Growth of torsion groups of elliptic curves upon base change

From MaRDI portal
Publication:5216735

DOI10.1090/mcom/3478zbMath1480.11071arXiv1609.02515OpenAlexW2520916419WikidataQ127616554 ScholiaQ127616554MaRDI QIDQ5216735

Filip Najman, Enrique González-Jiménez

Publication date: 18 February 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02515




Related Items

Torsion for CM elliptic curves defined over number fields of degree 2𝑝Typically bounding torsion on elliptic curves with rational \(j\)-invariantAn Algorithm for Determining Torsion Growth of Elliptic Curves-adic images of Galois for elliptic curves over (and an appendix with John Voight)Arithmetic statistics and Diophantine stability for elliptic curvesTorsion groups of elliptic curves over ℚ(μp∞)Torsion growth over number fields of degree \(pq\)RANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONSGrowth of torsion groups of elliptic curves upon base change from number fieldsOdd degree isolated points on \(X_1(N)\) with rational \(j\)-invariantGrowth of torsion groups of elliptic curves over number fields without rationally defined CMOn the torsion of rational elliptic curves over quartic fieldsTorsion growth of rational elliptic curves in sextic number fieldsTorsion groups of elliptic curves over the \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\)\(\mathbb{Q}\)-curves over odd degree number fieldsExplicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fieldsComplete classification of the torsion structures of rational elliptic curves over quintic number fieldsCartan images and \(\ell \)-torsion points of elliptic curves with rational \(j\)-invariantOn the torsion of rational elliptic curves over sextic fieldsTorsion of elliptic curves with rational 𝑗-invariant defined over number fields of prime degreeON -CONGRUENT NUMBERS OVER REAL NUMBER FIELDSTorsion of elliptic curves in the compositum of Dihedral fields


Uses Software


Cites Work