Optimal curves differing by a 3-isogeny
Acta Arithmetica (2013)
- Volume: 158, Issue: 3, page 219-227
- ISSN: 0065-1036
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topDongho Byeon, and Donggeon Yhee. "Optimal curves differing by a 3-isogeny." Acta Arithmetica 158.3 (2013): 219-227. <http://eudml.org/doc/279358>.
@article{DonghoByeon2013,
abstract = {Stein and Watkins conjectured that for a certain family of elliptic curves E, the X₀(N)-optimal curve and the X₁(N)-optimal curve of the isogeny class 𝓒 containing E of conductor N differ by a 3-isogeny. In this paper, we show that this conjecture is true.},
author = {Dongho Byeon, Donggeon Yhee},
journal = {Acta Arithmetica},
keywords = {elliptic curves; optimal curves; isogeny},
language = {eng},
number = {3},
pages = {219-227},
title = {Optimal curves differing by a 3-isogeny},
url = {http://eudml.org/doc/279358},
volume = {158},
year = {2013},
}
TY - JOUR
AU - Dongho Byeon
AU - Donggeon Yhee
TI - Optimal curves differing by a 3-isogeny
JO - Acta Arithmetica
PY - 2013
VL - 158
IS - 3
SP - 219
EP - 227
AB - Stein and Watkins conjectured that for a certain family of elliptic curves E, the X₀(N)-optimal curve and the X₁(N)-optimal curve of the isogeny class 𝓒 containing E of conductor N differ by a 3-isogeny. In this paper, we show that this conjecture is true.
LA - eng
KW - elliptic curves; optimal curves; isogeny
UR - http://eudml.org/doc/279358
ER -
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