We will show the utility of the classical Jacobi Thetanullwerte for the description of certain period lattices of elliptic curves, providing equations with good arithmetical properties. These equations will be the starting point for the construction of families of elliptic curves with everywhere good reduction.
[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
@article{urn:eudml:doc:41918, title = {Thetanullwerte: from periods to good equations.}, journal = {Publicacions Matem\`atiques}, year = {2007}, pages = {131-146}, zbl = {1185.11039}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41918} }
Guàrdia, Jordi. Thetanullwerte: from periods to good equations.. Publicacions Matemàtiques, (2007), pp. 131-146. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41918/