Levels of positive definite ternary quadratic forms

Lehman, J. Larry

doi:10.1090/S0025-5718-1992-1106974-1

Levels of positive definite ternary quadratic forms
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Math. Comp. 58 (1992), 399-417 Request permission

Abstract:

The level N and squarefree character q of a positive definite ternary quadratic form are defined so that its associated modular form has level N and character ${\chi _q}$. We define à collection of correspondences between classes of quadratic forms having the same level and different discriminants. This makes practical a method for finding representatives of all classes of ternary forms having a given level. We also give a formula for the number of genera of ternary forms with a given level and character.

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