from constructor import EllipticCurve [as 别名]
# 或者: from constructor.EllipticCurve import _set_cremona_label [as 别名]
    def rank(self, rank, tors=0, n=10, labels=False):
        r"""
        Return a list of at most `n` non-isogenous curves with given
        rank and torsion order.

        INPUT:

        - ``rank`` (int) -- the desired rank

        - ``tors`` (int, default 0) -- the desired torsion order (ignored if 0)

        - ``n`` (int, default 10) -- the maximum number of curves returned.

        - ``labels`` (bool, default False) -- if True, return Cremona
          labels instead of curves.

        OUTPUT:

        (list) A list at most `n` of elliptic curves of required rank.

        EXAMPLES::

            sage: elliptic_curves.rank(n=5, rank=3, tors=2, labels=True)
            ['59450i1', '59450i2', '61376c1', '61376c2', '65481c1']

        ::

            sage: elliptic_curves.rank(n=5, rank=0, tors=5, labels=True)
            ['11a1', '11a3', '38b1', '50b1', '50b2']

        ::

            sage: elliptic_curves.rank(n=5, rank=1, tors=7, labels=True)
            ['574i1', '4730k1', '6378c1']

        ::

            sage: e = elliptic_curves.rank(6)[0]; e.ainvs(), e.conductor()
            ((1, 1, 0, -2582, 48720), 5187563742)
            sage: e = elliptic_curves.rank(7)[0]; e.ainvs(), e.conductor()
            ((0, 0, 0, -10012, 346900), 382623908456)
            sage: e = elliptic_curves.rank(8)[0]; e.ainvs(), e.conductor()
            ((0, 0, 1, -23737, 960366), 457532830151317)

        """
        from sage.env import SAGE_SHARE
        db = os.path.join(SAGE_SHARE, 'ellcurves')
        data = os.path.join(db, 'rank%s' % rank)
        if not os.path.exists(data):
            return []
        v = []
        tors = int(tors)
        for w in open(data).readlines():
            N, iso, num, ainvs, r, t = w.split()
            if tors and tors != int(t):
                continue
            label = '%s%s%s' % (N, iso, num)
            if labels:
                v.append(label)
            else:
                E = EllipticCurve(eval(ainvs))
                E._set_rank(r)
                E._set_torsion_order(t)
                E._set_conductor(N)
                E._set_cremona_label(label)
                v.append(E)
            if len(v) >= n:
                break
        return v
开发者ID:sharmaeklavya2,项目名称:sage,代码行数:71,代码来源:ec_database.py


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