Let be an elliptic curve defined over with conductor and denote by the modular parametrization:
In this paper, we are concerned with the critical and ramification points of . In particular, we explain how we can obtain a more or less experimental study of these points.
Soit une courbe elliptique définie sur de conducteur et soit son revêtement modulaire :
Dans cet article, nous nous intéressons aux points critiques et aux points de ramification de . En particulier, nous expliquons comment donner une étude plus ou moins expérimentale de ces points.
@article{JTNB_2005__17_1_109_0,
author = {Delaunay, Christophe},
title = {Critical and ramification points of the modular parametrization of an elliptic curve},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {109--124},
year = {2005},
publisher = {Universit\'e Bordeaux 1},
volume = {17},
number = {1},
doi = {10.5802/jtnb.480},
zbl = {1082.11033},
mrnumber = {2152214},
language = {en},
url = {https://www.numdam.org/articles/10.5802/jtnb.480/}
}
TY - JOUR AU - Delaunay, Christophe TI - Critical and ramification points of the modular parametrization of an elliptic curve JO - Journal de théorie des nombres de Bordeaux PY - 2005 SP - 109 EP - 124 VL - 17 IS - 1 PB - Université Bordeaux 1 UR - https://www.numdam.org/articles/10.5802/jtnb.480/ DO - 10.5802/jtnb.480 LA - en ID - JTNB_2005__17_1_109_0 ER -
%0 Journal Article %A Delaunay, Christophe %T Critical and ramification points of the modular parametrization of an elliptic curve %J Journal de théorie des nombres de Bordeaux %D 2005 %P 109-124 %V 17 %N 1 %I Université Bordeaux 1 %U https://www.numdam.org/articles/10.5802/jtnb.480/ %R 10.5802/jtnb.480 %G en %F JTNB_2005__17_1_109_0
Delaunay, Christophe. Critical and ramification points of the modular parametrization of an elliptic curve. Journal de théorie des nombres de Bordeaux, Tome 17 (2005) no. 1, pp. 109-124. doi: 10.5802/jtnb.480
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