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Computergestützte Aspekte modularer Formen und Galois-Darstellungen: Wie man C

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The case of elliptic curves (Schoof's algorithm) was at the birth of elliptic curve cryptography around 1985. Because these Galois representations typically have a nonsolvable image, this result is a major step forward from explicit class field theory, and it could be described as the start of the explicit Langlands program.The computation of the Galois representations uses their realization, following Shimura and Deligne, in the torsion subgroup of Jacobian varieties of modular curves.

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