Elliptic curves of conductor 11

M. K. Agrawal*, J. H. Coates, D. C. Hunt, A. J. Vanderpoorten

*Corresponding author for this work

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We determine all elliptic curves defined over Q of conductor 11.Firstly, we reduce the problem to one of solving a diophantine equation, namely a certain ThueMahler equation.Then we apply recent sharp inequalities for linear forms in the logarithms of algebraic numbers to bound solutions of that equation. Finally, some straightforward computations yield all solutions of the diophantine equation.Our results are in accordance with the conjecture of Taniyama Weil for conductor 11.

Original languageEnglish
Pages (from-to)991-1002
Number of pages12
JournalMathematics of Computation
Volume35
Issue number151
DOIs
Publication statusPublished - 1980

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    Agrawal, M. K., Coates, J. H., Hunt, D. C., & Vanderpoorten, A. J. (1980). Elliptic curves of conductor 11. Mathematics of Computation, 35(151), 991-1002. https://doi.org/10.1090/S0025-5718-1980-0572871-5