4 papers
On Galois Embedding Problems Arising from 3-Torsion of Elliptic Curves
José-A. Gálvez, Joan-C. Lario
We study Galois embedding problems arising from the 3-torsion of elliptic curves defined over , extending the correspondence to all possible images of mod 3 Galois repr…
Faltings elliptic curves in twisted -isogeny classes
Enrique González-Jiménez, Joan-C. Lario
Let be the graph attached to the -isogeny class of an elliptic curve defined over : that is, a vertex for every elliptic curve defined over in…
Diophantine stability for curves over finite fields
Francesc Bars, Joan Carles Lario, Brikena Vruoni
We carry out a survey on curves defined over finite fields that are Diophantine stable; that is, with the property that the set of points of the curve is not altered under a proper…
Ruler and compass constructions in the Lemniscate and the 17-gon
Mariángeles Gómez-Molleda, Joan-C. Lario
We present several ruler and compass practical geometric constructions that can be performed in the lemniscate curve. To be precise, we provide recipes for halving, doubling, addin…