| Title:
|
Torsion groups of a family of elliptic curves over number fields (English) |
| Author:
|
Dey, Pallab Kanti |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
161-171 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We compute the torsion group explicitly over quadratic fields and number fields of degree coprime to 6 for a family of elliptic curves of the form $E\colon y^2 = x^3 +c$, where $c$ is an integer. (English) |
| Keyword:
|
torsion group |
| Keyword:
|
elliptic curve |
| Keyword:
|
number field |
| MSC:
|
11R04 |
| MSC:
|
14H52 |
| idZBL:
|
Zbl 07088776 |
| idMR:
|
MR3923581 |
| DOI:
|
10.21136/CMJ.2018.0214-17 |
| . |
| Date available:
|
2019-03-08T14:58:46Z |
| Last updated:
|
2021-04-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147624 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
