Torsion groups of a family of elliptic curves over number fields

Pallab Kanti Dey

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 1, page 161-171
  • ISSN: 0011-4642

Abstract

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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 : y 2 = x 3 + c , where c is an integer.

How to cite

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Dey, Pallab Kanti. "Torsion groups of a family of elliptic curves over number fields." Czechoslovak Mathematical Journal 69.1 (2019): 161-171. <http://eudml.org/doc/294706>.

@article{Dey2019,
abstract = {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.},
author = {Dey, Pallab Kanti},
journal = {Czechoslovak Mathematical Journal},
keywords = {torsion group; elliptic curve; number field},
language = {eng},
number = {1},
pages = {161-171},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Torsion groups of a family of elliptic curves over number fields},
url = {http://eudml.org/doc/294706},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Dey, Pallab Kanti
TI - Torsion groups of a family of elliptic curves over number fields
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 1
SP - 161
EP - 171
AB - 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.
LA - eng
KW - torsion group; elliptic curve; number field
UR - http://eudml.org/doc/294706
ER -

References

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