 ##  [Modular Method](/index.php/modular-method) 

  ##  [Modular Method](https://puremath.quantumdictionary.io/modular-method-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

An approach to Diophantine equations that links hypothetical algebraic solutions to modular forms, elliptic curves and Galois representations, using modularity and level-lowering to obtain contradictions or finiteness results.