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math.NT2019
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…
math.NT2019
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…