Generators and number fields for torsion points of a special elliptic curve
Let E be an elliptic curve with Weierstrass form y2=x3−px, where p is a prime number and let E[m] be its m-torsion subgroup. Let p1=(x1,y1) and p2=(x2,y2) be a basis for E[m], then we prove that ℚ(E[m])=ℚ(x1,x2,ξm,y1) in general. We also find all the generators and degrees of the extensions ℚ(E[m])/...
Main Authors: | Hasan Sankari, Mustafa Bojakli |
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Format: | Article |
Language: | English |
Published: |
Emerald Publishing
2020-08-01
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Series: | Arab Journal of Mathematical Sciences |
Subjects: | |
Online Access: | https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.10.002/full/pdf |
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