The concept of elliptic curves and modular kinds presents a fruitful assembly floor for such assorted components as quantity concept, advanced research, algebraic geometry, and illustration idea. This publication begins out with an issue from ordinary quantity thought and proceeds to guide its reader into the trendy thought, masking such subject matters because the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. This new version info the present country of information of elliptic curves.
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