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J-line
In the study of the arithmetic of elliptic curves, the ''j''-line over any ring ''R'' is the coarse moduli scheme attached to the moduli problem Γ(1)]:〔.〕 : with the ''j''-invariant normalized a la Tate: ''j'' = 0 has complex multiplication by ''Z''(), and ''j'' = 1728 by ''Z''(). The ''j''-line can be seen as giving a coordinatization of the classical modular curve of level 1, ''X''0(1), which is isomorphic to the complex projective line.〔. See in particular (p. 378 ).〕 ==References==
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