Name
Abstract | ||
|---|---|---|
Given an elliptic curve E/Q with torsion subgroup G = E(Q)(tors) we study what groups (up to isomorphism) can occur as the torsion subgroup of E base- extended to K, a degree 6 extension of Q. We also determine which groups H = E(K)(tors) can occur infinitely often and which ones occur for only finitely many curves. This article is a first step towards a complete classification of torsion growth over sextic fields. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1090/mcom/3440 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Elliptic curves,torsion subgroup,rationals,sextic fields | Rational number,Torsion (mechanics),Mathematical analysis,Elliptic curve,Torsion subgroup,Mathematics | Journal |
Volume | Issue | ISSN |
89 | 321 | 0025-5718 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Harris B. Daniels | 1 | 2 | 0.78 |
| Enrique González-Jiménez | 2 | 4 | 2.33 |