4 papers
Sorting and labelling integral ideals in a number field
John Cremona, Aurel Page, Andrew V. Sutherland
We define a scheme for labelling and ordering integral ideals of number fields, including prime ideals as a special case. The order we define depends only on the choice of a monic…
The proportion of genus one curves over defined by a binary quartic that everywhere locally have a point
Manjul Bhargava, John Cremona, Tom Fisher
We consider the proportion of genus one curves over of the form where is a binary quartic form (or more generally of the form $…
Global methods for the symplectic type of congruences between elliptic curves
John Cremona, Nuno Freitas
We describe a systematic investigation into the existence of congruences between the mod torsion modules of elliptic curves defined over , including methods to dete…
On rational Bianchi newforms and abelian surfaces with quaternionic multiplication
John Cremona, Lassina Dembélé, Ariel Pacetti +2
We study the rational Bianchi newforms (weight 2, trivial character, with rational Hecke eigenvalues) in the LMFDB that are not associated to elliptic curves, but instead to abelia…