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Large Shafarevich–Tate groups over quadratic number fields.
- Source :
-
Journal of Number Theory . Jun2019, Vol. 199, p98-109. 12p. - Publication Year :
- 2019
-
Abstract
- Abstract Let E be an elliptic curve over the rational field Q. Let K be a quadratic extension of Q. We show that (under mild conditions on E) for every r > 0 , there are infinitely many quadratic twists E d / Q of E / Q such that Image 1. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ELLIPTIC curves
*GROUP theory
*QUADRATIC fields
*MATHEMATICS
*MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 199
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 134904811
- Full Text :
- https://doi.org/10.1016/j.jnt.2018.12.012