Some computations with Hecke rings and deformation ring, with an appendix by Amod Agashe and William Stein
Lario, Joan-C. ; Schoof, René
Experiment. Math., Tome 11 (2002) no. 3, p. 303-311 / Harvested from Project Euclid
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In the proof by Wiles, completed by Taylor-Wiles, of the fact that all semistable elliptic curves over {\small $\QQ$} are modular, certain deformation rings play an important role. In this note, we explicitly compute these rings for the elliptic curve {\small $Y^2+XY=X^3-X^2-X-3$} of conductor 142.
Publié le : 2002-05-14
Classification:  Hecke rings,  deformation rings,  modularity,  elliptic curves,  11F80,  11F25 
@article{1062621223,
     author = {Lario, Joan-C. and Schoof, Ren\'e},
     title = {Some computations with Hecke rings and deformation ring, with an appendix by Amod Agashe and William Stein},
     journal = {Experiment. Math.},
     volume = {11},
     number = {3},
     year = {2002},
     pages = { 303-311},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1062621223}
}

Lario, Joan-C.; Schoof, René. Some computations with Hecke rings and deformation ring, with an appendix by Amod Agashe and William Stein. Experiment. Math., Tome 11 (2002) no. 3, pp.  303-311. http://gdmltest.u-ga.fr/item/1062621223/