Topics in Algebra: Elliptic curves
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The purpose of this document is to comprehensively view the area of elliptic curves within algebra for exam preparations. This text explains in detail many problems which usually come in tests related to elliptic curves: explanation of the group law, addition formula of two complex points, Mordell-Weil theorem, application to number theory and cryptography. The paper gives an excellent understanding of the Weierstrass equations defining elliptic curves and problem-solving over finite fields. Thi...
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The purpose of this document is to comprehensively view the area of elliptic curves within algebra for exam preparations. This text explains in detail many problems which usually come in tests related to elliptic curves: explanation of the group law, addition formula of two complex points, Mordell-Weil theorem, application to number theory and cryptography. The paper gives an excellent understanding of the Weierstrass equations defining elliptic curves and problem-solving over finite fields. Thi...