Binary Quadratic Forms and the Ideal Class Group - math harvard 2025

1. Click ‘Get Form’ to open it in the editor.
2. Begin by reviewing the introduction section, which outlines the key concepts of genus theory and its relation to binary quadratic forms. This foundational knowledge will help you understand how to fill out the form effectively.
3. Move on to the definitions and discriminant section. Here, input your integral quadratic form parameters (a, b, c) into the designated fields. Ensure that these values are relatively prime for a primitive form.
4. In the Lagrange’s Theory of Reduced Forms section, identify if your quadratic form meets the criteria for being reduced. Use our platform's tools to check equivalence relations and ensure proper representation.
5. Finally, explore the class group section. Fill in any relevant information regarding equivalence classes and their relationships with ideals. Utilize our platform’s features to visualize connections between forms and ideals.

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