2 papers
math.NT2018
Polygones fondamentaux d'une courbe modulaire
Karim Belabas, Dominique Bernardi, Bernadette Perrin-Riou
A few pages in Siegel describe how, starting with a fundamental polygon for a compact Riemann surface, one can construct a symplectic basis of its homology. This note retells that…
math.NT2018
La constante de Manin et le degré modulaire d'une courbe elliptique
Karim Belabas, Dominique Bernardi, Bernadette Perrin-Riou
We revisit the calculation of the strong Weil curve in an isogeny class of elliptic curves over Q, of the Manin constant and modular degree of an elliptic curve, using modular symb…