“Frey’s curve”的概念、定义、翻译、参考文献-科学参考

单词	Frey’s curve
释义	Frey’s curve Mathematics Frey’s curve was an important link between Fermat’s Last Theorem and proving the modularity theorem. If there were a counterexample to Fermat’s Last Theorem, X^p + Y^p = Z^p, where p is an odd prime, then the elliptic curve with equation $y^{2} = x (x - X^{p}) (x + Y^{p})$ would not be modular. So if all elliptic curves are modular, then no such X,Y,Z can exist, which thus proves Fermat’s Last Theorem.
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