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On the units generated by Weierstrass forms
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Date
2014-01-01
Author
Küçüksakallı, Ömer
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There is an algorithm of Schoof for finding divisors of class numbers of real cyclotomic fields of prime conductor. In this paper we introduce an improvement of the elliptic analogue of this algorithm by using a subgroup of elliptic units given by Weierstrass forms. These elliptic units which can be expressed in terms of x-coordinates of points on elliptic curves enable us to use the fast arithmetic of elliptic curves over finite fields.
Subject Keywords
Class-numbers
,
Fields
URI
https://hdl.handle.net/11511/32864
Journal
LMS JOURNAL OF COMPUTATION AND MATHEMATICS
DOI
https://doi.org/10.1112/s1461157014000163
Collections
Department of Mathematics, Article
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Ö. Küçüksakallı, “On the units generated by Weierstrass forms,”
LMS JOURNAL OF COMPUTATION AND MATHEMATICS
, pp. 303–313, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32864.