Elliptic Curves
In the context of modular forms and modular curves, weight refers to a numerical attribute that describes the transformation properties of a modular form under the action of the modular group. Specifically, it indicates how a modular form behaves when its argument is transformed by elements of the group, helping to classify forms according to their symmetry and transformation characteristics. The weight is essential in understanding the space of modular forms and plays a crucial role in their applications in number theory and algebraic geometry.
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