Rational Eigenvectors in Spaces of Ternary Forms
Document Type
Article
Digital Object Identifier (DOI)
10.1090/S0025-5718-97-00821-1
Journal Title
Mathematics of Computation
Publication Date
1997
Abstract
We describe the explicit computation of linear combinations of ternary quadratic forms which are eigenvectors, with rational eigenvalues, under all Hecke operators. We use this process to construct, for each elliptic curve of rank zero and conductor for which or is squarefree, a weight 3/2 cusp form which is (potentially) a preimage of the weight two newform under the Shimura correspondence.
Publisher Statement
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Recommended Citation
Lehman, L. (1997). Rational eigenvectors in spaces of ternary forms. Mathematics of Computation, 66(218), 833–839. https://doi.org/10.1090/S0025-5718-97-00821-1
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Comments
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