A family of cyclic quartic fields arising from modular curves
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- by Lawrence C. Washington PDF
- Math. Comp. 57 (1991), 763-775 Request permission
Abstract:
We study a family of cyclic quartic fields arising from the covering of modular curves ${X_1}(16) \to {X_0}(16)$. An integral basis and a fundamental system of units are found. It is shown that a root of the quartic polynomial we construct is a translate of a cyclotomic period by an integer of the quadratic subfield of the quartic field.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Math. Comp. 57 (1991), 763-775
- MSC: Primary 11R16; Secondary 11G05
- DOI: https://doi.org/10.1090/S0025-5718-1991-1094964-6
- MathSciNet review: 1094964