Equations for the modular curve $X_1(N)$ and models of elliptic curves with torsion points
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- by Houria Baaziz PDF
- Math. Comp. 79 (2010), 2371-2386 Request permission
Abstract:
We describe an algorithm for constructing plane models of the modular curve $X_1(N)$ and discuss the resulting equations when $N\leq 51$.References
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Additional Information
- Houria Baaziz
- Affiliation: USTHB Faculté de Mathématiques, BP 32 El Alia Bab Ezzouar Alger, 16111 Algeria
- Email: houriarz@yahoo.com
- Received by editor(s): August 29, 2008
- Received by editor(s) in revised form: July 17, 2009
- Published electronically: April 16, 2010
- Additional Notes: This work was done at the Laboratoire de Mathématiques Nicolas Oresme of the University of Caen. I am deeply indebted to Professor John Boxall for advice and encouragement during my stay at the University of Caen. I am grateful to all members of the Laboratory for their reception and for the provision of facilities. Finally, I would like to thank the referee for his helpful comments on an earlier version of the paper.
- © Copyright 2010 American Mathematical Society
- Journal: Math. Comp. 79 (2010), 2371-2386
- MSC (2010): Primary 11F03; Secondary 11G05, 11G18, 11G30
- DOI: https://doi.org/10.1090/S0025-5718-10-02332-X
- MathSciNet review: 2684370