| Title:
|
The torsion subgroup of a family of elliptic curves over the maximal abelian extension of $\mathbb {Q}$ (English) |
| Author:
|
Dimabayao, Jerome Tomagan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
979-995 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We determine explicitly the structure of the torsion group over the maximal abelian extension of $\mathbb {Q}$ and over the maximal $p$-cyclotomic extensions of $\mathbb {Q}$ for the family of rational elliptic curves given by $y^2 = x^3 + B$, where $B$ is an integer. (English) |
| Keyword:
|
torsion group |
| Keyword:
|
elliptic curve |
| Keyword:
|
cyclotomic field |
| MSC:
|
11R18 |
| MSC:
|
14H52 |
| idZBL:
|
07285974 |
| idMR:
|
MR4181791 |
| DOI:
|
10.21136/CMJ.2020.0082-19 |
| . |
| Date available:
|
2020-11-18T09:43:42Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148406 |
| . |
| Reference:
|
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