Rational eigenvectors in spaces of ternary forms

DOI10.1090/S0025-5718-97-00821-1zbMath0880.11038MaRDI QIDQ3127338

Larry L. Lehman

Publication date: 8 April 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesexplicit computationsternary quadratic formsmodular forms of half-integral weight

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Uses Software

• ecdata

Cites Work

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• Construction of a cuspform of weight 3/2
• Thetareihen positiv definiter quadratischer Formen
• A classical Diophantine problem and modular forms of weight \(3/2\)
• The rank of the solutions of \(Y^2=X^3\pm p^3\) over \(\mathbb Q\)
• Rational points on elliptic curves with complex multiplication by the ring of integers in \({\mathbb{Q}}(\sqrt{-7})\)
• The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2
• On modular forms of half integral weight
• Ellitpic curves and modular functions
• Ternary quadratic forms and Shimura’s correspondence
• Newforms of half-integral weight.
• Levels of positive definite ternary quadratic forms

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