@article {
author = {Filom, K.},
title = {A descent method for explicit computations on curves},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {6},
pages = {1989-2016},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {It is shown that the knowledge of a surjective morphism $X\to Y$ of complex curves can be effectively used to make explicit calculations. The method is demonstrated by the calculation of $j(n\tau)$ (for some small $n$) in terms of $j(\tau)$ for the elliptic curve with period lattice $(1,\tau)$, the period matrix for the Jacobian of a family of genus-$2$ curves complementing the classic calculations of Bolza and explicit general formulae for branched covers of an elliptic curve with exactly one ramification point.},
keywords = {Algebraic curves,branched covers,elliptic curves},
url = {http://bims.iranjournals.ir/article_1079.html},
eprint = {http://bims.iranjournals.ir/article_1079_545c2bcc6cfdf11ec7739e314d3a881f.pdf}
}