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On the equivalence of binary quartics

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Cremona, J. E. and Fisher, T. A. (2009) On the equivalence of binary quartics. Journal of Symbolic Computation, Vol.44 (No.6). pp. 673-682. doi:10.1016/j.jsc.2008.09.004 ISSN 0747-7171.

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Official URL: http://dx.doi.org/10.1016/j.jsc.2008.09.004

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Abstract

We give an extension and correction to a result stated in the first author's paper [Cremona, J.E., 2001. Classical invariants and 2-descent on elliptic curves. J. Symbolic Comput. 31 (1-2), 71-87; Computational algebra and number theory. Milwaukee, WI, 1996], concerning the equivalence of binary quartics. In the earlier version the cases where I = 0 or J = 0 were not fully treated, and neither were the cases of reducible quartics or those whose resolvent cubic is reducible: these are dealt with here. We also give an alternative criterion for equivalence. (C) 2008 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of Symbolic Computation
Publisher: Elsevier Science Ltd. / Academic Press Ltd.
ISSN: 0747-7171
Official Date: June 2009
Dates:
DateEvent
June 2009Published
Volume: Vol.44
Number: No.6
Number of Pages: 10
Page Range: pp. 673-682
DOI: 10.1016/j.jsc.2008.09.004
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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