Exceptional units in a family of quartic number fields
نویسندگان
چکیده
We determine all exceptional units among the elements of certain groups of units in quartic number fields. These groups arise from a oneparameter family of polynomials with two real roots.
منابع مشابه
Exceptional elliptic curves over quartic fields
We study the number of elliptic curves, up to isomorphism, over a fixed quartic field K having a prescribed torsion group T as a subgroup. Let T = Z/mZ ⊕ Z/nZ, where m|n, be a torsion group such that the modular curve X1(m,n) is an elliptic curve. Let K be a number field such that there is a positive and finite number of elliptic curves E over K having T as a subgroup. We call such pairs (T,K) ...
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ورودعنوان ژورنال:
- Math. Comput.
دوره 67 شماره
صفحات -
تاریخ انتشار 1998