The J-Invariant of a Complex Torus (or) of an Algebraic Elliptic Curve

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MATH 520B Presentation: j-invariants, Elliptic Curves and Moduli Spaces MATH 520B Presentation: j-invariants, Elliptic Curves and Moduli Spaces
Klein Klein's j-Invariant j(τ) under τ→-1/τ in SL(2,R)
Complex points of an elliptic curve Complex points of an elliptic curve
Isomorphic Elliptic Curves and j invariant Isomorphic Elliptic Curves and j invariant
A Fundamental Region in the Upper Half-Plane for the Elliptic Modular J-Invariant A Fundamental Region in the Upper Half-Plane for the Elliptic Modular J-Invariant
Moduli of Elliptic Curves Moduli of Elliptic Curves
Complex Tori are the same as Elliptic Algebraic Projective Curves Complex Tori are the same as Elliptic Algebraic Projective Curves
Klein Klein's j(τ) whirling upon SL(2,R) with its root exp(2πi/3) fixed